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Link to original content: http://www.vldb.org/pvldb/vol14/p1102-mottin.pdf
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-9.963 Td [ (Ivan) -250 (Osele) -7 (dets\054) -250 (and) -250 (Emmanuel) -250 (Mller) 59 (\056) -250 (FREDE\072) -250 (Anytime) -250 (Graph) ] TJ 0 -9.962 Td [ (Emb) -10 (e) -7 (ddings\056) -250 (P) -24 (VLDB\054) -250 (14\0506\051\072) -250 (1102) -250 (\055) -250 (1110\054) -250 (2021\056) ] TJ 0 -10.959 Td [ (doi\07210\05614778\0573447689\0563447713) ] TJ /F151 7.9701 Tf 0 -18.467 Td [ (P) -24 (VLDB) -250 (Artifact) -250 (A) 65 (vailability\072) ] TJ /F147 7.9701 Tf 1.017 0 0 1 53.559 258.261 Tm [ (The) -246 (sour) 7 (ce) -246 (co) -7 (de) 10 (\054) -246 (data\054) -247 (and\057or) -246 (other) -246 (artifacts) -247 (hav) 8 (e) -246 (b) -10 (e) -7 (en) -246 (made) -247 (available) -246 (at) ] TJ 1 0 0 1 53.798 247.302 Tm [ (https\072\057\057github) 20 (\056com\057xgfs\057fr) 8 (e) -7 (de\056) ] TJ /F151 10.9091 Tf 0 -21.492 Td [ (1) -1000 (IN) -37 (TRODUCTION) ] TJ /F147 8.9664 Tf 0.986 0 0 1 53.798 212.111 Tm [ (Lo) 7 (w\055dimensional) -252 (r) 8 (epr) 8 (esentations\054) -252 (or) ] TJ /F156 8.9664 Tf 0.986 0 0 1 188.727 212.111 Tm [ (emb) -10 (e) -7 (ddings) ] TJ /F147 8.9664 Tf 0.986 0 0 1 230.122 212.111 Tm [ (\054) -252 (of) -252 (graph\047s) -252 (no) -7 (des) ] TJ 0.98 0 0 1 53.798 201.152 Tm [ (pr) 8 (o) 7 (vide) -214 (a) -214 (multi\055purp) -7 (ose) -214 (to) -8 (ol) -214 (for) -214 (p) -7 (erforming) -214 (data) -215 (science) -214 (tasks) -214 (such) ] TJ 1.02 0 0 1 53.798 190.193 Tm [ (as) -270 (community) -270 (dete) -7 (ction\054) -269 (link) -270 (pr) 8 (e) -7 (diction\054) -270 (and) -270 (no) -7 (de) -270 (classi\033cation\056) ] TJ 1.02 0 0 1 53.798 179.234 Tm [ (Neural) -353 (emb) -10 (e) -7 (ddings) -353 (\133) ] TJ 1 0 0 1 133.737 179.234 Tm [ (12) ] TJ 1.02 0 0 1 142.076 179.234 Tm [ (\054) ] TJ 1 0 0 1 147.316 179.234 Tm [ (25) ] TJ 1.02 0 0 1 155.655 179.234 Tm [ (\054) ] TJ 1 0 0 1 160.895 179.234 Tm [ (33) ] TJ 1.02 0 0 1 169.233 179.234 Tm [ (\054) ] TJ 1 0 0 1 174.474 179.234 Tm [ (36) ] TJ 1.02 0 0 1 182.812 179.234 Tm [ (\135\054) -353 (compute) -7 (d) -353 (by) -353 (unsup) -7 (er) -14 (vise) -7 (d) ] TJ 1.02 0 0 1 53.798 168.276 Tm [ (r) 8 (epr) 8 (esentation) -333 (learning) -333 (o) 7 (v) 8 (er) ] TJ /F156 8.9664 Tf 1.02 0 0 1 164.686 168.276 Tm [ (nonlinear) ] TJ /F147 8.9664 Tf 1.02 0 0 1 203.009 168.276 Tm [ (transformations\054) -333 (outp) -7 (er\055) ] TJ 1.02 0 0 1 53.798 157.317 Tm [ (form) -294 (their) -294 (linear) -295 (counterparts) -294 (\133) ] TJ 1 0 0 1 172.692 157.317 Tm [ (23) ] TJ 1.02 0 0 1 181.031 157.317 Tm [ (\054) ] TJ 1 0 0 1 185.734 157.317 Tm [ (47) ] TJ 1.02 0 0 1 194.073 157.317 Tm [ (\135) -294 (in) -294 (task) -295 (p) -7 (erformance) 10 (\054) -294 (and) ] TJ 0 g 0 G ET q 1 0 0 1 53.798 149.245 cm [ ] 0 d 0 J 0.398 w 0 0 m 47.821 0 l S Q BT /F147 6.9738 Tf 54.296 140.443 Td [ (This) -250 (w) 8 (ork) -250 (is) -250 (license) -7 (d) -250 (under) -250 (the) -250 (Cr) 8 (eativ) 8 (e) -250 (Commons) -250 (BY) 49 (\055NC\055ND) -250 (4\0560) -250 (International) ] TJ -0.498 -7.97 Td [ (License) 10 (\056) -250 (Visit) -250 (https\072\057\057cr) 8 (eativ) 8 (e) -7 (commons\056org\057licenses\057by\055) -71 (nc\055) -72 (nd\0574\0560\057) -250 (to) -250 (vie) 7 (w) -250 (a) -250 (cop) 7 (y) -250 (of) ] TJ 0 -7.97 Td [ (this) -250 (license) 10 (\056) -250 (For) -250 (any) -250 (use) -250 (b) -10 (e) 7 (y) 8 (ond) -250 (those) -250 (co) 7 (v) 8 (er) 8 (e) -7 (d) -250 (by) -250 (this) -250 (license) 10 (\054) -250 (obtain) -250 (p) -7 (ermission) -250 (by) ] TJ 0.995 0 0 1 53.798 116.533 Tm [ (emailing) -250 (info\100) -10 (vldb) 20 (\056org\056) -250 (Cop) 7 (yright) -250 (is) -250 (held) -249 (by) -250 (the) -250 (o) 7 (wner\057author\050) 12 (s\051\056) -250 (Publication) -250 (rights) ] TJ 1 0 0 1 53.798 108.563 Tm [ (license) -7 (d) -250 (to) -250 (the) -250 (VLDB) -250 (Endo) 7 (wment\056) ] TJ 0 -7.97 Td [ (Pr) 8 (o) -7 (ce) -7 (e) -7 (dings) -250 (of) -250 (the) -250 (VLDB) -250 (Endo) 7 (wment\054) -250 (V) 80 (ol\056) -250 (14\054) -250 (No) 10 (\056) -250 (6) -250 (ISSN) -250 (2150\0558097\056) ] TJ 0 -7.97 Td [ (doi\07210\05614778\0573447689\0563447713) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G ET 1 0 0 1 354.004 487.487 cm q 0 G 0 g 0.3985 w q Q q q Q q Q q 1 0 0 1 0 0 cm q Q Q q Q q Q q Q q Q q 1 0 0 1 -0.199 -5.8 cm 1 0 0 1 0 0 cm q 1 0 0 1 34.793 5.8 cm q 0 G 0 g 0.3985 w q Q q q q q 0.19925 w 0.5 g 0.5 G S 0 g 0 G Q Q q q 0.19925 w 0.5 g 0.5 G -34.59467 0 m -30.34813 0 l -34.59467 17.00797 m -30.34813 17.00797 l -34.59467 34.01595 m -30.34813 34.01595 l -34.59467 51.02391 m -30.34813 51.02391 l -34.59467 68.03189 m -30.34813 68.03189 l -34.59467 85.03986 m -30.34813 85.03986 l 133.5743 0 m 129.32777 0 l 133.5743 17.00797 m 129.32777 17.00797 l 133.5743 34.01595 m 129.32777 34.01595 l 133.5743 51.02391 m 129.32777 51.02391 l 133.5743 68.03189 m 129.32777 68.03189 l 133.5743 85.03986 m 129.32777 85.03986 l S 0 g 0 G Q Q -34.59467 0 m -34.59467 85.03986 l 133.5743 85.03986 l 133.5743 0 l -34.59467 0 l h S q q 1 0 0 1 136.761 -2.708 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -525.359 -484.779 cm BT /F186 8.9664 Tf 525.359 484.779 Td [ (0) ] TJ ET 1 0 0 1 525.359 484.779 cm Q 1 0 0 1 -136.761 2.708 cm Q Q q q 1 0 0 1 136.761 14.3 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -525.359 -501.787 cm BT /F186 8.9664 Tf 525.359 501.787 Td [ (20) ] TJ ET 1 0 0 1 525.359 501.787 cm Q 1 0 0 1 -136.761 -14.3 cm Q Q q q 1 0 0 1 136.761 31.307 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -525.359 -518.794 cm BT /F186 8.9664 Tf 525.359 518.794 Td [ (40) ] TJ ET 1 0 0 1 525.359 518.794 cm Q 1 0 0 1 -136.761 -31.307 cm Q Q q q 1 0 0 1 136.761 48.315 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -525.359 -535.802 cm BT /F186 8.9664 Tf 525.359 535.802 Td [ (60) ] TJ ET 1 0 0 1 525.359 535.802 cm Q 1 0 0 1 -136.761 -48.315 cm Q Q q q 1 0 0 1 136.761 65.323 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -525.359 -552.81 cm BT /F186 8.9664 Tf 525.359 552.81 Td [ (80) ] TJ ET 1 0 0 1 525.359 552.81 cm Q 1 0 0 1 -136.761 -65.323 cm Q Q q q 1 0 0 1 136.761 82.331 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -525.359 -569.818 cm BT /F186 8.9664 Tf 525.359 569.818 Td [ (100) ] TJ ET 1 0 0 1 525.359 569.818 cm Q 1 0 0 1 -136.761 -82.331 cm Q Q -34.59467 0 m 133.5743 0 l 133.5743 85.03986 l -34.59467 85.03986 l h W n q 1.19553 w [ 2.98883 5.97766 ] 0 d 0 0 0.74902 RG 0 0 0.74902 rg -152.97586 0.63396 m -149.08386 0.85257 l -145.8465 1.07118 l -142.93349 1.2898 l -140.44324 1.50839 l -138.18484 1.72702 l -136.17802 1.94563 l -134.38763 2.16423 l -122.25317 4.35034 l -50.75198 6.53647 l -36.35323 8.72258 l -36.20761 10.90869 l -27.73161 13.0948 l -21.72095 15.28093 l -17.04872 17.46704 l -13.21118 19.65315 l -13.16034 21.83926 l -9.91248 24.02538 l -7.09229 26.2115 l -4.59744 28.39761 l -4.56432 30.58372 l -2.34462 32.76985 l -0.32303 34.95595 l 1.52142 37.14207 l 3.22194 39.32819 l 3.24556 41.5143 l 4.8162 43.70042 l 6.27827 45.88652 l 7.6518 48.07265 l 7.66983 50.25876 l 8.95744 52.44487 l 10.17189 54.631 l 11.32272 56.8171 l 12.41847 59.00322 l 12.43225 61.18935 l 13.4706 63.37546 l 14.46205 65.56158 l 15.40955 67.74768 l 15.42265 69.9338 l 16.32654 72.11992 l 17.19827 74.30603 l S Q Q q q 1 0 0 1 161.605 9.783 cm 0 1 -1 0 0 0 cm q 0 G 0 g 1 0 0 1 -550.203 -497.27 cm BT /F147 8.9664 Tf 550.203 497.27 Td [ (\045) -250 (of) -250 (no) -7 (des) -250 (visite) -7 (d) ] TJ ET 1 0 0 1 550.203 497.27 cm Q 1 0 0 1 -161.605 -9.783 cm Q Q Q n Q 1 0 0 1 -34.793 -5.8 cm Q 1 0 0 1 0.199 5.8 cm Q q Q q Q q Q q Q q 1 0 0 1 0 0 cm q Q Q q Q q Q q Q q Q q 1 0 0 1 -33.383 -28.629 cm 1 0 0 1 0 0 cm q 1 0 0 1 67.977 -134.212 cm q 0 G 0 g 0.3985 w q Q q q q q 0.3985 w 0.75 g 0.75 G -34.59467 166.38612 m 133.5743 166.38612 l -34.59467 169.92943 m 133.5743 169.92943 l -34.59467 173.47273 m 133.5743 173.47273 l -34.59467 177.01604 m 133.5743 177.01604 l -34.59467 180.55934 m 133.5743 180.55934 l -34.59467 187.64609 m 133.5743 187.64609 l -34.59467 191.18939 m 133.5743 191.18939 l -34.59467 194.7327 m 133.5743 194.7327 l -34.59467 198.276 m 133.5743 198.276 l -34.59467 201.81932 m 133.5743 201.81932 l -34.59467 208.90605 m 133.5743 208.90605 l -34.59467 212.44936 m 133.5743 212.44936 l -34.59467 215.99266 m 133.5743 215.99266 l -34.59467 219.53598 m 133.5743 219.53598 l -34.59467 223.07928 m 133.5743 223.07928 l -34.59467 230.16602 m 133.5743 230.16602 l -34.59467 233.70932 m 133.5743 233.70932 l -34.59467 237.25264 m 133.5743 237.25264 l -34.59467 240.79594 m 133.5743 240.79594 l -34.59467 244.33925 m 133.5743 244.33925 l S 0 g 0 G Q q 0.3985 w 0.75 g 0.75 G -34.59467 162.8428 m 133.5743 162.8428 l -34.59467 184.10278 m 133.5743 184.10278 l -34.59467 205.36275 m 133.5743 205.36275 l -34.59467 226.62271 m 133.5743 226.62271 l -34.59467 247.88268 m 133.5743 247.88268 l S 0 g 0 G Q Q q q 0.19925 w 0.5 g 0.5 G -34.59268 162.8428 m -34.59268 165.67818 l -25.87761 162.8428 m -25.87761 165.67818 l -19.69444 162.8428 m -19.69444 165.67818 l -14.89824 162.8428 m -14.89824 165.67818 l -10.97935 162.8428 m -10.97935 165.67818 l -7.66623 162.8428 m -7.66623 165.67818 l -4.79619 162.8428 m -4.79619 165.67818 l -2.2646 162.8428 m -2.2646 165.67818 l 0 162.8428 m 0 165.67818 l 14.89824 162.8428 m 14.89824 165.67818 l 23.61331 162.8428 m 23.61331 165.67818 l 29.7965 162.8428 m 29.7965 165.67818 l 34.59268 162.8428 m 34.59268 165.67818 l 38.51158 162.8428 m 38.51158 165.67818 l 41.8247 162.8428 m 41.8247 165.67818 l 44.69475 162.8428 m 44.69475 165.67818 l 47.22633 162.8428 m 47.22633 165.67818 l 49.49095 162.8428 m 49.49095 165.67818 l 64.3892 162.8428 m 64.3892 165.67818 l 73.10428 162.8428 m 73.10428 165.67818 l 79.28746 162.8428 m 79.28746 165.67818 l 84.08365 162.8428 m 84.08365 165.67818 l 88.00255 162.8428 m 88.00255 165.67818 l 91.31566 162.8428 m 91.31566 165.67818 l 94.1857 162.8428 m 94.1857 165.67818 l 96.71729 162.8428 m 96.71729 165.67818 l 98.98192 162.8428 m 98.98192 165.67818 l 113.88016 162.8428 m 113.88016 165.67818 l 122.59523 162.8428 m 122.59523 165.67818 l 128.77841 162.8428 m 128.77841 165.67818 l 133.5746 162.8428 m 133.5746 165.67818 l -34.59268 247.88268 m -34.59268 245.04732 l -25.87761 247.88268 m -25.87761 245.04732 l -19.69444 247.88268 m -19.69444 245.04732 l -14.89824 247.88268 m -14.89824 245.04732 l -10.97935 247.88268 m -10.97935 245.04732 l -7.66623 247.88268 m -7.66623 245.04732 l -4.79619 247.88268 m -4.79619 245.04732 l -2.2646 247.88268 m -2.2646 245.04732 l 0 247.88268 m 0 245.04732 l 14.89824 247.88268 m 14.89824 245.04732 l 23.61331 247.88268 m 23.61331 245.04732 l 29.7965 247.88268 m 29.7965 245.04732 l 34.59268 247.88268 m 34.59268 245.04732 l 38.51158 247.88268 m 38.51158 245.04732 l 41.8247 247.88268 m 41.8247 245.04732 l 44.69475 247.88268 m 44.69475 245.04732 l 47.22633 247.88268 m 47.22633 245.04732 l 49.49095 247.88268 m 49.49095 245.04732 l 64.3892 247.88268 m 64.3892 245.04732 l 73.10428 247.88268 m 73.10428 245.04732 l 79.28746 247.88268 m 79.28746 245.04732 l 84.08365 247.88268 m 84.08365 245.04732 l 88.00255 247.88268 m 88.00255 245.04732 l 91.31566 247.88268 m 91.31566 245.04732 l 94.1857 247.88268 m 94.1857 245.04732 l 96.71729 247.88268 m 96.71729 245.04732 l 98.98192 247.88268 m 98.98192 245.04732 l 113.88016 247.88268 m 113.88016 245.04732 l 122.59523 247.88268 m 122.59523 245.04732 l 128.77841 247.88268 m 128.77841 245.04732 l 133.5746 247.88268 m 133.5746 245.04732 l S 0 g 0 G Q q 0.19925 w 0.5 g 0.5 G 0 162.8428 m 0 167.09543 l 49.49095 162.8428 m 49.49095 167.09543 l 98.98192 162.8428 m 98.98192 167.09543 l 0 247.88268 m 0 243.63008 l 49.49095 247.88268 m 49.49095 243.63008 l 98.98192 247.88268 m 98.98192 243.63008 l S 0 g 0 G Q Q q q 0.19925 w 0.5 g 0.5 G -34.59467 166.38612 m -31.7633 166.38612 l -34.59467 169.92943 m -31.7633 169.92943 l -34.59467 173.47273 m -31.7633 173.47273 l -34.59467 177.01604 m -31.7633 177.01604 l -34.59467 180.55934 m -31.7633 180.55934 l -34.59467 187.64609 m -31.7633 187.64609 l -34.59467 191.18939 m -31.7633 191.18939 l -34.59467 194.7327 m -31.7633 194.7327 l -34.59467 198.276 m -31.7633 198.276 l -34.59467 201.81932 m -31.7633 201.81932 l -34.59467 208.90605 m -31.7633 208.90605 l -34.59467 212.44936 m -31.7633 212.44936 l -34.59467 215.99266 m -31.7633 215.99266 l -34.59467 219.53598 m -31.7633 219.53598 l -34.59467 223.07928 m -31.7633 223.07928 l -34.59467 230.16602 m -31.7633 230.16602 l -34.59467 233.70932 m -31.7633 233.70932 l -34.59467 237.25264 m -31.7633 237.25264 l -34.59467 240.79594 m -31.7633 240.79594 l -34.59467 244.33925 m -31.7633 244.33925 l 133.5743 166.38612 m 130.74294 166.38612 l 133.5743 169.92943 m 130.74294 169.92943 l 133.5743 173.47273 m 130.74294 173.47273 l 133.5743 177.01604 m 130.74294 177.01604 l 133.5743 180.55934 m 130.74294 180.55934 l 133.5743 187.64609 m 130.74294 187.64609 l 133.5743 191.18939 m 130.74294 191.18939 l 133.5743 194.7327 m 130.74294 194.7327 l 133.5743 198.276 m 130.74294 198.276 l 133.5743 201.81932 m 130.74294 201.81932 l 133.5743 208.90605 m 130.74294 208.90605 l 133.5743 212.44936 m 130.74294 212.44936 l 133.5743 215.99266 m 130.74294 215.99266 l 133.5743 219.53598 m 130.74294 219.53598 l 133.5743 223.07928 m 130.74294 223.07928 l 133.5743 230.16602 m 130.74294 230.16602 l 133.5743 233.70932 m 130.74294 233.70932 l 133.5743 237.25264 m 130.74294 237.25264 l 133.5743 240.79594 m 130.74294 240.79594 l 133.5743 244.33925 m 130.74294 244.33925 l S 0 g 0 G Q q 0.19925 w 0.5 g 0.5 G -34.59467 162.8428 m -30.34813 162.8428 l -34.59467 184.10278 m -30.34813 184.10278 l -34.59467 205.36275 m -30.34813 205.36275 l -34.59467 226.62271 m -30.34813 226.62271 l -34.59467 247.88268 m -30.34813 247.88268 l 133.5743 162.8428 m 129.32777 162.8428 l 133.5743 184.10278 m 129.32777 184.10278 l 133.5743 205.36275 m 129.32777 205.36275 l 133.5743 226.62271 m 129.32777 226.62271 l 133.5743 247.88268 m 129.32777 247.88268 l S 0 g 0 G Q Q -34.59467 162.8428 m -34.59467 247.88268 l 133.5743 247.88268 l 133.5743 162.8428 l -34.59467 162.8428 l h S q q 1 0 0 1 -6.109 151.922 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -382.489 -476.568 cm BT /F186 8.9664 Tf 382.489 476.568 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (0) ] TJ ET 1 0 0 1 382.489 476.568 cm Q 1 0 0 1 6.109 -151.922 cm Q Q q q 1 0 0 1 43.381 151.922 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -431.979 -476.568 cm BT /F186 8.9664 Tf 431.979 476.568 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (1) ] TJ ET 1 0 0 1 431.979 476.568 cm Q 1 0 0 1 -43.381 -151.922 cm Q Q q q 1 0 0 1 92.872 151.922 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -481.47 -476.568 cm BT /F186 8.9664 Tf 481.47 476.568 Td [ (10) ] TJ /F186 7.2727 Tf 8.338 3.255 Td [ (2) ] TJ ET 1 0 0 1 481.47 476.568 cm Q 1 0 0 1 -92.872 -151.922 cm Q Q q q 1 0 0 1 -52.827 160.133 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -335.771 -484.779 cm BT /F186 8.9664 Tf 335.771 484.779 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (21) ] TJ ET 1 0 0 1 335.771 484.779 cm Q 1 0 0 1 52.827 -160.133 cm Q Q q q 1 0 0 1 -52.827 181.393 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -335.771 -506.039 cm BT /F186 8.9664 Tf 335.771 506.039 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (22) ] TJ ET 1 0 0 1 335.771 506.039 cm Q 1 0 0 1 52.827 -181.393 cm Q Q q q 1 0 0 1 -52.827 202.652 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -335.771 -527.298 cm BT /F186 8.9664 Tf 335.771 527.298 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (23) ] TJ ET 1 0 0 1 335.771 527.298 cm Q 1 0 0 1 52.827 -202.652 cm Q Q q q 1 0 0 1 -52.827 223.912 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -335.771 -548.558 cm BT /F186 8.9664 Tf 335.771 548.558 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (24) ] TJ ET 1 0 0 1 335.771 548.558 cm Q 1 0 0 1 52.827 -223.912 cm Q Q q q 1 0 0 1 -52.827 245.172 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -335.771 -569.818 cm BT /F186 8.9664 Tf 335.771 569.818 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (25) ] TJ ET 1 0 0 1 335.771 569.818 cm Q 1 0 0 1 52.827 -245.172 cm Q Q -34.59467 162.8428 m 133.5743 162.8428 l 133.5743 247.88268 l -34.59467 247.88268 l h W n q 1.59404 w 0 0 0.74902 RG 0 0 0.74902 rg -152.97586 0 m -149.08386 54.9251 l -145.8465 92.49785 l -142.93349 117.92899 l -140.44324 134.64786 l -138.18484 146.54492 l -136.17802 157.91263 l -134.38763 166.1955 l -122.25317 176.44283 l -50.75198 182.97812 l -36.35323 194.91348 l -36.20761 214.80643 l -27.73161 225.2387 l -21.72095 229.4014 l -17.04872 231.35092 l -13.21118 234.49739 l -13.16034 235.06078 l -9.91248 235.26276 l -7.09229 234.63135 l -4.59744 234.85881 l -4.56432 234.61859 l -2.34462 235.4137 l -0.32303 235.73473 l 1.52142 236.66591 l 3.22194 237.53545 l 3.24556 238.40071 l 4.8162 239.01727 l 6.27827 238.61972 l 7.6518 238.48154 l 7.66983 238.2583 l 8.95744 237.96278 l 10.17189 238.23277 l 11.32272 238.40286 l 12.41847 238.70688 l 12.43225 239.00027 l 13.4706 238.3221 l 14.46205 238.46878 l 15.40955 238.68987 l 15.42265 239.49776 l 16.32654 239.81027 l 17.19827 240.23334 l S Q q 0.74902 0 0 rg 0.74902 0 0 RG 118.74721 219.39433 m S 0 g 0 G Q q 0.74902 0 0.47452 rg 0.74902 0 0.47452 RG -14.47319 232.78809 m S 0 g 0 G Q q 0 0.42744 0.74902 rg 0 0.42744 0.74902 RG 83.99313 170.07118 m S 0 g 0 G Q q 0.74902 0.4157 0 rg 0.74902 0.4157 0 RG 98.86319 223.64633 m S 0 g 0 G Q q 0.29099 0.52432 0 rg 0.29099 0.52432 0 RG 65.1901 215.35493 m S 0 g 0 G Q q 0.55293 0 0.74902 rg 0.55293 0 0.74902 RG 78.50133 176.44917 m S 0 g 0 G Q q 0.79701 w [ 0.79701 1.99255 ] 0 d 0 G 0 g -10.61859 162.8428 m -10.61859 247.88268 l S Q Q q 0.74902 0 0 rg 0.74902 0 0 RG 0.74902 0 0 rg 0.74902 0 0 RG 120.73976 219.39433 m 120.73976 220.49481 119.84767 221.38689 118.74721 221.38689 c 117.64673 221.38689 116.75465 220.49481 116.75465 219.39433 c 116.75465 218.29387 117.64673 217.40178 118.74721 217.40178 c 119.84767 217.40178 120.73976 218.29387 120.73976 219.39433 c h 118.74721 219.39433 m B S q q 1 0 0 1 110.506 210.322 cm 1 0 0 1 0 0 cm q 0.74902 0 0 RG 0.74902 0 0 rg 1 0 0 1 -499.104 -534.968 cm BT /F147 8.9664 Tf 499.104 534.968 Td [ (SVD) ] TJ ET 1 0 0 1 499.104 534.968 cm Q 1 0 0 1 -110.506 -210.322 cm Q Q S 0.74902 0 0 rg 0.74902 0 0 RG 0 g 0 G Q q 0.74902 0 0.47452 rg 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 0.74902 0 0.47452 RG -16.46574 230.79553 3.9851 3.9851 re B S q q 1 0 0 1 -15.716 223.715 cm 1 0 0 1 0 0 cm q 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 1 0 0 1 -372.882 -548.361 cm BT /F147 8.9664 Tf 372.882 548.361 Td [ (Pr) 8 (oNE) ] TJ ET 1 0 0 1 372.882 548.361 cm Q 1 0 0 1 15.716 -223.715 cm Q Q S 0.74902 0 0.47452 rg 0.74902 0 0.47452 RG 0 g 0 G Q q 0 0.42744 0.74902 rg 0 0.42744 0.74902 RG 0 0.42744 0.74902 rg 0 0.42744 0.74902 RG 82.00058 168.07863 3.9851 3.9851 re B S q q 1 0 0 1 81.657 175.373 cm 1 0 0 1 0 0 cm q 0 0.42744 0.74902 RG 0 0.42744 0.74902 rg 1 0 0 1 -470.255 -500.019 cm BT /F147 8.9664 Tf 470.255 500.019 Td [ (De) -7 (ep) 54 (W) 60 (alk) ] TJ ET 1 0 0 1 470.255 500.019 cm Q 1 0 0 1 -81.657 -175.373 cm Q Q S 0 0.42744 0.74902 rg 0 0.42744 0.74902 RG 0 g 0 G Q q 0.74902 0.4157 0 rg 0.74902 0.4157 0 RG 0.74902 0.4157 0 rg 0.74902 0.4157 0 RG 100.85574 223.64633 m 100.85574 224.7468 99.96365 225.63889 98.86319 225.63889 c 97.76271 225.63889 96.87064 224.7468 96.87064 223.64633 c 96.87064 222.54585 97.76271 221.65378 98.86319 221.65378 c 99.96365 221.65378 100.85574 222.54585 100.85574 223.64633 c h 98.86319 223.64633 m 96.87064 223.64633 m 100.85574 223.64633 l 98.86319 225.63889 m 98.86319 221.65378 l B S q q 1 0 0 1 93.025 226.934 cm 1 0 0 1 0 0 cm q 0.74902 0.4157 0 RG 0.74902 0.4157 0 rg 1 0 0 1 -481.623 -551.58 cm BT /F147 8.9664 Tf 481.623 551.58 Td [ (NetSMF) ] TJ ET 1 0 0 1 481.623 551.58 cm Q 1 0 0 1 -93.025 -226.934 cm Q Q S 0.74902 0.4157 0 rg 0.74902 0.4157 0 RG 0 g 0 G Q q 0.29099 0.52432 0 rg 0.29099 0.52432 0 RG 0.29099 0.52432 0 rg 0.29099 0.52432 0 RG 65.1901 217.34749 m 66.9157 214.35866 l 63.46448 214.35866 l h B S q q 1 0 0 1 68.377 206.562 cm 1 0 0 1 0 0 cm q 0.29099 0.52432 0 RG 0.29099 0.52432 0 rg 1 0 0 1 -456.975 -531.208 cm BT /F147 8.9664 Tf 456.975 531.208 Td [ (STRAP) ] TJ ET 1 0 0 1 456.975 531.208 cm Q 1 0 0 1 -68.377 -206.562 cm Q Q S 0.29099 0.52432 0 rg 0.29099 0.52432 0 RG 0 g 0 G Q q 0.55293 0 0.74902 rg 0.55293 0 0.74902 RG 0.55293 0 0.74902 rg 0.55293 0 0.74902 RG 78.50133 178.44173 m 79.99574 176.44917 l 78.50133 174.45662 l 77.00691 176.44917 l h B S q q 1 0 0 1 55.073 179.738 cm 1 0 0 1 0 0 cm q 0.55293 0 0.74902 RG 0.55293 0 0.74902 rg 1 0 0 1 -443.671 -504.384 cm BT /F147 8.9664 Tf 443.671 504.384 Td [ (VERSE) ] TJ ET 1 0 0 1 443.671 504.384 cm Q 1 0 0 1 -55.073 -179.738 cm Q Q S 0.55293 0 0.74902 rg 0.55293 0 0.74902 RG 0 g 0 G Q q q 1 0 0 1 5.783 139.317 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -394.381 -463.963 cm BT /F147 8.9664 Tf 394.381 463.963 Td [ (Time) -250 (\050) 12 (se) -7 (conds\054) -250 (log) -250 (axis\051) ] TJ ET 1 0 0 1 394.381 463.963 cm Q 1 0 0 1 -5.783 -139.317 cm Q Q q q 1 0 0 1 -59.107 188.799 cm 0 1 -1 0 0 0 cm q 0 G 0 g 1 0 0 1 -329.491 -513.445 cm BT /F147 8.9664 Tf 329.491 513.445 Td [ (Micr) 8 (o\055F1) ] TJ ET 1 0 0 1 329.491 513.445 cm Q 1 0 0 1 59.107 -188.799 cm Q Q q 1 g 0 G q 1 g 0 G -13.55983 250.2074 126.09927 15.19714 re B Q q 1 0 0 1 -10.571 257.803 cm 1 0 0 1 0 0 cm q 1 0 0 1 0.797 0 cm q 0 g q 1.59404 w 0 0 0.74902 RG 0 0 m 8.50412 0 l 17.00826 0 l S Q Q 1 0 0 1 38.121 0 cm q q q 1 0 0 1 -18.323 -2.269 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -398.622 -580.18 cm BT /F147 8.9664 Tf 398.622 580.18 Td [ (FREDE) -250 (F1) ] TJ ET 1 0 0 1 398.622 580.18 cm Q 1 0 0 1 18.323 2.269 cm Q Q Q 1 0 0 1 20.913 0 cm q 0 g q 1.19553 w [ 2.98883 2.98883 ] 0 d 0 0 0.74902 RG 0 0 0.74902 rg 0 0 m 8.50412 0 l 17.00826 0 l S Q Q 1 0 0 1 38.948 0 cm q q q 1 0 0 1 -19.35 -2.269 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -457.456 -580.18 cm BT /F147 8.9664 Tf 457.456 580.18 Td [ (FREDE) -250 (\045n) ] TJ ET 1 0 0 1 457.456 580.18 cm Q 1 0 0 1 19.35 2.269 cm Q Q Q 1 0 0 1 -98.779 0 cm Q 1 0 0 1 10.571 -257.803 cm Q Q Q n Q 1 0 0 1 -67.977 134.212 cm Q 1 0 0 1 33.383 28.629 cm Q q Q q Q Q n Q 0 g 0 G 1 0 0 1 -354.004 -487.487 cm BT /F151 8.9664 Tf 317.955 450.57 Td [ (Figur) 8 (e) -428 (1\072) ] TJ /F199 8.9664 Tf 40.544 0 Td [ (FREDE) ] TJ /F151 8.9664 Tf 32.646 0 Td [ (scalably) -428 (pr) 8 (o) -7 (duces) -428 (an) -428 (emb) -10 (e) -7 (dding) ] TJ /F200 8.9664 Tf 139.807 0 Td [ (at) -428 (any) ] TJ -212.997 -10.958 Td [ (time) ] TJ /F151 8.9664 Tf 18.372 0 Td [ (\073) -243 (at) -242 (the) -243 (dotte) -7 (d) -242 (black) -243 (line) 10 (\054) -242 (it) -243 (outp) -7 (erforms) -243 (all) -242 (contenders\054) ] TJ -18.372 -10.959 Td [ (including) -206 (the) -206 (SVD) -206 (of) -206 (a) -206 (PPR\055like) -206 (similarity) -206 (matrix\054) -206 (after) -206 (pr) 8 (o\055) ] TJ 0 -10.959 Td [ (cessing) -250 (ab) -10 (out) -250 (20\045) -250 (of) -250 (matrix) -250 (r) 8 (o) 7 (ws\056) -250 (\050) ] TJ /F199 8.9664 Tf 141.104 0 Td [ (PPI) ] TJ /F151 8.9664 Tf 16.543 0 Td [ (data\051) ] TJ 0 g 0 G 0 g 0 G /F147 8.9664 Tf 1.015 0 0 1 317.955 402.461 Tm [ (achie) 7 (v) 8 (e) -246 (scalability) -246 (via) -246 (sampling) -246 (a) -246 (no) -7 (de) -246 (similarity) -246 (matrix\054) -246 (such) -246 (as) ] TJ 1 0 0 1 317.955 391.502 Tm [ (Personalize) -7 (d) -252 (PageRank) -251 (\050PPR\051\073) -252 (ho) 7 (w) 8 (e) 7 (v) 8 (er) 59 (\054) -252 (such) -252 (neural) -251 (metho) -7 (ds) -252 (lack) ] TJ 0.98 0 0 1 317.955 380.543 Tm [ (the) -7 (or) 8 (etically) -237 (gr) 9 (ounde) -8 (d) -236 (err) 8 (or) -237 (guarante) -7 (es) -237 (with) -236 (r) 8 (esp) -7 (e) -7 (ct) -237 (to) -237 (their) -236 (obje) -7 (c\055) ] TJ 0.98 0 0 1 317.955 369.584 Tm [ (tiv) 8 (es\056) -186 (The) -185 (the) -7 (or) 8 (etically) -186 (most) -185 (w) 8 (ell\055gr) 8 (ounde) -7 (d) -186 (state\055of\055the\055art) -185 (metho) -7 (d\054) ] TJ /F164 8.9664 Tf 1.015 0 0 1 317.955 358.625 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 1.015 0 0 1 347.761 358.625 Tm [ (\133) ] TJ 1 0 0 1 351.001 358.625 Tm [ (28) ] TJ 1.015 0 0 1 359.339 358.625 Tm [ (\135\054) -246 (p) -7 (erforms) -246 (Singular) -246 (V) 59 (alue) -246 (De) -7 (comp) -7 (osition) -246 (\050SVD) 10 (\051) -246 (on) -246 (a) ] TJ 0.98 0 0 1 317.955 347.666 Tm [ (dense) -230 (matrix) -231 (of) -230 (nonlinear) -231 (no) -7 (de) -230 (similarities\054) -231 (and) -230 (achie) 7 (v) 8 (es) -230 (the) -231 (global) ] TJ 1 0 0 1 317.955 336.707 Tm [ (optimum) -250 (of) -250 (its) -250 (obje) -7 (ctiv) 8 (e) -250 (by) -250 (virtue) -250 (of) -250 (the) -250 (pr) 8 (op) -7 (erties) -250 (of) -250 (SVD\056) ] TJ 1.018 0 0 1 327.918 325.748 Tm [ (Ho) 7 (w) 8 (e) 7 (v) 8 (er) 57 (\054) -244 (this) ] TJ /F156 8.9664 Tf 1.018 0 0 1 381.587 325.748 Tm [ (optimality) ] TJ /F147 8.9664 Tf 1.018 0 0 1 422.021 325.748 Tm [ (comes) -244 (to) -244 (the) -244 (detriment) -244 (of) ] TJ /F156 8.9664 Tf 1.018 0 0 1 519.884 325.748 Tm [ (scalability) ] TJ /F147 8.9664 Tf 1.018 0 0 1 557.18 325.748 Tm [ (\054) ] TJ 0.98 0 0 1 317.955 314.79 Tm [ (as) ] TJ /F164 8.9664 Tf 0.98 0 0 1 327.464 314.79 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 0.98 0 0 1 356.147 314.79 Tm [ (ne) -7 (e) -7 (ds) -235 (to) -236 (pr) 9 (e) -8 (compute) -235 (the) -235 (similarity) -235 (matrix) -235 (and) -235 (stor) 8 (e) -235 (it) -236 (in) ] TJ 0.98 0 0 1 317.955 303.831 Tm [ (memor) -15 (y) -240 (at) -240 (cost) -239 (quadratic) -240 (in) -240 (the) -239 (numb) -10 (er) -240 (of) -240 (no) -7 (des\056) -240 (An) -239 (ideal) -240 (metho) -7 (d) ] TJ 1 0 0 1 317.955 292.872 Tm [ (should) -250 (achie) 7 (v) 8 (e) -250 (b) -10 (oth) -250 (quality) -250 (and) -250 (scalability) 59 (\056) ] TJ 1.02 0 0 1 327.918 281.913 Tm [ (In) -284 (this) -284 (pap) -6 (er) 57 (\054) -283 (w) 7 (e) -283 (pr) 8 (op) -7 (ose) ] TJ /F164 8.9664 Tf 1.02 0 0 1 425.742 281.913 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 452.145 281.913 Tm [ (\054) -284 (the) -284 (\033rst\054) -283 (to) -284 (our) -284 (kno) 7 (wle) -7 (dge) 10 (\054) ] TJ 0.98 0 0 1 317.955 270.954 Tm [ (linear\055space) -196 (algorithm) -196 (that) -195 (pr) 8 (o) -7 (duces) -196 (emb) -10 (e) -8 (ddings) -195 (with) ] TJ /F156 8.9664 Tf 0.98 0 0 1 513.232 270.954 Tm [ (quality) -196 (guar\055) ] TJ 1.009 0 0 1 317.955 259.995 Tm [ (ante) -7 (es) ] TJ /F147 8.9664 Tf 1.009 0 0 1 342.772 259.995 Tm [ (fr) 8 (om) -247 (a) -247 (nonlinear) -247 (transform\056) -246 (W) 79 (e) -247 (obser) -15 (v) 8 (e) -247 (that) -247 (factorization\055) ] TJ 1.011 0 0 1 317.955 249.036 Tm [ (base) -7 (d) -247 (emb) -10 (e) -7 (ddings) -246 (e\035e) -7 (ctiv) 8 (ely) -247 (striv) 8 (e) -247 (to) -247 (pr) 8 (eser) -15 (v) 8 (e) -247 (the) -247 (co) 7 (variance) -247 (of) ] TJ 1.001 0 0 1 317.955 238.077 Tm [ (a) -251 (similarity) -250 (matrix\054) -251 (and) -251 (that) -250 (a) -251 (fe) 7 (w) -251 (no) -7 (des) -250 (acting) -251 (as) -251 (oracles) -250 (appr) 8 (o) 7 (x\055) ] TJ 1.018 0 0 1 317.955 227.118 Tm [ (imate) -244 (the) -245 (distances) -244 (among) -245 (all) -244 (no) -7 (des) -244 (with) -245 (guarante) -7 (es) -244 (\133) ] TJ 1 0 0 1 520.156 227.118 Tm [ (35) ] TJ 1.018 0 0 1 528.495 227.118 Tm [ (\135\056) -244 (Giv) 7 (en) ] TJ 0.98 0 0 1 317.955 216.159 Tm [ (these) -185 (obser) -15 (vations\054) -186 (w) 8 (e) -185 (adapt) -185 (a) -185 (co) 7 (variance\055pr) 8 (eser) -15 (ving) -185 (matrix) -185 (sketch\055) ] TJ 0.98 0 0 1 317.955 205.2 Tm [ (ing) -254 (algorithm\054) ] TJ /F156 8.9664 Tf 0.98 0 0 1 371.142 205.2 Tm [ (Fr) 8 (e) -7 (quent) -254 (Dir) 8 (e) -7 (ctions) ] TJ /F147 8.9664 Tf 0.98 0 0 1 441.208 205.2 Tm [ (\050FD) 10 (\051) -254 (\133) ] TJ 1 0 0 1 462.136 205.2 Tm [ (11) ] TJ 0.98 0 0 1 470.475 205.2 Tm [ (\054) ] TJ 1 0 0 1 474.64 205.2 Tm [ (18) ] TJ 0.98 0 0 1 482.978 205.2 Tm [ (\135\054) -254 (to) -254 (pr) 8 (o) -7 (duce) -254 (a) -254 (graph) ] TJ 0.982 0 0 1 317.955 194.242 Tm [ (emb) -10 (e) -7 (dding) -255 (by) -255 (factorizing\054) -254 (on) -255 (a) -255 (p) -7 (er\055r) 8 (o) 7 (w) -254 (basis\054) -255 (a) -255 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(e) -7 (ddings) -254 (can) ] TJ 0.98 0 0 1 317.955 150.406 Tm [ (b) -10 (e) -255 (compute) -7 (d) -255 (indep) -8 (endently) -255 (on) -255 (di\035er) 9 (ent) -255 (no) -8 (de) -255 (sets) -255 (and) -255 (merge) -7 (d) -255 (to) -255 (a) ] TJ 0.998 0 0 1 317.955 139.447 Tm [ (single) -251 (emb) -10 (e) -7 (dding\054) -251 (with) -252 (quality) -251 (guarante) -7 (es) -251 (that) -251 (hold) ] TJ /F156 8.9664 Tf 0.998 0 0 1 510.754 139.447 Tm [ (anytime) ] TJ /F147 8.9664 Tf 0.998 0 0 1 542.509 139.447 Tm [ (\133) ] TJ 1 0 0 1 545.695 139.447 Tm [ (48) ] TJ 0.998 0 0 1 554.034 139.447 Tm [ (\135\054) ] TJ 1.02 0 0 1 317.955 128.488 Tm [ (e) 7 (v) 8 (en) -289 (after) -288 (accessing) -289 (a) -288 (subset) -289 (of) -288 (similarity) -289 (matrix) -289 (r) 8 (o) 7 (ws\056) -289 (Figur) 8 (e) -288 (1) ] TJ 0.995 0 0 1 317.955 117.529 Tm [ (sho) 7 (ws) -250 (that) ] TJ /F164 8.9664 Tf 0.995 0 0 1 359.787 117.529 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.995 0 0 1 387.774 117.529 Tm [ (outp) -7 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127.857 486.485 Tm [ (A) ] TJ /F271 7.2727 Tf 1 0 0 1 134.079 485.14 Tm [ (i) -118 (j) ] TJ /F264 8.9664 Tf 8.829 1.345 Td [ (\075) ] TJ /F186 8.9664 Tf 1.016 0 0 1 151.101 486.485 Tm [ (1) ] TJ /F147 8.9664 Tf 1.016 0 0 1 157.575 486.485 Tm [ (if) ] TJ /F265 8.9664 Tf 1 0 0 1 165.107 486.485 Tm [ () ] TJ /F194 8.9664 Tf 2.627 0 Td [ (i) ] TJ /F196 8.9664 Tf 2.995 0 Td [ (\073) ] TJ /F194 8.9664 Tf 3.825 0 Td [ (j) ] TJ /F265 8.9664 Tf 2.905 0 Td [ () -298 (2) ] TJ /F194 8.9664 Tf 13.043 0 Td [ (E) ] TJ /F147 8.9664 Tf 1.016 0 0 1 197.95 486.485 Tm [ (is) -246 (an) -245 (e) -7 (dge) -246 (b) -10 (etw) 8 (e) -7 (en) -246 (no) -7 (de) ] TJ /F194 8.9664 Tf 1 0 0 1 290.96 486.485 Tm [ (i) ] TJ /F147 8.9664 Tf 1.02 0 0 1 53.798 475.526 Tm [ (and) -258 (no) -7 (de) ] TJ /F194 8.9664 Tf 1 0 0 1 90.724 475.526 Tm [ (j) ] TJ /F147 8.9664 Tf 1.02 0 0 1 93.629 475.526 Tm [ (\054) -258 (other) -15 (wise) ] TJ /F186 8.9664 Tf 1.02 0 0 1 137.377 475.526 Tm [ (A) ] TJ /F271 7.2727 Tf 1 0 0 1 143.624 474.181 Tm [ (i) -118 (j) ] TJ /F264 8.9664 Tf 9.099 1.345 Td [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 161.187 475.526 Tm [ (0) ] TJ /F147 8.9664 Tf 1.02 0 0 1 165.44 475.526 Tm [ (\056) ] TJ /F186 8.9664 Tf 1.02 0 0 1 169.816 475.526 Tm [ (D) ] TJ /F147 8.9664 Tf 1.02 0 0 1 178.59 475.526 Tm [ (is) -258 (the) -259 (diagonal) -258 (matrix) -259 (with) -258 (the) ] TJ 0.98 0 0 1 53.798 464.567 Tm [ (degr) 8 (e) -7 (e) -215 (of) -214 (no) -7 (de) ] TJ /F194 8.9664 Tf 1 0 0 1 107.759 464.567 Tm [ (i) ] TJ /F147 8.9664 Tf 0.98 0 0 1 112.729 464.567 Tm [ (as) -215 (ent) 1 (r) -16 (y) ] TJ /F186 8.9664 Tf 0.98 0 0 1 143.337 464.567 Tm [ (D) ] TJ /F271 7.2727 Tf 1 0 0 1 149.388 463.222 Tm [ (i) -78 (i) ] TJ /F264 8.9664 Tf 8.698 1.345 Td [ (\075) ] TJ /F278 8.9664 Tf 8.193 6.276 Td [ () ] TJ /F271 7.2727 Tf 7.136 -2.807 Td [ (n) ] TJ 0.364 -6.568 Td [ (j) ] TJ /F264 7.2727 Tf 2.749 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F186 8.9664 Tf 0.98 0 0 1 186.527 464.567 Tm [ (A) ] TJ /F271 7.2727 Tf 1 0 0 1 192.525 463.222 Tm [ (i) -118 (j) ] TJ /F147 8.9664 Tf 0.98 0 0 1 198.863 464.567 Tm [ (\056) -215 (The) ] TJ /F156 8.9664 Tf 0.98 0 0 1 218.47 464.567 Tm [ (normalize) -7 (d) -215 (adjacency) ] TJ 0.98 0 0 1 53.798 451.311 Tm [ (matrix) ] TJ /F147 8.9664 Tf 0.98 0 0 1 77.383 451.311 Tm [ (\054) ] TJ /F186 8.9664 Tf 0.98 0 0 1 81.173 451.311 Tm [ (P) ] TJ /F264 8.9664 Tf 1 0 0 1 88.418 451.311 Tm [ (\075) ] TJ /F186 8.9664 Tf 0.98 0 0 1 96.611 451.311 Tm [ (D) ] TJ /F265 7.2727 Tf 1 0 0 1 102.771 454.566 Tm [ <00> ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F186 8.9664 Tf 0.98 0 0 1 111.276 451.311 Tm [ (A) ] TJ /F147 8.9664 Tf 0.98 0 0 1 117.383 451.311 Tm [ (\054) -211 (r) 8 (epr) 8 (esents) -211 (the) -212 (transition) -211 (pr) 8 (obability) -211 (fr) 8 (om) -211 (a) -212 (no) -7 (de) ] TJ 1.02 0 0 1 53.798 440.352 Tm [ (to) -295 (any) -295 (of) -295 (its) -295 (neighb) -10 (ors\056) -296 (W) 79 (e) -295 (r) 8 (epr) 7 (esent) -295 (interactions) -295 (among) -295 (no) -7 (des) ] TJ 1.02 0 0 1 53.467 429.393 Tm [ (with) -280 (a) ] TJ /F156 8.9664 Tf 1.02 0 0 1 79.892 429.393 Tm [ (similarity) -280 (matrix) ] TJ /F186 8.9664 Tf 1.02 0 0 1 145.62 429.393 Tm [ (S) ] TJ /F265 8.9664 Tf 1 0 0 1 153.44 429.393 Tm [ (2) ] TJ /F260 8.9664 Tf 8.189 0 Td [ (R) ] TJ /F271 7.2727 Tf 5.872 3.255 Td [ (n) ] TJ /F265 7.2727 Tf 4.574 0 Td [ <02> ] TJ /F271 7.2727 Tf 4.517 0 Td [ (n) ] TJ /F147 8.9664 Tf 1.02 0 0 1 184.227 429.393 Tm [ (\133) ] TJ 1 0 0 1 187.483 429.393 Tm [ (23) ] TJ 1.02 0 0 1 195.822 429.393 Tm [ (\054) ] TJ 1 0 0 1 200.397 429.393 Tm [ (36) ] TJ 1.02 0 0 1 208.735 429.393 Tm [ (\054) ] TJ 1 0 0 1 213.31 429.393 Tm [ (47) ] TJ 1.02 0 0 1 221.649 429.393 Tm [ (\135\056) -280 (The) -281 (r) 8 (o) 7 (w) ] TJ /F194 8.9664 Tf 1 0 0 1 263.426 429.393 Tm [ (i) ] TJ /F147 8.9664 Tf 1.02 0 0 1 269.073 429.393 Tm [ (of) ] TJ /F186 8.9664 Tf 1.02 0 0 1 279.08 429.393 Tm [ (A) ] TJ /F147 8.9664 Tf 1.02 0 0 1 288 429.393 Tm [ (is) ] TJ 0.98 0 0 1 53.798 418.434 Tm [ (denote) -7 (d) -249 (as) ] TJ /F186 8.9664 Tf 0.98 0 0 1 94.395 418.434 Tm [ (A) ] TJ /F271 7.2727 Tf 1 0 0 1 100.393 417.089 Tm [ (i) ] TJ /F147 8.9664 Tf 0.98 0 0 1 103.8 418.434 Tm [ (\056) -249 (The) -249 (emb) -10 (e) -7 (dding) -249 (pr) 8 (oblem) -249 (is) -249 (to) -249 (\033nd) -249 (an) ] TJ /F194 8.9664 Tf 1 0 0 1 242.119 418.434 Tm [ (n) ] TJ /F265 8.9664 Tf 5.268 0 Td [ <02> ] TJ /F194 8.9664 Tf 5.609 0 Td [ (d) ] TJ /F147 8.9664 Tf 0.98 0 0 1 260.241 418.434 Tm [ (matrix) ] TJ /F186 8.9664 Tf 0.98 0 0 1 286.119 418.434 Tm [ (W) ] TJ /F147 8.9664 Tf 1 0 0 1 53.798 407.475 Tm [ (that) -250 (r) 8 (etains) -250 (most) -250 (information) -250 (in) ] TJ /F186 8.9664 Tf 119.755 0 Td [ (S) ] TJ /F147 8.9664 Tf 4.349 0 Td [ (\056) ] TJ /F151 10.9091 Tf -124.104 -21.001 Td [ (2\0562) -1000 (Neural) -250 (emb) -10 (e) -7 (ddings) ] TJ /F147 8.9664 Tf 1.014 0 0 1 53.798 372.775 Tm [ (Initial) -247 (w) 7 (orks) -247 (on) -247 (graph) -248 (emb) -10 (e) -7 (ddings) -247 (r) 8 (elie) -7 (d) -247 (on) -248 (a) -247 (neural) -248 (netw) 8 (ork) -247 (to) ] TJ 0.981 0 0 1 53.798 361.816 Tm [ (pr) 8 (o) -7 (duce) -254 (v) 8 (e) -7 (ctor) -255 (r) 8 (epr) 8 (esentations) -254 (of) -254 (a) -255 (graph\047s) -254 (no) -7 (des\073) ] TJ /F164 8.9664 Tf 0.981 0 0 1 237.749 361.816 Tm [ (DeepW) 122 (alk) ] TJ /F147 8.9664 Tf 0.981 0 0 1 279.443 361.816 Tm [ (\133) ] TJ 1 0 0 1 282.575 361.816 Tm [ (25) ] TJ 0.981 0 0 1 290.913 361.816 Tm [ (\135) ] TJ 1.017 0 0 1 53.798 350.857 Tm [ (\033rst) -246 (transferr) 8 (e) -7 (d) -245 (such) -246 (metho) -6 (ds) -246 (fr) 8 (om) -246 (w) 8 (or) 8 (ds) -245 (\133) ] TJ 1 0 0 1 216.6 350.857 Tm [ (16) ] TJ 1.017 0 0 1 224.939 350.857 Tm [ (\054) ] TJ 1 0 0 1 229.184 350.857 Tm [ (20) ] TJ 1.017 0 0 1 237.523 350.857 Tm [ (\135) -246 (to) -245 (graphs\054) -246 (uti\055) ] TJ 1.02 0 0 1 53.798 339.898 Tm [ (lizing) -294 (a) -294 (corpus) -294 (of) -295 (random) -294 (walks\056) ] TJ /F164 8.9664 Tf 1.02 0 0 1 180.128 339.898 Tm [ (LINE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 201.851 339.898 Tm [ (\133) ] TJ 1 0 0 1 205.106 339.898 Tm [ (33) ] TJ 1.02 0 0 1 213.445 339.898 Tm [ (\135) -294 (e) 7 (xtende) -7 (d) -294 (De) -7 (ep) 53 (W) 59 (alk) ] TJ 1.014 0 0 1 53.798 328.939 Tm [ (by) -247 (e) 7 (xploiting) -246 (graph) -247 (e) -7 (dges) -247 (rather) -246 (than) -247 (walks\073) ] TJ /F164 8.9664 Tf 1.014 0 0 1 221.957 328.939 Tm [ (Node) ] TJ /F147 8.9664 Tf 1.014 0 0 1 242.905 328.939 Tm [ (2) ] TJ /F164 8.9664 Tf 1.014 0 0 1 247.133 328.939 Tm [ (vec) ] TJ /F147 8.9664 Tf 1.014 0 0 1 263.168 328.939 Tm [ (\133) ] TJ 1 0 0 1 266.404 328.939 Tm [ (12) ] TJ 1.014 0 0 1 274.743 328.939 Tm [ (\135) -247 (cus\055) ] TJ 0.982 0 0 1 53.798 317.981 Tm [ (tomize) -7 (d) -254 (random) -255 (walk) -254 (generation\073) -254 (and) ] TJ /F164 8.9664 Tf 0.982 0 0 1 193.149 317.981 Tm [ (VERSE) ] TJ /F147 8.9664 Tf 0.982 0 0 1 220.376 317.981 Tm [ (\133) ] TJ 1 0 0 1 223.511 317.981 Tm [ (36) ] TJ 0.982 0 0 1 231.85 317.981 Tm [ (\135) -254 (generalize) -7 (d) -255 (this) ] TJ 0.98 0 0 1 53.798 307.022 Tm [ (appr) 8 (oach) -224 (to) -223 (a) -224 (metho) -7 (d) -224 (that) -223 (pr) 8 (eser) -16 (v) 9 (es) -224 (any) -224 (similarity) -223 (measur) 8 (e) -224 (among) ] TJ 0.98 0 0 1 53.798 296.063 Tm [ (no) -7 (des\054) -224 (with) -224 (Personalize) -7 (d) -224 (PageRank) -223 (\050PPR\051) -224 (\133) ] TJ 1 0 0 1 207.072 296.063 Tm [ (24) ] TJ 0.98 0 0 1 215.41 296.063 Tm [ (\135) -224 (as) -224 (the) -223 (default) -224 (option\056) ] TJ 0.995 0 0 1 53.798 285.104 Tm [ (Such) -252 (neural) -253 (emb) -10 (e) -7 (ddings) -252 (le) 7 (v) 8 (erage) -252 (paths) -253 (ar) 9 (ound) -253 (a) -252 (no) -7 (de) 10 (\054) -252 (r) 8 (each) -253 (scal\055) ] TJ 1.016 0 0 1 53.798 274.145 Tm [ (ability) -247 (via) -247 (sampling\054) -247 (and) -247 (pr) 8 (o) 7 (vide) -247 (no) -247 (close) -7 (d\055form) -246 (solution) -247 (and) -247 (no) ] TJ 0.98 0 0 1 53.798 263.186 Tm [ (quality) -256 (guarante) -7 (es\073) -256 (w) 8 (e) -256 (call) -257 (them) ] TJ /F156 8.9664 Tf 0.98 0 0 1 172.684 263.186 Tm [ (p) -7 (ositional) ] TJ /F147 8.9664 Tf 0.98 0 0 1 209.362 263.186 Tm [ (emb) -10 (e) -7 (ddings\056) -256 (In) -257 (another) ] TJ 1.02 0 0 1 53.798 252.227 Tm [ (neural) -261 (appr) 7 (oach\054) ] TJ /F156 8.9664 Tf 1.02 0 0 1 119.116 252.227 Tm [ (structural) ] TJ /F147 8.9664 Tf 1.02 0 0 1 157.248 252.227 Tm [ (emb) -10 (e) -7 (ddings) -261 (\133) ] TJ 1 0 0 1 207.787 252.227 Tm [ (3) ] TJ 1.02 0 0 1 211.957 252.227 Tm [ (\054) ] TJ 1 0 0 1 216.359 252.227 Tm [ (29) ] TJ 1.02 0 0 1 224.698 252.227 Tm [ (\054) ] TJ 1 0 0 1 229.1 252.227 Tm [ (30) ] TJ 1.02 0 0 1 237.439 252.227 Tm [ (\135) -261 (le) 6 (v) 8 (erage) -261 (com\055) ] TJ 1.02 0 0 1 53.798 241.268 Tm [ (ple) 7 (x) -269 (graph) -270 (structural) -269 (patterns) -269 (to) -269 (impr) 7 (o) 7 (v) 8 (e) -269 (quality) -269 (at) -270 (the) -269 (e) 7 (xp) -7 (ense) ] TJ 1.02 0 0 1 53.798 230.309 Tm [ (of) -310 (scalability\073) -309 (ho) 7 (w) 8 (e) 6 (v) 8 (er) 58 (\054) -309 (p) -7 (ositional) -310 (emb) -10 (e) -7 (ddings) -309 (outp) -7 (erform) -309 (their) ] TJ 1.02 0 0 1 53.798 219.35 Tm [ (structural) -284 (counterparts) -285 (in) -284 (b) -10 (oth) -284 (quality) -284 (and) -285 (scalability) 58 (\056) -284 (For) -285 (these) ] TJ 1 0 0 1 53.798 208.391 Tm [ (r) 8 (easons\054) -250 (w) 8 (e) -250 (e) 7 (xclude) -250 (structural) -250 (emb) -10 (e) -7 (ddings) -250 (fr) 8 (om) -250 (our) -250 (discussion\056) ] TJ /F151 10.9091 Tf 0 -21.001 Td [ (2\0563) -1000 (Factorization\055base) -7 (d) -250 (emb) -10 (e) -7 (ddings) ] TJ /F147 8.9664 Tf 0.98 0 0 1 53.798 173.691 Tm [ (Other) -237 (w) 8 (orks) -237 (cast) -237 (the) -236 (pr) 8 (oblem) -237 (of) -237 (emb) -10 (e) -7 (dding) -237 (a) -237 (graph\047s) -237 (no) -7 (des) -237 (as) -237 (one) ] TJ 0.983 0 0 1 53.798 162.732 Tm [ (of) -255 (e) 7 (xact) -255 (or) -255 (appr) 8 (o) 7 (ximate) -255 (factorization) -255 (of) -255 (the) -255 (no) -7 (de) -255 (similarity) -255 (matrix\054) ] TJ 1 0 0 1 53.467 151.773 Tm [ (which) -250 (is) -250 (meant) -250 (to) -250 (minimize) -250 (the) ] TJ /F156 8.9664 Tf 118.015 0 Td [ (r) 8 (e) -7 (construction) -250 (err) 8 (or) ] TJ /F147 8.9664 Tf 72.349 0 Td [ (\13328\135\072) ] TJ 0 g 0 G /F164 8.9664 Tf 1.02 0 0 1 63.761 137.192 Tm [ (Definition) -319 (1) -319 (\050Reconstruction) -318 (error\051\056) ] TJ 0 g 0 G /F156 8.9664 Tf 1.02 0 0 1 223.002 137.192 Tm [ (The) ] TJ /F147 8.9664 Tf 1.02 0 0 1 239.518 137.192 Tm [ (r) 8 (e) -7 (construction) ] TJ 0.98 0 0 1 53.798 126.233 Tm [ (err) 8 (or) ] TJ /F156 8.9664 Tf 0.98 0 0 1 73.869 126.233 Tm [ (b) -10 (etw) 8 (e) -7 (en) -225 (matrices) ] TJ /F186 8.9664 Tf 0.98 0 0 1 135.428 126.233 Tm [ (S) ] TJ /F156 8.9664 Tf 0.98 0 0 1 141.669 126.233 Tm [ (and) ] TJ /F186 8.9664 Tf 1 0 0 1 157.633 128.246 Tm [ (\176) ] TJ -0.865 -2.013 Td [ (S) ] TJ /F156 8.9664 Tf 0.98 0 0 1 163.096 126.233 Tm [ (is) -225 (the) -226 (Fr) 9 (ob) -11 (enius) -225 (norm) -225 (of) -225 (the) -226 (di\035er) 9 (ence) ] TJ 1 0 0 1 53.798 112.135 Tm [ (among) -250 (the) ] TJ /F186 8.9664 Tf 39.793 0 Td [ (S) ] TJ /F156 8.9664 Tf 6.59 0 Td [ (and) ] TJ /F186 8.9664 Tf 16.494 2.013 Td [ (\176) ] TJ -0.865 -2.013 Td [ (S) ] TJ /F156 8.9664 Tf 4.348 0 Td [ (\054) -250 (i\056e) 10 (\056\054) ] TJ /F265 8.9664 Tf 18.767 0 Td [ (k) ] TJ /F186 8.9664 Tf 4.035 0 Td [ (S) ] TJ /F265 8.9664 Tf 6.341 0 Td [ <00> ] TJ /F186 8.9664 Tf 8.56 2.013 Td [ (\176) ] TJ -0.865 -2.013 Td [ (S) ] TJ /F265 8.9664 Tf 4.797 0 Td [ (k) ] TJ /F186 7.2727 Tf 4.035 3.255 Td [ (2) ] TJ /F271 7.2727 Tf -0.267 -6.779 Td [ (F) ] TJ /F264 8.9664 Tf 7.622 3.524 Td [ (\075) ] TJ /F278 8.9664 Tf 8.193 9.964 Td [ (q) ] TJ ET q 1 0 0 1 188.764 122.35 cm [ ] 0 d 0 J 0.502 w 0 0 m 79.493 0 l S Q BT /F278 8.9664 Tf 188.764 118.412 Td [ () ] TJ /F271 7.2727 Tf 7.136 -2.808 Td [ (n) ] TJ 0 -6.568 Td [ (i) ] TJ /F264 7.2727 Tf 2.909 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.626 0 Td [ (1) ] TJ /F278 8.9664 Tf 5.374 9.376 Td [ () ] TJ /F271 7.2727 Tf 7.136 -2.808 Td [ (n) ] TJ 0.363 -6.568 Td [ (j) ] TJ /F264 7.2727 Tf 2.75 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F265 8.9664 Tf 3.88 3.099 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (S) ] TJ /F271 7.2727 Tf 4.239 -1.345 Td [ (i) -118 (j) ] TJ /F265 8.9664 Tf 8.331 1.345 Td [ <00> ] TJ /F186 8.9664 Tf 8.56 2.013 Td [ (\176) ] TJ -0.865 -2.013 Td [ (S) ] TJ /F271 7.2727 Tf 4.24 -1.345 Td [ (i) -118 (j) ] TJ /F265 8.9664 Tf 6.338 1.345 Td [ () ] TJ /F186 7.2727 Tf 2.986 2.591 Td [ (2) ] TJ /F156 8.9664 Tf 3.88 -2.591 Td [ (\056) ] TJ /F147 8.9664 Tf 1.02 0 0 1 63.761 95.611 Tm [ (In) -384 (the) -383 (case) -384 (of) ] TJ /F156 8.9664 Tf 1.02 0 0 1 120.563 95.611 Tm [ (symmetric) ] TJ /F186 8.9664 Tf 1.02 0 0 1 162.345 95.611 Tm [ (S) ] TJ /F147 8.9664 Tf 1.02 0 0 1 166.781 95.611 Tm [ (\054) -384 (ther) 8 (e) -384 (e) 7 (xists) -383 (an) -384 (eigende) -7 (comp) -7 (osi\055) ] TJ 1.02 0 0 1 53.798 84.653 Tm [ (tion) ] TJ /F186 8.9664 Tf 1 0 0 1 72.385 84.653 Tm [ (S) ] TJ /F264 8.9664 Tf 6.84 0 Td [ (\075) ] TJ /F186 8.9664 Tf 8.193 0 Td [ (U) ] TJ /F252 8.9664 Tf 5.927 0 Td [ <03> ] TJ /F186 8.9664 Tf 5.9 0 Td [ (U) ] TJ /F265 7.2727 Tf 5.926 3.254 Td [ (\076) ] TJ /F147 8.9664 Tf 1.02 0 0 1 110.848 84.653 Tm [ (\054) -399 (and) -400 (the) -399 (optimal) -399 (rank\055) ] TJ /F194 8.9664 Tf 1 0 0 1 201.631 84.653 Tm [ (k) ] TJ /F147 8.9664 Tf 1.02 0 0 1 210.313 84.653 Tm [ (appr) 8 (o) 7 (ximation) -400 (of) ] TJ /F186 8.9664 Tf 1.02 0 0 1 279.912 84.653 Tm [ (S) ] TJ /F147 8.9664 Tf 1.02 0 0 1 288 84.653 Tm [ (is) ] TJ 0 g 0 G 0 g 0 G /F265 8.9664 Tf 1 0 0 1 317.955 698.351 Tm [ (\273) ] TJ /F186 8.9664 Tf 2.986 0 Td [ (S) ] TJ /F265 8.9664 Tf 4.349 0 Td [ () ] TJ /F271 7.2727 Tf 2.876 -1.964 Td [ (k) ] TJ /F264 8.9664 Tf 7.491 1.964 Td [ (\075) ] TJ /F186 8.9664 Tf 8.193 0 Td [ (W) -24 (W) ] TJ /F265 7.2727 Tf 17.269 3.255 Td [ (\076) ] TJ /F147 8.9664 Tf 1.02 0 0 1 366.796 698.351 Tm [ (\054) -339 (wher) 8 (e) -338 (the) -339 (matrix) ] TJ /F186 8.9664 Tf 1 0 0 1 441.009 698.351 Tm [ (W) ] TJ /F264 8.9664 Tf 11.018 0 Td [ (\075) ] TJ /F186 8.9664 Tf 8.193 0 Td [ (U) ] TJ /F271 7.2727 Tf 5.818 -1.964 Td [ (k) ] TJ /F278 8.9664 Tf 5 9.355 Td [ (p) ] TJ ET q 1 0 0 1 477.601 705.993 cm [ ] 0 d 0 J 0.502 w 0 0 m 10.97 0 l S Q BT /F252 8.9664 Tf 477.601 698.351 Td [ <03> ] TJ /F271 7.2727 Tf 5.97 -1.964 Td [ (k) ] TJ /F147 8.9664 Tf 1.02 0 0 1 491.668 698.351 Tm [ (is) -339 (the) -338 (pr) 8 (o) -7 (duct) -339 (b) -10 (e\055) ] TJ 1.02 0 0 1 317.955 687.392 Tm [ (tw) 8 (e) -7 (en) -296 (the) -295 (matrix) -296 (of) -295 (the) -296 (\033rst) ] TJ /F194 8.9664 Tf 1 0 0 1 427.54 687.392 Tm [ (k) ] TJ /F147 8.9664 Tf 1.02 0 0 1 435.273 687.392 Tm [ (eigenv) 8 (e) -7 (ctors\054) ] TJ /F186 8.9664 Tf 1.02 0 0 1 487.181 687.392 Tm [ (U) ] TJ /F271 7.2727 Tf 1 0 0 1 493.117 685.428 Tm [ (k) ] TJ /F147 8.9664 Tf 1.02 0 0 1 498.117 687.392 Tm [ (\054) -296 (and) -295 (a) -296 (diagonal) ] TJ 1.02 0 0 1 317.955 676.433 Tm [ (matrix) -287 (of) -286 (the) -287 (squar) 8 (e) -287 (r) 8 (o) -7 (ots) -286 (of) -287 (the) -286 (\033rst) ] TJ /F194 8.9664 Tf 1 0 0 1 460.579 676.433 Tm [ (k) ] TJ /F147 8.9664 Tf 1.02 0 0 1 468.231 676.433 Tm [ (eigenvalues\054) ] TJ /F252 8.9664 Tf 1 0 0 1 516.699 676.433 Tm [ <03> ] TJ /F271 7.2727 Tf 5.971 -1.964 Td [ (k) ] TJ /F147 8.9664 Tf 1.02 0 0 1 527.669 676.433 Tm [ (\056) -287 (On) -286 (the) ] TJ 0.984 0 0 1 317.955 665.474 Tm [ (other) -255 (hand\054) -254 (in) -255 (case) ] TJ /F186 8.9664 Tf 0.984 0 0 1 388.482 665.474 Tm [ (S) ] TJ /F147 8.9664 Tf 0.984 0 0 1 395.008 665.474 Tm [ (is) ] TJ /F156 8.9664 Tf 0.984 0 0 1 403.086 665.474 Tm [ (asymmetric) ] TJ /F147 8.9664 Tf 0.984 0 0 1 444.007 665.474 Tm [ (\054) -255 (the) -254 (b) -10 (est) -255 (rank\055) ] TJ /F194 8.9664 Tf 1 0 0 1 498.016 665.474 Tm [ (k) ] TJ /F147 8.9664 Tf 0.984 0 0 1 505.293 665.474 Tm [ (appr) 8 (o) 7 (ximation) ] TJ 0.98 0 0 1 317.955 654.516 Tm [ (is) -231 (obtaine) -7 (d) -231 (by) -231 (the) -230 (\033rst) ] TJ /F194 8.9664 Tf 1 0 0 1 399.361 654.516 Tm [ (k) ] TJ /F147 8.9664 Tf 0.98 0 0 1 406.42 654.516 Tm [ (singular) -231 (v) 8 (e) -7 (ctors) -231 (and) -230 (values) -231 (of) -231 (the) -231 (Singular) ] TJ 0.98 0 0 1 317.659 643.557 Tm [ (V) 61 (alue) -175 (De) -7 (comp) -7 (osition) -175 (\050SVD) 10 (\051) ] TJ /F186 8.9664 Tf 1 0 0 1 418.182 643.557 Tm [ (S) ] TJ /F264 8.9664 Tf 6.839 0 Td [ (\075) ] TJ /F194 8.9664 Tf 7.655 0 Td [ (U) ] TJ /F252 8.9664 Tf 7.299 0 Td [ <06> ] TJ /F194 8.9664 Tf 4.654 0 Td [ (V) ] TJ /F265 7.2727 Tf 6.742 3.254 Td [ (\076) ] TJ /F147 8.9664 Tf 0.98 0 0 1 457.048 643.557 Tm [ (\054) -175 (i\056e) 10 (\056\054) ] TJ /F265 8.9664 Tf 1 0 0 1 474.077 643.557 Tm [ (\273) ] TJ /F186 8.9664 Tf 0.98 0 0 1 477.063 643.557 Tm [ (S) ] TJ /F265 8.9664 Tf 1 0 0 1 481.325 643.557 Tm [ () ] TJ /F271 7.2727 Tf 2.876 -1.964 Td [ (k) ] TJ /F264 8.9664 Tf 7.491 1.964 Td [ (\075) ] TJ /F186 8.9664 Tf 0.98 0 0 1 499.885 643.557 Tm [ (U) ] TJ /F271 7.2727 Tf 1 0 0 1 505.584 641.593 Tm [ (k) ] TJ /F252 8.9664 Tf 5.18 1.964 Td [ <06> ] TJ /F271 7.2727 Tf 5.216 -1.964 Td [ (k) ] TJ /F186 8.9664 Tf 0.98 0 0 1 520.98 643.557 Tm [ (V) ] TJ /F265 7.2727 Tf 1 0 0 1 526.71 646.811 Tm [ (\076) ] TJ /F271 7.2727 Tf -0.11 -7.135 Td [ (k) ] TJ /F147 8.9664 Tf 0.98 0 0 1 532.386 643.557 Tm [ (\054) -175 (wher) 8 (e) ] TJ /F186 8.9664 Tf 1 0 0 1 317.955 632.364 Tm [ (U) ] TJ /F271 7.2727 Tf 5.818 -1.964 Td [ (k) ] TJ /F147 8.9664 Tf 7.241 1.964 Td [ (and) ] TJ /F186 8.9664 Tf 15.736 0 Td [ (V) ] TJ /F271 7.2727 Tf 5.737 -1.964 Td [ (k) ] TJ /F147 8.9664 Tf 7.242 1.964 Td [ (denotes) -250 (the) -250 (\033rst) ] TJ /F194 8.9664 Tf 60.98 0 Td [ (k) ] TJ /F147 8.9664 Tf 7.272 0 Td [ (columns) -250 (of) ] TJ /F186 8.9664 Tf 42.707 0 Td [ (U) ] TJ /F147 8.9664 Tf 8.168 0 Td [ (and) ] TJ /F186 8.9664 Tf 15.736 0 Td [ (V) ] TJ /F147 8.9664 Tf 5.846 0 Td [ (\054) -250 (r) 8 (esp) -7 (e) -7 (ctiv) 8 (ely) 59 (\056) ] TJ 1.02 0 0 1 327.918 621.405 Tm [ (GraRep) -281 (\133) ] TJ 1 0 0 1 361.798 621.405 Tm [ (8) ] TJ 1.02 0 0 1 365.968 621.405 Tm [ (\135) -281 (applies) -282 (SVD) -281 (to) -282 (factorize) -281 (a) -282 (concatenation) -281 (of) -282 (dense) ] TJ 1.02 0 0 1 317.955 610.446 Tm [ (log\055transforme) -7 (d) -350 (De) -7 (ep) 53 (W) 59 (alk) -350 (transition) -351 (pr) 8 (obability) -350 (matrices) -350 (o) 7 (v) 8 (er) ] TJ 1.015 0 0 1 317.955 599.487 Tm [ (di\035er) 8 (ent) -247 (numb) -10 (ers) -246 (of) -247 (steps\073) -246 (y) 8 (et) -247 (it) -247 (is) -246 (neither) -247 (scalable) 10 (\054) -246 (nor) -247 (pr) 8 (o) 7 (vides) ] TJ 0.984 0 0 1 317.955 588.529 Tm [ (quality) -253 (guarante) -7 (es\056) ] TJ /F164 8.9664 Tf 0.984 0 0 1 388.973 588.529 Tm [ (HOPE) ] TJ /F147 8.9664 Tf 0.984 0 0 1 413.528 588.529 Tm [ (\133) ] TJ 1 0 0 1 416.669 588.529 Tm [ (23) ] TJ 0.984 0 0 1 425.007 588.529 Tm [ (\135) -253 (o) 7 (v) 8 (er) 8 (comes) -253 (the) -253 (scalability) -253 (drawback) ] TJ 1.011 0 0 1 317.955 577.57 Tm [ (using) -246 (a) -247 (generalize) -6 (d) -247 (form) -246 (of) -246 (SVD) -247 (on) -246 (sp) -7 (e) -7 (cial) -246 (similarity) -246 (matrices) -247 (in) ] TJ 0.996 0 0 1 317.955 566.611 Tm [ (the) -251 (form) ] TJ /F194 8.9664 Tf 1 0 0 1 351.435 566.611 Tm [ (A) 25 (B) ] TJ /F265 7.2727 Tf 11.155 3.255 Td [ <00> ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F147 8.9664 Tf 0.996 0 0 1 371.095 566.611 Tm [ (\073) -251 (it) -251 (achie) 7 (v) 8 (es) -251 (optimality) -251 (due) -251 (to) -251 (the) -251 (guarante) -7 (es) -251 (of) -251 (the) ] TJ 0.991 0 0 1 317.955 555.652 Tm [ <45636b61727415> 49 (Y) 72 <6f756e67154d6972736b79> -251 (the) -7 (or) 8 (em\054) -250 (but) -251 (its) -251 (o) 7 (v) 8 (erall) -250 (p) -8 (erformance) -250 (is) -251 (hin\055) ] TJ 0.98 0 0 1 317.955 544.693 Tm [ (der) 8 (e) -7 (d) -202 (by) -202 (the) -201 (linearity) -202 (of) -202 (the) -202 (underlying) -201 (transform) -202 (\133) ] TJ 1 0 0 1 499.576 544.693 Tm [ (36) ] TJ 0.98 0 0 1 507.915 544.693 Tm [ (\135\056) ] TJ /F164 8.9664 Tf 0.98 0 0 1 514.752 544.693 Tm [ (AROPE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 543.607 544.693 Tm [ (\133) ] TJ 1 0 0 1 546.735 544.693 Tm [ (47) ] TJ 0.98 0 0 1 555.074 544.693 Tm [ (\135) ] TJ 1.001 0 0 1 317.955 533.734 Tm [ (applies) -250 (sp) -7 (e) -7 (ctral) -250 (\033ltering) -250 (on) -250 (symmetric) -249 (similarity) -250 (matrices\054) -250 (forfeit\055) ] TJ 0.983 0 0 1 317.955 522.775 Tm [ (ing) -255 (any) -255 (guarante) -8 (es\056) ] TJ /F164 8.9664 Tf 0.983 0 0 1 390.924 522.775 Tm [ (Appro) 25 (xPPR) ] TJ /F147 8.9664 Tf 0.983 0 0 1 436.087 522.775 Tm [ (\133) ] TJ 1 0 0 1 439.225 522.775 Tm [ (41) ] TJ 0.983 0 0 1 447.564 522.775 Tm [ (\135) -255 (applies) -255 (the) -256 (randomize) -7 (d) -255 (blo) -7 (ck) ] TJ 1.02 0 0 1 317.955 511.816 Tm [ (Kr) -15 (ylo) 7 (v) -252 (SVD) -252 (algorithm) -252 (\133) ] TJ 1 0 0 1 407.211 511.816 Tm [ (22) ] TJ 1.02 0 0 1 415.55 511.816 Tm [ (\135) -252 (on) -252 (a) -252 (truncate) -7 (d) -252 (PPR) -253 (matrix\073) ] TJ /F164 8.9664 Tf 1.02 0 0 1 524.336 511.816 Tm [ (NRP) ] TJ /F147 8.9664 Tf 1.02 0 0 1 543.351 511.816 Tm [ (\133) ] TJ 1 0 0 1 546.607 511.816 Tm [ (41) ] TJ 1.02 0 0 1 554.946 511.816 Tm [ (\135) ] TJ 0.98 0 0 1 317.955 500.857 Tm [ (iterativ) 8 (ely) -203 (r) 9 (e) 7 (w) 8 (eights) -203 (the) -203 (r) 8 (esulting) -202 (emb) -11 (e) -7 (dding) -202 (v) 8 (e) -7 (ctors) -203 (by) -203 (co) -7 (or) 8 (dinate) ] TJ 1.02 0 0 1 317.955 489.898 Tm [ (descent\073) -260 (this) -260 (p) -7 (ost\055ho) -7 (c) -260 (r) 8 (e\033nement) -260 (b) -10 (o) -7 (osts) -260 (the) -260 (p) -7 (erformance) -260 (of) ] TJ /F164 8.9664 Tf 1.02 0 0 1 545.874 489.898 Tm [ (Ap) -20 (\055) ] TJ 0.98 0 0 1 317.955 478.94 Tm [ (pro) 25 (xPPR) ] TJ /F147 8.9664 Tf 0.98 0 0 1 352.661 478.94 Tm [ (emb) -10 (e) -7 (ddings) -237 (\133) ] TJ 1 0 0 1 401.009 478.94 Tm [ (41) ] TJ 0.98 0 0 1 409.347 478.94 Tm [ (\135\056) ] TJ /F164 8.9664 Tf 0.98 0 0 1 416.491 478.94 Tm [ (STRAP) ] TJ /F147 8.9664 Tf 0.98 0 0 1 444.098 478.94 Tm [ (\133) ] TJ 1 0 0 1 447.226 478.94 Tm [ (42) ] TJ 0.98 0 0 1 455.565 478.94 Tm [ (\135) -237 (applies) -237 (sparse) -236 (factorization) ] TJ 0.98 0 0 1 317.955 467.981 Tm [ (on) -201 (a) -201 (sparse\055PPR\055base) -7 (d) -202 (pr) 9 (o) 7 (ximity) -201 (matrix\073) -202 (similarly) 61 (\054) ] TJ /F164 8.9664 Tf 0.98 0 0 1 499.396 467.981 Tm [ (ProNE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 526.391 467.981 Tm [ (\133) ] TJ 1 0 0 1 529.52 467.981 Tm [ (45) ] TJ 0.98 0 0 1 537.858 467.981 Tm [ (\135) -201 (uses) ] TJ 1.013 0 0 1 317.955 457.022 Tm [ (sparse) -246 (factorization) -246 (on) -247 (a) -246 (w) 8 (eighte) -7 (d) -246 (adjacency) -246 (matrix) -246 (and) -246 (sp) -7 (e) -7 (ctral) ] TJ 1 0 0 1 317.955 446.063 Tm [ (pr) 8 (opagation) -250 (on) -250 (the) -250 (obtaine) -7 (d) -250 (emb) -10 (e) -7 (ddings\056) ] TJ /F151 10.9091 Tf 0 -23.015 Td [ (2\0564) -1000 (The) -250 (neural\055factorization) -250 (conne) -7 (ction) ] TJ /F147 8.9664 Tf 1.02 0 0 1 317.955 409.35 Tm [ (Re) -7 (cent) -363 (w) 8 (ork) -363 (has) -363 (establishe) -7 (d) -362 (a) -363 (conne) -7 (ction) -363 (b) -10 (etw) 8 (e) -7 (en) -363 (neural) -363 (and) ] TJ 0.98 0 0 1 317.955 398.391 Tm [ (factorization\055base) -7 (d) -218 (emb) -10 (e) -7 (ddings\056) -218 (In) ] TJ /F164 8.9664 Tf 0.98 0 0 1 444.773 398.391 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 0.98 0 0 1 473.303 398.391 Tm [ (\133) ] TJ 1 0 0 1 476.432 398.391 Tm [ (28) ] TJ 0.98 0 0 1 484.77 398.391 Tm [ (\135\054) -218 (Qiu) -218 (et) -218 (al\056) -218 (e) 7 (xtende) -7 (d) ] TJ 0.98 0 0 1 317.955 387.432 Tm [ (an) -184 (analysis) -184 (of) -184 (w) 8 (or) 8 (d) -184 (emb) -10 (e) -7 (ddings) -184 (\133) ] TJ 1 0 0 1 435.68 387.432 Tm [ (16) ] TJ 0.98 0 0 1 444.018 387.432 Tm [ (\135) -184 (to) -184 (conne) -7 (ct) -184 (matrix) -185 (factorization) ] TJ 1.02 0 0 1 317.955 376.473 Tm [ (and) -276 (neural) -276 (emb) -10 (e) -7 (ddings\072) -276 (under) -276 (certain) -277 (pr) 8 (obability) -276 (indep) -7 (endence) ] TJ 1.02 0 0 1 317.955 365.514 Tm [ (assumptions\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 369.643 365.514 Tm [ (DeepW) 118 (alk) ] TJ /F147 8.9664 Tf 1.02 0 0 1 410.71 365.514 Tm [ (\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 415.754 365.514 Tm [ (LINE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 434.786 365.514 Tm [ (\054) -332 (and) ] TJ /F164 8.9664 Tf 1.02 0 0 1 456.626 365.514 Tm [ (Node) ] TJ /F147 8.9664 Tf 1.02 0 0 1 477.697 365.514 Tm [ (2) ] TJ /F164 8.9664 Tf 1.02 0 0 1 481.95 365.514 Tm [ (vec) ] TJ /F147 8.9664 Tf 1.02 0 0 1 498.856 365.514 Tm [ (implicitly) -331 (apply) ] TJ 0.98 0 0 1 317.955 354.555 Tm [ (SVD) -175 (on) -175 (dense) -175 (log\055transforme) -7 (d) -175 (similarity) -175 (matrices\056) ] TJ /F164 8.9664 Tf 0.98 0 0 1 498.029 354.555 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 0.98 0 0 1 526.182 354.555 Tm [ (pr) 8 (op) -7 (oses) ] TJ 0.98 0 0 1 317.955 343.596 Tm [ (no) 7 (v) 8 (el) -228 (close) -7 (d\055form) -228 (solutions) -228 (to) -228 (compute) -228 (such) -228 (matrices) -228 (with) -228 (optimal) ] TJ 0.983 0 0 1 317.955 332.637 Tm [ (err) 8 (or) -253 (guarante) -7 (es\056) -254 (For) -253 (e) 7 (xample) 10 (\054) ] TJ /F164 8.9664 Tf 0.983 0 0 1 430.212 332.637 Tm [ (DeepW) 122 (alk) ] TJ /F147 8.9664 Tf 0.983 0 0 1 469.751 332.637 Tm [ (\047s) -253 (obje) -8 (ctiv) 9 (e) -254 (is) -253 (e) -7 (quivalent) ] TJ 1 0 0 1 317.955 321.678 Tm [ (to) -250 (SVD) -250 (on) -250 (the) -250 (dense) -250 (similarity) -250 (matrix) ] TJ /F186 8.9664 Tf 71.082 -23.614 Td [ (S) ] TJ /F264 8.9664 Tf 6.839 0 Td [ (\075) ] TJ /F186 8.9664 Tf 8.193 0 Td [ (log) ] TJ /F278 8.9664 Tf 13.581 15.287 Td [ (\040) ] TJ /F194 8.9664 Tf 5.76 -9.217 Td [ (m) ] TJ ET q 1 0 0 1 422.45 300.368 cm [ ] 0 d 0 J 0.502 w 0 0 m 9.773 0 l S Q BT /F194 8.9664 Tf 421.984 291.913 Td [ (b) 20 (T) ] TJ /F278 8.9664 Tf 12.152 12.985 Td [ <00> ] TJ /F271 7.2727 Tf 7.331 4.134 Td [ (T) ] TJ /F278 8.9664 Tf -3.03 -1.793 Td [ () ] TJ /F271 7.2727 Tf -0.029 -19.715 Td [ (r) ] TJ /F264 7.2727 Tf 3.804 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.626 0 Td [ (1) ] TJ /F186 8.9664 Tf 4.956 10.54 Td [ (P) ] TJ /F271 7.2727 Tf 4.742 3.703 Td [ (r) ] TJ /F278 8.9664 Tf 4.481 3.131 Td [ <01> ] TJ /F186 8.9664 Tf 3.344 -6.834 Td [ (D) ] TJ /F265 7.2727 Tf 6.286 3.703 Td [ <00> ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F278 8.9664 Tf 4.059 11.584 Td [ (\041) ] TJ /F196 8.9664 Tf 5.548 -15.287 Td [ (\073) ] TJ /F147 8.9664 Tf 63.809 0 Td [ (\0501\051) ] TJ 1.02 0 0 1 327.918 274.79 Tm [ (wher) 8 (e) ] TJ /F194 8.9664 Tf 1 0 0 1 352.73 274.79 Tm [ (T) ] TJ /F147 8.9664 Tf 1.02 0 0 1 361.134 274.79 Tm [ (is) -248 (the) -249 (random) -248 (walk) -248 (windo) 7 (w) -249 (si) 1 (ze) -249 (and) ] TJ /F194 8.9664 Tf 1 0 0 1 499.665 274.79 Tm [ (b) ] TJ /F147 8.9664 Tf 1.02 0 0 1 506.76 274.79 Tm [ (is) -248 (the) -249 (numb) -9 (er) ] TJ 1.02 0 0 1 317.955 263.831 Tm [ (of) -344 (negativ) 7 (e) -344 (samples) -345 (\133) ] TJ 1 0 0 1 399.622 263.831 Tm [ (28) ] TJ 1.02 0 0 1 407.961 263.831 Tm [ (\135\056) -345 (The) ] TJ /F194 8.9664 Tf 1 0 0 1 433.556 263.831 Tm [ (d) ] TJ /F147 8.9664 Tf 1.02 0 0 1 438.613 263.831 Tm [ (\055dimensional) -344 (De) -7 (ep) 53 (W) 59 (alk) -345 (emb) -10 (e) -7 (d\055) ] TJ 1.01 0 0 1 317.955 252.873 Tm [ (ding) -248 (is) -247 (obtaine) -7 (d) -248 (as) ] TJ /F186 8.9664 Tf 1.01 0 0 1 389.136 252.873 Tm [ (U) ] TJ /F271 7.2727 Tf 1 0 0 1 394.941 250.909 Tm [ (d) ] TJ /F265 8.9664 Tf 5.138 8.348 Td [ (p) ] TJ ET q 1 0 0 1 406.382 259.508 cm [ ] 0 d 0 J 0.502 w 0 0 m 10.462 0 l S Q BT /F252 8.9664 Tf 406.561 252.873 Td [ <06> ] TJ /F271 7.2727 Tf 5.145 -1.964 Td [ (d) ] TJ /F147 8.9664 Tf 1.01 0 0 1 416.844 252.873 Tm [ (\054) -248 (wher) 8 (e) ] TJ /F186 8.9664 Tf 1.01 0 0 1 446.35 252.873 Tm [ (U) ] TJ /F271 7.2727 Tf 1 0 0 1 452.154 250.909 Tm [ (d) ] TJ /F147 8.9664 Tf 1.01 0 0 1 459.534 252.873 Tm [ (contains) -248 (the) ] TJ /F194 8.9664 Tf 1 0 0 1 506.594 252.873 Tm [ (d) ] TJ /F147 8.9664 Tf 1.01 0 0 1 513.893 252.873 Tm [ (left) -248 (singular) ] TJ 1.02 0 0 1 317.731 241.914 Tm [ (v) 8 (e) -7 (ctors) -272 (and) ] TJ /F252 8.9664 Tf 1 0 0 1 363.654 241.914 Tm [ <06> ] TJ /F271 7.2727 Tf 5.144 -1.964 Td [ (d) ] TJ /F147 8.9664 Tf 1.02 0 0 1 376.422 241.914 Tm [ (the) -272 (\033rst) ] TJ /F194 8.9664 Tf 1 0 0 1 407.825 241.914 Tm [ (d) ] TJ /F147 8.9664 Tf 1.02 0 0 1 415.368 241.914 Tm [ (singular) -272 (values\056) -272 (Ho) 7 (w) 8 (e) 7 (v) 8 (er) 58 (\054) -272 (this) ] TJ /F164 8.9664 Tf 1.02 0 0 1 530.715 241.914 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 0.992 0 0 1 317.955 230.955 Tm [ (appr) 8 (oach) -251 (r) 8 (e) -7 (quir) 8 (es) ] TJ /F265 8.9664 Tf 1 0 0 1 385.882 230.955 Tm [ (O) -51 () ] TJ /F194 8.9664 Tf 9.388 0 Td [ (n) ] TJ /F186 7.2727 Tf 4.913 3.255 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 -3.255 Td [ () ] TJ /F147 8.9664 Tf 0.992 0 0 1 409.28 230.955 Tm [ (space) -251 (to) -251 (stor) 8 (e) ] TJ /F186 8.9664 Tf 0.992 0 0 1 461.177 230.955 Tm [ (S) ] TJ /F147 8.9664 Tf 0.992 0 0 1 465.491 230.955 Tm [ (\054) -251 (a) -251 (pr) 8 (ohibitiv) 8 (e) -250 (comple) 7 (xity) ] TJ 0.98 0 0 1 317.955 219.996 Tm [ (that) -228 (hinders) -228 (its) -227 (application) -228 (to) -228 (graphs) -228 (with) -228 (mor) 9 (e) -228 (than) -228 (100) -170 (000) -228 (no) -7 (des\056) ] TJ 1.02 0 0 1 317.955 209.037 Tm [ (In) -334 (another) -334 (attempt\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 394.76 209.037 Tm [ (NetSMF) ] TJ /F147 8.9664 Tf 1.02 0 0 1 429.952 209.037 Tm [ (\133) ] TJ 1 0 0 1 433.208 209.037 Tm [ (27) ] TJ 1.02 0 0 1 441.546 209.037 Tm [ (\135\054) -334 (Qiu) -334 (et) -334 (al\056) -334 (sought) -334 (to) -334 (mitigate) ] TJ /F164 8.9664 Tf 1.02 0 0 1 317.955 198.078 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 1.02 0 0 1 345.657 198.078 Tm [ (\047s) -329 (scalability) -329 (drawback) -328 (by) -329 (sparsifying) -329 (the) -329 (similarity) -328 (ma\055) ] TJ 1.001 0 0 1 317.955 187.119 Tm [ (trix\073) -251 (ho) 7 (w) 8 (e) 7 (v) 8 (er) 59 (\054) -252 (mat) 1 (r) -1 (i) 1 (x) -252 (sparsi\033cation) -251 (forfeits) -251 (optimality) -251 (guarante) -7 (es\054) ] TJ 0.98 0 0 1 317.955 176.16 Tm [ (causing) -241 (p) -7 (erformance) -242 (deterioration) -241 (for) -241 (e\035e) -7 (ctual) -241 (sparsity) -242 (le) 8 (v) 8 (els) -241 (\133) ] TJ 1 0 0 1 545.298 176.16 Tm [ (27) ] TJ 0.98 0 0 1 553.636 176.16 Tm [ (\135\073) ] TJ 1.02 0 0 1 317.955 165.201 Tm [ (b) -10 (esides\054) -257 (the) -257 (sparsi\033e) -7 (d) -257 (matrix) -257 (has) ] TJ /F265 8.9664 Tf 1 0 0 1 444.02 165.201 Tm [ (O) -51 () ] TJ /F194 8.9664 Tf 9.03 0 Td [ (T) -77 (m) ] TJ /F186 8.9664 Tf 14.352 0 Td [ (log) ] TJ /F194 8.9664 Tf 12.505 0 Td [ (n) ] TJ /F265 8.9664 Tf 4.913 0 Td [ () ] TJ /F147 8.9664 Tf 1.02 0 0 1 490.156 165.201 Tm [ (nonzer) 8 (os\054) -257 (hence) -257 (it) ] TJ 1 0 0 1 317.955 154.242 Tm [ (still) -250 (yields) -250 (quadratic) -250 (gr) 8 (o) 7 (wth\056) ] TJ /F151 10.9091 Tf 0 -23.014 Td [ (2\0565) -1000 (Synoptic) -250 (o) 7 (v) 8 (er) -15 (vie) 7 (w) ] TJ /F147 8.9664 Tf 0.98 0 0 1 317.686 117.529 Tm [ (T) 50 (able) -244 (1) -245 (pr) 9 (esents) -245 (pr) 9 (e) 7 (vious) -245 (w) 9 (ork\054) -245 (including) -244 (a) -244 (hierar) 8 (chical\055clustering\055) ] TJ 0.986 0 0 1 317.955 106.57 Tm [ (base) -7 (d) -253 (heuristic\054) ] TJ /F164 8.9664 Tf 0.986 0 0 1 376.224 106.57 Tm [ (Louv) 71 (ainNE) ] TJ /F147 8.9664 Tf 0.986 0 0 1 421.51 106.57 Tm [ (\133) ] TJ 1 0 0 1 424.658 106.57 Tm [ (5) ] TJ 0.986 0 0 1 428.827 106.57 Tm [ (\135\054) -253 (and) -254 (one) -253 (sketching) -254 (Self\055Lo) -7 (op\055A) 35 (ug\055) ] TJ 0.98 0 0 1 317.955 95.611 Tm [ (mente) -7 (d) -205 (adjacency) -206 (v) 8 (e) -7 (ctors\054) ] TJ /F164 8.9664 Tf 0.98 0 0 1 413.699 95.611 Tm [ (NodeSket) 26 (ch) ] TJ /F147 8.9664 Tf 0.98 0 0 1 463.186 95.611 Tm [ (\133) ] TJ 1 0 0 1 466.314 95.611 Tm [ (40) ] TJ 0.98 0 0 1 474.653 95.611 Tm [ (\135\054) -205 (in) -206 (terms) -205 (of) -205 (desiderata) ] TJ 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[ () -5016 (O) -51 () ] TJ /F271 7.9701 Tf 51.1 0 Td [ (d) -85 (n) ] TJ /F186 6.1768 Tf 9.979 2.893 Td [ (2) ] TJ /F265 7.9701 Tf 3.37 -2.893 Td [ () ] TJ /F164 7.9701 Tf -451.229 -9.963 Td [ (NetSMF) ] TJ 0.74902 0 0 rg 0.74902 0 0 RG /F228 7.9701 Tf 153.694 0 Td [ (8) ] TJ 0 g 0 G /F265 7.9701 Tf 216.159 0 Td [ (O) -51 () ] TJ /F271 7.9701 Tf 8.544 0 Td [ (n) ] TJ /F186 6.1768 Tf 5.013 2.893 Td [ (2) ] TJ /F265 7.9701 Tf 3.371 -2.893 Td [ () -5323 (O) -51 () ] TJ /F271 7.9701 Tf 53.621 0 Td [ (n) ] TJ /F186 6.1768 Tf 5.014 2.893 Td [ (2) ] TJ /F265 7.9701 Tf 3.37 -2.893 Td [ () ] TJ /F164 7.9701 Tf -448.786 -9.962 Td [ (STRAP) ] TJ 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG /F228 7.9701 Tf 63.856 0 Td [ (4) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4832 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG [ -4832 (4) ] TJ 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG [ -4748 (4) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4832 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G /F265 7.9701 Tf 304.72 0 Td [ (O) -51 () ] TJ /F370 6.1768 Tf 8.632 1.171 Td [ (n) ] TJ /F265 7.9701 Tf 3.599 -1.171 Td [ (\235) ] TJ /F366 6.1768 Tf 3.224 0 Td [ <0f> ] TJ /F265 7.9701 Tf 4.027 0 Td [ () -3517 (O) -51 () ] TJ /F271 7.9701 Tf 39.15 0 Td [ (d) ] TJ /F186 6.1768 Tf 5.085 2.893 Td [ (2) ] TJ /F271 7.9701 Tf 3.25 -2.893 Td [ (n) ] TJ /F264 7.9701 Tf 6.785 0 Td [ (\053) ] TJ /F370 6.1768 Tf 6.667 1.171 Td [ (m) ] TJ /F265 7.9701 Tf 5.656 -1.171 Td [ (\235) ] TJ /F366 6.1768 Tf 3.223 0 Td [ <0f> ] TJ /F265 7.9701 Tf 4.027 0 Td [ () ] TJ /F164 7.9701 Tf -461.901 -9.963 Td [ (ProNE) ] TJ 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG /F228 7.9701 Tf 63.856 0 Td [ (4) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4832 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG [ -4832 (4) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4832 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G /F265 7.9701 Tf 305.239 0 Td [ (O) -51 () ] TJ /F271 7.9701 Tf 8.465 0 Td [ (d) -85 (n) ] TJ /F265 7.9701 Tf 9.978 0 Td [ () -3597 (O) -51 () ] TJ /F271 7.9701 Tf 39.788 0 Td [ (d) ] TJ /F186 6.1768 Tf 5.085 2.893 Td [ (2) ] TJ /F271 7.9701 Tf 3.251 -2.893 Td [ (n) ] TJ /F264 7.9701 Tf 6.784 0 Td [ (\053) ] TJ /F271 7.9701 Tf 6.402 0 Td [ (T) -127 (m) ] TJ /F265 7.9701 Tf 12.935 0 Td [ () ] TJ ET q 1 0 0 1 53.798 564.793 cm [ ] 0 d 0 J 0.461 w 0 0 m 504.403 0 l S Q BT /F147 7.9701 Tf 54.795 557.489 Td [ (clust) ] TJ /F164 7.9701 Tf 21.834 0 Td [ (Louv) 70 (ainNE) ] TJ 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG /F228 7.9701 Tf 63.856 0 Td [ (4) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4832 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG [ -4832 (4) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4832 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G /F265 7.9701 Tf 297.794 0 Td [ (O) -51 () ] TJ /F271 7.9701 Tf 8.361 0 Td [ (m) ] TJ /F186 7.9701 Tf 8.645 0 Td [ (log) ] TJ /F271 7.9701 Tf 11.314 0 Td [ (n) ] TJ /F265 7.9701 Tf 5.014 0 Td [ () -1003 (O) -51 () ] TJ /F271 7.9701 Tf 19.009 0 Td [ (m) ] TJ /F186 7.9701 Tf 8.645 0 Td [ (log) ] TJ /F271 7.9701 Tf 11.314 0 Td [ (n) ] TJ /F264 7.9701 Tf 6.785 0 Td [ (\053) ] TJ /F271 7.9701 Tf 6.641 0 Td [ (d) -85 (n) ] TJ /F186 7.9701 Tf 11.307 0 Td [ (log) ] TJ /F271 7.9701 Tf 11.315 0 Td [ (n) ] TJ /F265 7.9701 Tf 5.013 0 Td [ () ] TJ ET q 1 0 0 1 53.798 554.171 cm [ ] 0 d 0 J 0.461 w 0 0 m 504.403 0 l S Q BT /F147 7.9701 Tf 54.795 546.867 Td [ (skch) ] TJ /F164 7.9701 Tf 21.834 0 Td [ (NodeSket) 25 (ch) ] TJ 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG /F228 7.9701 Tf 63.856 0 Td [ (4) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4832 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4916 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G 0.74902 0 0 rg 0.74902 0 0 RG [ -4917 (8) ] TJ 0 g 0 G /F265 7.9701 Tf 305.997 0 Td [ (O) -51 () ] TJ /F271 7.9701 Tf 8.544 0 Td [ (n) ] TJ /F186 6.1768 Tf 5.013 2.893 Td [ (2) ] TJ /F265 7.9701 Tf 3.371 -2.893 Td [ () -5323 (O) -51 () ] TJ /F271 7.9701 Tf 53.622 0 Td [ (n) ] TJ /F186 6.1768 Tf 5.013 2.893 Td [ (2) ] TJ /F265 7.9701 Tf 3.37 -2.893 Td [ () ] TJ ET q 1 0 0 1 53.798 543.548 cm [ ] 0 d 0 J 0.461 w 0 0 m 504.403 0 l S Q 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG q 1 0 0 1 53.798 543.268 cm [ ] 0 d 0 J 0.1 w 0 0 m 504.403 0 l S Q 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG q 1 0 0 1 53.798 533.255 cm 0 0 21.835 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 54.795 536.244 Td [ (skch) ] TJ 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 75.633 533.255 cm 0 0 45.932 9.963 re f Q 0 g 0 G BT /F164 7.9701 Tf 76.629 536.244 Td [ (FREDE) ] TJ /F147 7.9701 Tf 25.003 0 Td [ (\050) 17 (ours\051) ] TJ 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 121.565 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG BT /F228 7.9701 Tf 140.485 536.244 Td [ (4) ] TJ 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 166.148 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG BT /F228 7.9701 Tf 185.067 536.244 Td [ (4) ] TJ 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 210.73 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG BT /F228 7.9701 Tf 229.65 536.244 Td [ (4) ] TJ 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 255.313 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG BT /F228 7.9701 Tf 274.233 536.244 Td [ (4) ] TJ 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 299.895 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG BT /F228 7.9701 Tf 318.815 536.244 Td [ (4) ] TJ 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 344.478 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG BT /F228 7.9701 Tf 363.398 536.244 Td [ (4) ] TJ 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 389.06 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG BT /F228 7.9701 Tf 407.98 536.244 Td [ (4) ] TJ 0 g 0 G 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 433.643 533.255 cm 0 0 44.583 9.963 re f Q 0 g 0 G BT /F265 7.9701 Tf 445.724 536.244 Td [ (O) -51 () ] TJ /F271 7.9701 Tf 8.465 0 Td [ (d) -85 (n) ] TJ /F265 7.9701 Tf 9.978 0 Td [ () ] TJ 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 478.225 533.255 cm 0 0 79.429 9.963 re f Q 0 g 0 G BT /F265 7.9701 Tf 506.045 536.244 Td [ (O) -51 () ] TJ /F271 7.9701 Tf 8.464 0 Td [ (d) -85 (n) ] TJ /F186 6.1768 Tf 9.979 2.893 Td [ (2) ] TJ /F265 7.9701 Tf 3.37 -2.893 Td [ () ] TJ 0.94157 0.9749 0.9 rg 0.94157 0.9749 0.9 RG ET q 1 0 0 1 53.798 533.205 cm [ ] 0 d 0 J 0.1 w 0 0 m 504.403 0 l S Q 0 g 0 G q 1 0 0 1 53.798 532.787 cm [ ] 0 d 0 J 0.737 w 0 0 m 504.403 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 53.502 521.833 Td [ (T) 49 (able) -327 (1\072) -327 (Ful\033lle) -7 (d) -327 (\050) ] TJ 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG /F228 8.9664 Tf 74.843 0 Td [ (4) ] TJ 0 g 0 G /F151 8.9664 Tf 7.586 0 Td [ (\051) -327 (and) -327 (missing) -327 (\050) ] TJ 0.74902 0 0 rg 0.74902 0 0 RG /F228 8.9664 Tf 61.274 0 Td [ (8) ] TJ 0 g 0 G /F151 8.9664 Tf 6.07 0 Td [ (\051) -327 (desiderata) -327 (of) -327 (r) 8 (elate) -7 (d) -327 (w) 8 (ork\073) -327 (comple) 7 (xities) -327 (in) -327 (terms) -327 (of) -327 (numb) -10 (er) -327 (of) -326 (no) -7 (des) ] TJ /F194 8.9664 Tf 295.948 0 Td [ (n) ] TJ /F151 8.9664 Tf 7.845 0 Td [ (and) -327 (e) -7 (dges) ] TJ /F194 8.9664 Tf 42.75 0 Td [ (m) ] TJ /F151 8.9664 Tf 7.29 0 Td [ (\054) ] TJ -503.31 -10.959 Td [ (dimensionality) ] TJ /F194 8.9664 Tf 63.464 0 Td [ (d) ] TJ /F151 8.9664 Tf 5.057 0 Td [ (\054) -250 (conte) 7 (xt) -250 (size) ] TJ /F194 8.9664 Tf 53.673 0 Td [ (T) ] TJ /F151 8.9664 Tf 6.133 0 Td [ (\054) -250 (and) -250 (numb) -10 (er) -250 (of) -250 (negativ) 8 (e) -250 (samples) ] TJ /F194 8.9664 Tf 137.965 0 Td [ (b) ] TJ /F151 8.9664 Tf 4.824 0 Td [ (\073) -250 (w) 8 (e) -250 (assume) -250 (a) -250 (sparse) -250 (graph) -250 (with) -250 (av) 8 (erage) -250 (degr) 8 (e) -7 (e) ] TJ /F265 8.9664 Tf 194.319 0 Td [ (O) -51 () ] TJ /F194 8.9664 Tf 9.298 0 Td [ (d) ] TJ /F265 8.9664 Tf 5.057 0 Td [ () ] TJ /F151 8.9664 Tf 2.986 0 Td [ (\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G /F265 8.9664 Tf -479.941 -25.976 Td [ <0f> ] TJ 0 g 0 G /F151 8.9664 Tf 8.504 0 Td [ (nonlinear\072) ] TJ /F147 8.9664 Tf 1.02 0 0 1 110.532 484.898 Tm [ (using) -331 (nonlinear) -331 (transforms\073) ] TJ /F164 8.9664 Tf 1.02 0 0 1 218.879 484.898 Tm [ (HOPE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 242.017 484.898 Tm [ (\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 247.055 484.898 Tm [ (AROPE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 275.242 484.898 Tm [ (\054) -331 (and) ] TJ /F164 8.9664 Tf 1.006 0 0 1 56.319 473.939 Tm [ (Appro) 25 (xPPR) ] TJ /F147 8.9664 Tf 1.006 0 0 1 100.242 473.939 Tm [ (\057) ] TJ /F164 8.9664 Tf 1.006 0 0 1 103.156 473.939 Tm [ (NRP) ] TJ /F147 8.9664 Tf 1.006 0 0 1 121.866 473.939 Tm [ (use) -247 (linear) -248 (transforms\073) -247 (nonlinearity) -247 (is) -247 (desirable) 9 (\054) ] TJ 1.015 0 0 1 56.633 462.98 Tm [ (as) -247 (linear) -248 (dimensionality) -247 (r) 8 (e) -7 (duction) -247 (metho) -7 (ds) -248 (fail) -247 (to) -247 (confer) -248 (the) -247 (ad\055) ] TJ 1 0 0 1 56.409 452.021 Tm [ (vantages) -250 (of) -250 (their) -250 (nonlinear) -250 (counterparts) -250 (in) -250 (general) -250 (\13315\054) -250 (36\135\056) ] TJ 0 g 0 G /F265 8.9664 Tf 0.224 -10.959 Td [ <0f> ] TJ 0 g 0 G /F151 8.9664 Tf 8.504 0 Td [ (close) -7 (d\055form\072) ] TJ /F147 8.9664 Tf 0.98 0 0 1 118.412 441.062 Tm [ (deriving) -241 (the) -242 (solution) -241 (via) -242 (an) -241 (e) 7 (xplicit\054) -242 (w) 8 (ell\055de\033ne) -7 (d) ] TJ 1.014 0 0 1 56.633 430.103 Tm [ (formula) -247 (without) -247 (r) 8 (elying) -247 (on) -247 (heuristic) -247 (learning) -247 (comp) -7 (onents\073) -247 (only) ] TJ /F164 8.9664 Tf 1.02 0 0 1 56.633 419.144 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 1.02 0 0 1 87.093 419.144 Tm [ (and) ] TJ /F164 8.9664 Tf 1.02 0 0 1 103.616 419.144 Tm [ (NetSMF) ] TJ /F147 8.9664 Tf 1.02 0 0 1 138.512 419.144 Tm [ (ar) 8 (e) -302 (b) -10 (oth) -301 (close) -7 (d\055form) -302 (and) -301 (nonlinear\073) ] TJ /F164 8.9664 Tf 1.02 0 0 1 277.336 419.144 Tm [ (NRP) ] TJ /F147 8.9664 Tf 1.02 0 0 1 56.633 408.185 Tm [ (loses) -249 (the) -248 (close) -7 (d\055form) -248 (character) -249 (of) ] TJ /F164 8.9664 Tf 1.02 0 0 1 185.686 408.185 Tm [ (Appro) 24 (xPPR) ] TJ /F147 8.9664 Tf 1.02 0 0 1 232.497 408.185 Tm [ (due) -248 (to) -249 (its) -249 (p) -6 (erfor\055) ] TJ 0.984 0 0 1 56.633 397.227 Tm [ (mance\055b) -10 (o) -7 (osting) -255 (p) -8 (ost\055ho) -7 (c) -255 (heuristic) -255 (r) 8 (e) 7 (w) 8 (eighting\073) -255 (such) -255 (r) 8 (e) 7 (w) 9 (eighting) ] TJ 1.01 0 0 1 56.633 386.268 Tm [ (may) -247 (augment) -248 (any) -247 (emb) -10 (e) -7 (dding) -247 (with) -247 (additional) -248 (no) -7 (de) -247 (degr) 8 (e) -7 (e) -247 (infor\055) ] TJ 1 0 0 1 56.633 375.309 Tm [ (mation\054) -250 (y) 8 (et) -250 (it) -250 (was) -250 (only) -250 (applie) -7 (d) -250 (on) ] TJ /F164 8.9664 Tf 126.982 0 Td [ (Appro) 25 (xPPR) ] TJ /F147 8.9664 Tf 45.901 0 Td [ (in) -250 (\13341\135\056) ] TJ 0 g 0 G /F265 8.9664 Tf -172.883 -10.959 Td [ <0f> ] TJ 0 g 0 G /F151 8.9664 Tf 8.504 0 Td [ (err) 8 (or\055b) -10 (ounde) -7 (d\072) ] TJ /F147 8.9664 Tf 0.992 0 0 1 128.935 364.35 Tm [ (a\035or) 8 (ding) -252 (nontrivial\054) -253 (end\055to\055end) -252 (err) 8 (or) -252 (guaran\055) ] TJ 1.001 0 0 1 56.633 353.391 Tm [ (te) -7 (es) -250 (with) -250 (r) 8 (esp) -7 (e) -7 (ct) -251 (to) -250 (a) -250 (\033xe) -7 (d) -250 (obje) -7 (ctiv) 8 (e\073) -250 (in) -250 (principle) 10 (\054) -251 (err) 8 (or\055b) -10 (ounde) -7 (d) ] TJ 0.98 0 0 1 56.633 342.432 Tm [ (metho) -7 (ds\054) -189 (like) ] TJ /F164 8.9664 Tf 0.98 0 0 1 105.747 342.432 Tm [ (HOPE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 129.634 342.432 Tm [ (and) ] TJ /F164 8.9664 Tf 0.98 0 0 1 144.516 342.432 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 0.98 0 0 1 171.132 342.432 Tm [ (\054) -189 (ar) 9 (e) -189 (close) -7 (d\055form\073) -189 (the) -188 (r) 8 (e) 7 (v) 8 (erse) -188 (is) -189 (not) ] TJ 0.98 0 0 1 56.633 331.473 Tm [ (always) -207 (the) -206 (case) 10 (\054) -206 (as) -207 (some) -206 (close) -8 (d\055form) -206 (metho) -7 (ds) -207 (abandon) -206 (guarante) -7 (es) ] TJ 0.98 0 0 1 56.633 320.514 Tm [ (for) -246 (sake) -245 (of) -246 (scalability\072) ] TJ /F164 8.9664 Tf 0.98 0 0 1 137.04 320.514 Tm [ (AROPE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 166.28 320.514 Tm [ (by) -246 (sp) -7 (e) -7 (ctral) -246 (\033ltering\054) ] TJ /F164 8.9664 Tf 0.98 0 0 1 240.48 320.514 Tm [ (Appro) 26 (xPPR) ] TJ /F147 8.9664 Tf 0.98 0 0 1 285.421 320.514 Tm [ (by) ] TJ 1 0 0 1 56.633 309.555 Tm [ (truncating\054) -250 (and) ] TJ /F164 8.9664 Tf 58.281 0 Td [ (NetSMF) ] TJ /F147 8.9664 Tf 33.75 0 Td [ (by) -250 (sparsifying) -250 (the) -250 (similarity) -250 (matrix\056) ] TJ 0 g 0 G /F265 8.9664 Tf -92.031 -10.959 Td [ <0f> ] TJ 0 g 0 G /F151 8.9664 Tf 8.504 0 Td [ (v) 8 (ersatile\072) ] TJ /F147 8.9664 Tf 1.006 0 0 1 104.341 298.596 Tm [ (accommo) -7 (dating) -250 (div) 8 (erse) -250 (similarity) -249 (measur) 7 (es\073) ] TJ /F164 8.9664 Tf 1.006 0 0 1 270.226 298.596 Tm [ (HOPE) ] TJ /F147 8.9664 Tf 1.006 0 0 1 293.047 298.596 Tm [ (\054) ] TJ /F164 8.9664 Tf 1 0 0 1 56.319 287.638 Tm [ (AROPE) ] TJ /F147 8.9664 Tf 27.635 0 Td [ (\054) ] TJ /F164 8.9664 Tf 4.214 0 Td [ (VERSE) ] TJ /F147 8.9664 Tf 25.446 0 Td [ (\054) ] TJ /F164 8.9664 Tf 4.215 0 Td [ (NetMF) ] TJ /F147 8.9664 Tf 29.4 0 Td [ (\046) ] TJ /F164 8.9664 Tf 8.563 0 Td [ (NetSMF) ] TJ /F147 8.9664 Tf 31.508 0 Td [ (\054) -250 (and) ] TJ /F164 8.9664 Tf 19.95 0 Td [ (STRAP) ] TJ /F147 8.9664 Tf 28.289 0 Td [ (ar) 8 (e) -250 (v) 8 (ersatile) 10 (\056) ] TJ 0 g 0 G /F265 8.9664 Tf -178.906 -10.959 Td [ <0f> ] TJ 0 g 0 G /F151 8.9664 Tf 8.504 0 Td [ (frugal) ] TJ /F147 8.9664 Tf 1.02 0 0 1 93.04 276.679 Tm [ (\050) 12 (space\055e\034cient\051) ] TJ /F151 8.9664 Tf 1 0 0 1 151.968 276.679 Tm [ (\072) ] TJ /F147 8.9664 Tf 1.02 0 0 1 157.34 276.679 Tm [ (having) -336 (w) 8 (orst\055case) -337 (space) -336 (comple) 7 (xity) ] TJ 1 0 0 1 56.633 265.72 Tm [ (sub) -10 (quadratic) -250 (in) -250 (the) -250 (numb) -10 (er) -250 (of) -250 (no) -7 (des\056) ] TJ 0 g 0 G /F265 8.9664 Tf 0 -10.959 Td [ <0f> ] TJ 0 g 0 G /F151 8.9664 Tf 8.504 0 Td [ (anytime\072) ] TJ /F147 8.9664 Tf 1.02 0 0 1 104.518 254.761 Tm [ (allo) 7 (wing) -374 (the) -375 (computation) -374 (of) -374 (a) ] TJ /F156 8.9664 Tf 1.02 0 0 1 224.905 254.761 Tm [ (partial) ] TJ /F147 8.9664 Tf 1.02 0 0 1 252.719 254.761 Tm [ (emb) -10 (e) -7 (dding) ] TJ 1 0 0 1 56.301 243.802 Tm [ (whose) -250 (quality) -250 (impr) 8 (o) 7 (v) 8 (es) -250 (as) -250 (mor) 8 (e) -250 (no) -7 (des) -250 (ar) 8 (e) -250 (pr) 8 (o) -7 (cesse) -7 (d\056) ] TJ 0 g 0 G /F265 8.9664 Tf 0.332 -10.959 Td [ <0f> ] TJ 0 g 0 G /F151 8.9664 Tf 8.504 0 Td [ (mergeable\072) ] TJ /F147 8.9664 Tf 0.997 0 0 1 111.767 232.843 Tm [ (allo) 7 (wing) -251 (for) -252 (a) -251 (combination) -251 (of) -252 (emb) -10 (e) -7 (ddings) -251 (on) -251 (tw) 8 (o) ] TJ 1.013 0 0 1 56.633 221.884 Tm [ (no) -7 (de) -247 (subsets) -248 (that) -247 (r) 8 (etains) -247 (guarante) -7 (es\054) -248 (hence) -247 (enabling) -247 (distribute) -7 (d) ] TJ 1 0 0 1 56.633 210.925 Tm [ (computation) -250 (\1332\135\056) ] TJ /F151 10.9091 Tf -2.835 -22.502 Td [ (2\0566) -1000 (Matrix) -250 (sketching) ] TJ /F147 8.9664 Tf 0.98 0 0 1 53.798 174.724 Tm [ (SVD) -210 (applie) -7 (d) -209 (on) -210 (a) -209 (matrix) ] TJ /F186 8.9664 Tf 0.98 0 0 1 142.327 174.724 Tm [ (M) ] TJ /F265 8.9664 Tf 1 0 0 1 152.369 174.724 Tm [ (2) ] TJ /F260 8.9664 Tf 7.476 0 Td [ (R) ] TJ /F271 7.2727 Tf 5.871 3.255 Td [ (s) ] TJ /F265 7.2727 Tf 3.6 0 Td [ <02> ] TJ /F271 7.2727 Tf 4.553 0 Td [ (t) ] TJ /F147 8.9664 Tf 0.98 0 0 1 179.634 174.724 Tm [ (\050) ] TJ /F194 8.9664 Tf 1 0 0 1 181.894 174.724 Tm [ (s) ] TJ /F147 8.9664 Tf 0.98 0 0 1 187.528 174.724 Tm [ (elements\054) ] TJ /F194 8.9664 Tf 1 0 0 1 223 174.724 Tm [ (t) ] TJ /F147 8.9664 Tf 0.98 0 0 1 228.446 174.724 Tm [ (featur) 8 (es\051) -209 (pr) 8 (o) -7 (duces) ] TJ /F265 8.9664 Tf 1 0 0 1 53.798 163.765 Tm [ (\273) ] TJ /F186 8.9664 Tf 1.02 0 0 1 56.784 163.765 Tm [ (M) ] TJ /F265 8.9664 Tf 1 0 0 1 64.457 163.765 Tm [ () ] TJ /F271 7.2727 Tf 2.877 -1.964 Td [ (k) ] TJ /F264 8.9664 Tf 8.753 1.964 Td [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 85.543 163.765 Tm [ (U) ] TJ /F271 7.2727 Tf 1 0 0 1 91.479 161.801 Tm [ (k) ] TJ /F252 8.9664 Tf 5.179 1.964 Td [ <06> ] TJ /F271 7.2727 Tf 5.217 -1.964 Td [ (k) ] TJ /F186 8.9664 Tf 1.02 0 0 1 106.875 163.765 Tm [ (V) ] TJ /F265 7.2727 Tf 1 0 0 1 112.838 167.02 Tm [ (\076) ] TJ /F271 7.2727 Tf -0.109 -7.136 Td [ (k) ] TJ /F147 8.9664 Tf 1.02 0 0 1 121.324 163.765 Tm [ (that) -307 (minimizes) -307 (r) 7 (e) -6 (construction) -308 (err) 8 (or\073) -307 (fr) 8 (om) -307 (the) ] TJ 0.98 0 0 1 53.798 151.473 Tm [ (same) -233 (SVD) -233 (w) 8 (e) -233 (can) -233 (also) -233 (obtain) ] TJ /F186 8.9664 Tf 0.98 0 0 1 160.399 151.473 Tm [ (W) ] TJ /F264 8.9664 Tf 1 0 0 1 171.246 151.473 Tm [ (\075) ] TJ /F252 8.9664 Tf 8.373 0 Td [ <06> ] TJ /F271 7.2727 Tf 5.217 -1.964 Td [ (k) ] TJ /F186 8.9664 Tf 0.98 0 0 1 189.836 151.473 Tm [ (V) ] TJ /F265 7.2727 Tf 1 0 0 1 195.565 154.728 Tm [ (\076) ] TJ /F271 7.2727 Tf -0.109 -7.136 Td [ (k) ] TJ /F147 8.9664 Tf 0.98 0 0 1 201.241 151.473 Tm [ (\054) -233 (which) -233 (minimizes) ] TJ /F156 8.9664 Tf 0.98 0 0 1 268.352 151.473 Tm [ (column) ] TJ 1 0 0 1 53.798 140.353 Tm [ (co) 7 (variance) -250 (err) 8 (or) ] TJ /F147 8.9664 Tf 57.161 0 Td [ (\054) -250 (dep) -7 (endent) -250 (on) -250 (the) -250 (singular) -250 (value) -250 (de) -7 (cay) -250 (of) ] TJ /F186 8.9664 Tf 157.297 0 Td [ (M) ] TJ /F147 8.9664 Tf 7.522 0 Td [ (\072) ] TJ 0 g 0 G /F164 8.9664 Tf 0.994 0 0 1 63.761 125.284 Tm [ (Definition) -252 (2) -253 (\050) 10 (Co) 10 (v) 71 (ariance) -253 (error\051\056) ] TJ 0 g 0 G /F156 8.9664 Tf 0.994 0 0 1 198.795 125.284 Tm [ (The) ] TJ /F147 8.9664 Tf 0.994 0 0 1 214.304 125.284 Tm [ (column) -253 (co) 7 (var) 1 (iance) -253 (er\055) ] TJ 1 0 0 1 53.798 114.325 Tm [ (r) 8 (or) ] TJ /F156 8.9664 Tf 13.36 0 Td [ (is) -250 (the) -250 (normalize) -7 (d) -250 (di\035er) 8 (ence) -250 (b) -10 (etw) 8 (e) -7 (en) -250 (the) -250 (co) 7 (variance) -250 (matrices\072) ] TJ /F314 8.9664 Tf -13.36 -22.931 Td [ (ce) ] TJ /F271 7.2727 Tf 8.858 -1.964 Td [ (k) ] TJ /F265 8.9664 Tf 4.999 1.964 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (M) ] TJ /F196 8.9664 Tf 7.433 0 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F265 8.9664 Tf 8.527 0 Td [ () ] TJ /F264 8.9664 Tf 5.477 0 Td [ (\075) ] TJ /F265 8.9664 Tf 9.837 6.071 Td [ (k) ] TJ /F186 8.9664 Tf 4.035 0 Td [ (M) ] TJ /F265 7.2727 Tf 7.523 3.254 Td [ (\076) ] TJ /F186 8.9664 Tf 5.676 -3.254 Td [ (M) ] TJ /F265 8.9664 Tf 9.515 0 Td [ <00> ] TJ /F186 8.9664 Tf 7.695 0 Td [ (W) ] TJ /F265 7.2727 Tf 8.527 3.254 Td [ (\076) ] TJ /F186 8.9664 Tf 5.677 -3.254 Td [ (W) ] TJ /F265 8.9664 Tf 8.975 0 Td [ (k) ] TJ /F186 7.2727 Tf 3.586 -1.345 Td [ (2) ] TJ ET q 1 0 0 1 105.203 93.699 cm [ ] 0 d 0 J 0.502 w 0 0 m 65.538 0 l S Q BT /F265 8.9664 Tf 113.707 84.28 Td [ (k) ] TJ /F186 8.9664 Tf 4.035 0 Td [ (M) ] TJ /F265 8.9664 Tf 9.515 0 Td [ <00> -222 (\273) ] TJ /F186 8.9664 Tf 10.681 0 Td [ (M) ] TJ /F265 8.9664 Tf 7.523 0 Td [ () ] TJ /F271 7.2727 Tf 2.876 -1.964 Td [ (k) ] TJ /F265 8.9664 Tf 5.449 1.964 Td [ (k) ] TJ /F186 7.2727 Tf 4.034 3.185 Td [ (2) ] TJ /F271 7.2727 Tf -0.266 -6.779 Td [ (F) ] TJ /F265 8.9664 Tf 17.142 10.708 Td [ <15> ] TJ 10.106 6.071 Td [ (k) ] TJ /F186 8.9664 Tf 4.035 0 Td [ (M) ] TJ /F265 7.2727 Tf 7.522 3.254 Td [ (\076) ] TJ /F186 8.9664 Tf 5.677 -3.254 Td [ (M) ] TJ /F265 8.9664 Tf 9.515 0 Td [ <00> ] TJ /F186 8.9664 Tf 7.695 0 Td [ (W) ] TJ /F265 7.2727 Tf 8.527 3.254 Td [ (\076) ] TJ /F186 8.9664 Tf 5.676 -3.254 Td [ (W) ] TJ /F265 8.9664 Tf 8.976 0 Td [ (k) ] TJ /F186 7.2727 Tf 3.586 -1.345 Td [ (2) ] TJ ET q 1 0 0 1 184.353 93.699 cm [ ] 0 d 0 J 0.502 w 0 0 m 65.538 0 l S Q BT /F265 8.9664 Tf 206.894 84.28 Td [ (k) ] TJ /F186 8.9664 Tf 4.035 0 Td [ (M) ] TJ /F265 8.9664 Tf 7.971 0 Td [ (k) ] TJ /F186 7.2727 Tf 4.035 3.185 Td [ (2) ] TJ /F271 7.2727 Tf -0.267 -6.779 Td [ (F) ] TJ /F264 8.9664 Tf 30.909 10.708 Td [ (\075) ] TJ /F314 8.9664 Tf 8.194 0 Td [ (ce) ] TJ /F265 8.9664 Tf 8.966 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (M) ] TJ /F196 8.9664 Tf 7.433 0 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F265 8.9664 Tf 8.527 0 Td [ () ] TJ 0 g 0 G 0 g 0 G /F156 8.9664 Tf 0.98 0 0 1 327.918 484.898 Tm [ (Matrix) -183 (sketching) ] TJ /F147 8.9664 Tf 0.98 0 0 1 387.999 484.898 Tm [ (\133) ] TJ 1 0 0 1 391.127 484.898 Tm [ (6) ] TJ 0.98 0 0 1 395.297 484.898 Tm [ (\054) ] TJ 1 0 0 1 398.839 484.898 Tm [ (7) ] TJ 0.98 0 0 1 403.009 484.898 Tm [ (\054) ] TJ 1 0 0 1 406.551 484.898 Tm [ (18) ] TJ 0.98 0 0 1 414.89 484.898 Tm [ (\054) ] TJ 1 0 0 1 418.433 484.898 Tm [ (38) ] TJ 0.98 0 0 1 426.771 484.898 Tm [ (\135) -183 (is) -183 (an) -183 (alternativ) 8 (e) -183 (to) -184 (the) -183 (computation\055) ] TJ 0.99 0 0 1 317.955 473.939 Tm [ (ally) -252 (heav) -16 (y) -252 (matrix) -253 (r) 8 (e) -7 (construction) -252 (by) -253 (SVD) -252 (gr) 8 (ounde) -7 (d) -252 (on) -253 (the) -252 (conne) -7 (c\055) ] TJ 0.982 0 0 1 317.955 462.98 Tm [ (tion) -255 (b) -11 (etw) 9 (e) -8 (en) -255 (SVD) -255 (and) -256 (co) 7 (variance) -255 (err) 8 (or\073) -255 (it) -256 (\033nds) -255 (a) -255 (lo) 7 (w\055dimensional) ] TJ 0.988 0 0 1 317.955 452.021 Tm [ (matrix\054) -253 (or) ] TJ /F156 8.9664 Tf 0.988 0 0 1 356.036 452.021 Tm [ (sketch) ] TJ /F147 8.9664 Tf 0.988 0 0 1 377.784 452.021 Tm [ (\054) ] TJ /F186 8.9664 Tf 0.988 0 0 1 381.977 452.021 Tm [ (W) ] TJ /F265 8.9664 Tf 1 0 0 1 393.078 452.021 Tm [ (2) ] TJ /F260 8.9664 Tf 7.482 0 Td [ (R) ] TJ /F271 7.2727 Tf 5.799 3.255 Td [ (d) ] TJ /F265 7.2727 Tf 4.64 0 Td [ <02> ] TJ /F271 7.2727 Tf 4.552 0 Td [ (t) ] TJ /F147 8.9664 Tf 0.988 0 0 1 421.719 452.021 Tm [ (of) ] TJ /F186 8.9664 Tf 0.988 0 0 1 431.174 452.021 Tm [ (M) ] TJ /F147 8.9664 Tf 0.988 0 0 1 438.607 452.021 Tm [ (\054) -253 (by) ] TJ /F156 8.9664 Tf 0.988 0 0 1 453.974 452.021 Tm [ (r) 8 (o) 7 (w\055wise) ] TJ /F147 8.9664 Tf 0.988 0 0 1 487.681 452.021 Tm [ (str) 8 (eaming) -253 (and) -254 (with) ] TJ 0.98 0 0 1 317.955 441.062 Tm [ (guarante) -7 (es) -209 (on) ] TJ /F156 8.9664 Tf 0.98 0 0 1 370.067 441.062 Tm [ (column) -209 (co) 7 (variance) ] TJ /F147 8.9664 Tf 0.98 0 0 1 436.674 441.062 Tm [ (err) 8 (or) 60 (\054) -209 (which) -209 (accounts) -209 (for) -209 (variance) ] TJ 1.012 0 0 1 317.955 430.103 Tm [ (loss) -248 (in) -247 (each) -248 (dimension\056) -247 (The) -248 (corr) 8 (e) -7 (ct) ] TJ /F194 8.9664 Tf 1 0 0 1 450.506 430.103 Tm [ (k) ] TJ /F147 8.9664 Tf 1.012 0 0 1 457.783 430.103 Tm [ (for) -248 (the) -247 (b) -10 (est) -248 (rank) ] TJ /F194 8.9664 Tf 1 0 0 1 521.088 430.103 Tm [ (k) ] TJ /F147 8.9664 Tf 1.012 0 0 1 528.365 430.103 Tm [ (appr) 8 (o) 7 (xi\055) ] TJ 1.016 0 0 1 317.955 419.144 Tm [ (mation) ] TJ /F265 8.9664 Tf 1 0 0 1 346.433 419.144 Tm [ (\273) ] TJ /F186 8.9664 Tf 1.016 0 0 1 349.419 419.144 Tm [ (M) ] TJ /F265 8.9664 Tf 1 0 0 1 357.062 419.144 Tm [ () ] TJ /F271 7.2727 Tf 2.877 -1.964 Td [ (k) ] TJ /F147 8.9664 Tf 1.016 0 0 1 367.18 419.144 Tm [ (is) -246 (not) -246 (kno) 7 (wn) -246 (and) -246 (often) -246 (r) 7 (e) -6 (quir) 7 (es) -246 (grid) -246 (sear) 8 (ch\056) -246 (Hence) 10 (\054) ] TJ 1 0 0 1 317.623 408.185 Tm [ (w) 8 (e) -250 (use) -250 (the) -250 (lo) 7 (w) 8 (er) -250 (b) -10 (ound) ] TJ /F314 8.9664 Tf 89.754 0 Td [ (ce) ] TJ /F265 8.9664 Tf 8.966 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (M) ] TJ /F196 8.9664 Tf 7.433 0 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F265 8.9664 Tf 8.527 0 Td [ () ] TJ /F147 8.9664 Tf 5.227 0 Td [ (in) -250 (lieu) -250 (of) ] TJ /F314 8.9664 Tf 34.88 0 Td [ (ce) ] TJ /F271 7.2727 Tf 8.857 -1.963 Td [ (k) ] TJ /F265 8.9664 Tf 5 1.963 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (M) ] TJ /F196 8.9664 Tf 7.433 0 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F265 8.9664 Tf 8.527 0 Td [ () ] TJ /F147 8.9664 Tf 2.986 0 Td [ (\056) ] TJ -190.739 -10.958 Td [ (A) -250 (desirable) -250 (sketch) -250 (pr) 8 (op) -7 (erty) -250 (is) ] TJ /F156 8.9664 Tf 111.604 0 Td [ (mergeability) ] TJ /F147 8.9664 Tf 45.348 0 Td [ (\072) ] TJ 0 g 0 G /F164 8.9664 Tf 1.017 0 0 1 327.918 381.994 Tm [ (Definition) -246 (3\056) ] TJ 0 g 0 G /F151 8.9664 Tf 1 0 0 1 385.256 381.994 Tm [ (Mergeability) 59 (\056) ] TJ /F156 8.9664 Tf 1.017 0 0 1 440.798 381.994 Tm [ (A) -246 (sketching) -247 (alg) 1 (orithm) ] TJ /F314 8.9664 Tf 1 0 0 1 523.321 381.994 Tm [ (sketch) ] TJ /F156 8.9664 Tf 1.017 0 0 1 552.466 381.994 Tm [ (is) ] TJ /F147 8.9664 Tf 1.02 0 0 1 317.955 371.035 Tm [ (mergeable) ] TJ /F156 8.9664 Tf 1.02 0 0 1 359.285 371.035 Tm [ (if) -302 (ther) 8 (e) -302 (e) 7 (xists) -302 (an) -303 (algorithm) ] TJ /F314 8.9664 Tf 1 0 0 1 461.329 371.035 Tm [ (merge) ] TJ /F156 8.9664 Tf 1.02 0 0 1 486.508 371.035 Tm [ (that\054) -302 (applie) -7 (d) -302 (on) -302 (the) ] TJ /F194 8.9664 Tf 1 0 0 1 317.507 360.076 Tm [ (d) ] TJ /F265 8.9664 Tf 7.41 0 Td [ <02> ] TJ /F194 8.9664 Tf 7.741 0 Td [ (t) ] TJ /F156 8.9664 Tf 1.02 0 0 1 338.909 360.076 Tm [ (sketches\054) ] TJ /F186 8.9664 Tf 1.02 0 0 1 372.908 360.076 Tm [ (W) ] TJ /F186 7.2727 Tf 1 0 0 1 381.605 358.731 Tm [ (1) ] TJ /F264 8.9664 Tf 7.272 1.345 Td [ (\075) ] TJ /F314 8.9664 Tf 9.093 0 Td [ (sketch) ] TJ /F265 8.9664 Tf 26.899 0 Td [ () ] TJ /F186 8.9664 Tf 1.02 0 0 1 427.855 360.076 Tm [ (M) ] TJ /F186 7.2727 Tf 1 0 0 1 435.528 358.731 Tm [ (1) ] TJ /F265 8.9664 Tf 3.88 1.345 Td [ () ] TJ /F156 8.9664 Tf 1.02 0 0 1 445.041 360.076 Tm [ (and) ] TJ /F186 8.9664 Tf 1.02 0 0 1 461.342 360.076 Tm [ (W) ] TJ /F186 7.2727 Tf 1 0 0 1 470.04 358.731 Tm [ (2) ] TJ /F264 8.9664 Tf 7.271 1.345 Td [ (\075) ] TJ /F314 8.9664 Tf 9.094 0 Td [ (sketch) ] TJ /F265 8.9664 Tf 26.899 0 Td [ () ] TJ /F186 8.9664 Tf 1.02 0 0 1 516.29 360.076 Tm [ (M) ] TJ /F186 7.2727 Tf 1 0 0 1 523.963 358.731 Tm [ (2) ] TJ /F265 8.9664 Tf 3.88 1.345 Td [ () ] TJ /F156 8.9664 Tf 1.02 0 0 1 530.829 360.076 Tm [ (\054) -289 (of) -290 (tw) 8 (o) ] TJ /F271 7.2727 Tf 1 0 0 1 319.042 352.65 Tm [ (s) ] TJ ET q 1 0 0 1 319.151 351.421 cm [ ] 0 d 0 J 0.502 w 0 0 m 3.491 0 l S Q BT /F186 7.2727 Tf 319.205 346.023 Td [ (2) ] TJ /F265 8.9664 Tf 6.622 3.094 Td [ <02> ] TJ /F194 8.9664 Tf 7.38 0 Td [ (t) ] TJ /F156 8.9664 Tf 1.011 0 0 1 339.052 349.117 Tm [ (matrices\054) ] TJ /F186 8.9664 Tf 1.011 0 0 1 373.664 349.117 Tm [ (M) ] TJ /F186 7.2727 Tf 1 0 0 1 381.269 347.772 Tm [ (1) ] TJ /F156 8.9664 Tf 1.011 0 0 1 385.149 349.117 Tm [ (\054) ] TJ /F186 8.9664 Tf 1.011 0 0 1 389.375 349.117 Tm [ (M) ] TJ /F186 7.2727 Tf 1 0 0 1 396.981 347.772 Tm [ (2) ] TJ /F156 8.9664 Tf 1.011 0 0 1 400.861 349.117 Tm [ (\054) -247 (with) ] TJ /F314 8.9664 Tf 1 0 0 1 423.554 349.117 Tm [ (ce) ] TJ /F265 8.9664 Tf 8.966 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (M) ] TJ /F186 7.2727 Tf 7.523 -1.345 Td [ (1) ] TJ /F196 8.9664 Tf 3.79 1.345 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (1) ] TJ /F265 8.9664 Tf 3.88 1.345 Td [ () -308 <14> ] TJ /F190 8.9664 Tf 13.894 0 Td [ <0f> ] TJ /F156 8.9664 Tf 1.011 0 0 1 483.607 349.117 Tm [ (and) ] TJ /F314 8.9664 Tf 1 0 0 1 499.382 349.117 Tm [ (ce) ] TJ /F265 8.9664 Tf 8.966 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (M) ] TJ /F186 7.2727 Tf 7.523 -1.345 Td [ (2) ] TJ /F196 8.9664 Tf 3.79 1.345 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 1.345 Td [ () -308 <14> ] TJ /F190 8.9664 Tf 13.894 0 Td [ <0f> ] TJ /F156 8.9664 Tf 1.011 0 0 1 557.194 349.117 Tm [ (\054) ] TJ 0.984 0 0 1 317.955 338.158 Tm [ (pr) 8 (o) -7 (duces) -254 (a) ] TJ /F194 8.9664 Tf 1 0 0 1 356.67 338.158 Tm [ (d) ] TJ /F265 8.9664 Tf 7.046 0 Td [ <02> ] TJ /F194 8.9664 Tf 7.378 0 Td [ (t) ] TJ /F156 8.9664 Tf 0.984 0 0 1 376.939 338.158 Tm [ (sketch) ] TJ /F186 8.9664 Tf 0.984 0 0 1 400.84 338.158 Tm [ (W) ] TJ /F156 8.9664 Tf 0.984 0 0 1 411.471 338.158 Tm [ (of) -254 (the) -254 (concatenate) -7 (d) -254 (matrix) ] TJ /F186 8.9664 Tf 0.984 0 0 1 507.048 338.158 Tm [ (M) ] TJ /F264 8.9664 Tf 1 0 0 1 516.941 338.158 Tm [ (\075) ] TJ /F265 8.9664 Tf 8.193 0 Td [ (\273) ] TJ /F186 8.9664 Tf 0.984 0 0 1 528.12 338.158 Tm [ (M) ] TJ /F186 7.2727 Tf 1 0 0 1 535.522 336.813 Tm [ (1) ] TJ /F186 8.9664 Tf 0.984 0 0 1 539.402 338.158 Tm [ (\073) -169 (M) ] TJ /F186 7.2727 Tf 1 0 0 1 550.381 336.813 Tm [ (2) ] TJ /F265 8.9664 Tf 3.88 1.345 Td [ () ] TJ /F156 8.9664 Tf 0.984 0 0 1 557.247 338.158 Tm [ (\054) ] TJ /F186 8.9664 Tf 1 0 0 1 317.525 327.199 Tm [ (W) ] TJ /F264 8.9664 Tf 11.017 0 Td [ (\075) ] TJ /F314 8.9664 Tf 8.194 0 Td [ (merge) ] TJ /F265 8.9664 Tf 22.416 0 Td [ () ] TJ /F186 8.9664 Tf 2.985 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (1) ] TJ /F196 8.9664 Tf 3.791 1.345 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 1.345 Td [ () ] TJ /F264 8.9664 Tf 5.476 0 Td [ (\075) ] TJ /F314 8.9664 Tf 8.193 0 Td [ (sketch) ] TJ /F265 8.9664 Tf 26.9 0 Td [ () ] TJ /F186 8.9664 Tf 2.985 0 Td [ (M) ] TJ /F265 8.9664 Tf 7.523 0 Td [ () ] TJ /F156 8.9664 Tf 0.98 0 0 1 444.661 327.199 Tm [ (\054) -214 (that) -214 (pr) 8 (eser) -15 (v) 8 (es) -214 (the) -214 (co) 7 (variance) -214 (er\055) ] TJ 1 0 0 1 317.955 316.24 Tm [ (r) 8 (or) -250 (b) -10 (ound) ] TJ /F190 8.9664 Tf 36.592 0 Td [ <0f> ] TJ /F156 8.9664 Tf 4.51 0 Td [ (\054) -250 (i\056e) 10 (\056\054) ] TJ /F314 8.9664 Tf 18.318 0 Td [ (ce) ] TJ /F265 8.9664 Tf 8.967 0 Td [ () ] TJ /F186 8.9664 Tf 2.985 0 Td [ (M) ] TJ /F196 8.9664 Tf 7.434 0 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F265 8.9664 Tf 8.527 0 Td [ () -308 <14> ] TJ /F190 8.9664 Tf 13.893 0 Td [ <0f> ] TJ /F156 8.9664 Tf 4.51 0 Td [ (\056) ] TJ /F147 8.9664 Tf -99.509 -16.667 Td [ (W) 80 (e) -250 (no) 7 (w) -250 (discuss) -250 (some) -250 (r) 8 (epr) 8 (esentativ) 8 (e) -250 (sketching) -250 (algorithms\056) ] TJ /F151 8.9664 Tf -9.963 -10.959 Td [ (Hashing\056) ] TJ /F147 8.9664 Tf 1.02 0 0 1 356.728 288.614 Tm [ (W) 78 (e) -247 (construct) -247 (a) -247 (2\055univ) 7 (ersal) -247 (hash) -247 (function) ] TJ /F194 8.9664 Tf 1 0 0 1 511.988 288.614 Tm [ (h) ] TJ /F186 8.9664 Tf 7.458 0 Td [ (\072) ] TJ /F265 8.9664 Tf 4.607 0 Td [ (\273) ] TJ /F194 8.9664 Tf 2.627 0 Td [ (s) ] TJ /F265 8.9664 Tf 3.793 0 Td [ () -278 (\041) -278 (\273) ] TJ /F194 8.9664 Tf 19.686 0 Td [ (d) ] TJ /F265 8.9664 Tf 5.057 0 Td [ () ] TJ /F147 8.9664 Tf 0.981 0 0 1 317.955 277.656 Tm [ (and) -255 (a) -256 (4\055univ) 8 (ersal) -255 (hash) -255 (function) ] TJ /F190 8.9664 Tf 1 0 0 1 433.364 277.656 Tm [ (g) ] TJ /F186 8.9664 Tf 7.18 0 Td [ (\072) ] TJ /F265 8.9664 Tf 4.607 0 Td [ (\273) ] TJ /F194 8.9664 Tf 2.627 0 Td [ (s) ] TJ /F265 8.9664 Tf 3.793 0 Td [ () -278 (\041) -303 (f) -25 <00> ] TJ /F186 8.9664 Tf 26.984 0 Td [ (1) ] TJ /F196 8.9664 Tf 4.08 0 Td [ (\073) ] TJ /F264 8.9664 Tf 3.736 0 Td [ (\053) ] TJ /F186 8.9664 Tf 5.703 0 Td [ (1) ] TJ /F265 8.9664 Tf 4.393 0 Td [ (g) ] TJ /F147 8.9664 Tf 0.981 0 0 1 500.376 277.656 Tm [ (\056) -255 (Starting) -256 (with) -255 (a) ] TJ 1.009 0 0 1 317.955 266.697 Tm [ (zer) 8 (o\055value) -7 (d) -247 (sketch) -248 (matrix) ] TJ /F186 8.9664 Tf 1.009 0 0 1 416.161 266.697 Tm [ (W) ] TJ /F147 8.9664 Tf 1.009 0 0 1 424.765 266.697 Tm [ (\054) -247 (each) -248 (r) 8 (o) 7 (w) ] TJ /F186 8.9664 Tf 1.009 0 0 1 464.936 266.697 Tm [ (M) ] TJ /F271 7.2727 Tf 1 0 0 1 472.417 265.352 Tm [ (i) ] TJ /F147 8.9664 Tf 1.009 0 0 1 478.062 266.697 Tm [ (is) -247 (adde) -7 (d) -248 (to) -247 (the) ] TJ /F194 8.9664 Tf 1 0 0 1 533.753 266.697 Tm [ (h) ] TJ /F265 8.9664 Tf 4.967 0 Td [ () ] TJ /F194 8.9664 Tf 2.627 0 Td [ (i) ] TJ /F265 8.9664 Tf 3.085 0 Td [ () ] TJ /F147 8.9664 Tf 1.009 0 0 1 547.418 266.697 Tm [ (\055th) ] TJ 1.02 0 0 1 317.955 255.738 Tm [ (sketch) -327 (matrix) -326 (r) 8 (o) 6 (w) -326 (with) -327 (sign) ] TJ /F190 8.9664 Tf 1 0 0 1 428.567 255.738 Tm [ (g) ] TJ /F265 8.9664 Tf 4.69 0 Td [ () ] TJ /F194 8.9664 Tf 2.627 0 Td [ (i) ] TJ /F265 8.9664 Tf 3.084 0 Td [ () ] TJ /F147 8.9664 Tf 1.02 0 0 1 441.954 255.738 Tm [ (\072) ] TJ /F186 8.9664 Tf 1.02 0 0 1 447.102 255.738 Tm [ (W) ] TJ /F271 7.2727 Tf 1 0 0 1 455.654 253.756 Tm [ (h) ] TJ /F265 7.2727 Tf 4.531 0 Td [ () ] TJ /F271 7.2727 Tf 2.313 0 Td [ (i) ] TJ /F265 7.2727 Tf 2.909 0 Td [ () ] TJ /F264 8.9664 Tf 7.068 1.982 Td [ (\075) ] TJ /F190 8.9664 Tf 9.402 0 Td [ (g) ] TJ /F265 8.9664 Tf 4.689 0 Td [ () ] TJ /F194 8.9664 Tf 2.627 0 Td [ (i) ] TJ /F265 8.9664 Tf 3.085 0 Td [ () -296 <03> ] TJ /F186 8.9664 Tf 1.02 0 0 1 504.797 255.738 Tm [ (M) ] TJ /F271 7.2727 Tf 1 0 0 1 512.362 254.393 Tm [ (i) ] TJ /F147 8.9664 Tf 1.02 0 0 1 515.769 255.738 Tm [ (\054) -327 (with) -326 (com\055) ] TJ 0.983 0 0 1 317.955 244.779 Tm [ (ple) 7 (xity) -254 (linear) -253 (in) -254 (matrix) -254 (size) 11 (\054) ] TJ /F265 8.9664 Tf 1 0 0 1 421.189 244.779 Tm [ (O) -51 () ] TJ /F194 8.9664 Tf 9.387 0 Td [ (s) -35 (t) ] TJ /F265 8.9664 Tf 7.084 0 Td [ () ] TJ /F147 8.9664 Tf 0.983 0 0 1 440.646 244.779 Tm [ (\056) -254 (In) -253 (practice) 10 (\054) -254 (random) -253 (assignment) ] TJ 1.02 0 0 1 317.955 233.82 Tm [ (of) -329 (r) 8 (o) 7 (ws) -328 (is) -329 (use) -7 (d) -328 (instead) -329 (of) -328 (a) -329 (hash) -328 (function\056) -329 (Setting) ] TJ /F194 8.9664 Tf 1 0 0 1 512.346 233.82 Tm [ (d) ] TJ /F264 8.9664 Tf 7.547 0 Td [ (\075) ] TJ /F265 8.9664 Tf 8.418 0 Td [ (O) -51 () ] TJ /F271 7.2727 Tf 9.673 1.106 Td [ (t) ] TJ /F186 5.4795 Tf 3.426 2.64 Td [ (2) ] TJ /F265 8.9664 Tf 2.05 -3.746 Td [ (\235) ] TJ /F267 7.2727 Tf 3.553 0 Td [ <0f> ] TJ /F186 5.4795 Tf 4.131 2.64 Td [ (2) ] TJ /F265 8.9664 Tf 3.046 -2.64 Td [ () ] TJ /F147 8.9664 Tf 1.02 0 0 1 557.176 233.82 Tm [ (\054) ] TJ 1.02 0 0 1 317.955 222.861 Tm [ (hashing) -301 (achie) 7 (v) 7 (es) ] TJ /F314 8.9664 Tf 1 0 0 1 384.707 222.861 Tm [ (ce) ] TJ /F265 8.9664 Tf 11.726 0 Td [ <14> ] TJ /F190 8.9664 Tf 8.149 0 Td [ <0f> ] TJ /F147 8.9664 Tf 1.02 0 0 1 411.847 222.861 Tm [ (\133) ] TJ 1 0 0 1 415.103 222.861 Tm [ (38) ] TJ 1.02 0 0 1 423.442 222.861 Tm [ (\135\056) -302 (This) -301 (sketch) -301 (is) -301 (trivially) -301 (mergeable\072) ] TJ /F314 8.9664 Tf 1 0 0 1 317.955 211.902 Tm [ (merge) ] TJ /F265 8.9664 Tf 22.416 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (1) ] TJ /F196 8.9664 Tf 3.79 1.345 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 1.345 Td [ () ] TJ /F264 8.9664 Tf 5.477 0 Td [ (\075) ] TJ /F186 8.9664 Tf 8.193 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (1) ] TJ /F264 8.9664 Tf 5.872 1.345 Td [ (\053) ] TJ /F186 8.9664 Tf 7.695 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (2) ] TJ /F147 8.9664 Tf 3.88 1.345 Td [ (\056) ] TJ /F151 8.9664 Tf -102.033 -13.077 Td [ (Random) -289 (Pr) 8 (oje) -7 (ctions) ] TJ /F147 8.9664 Tf 1.02 0 0 1 403.645 198.825 Tm [ (ar) 8 (e) -284 (a) -284 (fundamental) -283 (data) -284 (analysis) -284 (to) -7 (ol) -284 (\133) ] TJ 1 0 0 1 545.976 198.825 Tm [ (38) ] TJ 1.02 0 0 1 554.315 198.825 Tm [ (\135\056) ] TJ 0.985 0 0 1 317.955 187.867 Tm [ (Boutsidis) -254 (et) -253 (al\056) -254 (\133) ] TJ 1 0 0 1 376.137 187.867 Tm [ (6) ] TJ 0.985 0 0 1 380.306 187.867 Tm [ (\135) -254 (pr) 9 (op) -8 (ose) -253 (a) -254 (r) 8 (o) 8 (w\055str) 8 (eaming) -254 (matrix) -253 (sketching) -254 (algo\055) ] TJ 0.994 0 0 1 317.955 176.908 Tm [ (rithm) -251 (that) -251 (randomly) -250 (combines) -251 (r) 8 (o) 7 (ws) -251 (of) -251 (the) -251 (input) -250 (matrix\056) -251 (In) -251 (matrix) ] TJ 1.02 0 0 1 317.955 165.676 Tm [ (form\054) ] TJ /F186 8.9664 Tf 1 0 0 1 342.94 167.689 Tm [ (\176) ] TJ -2.452 -2.013 Td [ (M) ] TJ /F264 8.9664 Tf 10.472 0 Td [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 359.613 165.676 Tm [ (RM) ] TJ /F147 8.9664 Tf 1.02 0 0 1 372.654 165.676 Tm [ (\054) -268 (wher) 8 (e) -268 (the) -267 (elements) ] TJ /F186 8.9664 Tf 1 0 0 1 452.935 165.676 Tm [ (R) ] TJ /F271 7.2727 Tf 5.154 -1.345 Td [ (i) -118 (j) ] TJ /F147 8.9664 Tf 1.02 0 0 1 466.875 165.676 Tm [ (of) -268 (the) ] TJ /F194 8.9664 Tf 1 0 0 1 490.667 165.676 Tm [ (d) ] TJ /F265 8.9664 Tf 7.233 0 Td [ <02> ] TJ /F194 8.9664 Tf 7.52 0 Td [ (s) ] TJ /F147 8.9664 Tf 1.02 0 0 1 511.661 165.676 Tm [ (matrix) ] TJ /F186 8.9664 Tf 1.02 0 0 1 538.766 165.676 Tm [ (R) ] TJ /F147 8.9664 Tf 1.02 0 0 1 546.604 165.676 Tm [ (ar) 8 (e) ] TJ 1.02 0 0 1 317.955 153.292 Tm [ (uniformly) -283 (fr) 8 (om) ] TJ /F265 8.9664 Tf 1 0 0 1 378.847 153.292 Tm [ (f) -25 <00> ] TJ /F186 8.9664 Tf 1.02 0 0 1 388.459 153.292 Tm [ (1) ] TJ /F265 8.9664 Tf 1 0 0 1 392.711 153.292 Tm [ (\235) ] TJ 4.125 7.61 Td [ (p) ] TJ ET q 1 0 0 1 403.139 161.153 cm [ ] 0 d 0 J 0.502 w 0 0 m 4.609 0 l S Q BT /F194 8.9664 Tf 402.691 153.292 Td [ (d) ] TJ /F196 8.9664 Tf 4.967 0 Td [ (\073) ] TJ /F186 8.9664 Tf 1.02 0 0 1 411.394 153.292 Tm [ (1) ] TJ /F265 8.9664 Tf 1 0 0 1 415.647 153.292 Tm [ (\235) ] TJ 4.125 7.61 Td [ (p) ] TJ ET q 1 0 0 1 426.075 161.153 cm [ ] 0 d 0 J 0.502 w 0 0 m 4.609 0 l S Q BT /F194 8.9664 Tf 425.627 153.292 Td [ (d) ] TJ /F265 8.9664 Tf 5.281 0 Td [ (g) ] TJ /F147 8.9664 Tf 1.02 0 0 1 434.817 153.292 Tm [ (\056) -283 (For) -284 (each) -283 (r) 8 (o) 7 (w) ] TJ /F186 8.9664 Tf 1.02 0 0 1 491.448 153.292 Tm [ (M) ] TJ /F271 7.2727 Tf 1 0 0 1 499.012 151.947 Tm [ (i) ] TJ /F147 8.9664 Tf 1.02 0 0 1 502.419 153.292 Tm [ (\054) -283 (the) -283 (algorithm) ] TJ 1.02 0 0 1 317.955 141.565 Tm [ (samples) -260 (a) -260 (random) -260 (v) 8 (e) -7 (ctor) ] TJ /F385 8.9664 Tf 1 0 0 1 413.879 141.565 Tm [ (r) ] TJ /F271 7.2727 Tf 3.486 -1.345 Td [ (i) ] TJ /F265 8.9664 Tf 6.382 1.345 Td [ (2) ] TJ /F260 8.9664 Tf 7.781 0 Td [ (R) ] TJ /F271 7.2727 Tf 5.799 3.255 Td [ (d) ] TJ /F147 8.9664 Tf 1.02 0 0 1 444.844 141.565 Tm [ (with) -260 (entries) -260 (in) ] TJ /F265 8.9664 Tf 1 0 0 1 502.231 141.565 Tm [ (f) -25 <00> ] TJ /F186 8.9664 Tf 1.02 0 0 1 511.843 141.565 Tm [ (1) ] TJ /F265 8.9664 Tf 1 0 0 1 516.096 141.565 Tm [ (\235) ] TJ 4.125 7.61 Td [ (p) ] TJ ET q 1 0 0 1 526.524 149.426 cm [ ] 0 d 0 J 0.502 w 0 0 m 4.609 0 l S Q BT /F194 8.9664 Tf 526.076 141.565 Td [ (d) ] TJ /F196 8.9664 Tf 4.967 0 Td [ (\073) ] TJ /F186 8.9664 Tf 1.02 0 0 1 534.779 141.565 Tm [ (1) ] TJ /F265 8.9664 Tf 1 0 0 1 539.032 141.565 Tm [ (\235) ] TJ 4.124 7.61 Td [ (p) ] TJ ET q 1 0 0 1 549.46 149.426 cm [ ] 0 d 0 J 0.502 w 0 0 m 4.609 0 l S Q BT /F194 8.9664 Tf 549.011 141.565 Td [ (d) ] TJ /F265 8.9664 Tf 5.281 0 Td [ (g) ] TJ /F147 8.9664 Tf 1.02 0 0 1 317.955 130.606 Tm [ (and) -312 (up) -7 (dates) ] TJ /F186 8.9664 Tf 1.02 0 0 1 366.447 130.606 Tm [ (W) ] TJ /F264 8.9664 Tf 1 0 0 1 378.998 130.606 Tm [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 388.554 130.606 Tm [ (W) ] TJ /F264 8.9664 Tf 1 0 0 1 399.789 130.606 Tm [ (\053) ] TJ /F385 8.9664 Tf 8.24 0 Td [ (r) ] TJ /F271 7.2727 Tf 3.486 -1.345 Td [ (i) ] TJ /F186 8.9664 Tf 1.02 0 0 1 414.923 130.606 Tm [ (M) ] TJ /F265 7.2727 Tf 1 0 0 1 422.596 133.861 Tm [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.467 Td [ (i) ] TJ /F147 8.9664 Tf 1.02 0 0 1 428.272 130.606 Tm [ (\056) -313 (This) -312 (sketch) -312 (achie) 7 (v) 8 (es) ] TJ /F314 8.9664 Tf 1 0 0 1 513.842 130.606 Tm [ (ce) ] TJ /F265 8.9664 Tf 11.726 0 Td [ <14> ] TJ /F190 8.9664 Tf 8.148 0 Td [ <0f> ] TJ /F147 8.9664 Tf 1.02 0 0 1 541.081 130.606 Tm [ (with) ] TJ /F194 8.9664 Tf 1 0 0 1 317.507 119.647 Tm [ (d) ] TJ /F264 8.9664 Tf 9.615 0 Td [ (\075) ] TJ /F265 8.9664 Tf 10.484 0 Td [ (O) -51 () ] TJ /F271 7.2727 Tf 9.674 1.106 Td [ (t) ] TJ /F265 8.9664 Tf 2.429 -1.106 Td [ (\235) ] TJ /F267 7.2727 Tf 3.554 0 Td [ <0f> ] TJ /F186 5.4795 Tf 4.131 2.64 Td [ (2) ] TJ /F265 8.9664 Tf 3.046 -2.64 Td [ () ] TJ /F147 8.9664 Tf 1.02 0 0 1 363.426 119.647 Tm [ (\054) -347 (with) -347 (practical) -347 (p) -6 (erformance) -347 (e) 7 (xce) -7 (e) -7 (ding) -347 (the) -347 (guaran\055) ] TJ 1 0 0 1 317.955 108.688 Tm [ (te) -7 (e) -250 (\13317\135\054) -250 (and) -250 (is) -250 (mergeable) -250 (with) ] TJ /F314 8.9664 Tf 115.074 0 Td [ (merge) ] TJ /F265 8.9664 Tf 22.416 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td 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0 Td [ (\075) ] TJ /F314 8.9664 Tf 8.193 0 Td [ (FD) ] TJ /F265 8.9664 Tf 8.967 0 Td [ () ] TJ /F314 8.9664 Tf 2.985 0 Td [ (concatenate) ] TJ /F265 8.9664 Tf 49.315 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (1) ] TJ /F196 8.9664 Tf 3.791 1.345 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.345 Td [ (2) ] TJ /F265 8.9664 Tf 3.879 1.345 Td [ () ] TJ /F196 8.9664 Tf 6.116 0 Td [ (\072) ] TJ /F147 8.9664 Tf 28.626 0 Td [ (\0502\051) ] TJ 1.02 0 0 1 63.761 509.024 Tm [ (The) -298 (table) -297 (b) -10 (elo) 7 (w) -298 (lists) -297 (the) -298 (emb) -9 (e) -7 (dding) -298 (dimension) ] TJ /F194 8.9664 Tf 1 0 0 1 244.52 509.024 Tm [ (d) ] TJ /F147 8.9664 Tf 1.02 0 0 1 252.299 509.024 Tm [ (r) 8 (e) -7 (quir) 8 (e) -7 (d) -298 (to) ] TJ 1 0 0 1 53.798 498.065 Tm [ (attain) -250 (err) 8 (or) -250 (b) -10 (ound) ] TJ /F314 8.9664 Tf 69.525 0 Td [ (ce) ] TJ /F265 8.9664 Tf 11.726 0 Td [ <14> ] TJ /F190 8.9664 Tf 8.149 0 Td [ <0f> ] TJ /F265 8.9664 Tf 7.27 0 Td [ <14> ] TJ /F186 8.9664 Tf 8.462 0 Td [ (1) ] TJ /F147 8.9664 Tf 6.411 0 Td [ (for) -250 (di\035er) 8 (ent) -250 (algorithms\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q 1 0 0 1 53.798 489.064 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q BT /F147 8.9664 Tf 54.795 478.515 Td [ (Algorithm) -3693 (Hashing) -2586 (RP) -2387 (Sampling) -2358 (FD) ] TJ ET q 1 0 0 1 53.798 473.453 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 8.9664 Tf 54.795 462.982 Td [ (Dimension) ] TJ /F194 8.9664 Tf 41.765 0 Td [ (d) ] TJ /F265 8.9664 Tf 28.88 0 Td [ (O) -51 () ] TJ /F194 8.9664 Tf 9.433 0 Td [ (t) ] TJ /F186 7.2727 Tf 3.604 3.255 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 -3.255 Td [ (\235) ] TJ /F190 8.9664 Tf 3.811 0 Td [ <0f> ] TJ /F186 7.2727 Tf 4.51 3.255 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 -3.255 Td [ () -1501 (O) -51 () ] TJ /F194 8.9664 Tf 25.873 0 Td [ (t) ] TJ /F265 8.9664 Tf 3.605 0 Td [ (\235) ] TJ /F190 8.9664 Tf 3.81 0 Td [ <0f> ] TJ /F186 7.2727 Tf 4.51 3.255 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 -3.255 Td [ () -1717 (O) -51 () ] TJ /F194 8.9664 Tf 27.814 0 Td [ (t) ] TJ /F265 8.9664 Tf 3.604 0 Td [ (\235) ] TJ /F190 8.9664 Tf 3.811 0 Td [ <0f> ] TJ /F186 7.2727 Tf 4.51 3.255 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 -3.255 Td [ () -1933 (O) -51 () ] TJ /F194 8.9664 Tf 29.753 0 Td [ (t) ] TJ /F265 8.9664 Tf 3.605 0 Td [ (\235) ] TJ /F190 8.9664 Tf 3.811 0 Td [ <0f> ] TJ /F265 8.9664 Tf 4.51 0 Td [ () ] TJ ET q 1 0 0 1 53.798 457.782 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F147 8.9664 Tf 1.004 0 0 1 63.761 433.55 Tm [ (W) 80 (e) -249 (obser) -15 (v) 8 (e) -249 (that\054) -249 (by) -248 (putting) -249 (the) -249 (no) -7 (de) -249 (similarity) -248 (matrix) ] TJ /F186 8.9664 Tf 1.004 0 0 1 266.169 433.55 Tm [ (S) ] TJ /F147 8.9664 Tf 1.004 0 0 1 272.775 433.55 Tm [ (in) -249 (the) ] TJ 1.001 0 0 1 53.798 422.591 Tm [ (r) 8 (ole) -249 (of) -249 (the) -249 (sketche) -7 (d) -249 (matrix) ] TJ /F186 8.9664 Tf 1.001 0 0 1 154.557 422.591 Tm [ (M) ] TJ /F147 8.9664 Tf 1.001 0 0 1 162.087 422.591 Tm [ (\054) -249 (w) 8 (e) -249 (can) -249 (e\035e) -7 (ctiv) 8 (ely) -249 (turn) -249 (a) -249 (sketching) ] TJ 1.007 0 0 1 53.798 411.632 Tm [ (te) -7 (chnique) -248 (to) -249 (an) -248 (emb) -10 (e) -7 (dding) -248 (metho) -7 (d\056) -248 (Inde) -7 (e) -7 (d\054) -248 (r) 8 (e) -7 (cent) -249 (w) 8 (ork) -248 (\133) ] TJ 1 0 0 1 267.744 411.632 Tm [ (46) ] TJ 1.007 0 0 1 276.083 411.632 Tm [ (\135) -248 (has) ] TJ 1.02 0 0 1 53.798 400.673 Tm [ (adapte) -7 (d) -304 (a) -304 (sketching) -304 (algorithm) -304 (\133) ] TJ 1 0 0 1 174.522 400.673 Tm [ (6) ] TJ 1.02 0 0 1 178.691 400.673 Tm [ (\054) ] TJ 1 0 0 1 183.484 400.673 Tm [ (37) ] TJ 1.02 0 0 1 191.823 400.673 Tm [ (\135) -304 (to) -304 (graph) -304 (emb) -10 (e) -7 (ddings\054) -304 (y) 8 (et) ] TJ 1.02 0 0 1 53.798 389.714 Tm [ (forfeite) -7 (d) ] TJ /F147 7.2727 Tf 1 0 0 1 85.715 392.969 Tm [ (1) ] TJ /F147 8.9664 Tf 1.02 0 0 1 92.042 389.714 Tm [ (its) -267 (err) 7 (or) -267 (guarante) -7 (es\056) -268 (W) 79 (e) -268 (apply) -267 (the) -268 (kno) 7 (w\055ho) 7 (w) -267 (of) -268 (state\055) ] TJ 1.02 0 0 1 53.798 378.756 Tm [ (of\055the\055art) -288 (matrix) -288 (sketching) -289 (to) -288 (ser) -14 (v) 7 (e) -288 (graph) -288 (emb) -10 (e) -7 (dding) -288 (purp) -7 (oses\054) ] TJ 1 0 0 1 53.798 367.797 Tm [ (leading) -250 (to) ] TJ /F156 8.9664 Tf 38.618 0 Td [ (anytime) -250 (graph) -250 (emb) -10 (e) -7 (ddings) ] TJ /F147 8.9664 Tf 99.146 0 Td [ (with) -250 (err) 8 (or) -250 (guarante) -7 (es\056) ] TJ /F151 10.9091 Tf -137.764 -21.553 Td [ (3) -1000 (AN) -24 (Y) -24 (TIME) -250 (GRAPH) -250 (EMBEDDINGS) ] TJ /F147 8.9664 Tf 1.02 0 0 1 53.368 332.545 Tm [ (W) 78 (e) -369 (obser) -15 (v) 8 (e) -370 (that) -370 (SVD\055base) -6 (d) -370 (graph) -370 (emb) -10 (e) -7 (ddings) 1 (\054) -370 (such) -370 (as) ] TJ /F164 8.9664 Tf 1.02 0 0 1 270.906 332.545 Tm [ (HOPE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 53.798 321.586 Tm [ (and) ] TJ /F164 8.9664 Tf 1.02 0 0 1 70.279 321.586 Tm [ (NetMF) ] TJ /F147 8.9664 Tf 1.02 0 0 1 97.982 321.586 Tm [ (\054) -297 (use) -297 (only) -297 (one) -297 (of) -297 (the) -297 (tw) 8 (o) -297 (unitar) -15 (y) -297 (matrices) -297 (SVD) -297 (pr) 8 (o\055) ] TJ 0.986 0 0 1 53.798 310.086 Tm [ (duces\054) ] TJ /F186 8.9664 Tf 0.986 0 0 1 78.331 310.086 Tm [ (U) ] TJ /F147 8.9664 Tf 0.986 0 0 1 86.41 310.086 Tm [ (and) ] TJ /F186 8.9664 Tf 0.986 0 0 1 101.951 310.086 Tm [ (V) ] TJ /F147 8.9664 Tf 0.986 0 0 1 107.716 310.086 Tm [ (\056) -253 (For) -253 (e) 7 (xample) 11 (\054) -253 (NetMF) -253 (r) 8 (eturns) ] TJ /F186 8.9664 Tf 0.986 0 0 1 215.663 310.086 Tm [ (W) ] TJ /F264 8.9664 Tf 1 0 0 1 226.561 310.086 Tm [ (\075) ] TJ /F186 8.9664 Tf 0.986 0 0 1 234.754 310.086 Tm [ (U) ] TJ /F186 7.2727 Tf 1 0 0 1 240.598 308.122 Tm [ (\072) ] TJ /F271 7.2727 Tf 1.535 0 Td [ (d) ] TJ /F265 8.9664 Tf 5.138 9.348 Td [ (p) ] TJ ET q 1 0 0 1 253.574 317.721 cm [ ] 0 d 0 J 0.502 w 0 0 m 5.416 0 l S Q BT /F252 8.9664 Tf 253.754 310.086 Td [ <06> ] TJ /F186 7.2727 Tf 5.236 -1.964 Td [ (\072) ] TJ /F271 7.2727 Tf 1.534 0 Td [ (d) ] TJ /F147 8.9664 Tf 0.986 0 0 1 265.663 310.086 Tm [ (\054) -253 (with) ] TJ /F252 8.9664 Tf 1 0 0 1 288.808 310.086 Tm [ <06> ] TJ /F147 8.9664 Tf 0.991 0 0 1 53.798 299.127 Tm [ (truncate) -7 (d) -252 (to) ] TJ /F194 8.9664 Tf 1 0 0 1 99.956 299.127 Tm [ (d) ] TJ /F147 8.9664 Tf 0.991 0 0 1 107.248 299.127 Tm [ (singular) -251 (values\056) -252 (Ther) 8 (efor) 8 (e) 10 (\054) -251 (such) -252 (metho) -7 (ds) -251 (cannot) -252 (r) 8 (e\055) ] TJ 0.98 0 0 1 53.798 288.168 Tm [ (construct) -219 (matrix) ] TJ /F186 8.9664 Tf 0.98 0 0 1 114.97 288.168 Tm [ (S) ] TJ /F147 8.9664 Tf 0.98 0 0 1 119.232 288.168 Tm [ (\073) -219 (SVD) -220 (pr) 9 (o) -8 (ducts) ] TJ /F186 8.9664 Tf 0.98 0 0 1 174.563 288.168 Tm [ (U) ] TJ /F147 8.9664 Tf 0.98 0 0 1 182.298 288.168 Tm [ (and) ] TJ /F252 8.9664 Tf 1 0 0 1 197.629 288.168 Tm [ <06> ] TJ /F156 8.9664 Tf 0.98 0 0 1 204.792 288.168 Tm [ (may) -219 (only) ] TJ /F147 8.9664 Tf 0.98 0 0 1 239.87 288.168 Tm [ (r) 8 (e) -7 (construct) -219 (the) ] TJ /F156 8.9664 Tf 1.02 0 0 1 53.798 277.209 Tm [ (r) 8 (o) 7 (w) -255 (co) 7 (variance) -255 (matrix) ] TJ /F186 8.9664 Tf 1.02 0 0 1 137.926 277.209 Tm [ (SS) ] TJ /F265 7.2727 Tf 1 0 0 1 146.798 280.464 Tm [ (\076) ] TJ /F264 8.9664 Tf 8.36 -3.255 Td [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 163.546 277.209 Tm [ (U) ] TJ /F252 8.9664 Tf 1 0 0 1 169.77 277.209 Tm [ <06> ] TJ /F186 7.2727 Tf 5.236 3.255 Td [ (2) ] TJ /F186 8.9664 Tf 1.02 0 0 1 178.886 277.209 Tm [ (U) ] TJ /F265 7.2727 Tf 1 0 0 1 184.932 280.464 Tm [ (\076) ] TJ /F147 8.9664 Tf 1.02 0 0 1 190.608 277.209 Tm [ (\054) -255 (as) ] TJ /F186 8.9664 Tf 1.02 0 0 1 205.024 277.209 Tm [ (W) -24 (W) ] TJ /F265 7.2727 Tf 1 0 0 1 222.634 280.464 Tm [ (\076) ] TJ /F264 8.9664 Tf 8.361 -3.255 Td [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 239.382 277.209 Tm [ (U) ] TJ /F252 8.9664 Tf 1 0 0 1 245.607 277.209 Tm [ <06> ] TJ /F186 7.2727 Tf 5.236 3.255 Td [ (2) ] TJ /F186 8.9664 Tf 1.02 0 0 1 254.723 277.209 Tm [ (U) ] TJ /F265 7.2727 Tf 1 0 0 1 260.769 280.464 Tm [ (\076) ] TJ /F147 8.9664 Tf 1.02 0 0 1 266.445 277.209 Tm [ (\054) -255 (wher) 8 (e) ] TJ /F186 8.9664 Tf 1.02 0 0 1 53.368 266.25 Tm [ (W) ] TJ /F264 8.9664 Tf 1 0 0 1 65.104 266.25 Tm [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 73.846 266.25 Tm [ (U) ] TJ /F252 8.9664 Tf 1 0 0 1 80.07 266.25 Tm [ <06> ] TJ /F147 8.9664 Tf 1.02 0 0 1 85.307 266.25 Tm [ (\073) -272 (thus\054) -272 (such) -272 (metho) -7 (ds) -272 (ar) 8 (e) -272 (b) -10 (etter) -272 (understo) -7 (o) -7 (d) -272 (as) -272 (implicitly) ] TJ 1.02 0 0 1 53.798 255.291 Tm [ (minimizing) -294 (the) -295 (co) 7 (variance) -294 (err) 8 (or) 58 (\054) -295 (rather) -294 (than) -294 (the) -295 (r) 8 (e) -7 (construction) ] TJ 1 0 0 1 53.798 244.332 Tm [ (err) 8 (or) -250 (\13328\135\054) -250 (in) -250 (r) 8 (elation) -250 (to) -250 (a) -250 (similarity) -250 (matrix) -250 (among) -250 (graph) -250 (no) -7 (des\056) ] TJ 0.99 0 0 1 63.761 233.373 Tm [ (Ser) 8 (endipitously) 60 (\054) ] TJ /F156 8.9664 Tf 0.99 0 0 1 123.993 233.373 Tm [ (sketching) -253 (algorithms) ] TJ /F147 8.9664 Tf 0.99 0 0 1 199.683 233.373 Tm [ (aim) -253 (to) -253 (r) 8 (e) -7 (construct) -253 (the) ] TJ /F156 8.9664 Tf 0.99 0 0 1 282.203 233.373 Tm [ (col\055) ] TJ 0.99 0 0 1 53.798 222.414 Tm [ (umn) -253 (co) 7 (variance) ] TJ /F186 8.9664 Tf 0.99 0 0 1 112.075 222.414 Tm [ (S) ] TJ /F265 7.2727 Tf 1 0 0 1 116.38 225.669 Tm [ (\076) ] TJ /F186 8.9664 Tf 0.99 0 0 1 122.057 222.414 Tm [ (S) ] TJ /F264 8.9664 Tf 1 0 0 1 128.857 222.414 Tm [ (\075) ] TJ /F186 8.9664 Tf 0.99 0 0 1 137.054 222.414 Tm [ (V) ] TJ /F252 8.9664 Tf 1 0 0 1 143.021 222.414 Tm [ <06> ] TJ /F186 7.2727 Tf 5.236 3.255 Td [ (2) ] TJ /F186 8.9664 Tf 0.99 0 0 1 152.137 222.414 Tm [ (V) ] TJ /F265 7.2727 Tf 1 0 0 1 157.925 225.669 Tm [ (\076) ] TJ /F147 8.9664 Tf 0.99 0 0 1 163.601 222.414 Tm [ (\056) -253 (Giv) 8 (en) -252 (this) -253 (r) 8 (elationship) 10 (\054) -253 (w) 8 (e) -252 (apply) -253 (a) ] TJ 1.02 0 0 1 53.798 211.456 Tm [ (state\055of\055the\055art) ] TJ /F156 8.9664 Tf 1.02 0 0 1 112.833 211.456 Tm [ (matrix) -255 (sketching) -255 (algorithm) ] TJ /F147 8.9664 Tf 1.02 0 0 1 214.306 211.456 Tm [ (in) -255 (lieu) -255 (of) -255 (SVD) -255 (to) -254 (con\055) ] TJ 0.98 0 0 1 53.798 200.497 Tm [ (struct) -220 (a) -220 (graph) -220 (emb) -10 (e) -7 (dding) -220 (in) ] TJ /F156 8.9664 Tf 0.98 0 0 1 155.974 200.497 Tm [ (anytime) ] TJ /F147 8.9664 Tf 0.98 0 0 1 186.887 200.497 Tm [ (fashion\054) -220 (by) ] TJ /F156 8.9664 Tf 0.98 0 0 1 228.009 200.497 Tm [ (r) 8 (o) 7 (w) -220 (up) -7 (dates) ] TJ /F147 8.9664 Tf 0.98 0 0 1 271.889 200.497 Tm [ (of) -220 (any) ] TJ 0.996 0 0 1 53.798 189.538 Tm [ (partially) -252 (materializable) -252 (similarity) -252 (matrix) ] TJ /F186 8.9664 Tf 0.996 0 0 1 203.709 189.538 Tm [ (S) ] TJ /F147 8.9664 Tf 0.996 0 0 1 208.041 189.538 Tm [ (\056) -252 (Unfortunately) 59 (\054) -252 (the) -252 (ma\055) ] TJ 0.98 0 0 1 53.798 178.579 Tm [ (trix) -210 (form) -209 (of) -210 (De) -7 (ep) 55 (W) 61 (alk) -209 (\050Eq\056) -210 (1\051) -209 (cannot) -210 (b) -10 (e) -210 (partially) -209 (materialize) -7 (d\056) -210 (Ne) 7 (xt\054) ] TJ 0.982 0 0 1 53.467 167.62 Tm [ (w) 8 (e) -256 (pr) 8 (op) -7 (ose) -255 (a) -256 (partially) -256 (materializable) -256 (matrix) -256 (base) -7 (d) -256 (on) -256 (Personalize) -7 (d) ] TJ 0.98 0 0 1 53.798 156.661 Tm [ (PageRank) -221 (\050PPR\051\054) -222 (inspir) 9 (e) -8 (d) -221 (fr) 8 (om) -221 (the) ] TJ /F164 8.9664 Tf 0.98 0 0 1 178.753 156.661 Tm [ (VERSE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 205.636 156.661 Tm [ (\133) ] TJ 1 0 0 1 208.764 156.661 Tm [ (36) ] TJ 0.98 0 0 1 217.103 156.661 Tm [ (\135) -221 (similarity\055base) -7 (d) -222 (em\055) ] TJ 0.988 0 0 1 53.798 145.702 Tm [ (b) -10 (e) -7 (ddings\056) -253 (A) 13 (s) -253 (w) 8 (e) -252 (sho) 7 (w) -252 (in) -253 (the) -252 (e) 7 (xp) -7 (eriments\054) -252 (this) -253 (choice) -252 (attains) -252 (go) -7 (o) -8 (d) ] TJ 0.98 0 0 1 53.798 134.743 Tm [ (quality) -201 (and) -201 (time) -202 (p) -7 (erformance) 10 (\056) -201 (Ho) 7 (w) 8 (e) 7 (v) 8 (er) 61 (\054) -202 (our) -201 (metho) -7 (d) -201 (carries) -201 (no) -202 (pr) 9 (ej\055) ] TJ 0.984 0 0 1 53.798 123.784 Tm [ (udice) -253 (with) -254 (r) 8 (egar) 9 (d) -254 (to) -253 (the) -254 (partially) -253 (materializable) -253 (matrix) -254 (use) -7 (d\073) -253 (other) ] TJ 1.02 0 0 1 53.798 112.825 Tm [ (choices) -268 (ar) 8 (e) -268 (p) -7 (ossible) 10 (\054) -268 (such) -267 (as\054) -268 (for) -268 (e) 7 (xample) 10 (\054) -268 (the) -268 (No) -7 (de\055Re) 7 (w) 8 (eighte) -7 (d) ] TJ 1.02 0 0 1 53.798 101.867 Tm [ (PageRank) -313 (\050NRP\051) -313 (\133) ] TJ 1 0 0 1 121.911 101.867 Tm [ (41) ] TJ 1.02 0 0 1 130.25 101.867 Tm [ (\135\056) -313 (Our) -313 (aim) -313 (is) -312 (to) -313 (illustrate) -313 (the) -313 (advantage) -6 (ous) ] TJ 0 g 0 G ET q 1 0 0 1 53.798 93.463 cm [ ] 0 d 0 J 0.398 w 0 0 m 47.821 0 l S Q BT /F147 5.4795 Tf 53.672 87.293 Td [ (1) ] TJ /F147 6.9738 Tf 3.046 -2.64 Td [ (In) -250 (our) -250 (e) 7 (xp) -7 (eriments\054) -250 (w) 8 (e) -250 (use) -250 (a) -250 (variant) -250 (of) -250 (\13346\135) -250 (with) -250 (err) 8 (or) -250 (guarante) -7 (es) -250 (as) -250 (a) -250 (baseline) 10 (\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G /F147 8.9664 Tf 0.987 0 0 1 317.955 698.351 Tm [ (application) -253 (of) -252 (sketching) -252 (for) -253 (emb) -10 (e) -7 (dding) -253 (purp) -7 (oses\054) -252 (while) -253 (our) -252 (frame\055) ] TJ 1 0 0 1 317.623 687.392 Tm [ (w) 8 (ork) -250 (supp) -7 (orts) -250 (any) -250 (way) -250 (of) -250 (deriving) -250 (the) -250 (primar) -15 (y) -250 (input) -250 (matrix\056) ] TJ /F151 10.9091 Tf 0.332 -21.94 Td [ (3\0561) -1000 (A) -250 (r) 8 (o) 7 (w\055wise) -250 (computable) -250 (similarity) -250 (matrix) ] TJ /F164 8.9664 Tf 0.98 0 0 1 317.659 651.754 Tm [ (VERSE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 344.171 651.754 Tm [ (\133) ] TJ 1 0 0 1 347.299 651.754 Tm [ (36) ] TJ 0.98 0 0 1 355.638 651.754 Tm [ (\135) -179 (is) -179 (the) -179 (\033rst) -179 (similarity\055base) -7 (d) -180 (emb) -10 (e) -7 (dding) -179 (metho) -7 (d) -179 (that) -179 (do) -7 (es) ] TJ /F156 8.9664 Tf 0.984 0 0 1 317.955 640.795 Tm [ (not) ] TJ /F147 8.9664 Tf 0.984 0 0 1 331.922 640.795 Tm [ (r) 8 (e) -7 (quir) 8 (e) -254 (the) -253 (entir) 8 (e) -254 (matrix) -253 (as) -254 (input\054) -254 (as) -253 (it) -254 (allo) 7 (ws) -253 (for) -254 (e\034cient) -254 (r) 8 (o) 7 (w\055) ] TJ 1 0 0 1 317.623 629.836 Tm [ (wise) -250 (computation\073) -250 (in) -250 (its) -250 (default) -250 (v) 8 (ersion\054) -250 (it) -250 (uses) -250 (the) -250 (PPR) -250 (similarity) ] TJ 0.332 -10.959 Td [ (measur) 8 (e\072) ] TJ 0 g 0 G /F164 8.9664 Tf 0.98 0 0 1 327.918 601.592 Tm [ (Definition) -170 (4\056) ] TJ 0 g 0 G /F156 8.9664 Tf 0.98 0 0 1 382.665 601.592 Tm [ (Giv) 8 (en) -170 (a) -170 (starting) -171 (no) -7 (de) -170 (distribution) ] TJ /F194 8.9664 Tf 1 0 0 1 498.369 601.592 Tm [ (s) ] TJ /F156 8.9664 Tf 0.98 0 0 1 502.161 601.592 Tm [ (\054) -170 (damping) -171 (factor) ] TJ /F190 8.9664 Tf 1 0 0 1 317.731 590.633 Tm [ <0b> ] TJ /F156 8.9664 Tf 1.02 0 0 1 323.299 590.633 Tm [ (\054) -278 (and) -278 (the) -278 (transition) -278 (pr) 8 (obability) -279 (matr) 1 (ix) ] TJ /F186 8.9664 Tf 1.02 0 0 1 464.98 590.633 Tm [ (P) ] TJ /F156 8.9664 Tf 1.02 0 0 1 469.928 590.633 Tm [ (\054) -278 (the) -278 (PPR) -278 (v) 8 (e) -7 (ctor) ] TJ /F186 8.9664 Tf 1 0 0 1 529.222 590.633 Tm [ (PPR) ] TJ /F271 7.2727 Tf 14.877 -1.345 Td [ (i) ] TJ /F265 7.2727 Tf 3.418 0 Td [ <01> ] TJ /F156 8.9664 Tf 1.02 0 0 1 552.449 590.633 Tm [ (is) ] TJ 1 0 0 1 317.955 579.674 Tm [ (de\033ne) -7 (d) -250 (by) -250 (the) -250 (r) 8 (e) -7 (cursiv) 8 (e) -250 (e) -7 (quation\072) ] TJ /F186 8.9664 Tf 71.064 -16.275 Td [ (PPR) ] TJ /F271 7.2727 Tf 14.877 -1.345 Td [ (i) ] TJ /F264 8.9664 Tf 5.898 1.345 Td [ (\075) ] TJ /F190 8.9664 Tf 7.969 0 Td [ <0b> ] TJ /F194 8.9664 Tf 5.209 0 Td [ (s) ] TJ /F264 8.9664 Tf 5.785 0 Td [ (\053) ] TJ /F265 8.9664 Tf 7.695 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (1) ] TJ /F265 8.9664 Tf 6.162 0 Td [ <00> ] TJ /F190 8.9664 Tf 7.471 0 Td [ <0b> ] TJ /F265 8.9664 Tf 5.568 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (PPR) ] TJ /F265 7.2727 Tf 14.985 3.703 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.467 Td [ (i) ] TJ /F186 8.9664 Tf 5.786 2.764 Td [ (P) ] TJ /F147 8.9664 Tf 66.401 0 Td [ (\0503\051) ] TJ 1.01 0 0 1 327.918 546.114 Tm [ (T) 62 (o) -247 (compute) ] TJ /F186 8.9664 Tf 1 0 0 1 373.809 546.114 Tm [ (PPR) ] TJ /F271 7.2727 Tf 14.876 -1.345 Td [ (i) ] TJ /F147 8.9664 Tf 1.01 0 0 1 392.093 546.114 Tm [ (\054) -247 (w) 8 (e) -247 (le) 7 (v) 8 (erage) -247 (the) -247 (fact) -247 (that) -247 (the) -247 (pr) 8 (obability) -247 (dis\055) ] TJ 1.02 0 0 1 317.955 535.155 Tm [ (tribution) -322 (of) -321 (a) -322 (rand) 1 (om) -322 (walk) -321 (with) -322 (r) 8 (estart) -322 (conv) 8 (erges) -321 (to) ] TJ /F186 8.9664 Tf 1 0 0 1 522.863 535.155 Tm [ (PPR) ] TJ /F271 7.2727 Tf 14.876 -1.345 Td [ (i) ] TJ /F147 8.9664 Tf 1.02 0 0 1 544.087 535.155 Tm [ (v) 8 (e) -7 (c\055) ] TJ 1.02 0 0 1 317.955 524.196 Tm [ (tor) -277 (\133) ] TJ 1 0 0 1 334.643 524.196 Tm [ (4) ] TJ 1.02 0 0 1 338.813 524.196 Tm [ (\054) ] TJ 1 0 0 1 343.355 524.196 Tm [ (24) ] TJ 1.02 0 0 1 351.694 524.196 Tm [ (\135\056) -277 (Follo) 7 (wing) -277 (\133) ] TJ 1 0 0 1 402.542 524.196 Tm [ (16) ] TJ 1.02 0 0 1 410.88 524.196 Tm [ (\054) ] TJ 1 0 0 1 415.423 524.196 Tm [ (28) ] TJ 1.02 0 0 1 423.762 524.196 Tm [ (\135) -277 (w) 8 (e) -277 (sho) 7 (w) -276 (that\054) -277 (under) -277 (mild) -276 (assump\055) ] TJ 0.997 0 0 1 317.955 513.237 Tm [ (tions\054) ] TJ /F164 8.9664 Tf 0.997 0 0 1 340.255 513.237 Tm [ (VERSE) ] TJ /F147 8.9664 Tf 0.997 0 0 1 367.875 513.237 Tm [ (with) -252 (PPR) -251 (similarity) -252 (virtually) -251 (factorizes) -252 (the) ] TJ /F186 8.9664 Tf 1 0 0 1 525.875 513.237 Tm [ (log) ] TJ /F265 8.9664 Tf 11.37 0 Td [ () ] TJ /F186 8.9664 Tf 2.985 0 Td [ (PPR) ] TJ /F265 8.9664 Tf 14.986 0 Td [ () ] TJ /F147 8.9664 Tf -237.261 -10.958 Td [ (matrix) -250 (up) -250 (to) -250 (an) -250 (additiv) 8 (e) -250 (constant\056) ] TJ 0 g 0 G /F164 8.9664 Tf 1.02 0 0 1 327.918 484.994 Tm [ (Theorem) -327 (1\056) ] TJ 0 g 0 G /F156 8.9664 Tf 1.02 0 0 1 377.355 484.994 Tm [ (Let) ] TJ /F186 8.9664 Tf 1.02 0 0 1 391.571 484.994 Tm [ (X) ] TJ /F156 8.9664 Tf 1.02 0 0 1 400.601 484.994 Tm [ (b) -10 (e) -327 (the) -327 (matrix) -328 (of) ] TJ /F579 8.9664 Tf 1.02 0 0 1 463.433 484.994 Tm [ (VERSE) ] TJ /F156 8.9664 Tf 1.02 0 0 1 490.735 484.994 Tm [ (emb) -10 (e) -7 (ddings\056) -328 (If) -327 (the) ] TJ 0.993 0 0 1 317.955 474.035 Tm [ (terms) ] TJ /F194 8.9664 Tf 1 0 0 1 339.48 474.035 Tm [ (z) ] TJ /F271 7.2727 Tf 4.114 -1.345 Td [ (i) -118 (j) ] TJ /F264 8.9664 Tf 8.829 1.345 Td [ (\075) ] TJ /F385 8.9664 Tf 8.194 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.671 3.255 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.467 Td [ (i) ] TJ /F385 8.9664 Tf 5.785 3.212 Td [ (x) ] TJ /F271 7.2727 Tf 4.926 -3.212 Td [ (j) ] TJ /F156 8.9664 Tf 0.993 0 0 1 381.379 474.035 Tm [ (ar) 8 (e) -252 (indep) -7 (endent\054) -252 (then) ] TJ /F579 8.9664 Tf 0.993 0 0 1 459.458 474.035 Tm [ (VERSE) ] TJ /F156 8.9664 Tf 0.993 0 0 1 485.365 474.035 Tm [ (factorizes) -252 (the) -252 (matrix) ] TJ /F186 8.9664 Tf 1 0 0 1 317.695 461.067 Tm [ (Y) ] TJ /F264 8.9664 Tf 7.646 0 Td [ (\075) ] TJ /F186 8.9664 Tf 8.194 0 Td [ (log) ] TJ /F265 8.9664 Tf 11.369 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (PPR) ] TJ /F265 8.9664 Tf 14.985 0 Td [ () ] TJ /F264 8.9664 Tf 4.979 0 Td [ (\053) ] TJ /F186 8.9664 Tf 7.695 0 Td [ (log) ] TJ /F194 8.9664 Tf 12.505 0 Td [ (n) ] TJ /F265 8.9664 Tf 6.906 0 Td [ <00> ] TJ /F186 8.9664 Tf 7.695 0 Td [ (log) ] TJ /F194 8.9664 Tf 12.398 0 Td [ (b) ] TJ /F264 8.9664 Tf 7.314 0 Td [ (\075) ] TJ /F186 8.9664 Tf 8.193 0 Td [ (XX) ] TJ /F265 7.2727 Tf 11.836 3.254 Td [ (\076) ] TJ /F156 8.9664 Tf 5.676 -3.254 Td [ (\056) ] TJ 0 g 0 G /F164 8.9664 Tf 1.02 0 0 1 327.918 443.782 Tm [ (Proof\056) ] TJ 0 g 0 G /F156 8.9664 Tf 1.02 0 0 1 358.521 443.782 Tm [ (Consider) -316 (the) ] TJ /F579 8.9664 Tf 1.02 0 0 1 407.138 443.782 Tm [ (VERSE) ] TJ /F156 8.9664 Tf 1.02 0 0 1 434.336 443.782 Tm [ (obje) -7 (ctiv) 8 (e) -316 (function) -316 (for) -316 (the) -316 (uniform) ] TJ 1 0 0 1 317.955 432.823 Tm [ (sampling) -250 (distribution) -250 (and) -250 (PPR) -250 (similarity\072) ] TJ /F265 8.9664 Tf 13.444 -23.814 Td [ (L) ] TJ /F264 8.9664 Tf 9.664 0 Td [ (\075) ] TJ /F271 7.2727 Tf 11.782 10.968 Td [ (n) ] TJ /F278 8.9664 Tf -3.589 -1.794 Td [ () ] TJ /F271 7.2727 Tf 0.419 -19.714 Td [ (i) ] TJ /F264 7.2727 Tf 2.909 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F271 7.2727 Tf 8.993 21.508 Td [ (n) ] TJ /F278 8.9664 Tf -3.589 -1.794 Td [ () ] TJ /F271 7.2727 Tf 0.68 -19.714 Td [ (j) ] TJ /F264 7.2727 Tf 2.749 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.626 0 Td [ (1) ] TJ /F278 8.9664 Tf 6.109 20.447 Td [ (h) ] TJ /F186 8.9664 Tf 3.255 -9.907 Td [ (PPR) ] TJ /F271 7.2727 Tf 14.876 -1.345 Td [ (i) -118 (j) ] TJ /F186 8.9664 Tf 7.832 1.345 Td [ (log) ] TJ /F190 8.9664 Tf 12.64 0 Td [ (\033) ] TJ /F265 8.9664 Tf 5.703 0 Td [ () ] TJ /F385 8.9664 Tf 2.985 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.672 3.703 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.467 Td [ (i) ] TJ /F385 8.9664 Tf 5.785 2.764 Td [ (x) ] TJ /F271 7.2727 Tf 4.926 -2.764 Td [ (j) ] TJ /F265 8.9664 Tf 3.247 2.764 Td [ () ] TJ /F264 8.9664 Tf 4.979 0 Td [ (\053) ] TJ /F194 8.9664 Tf 7.229 0 Td [ (b) ] TJ /F260 8.9664 Tf 4.824 0 Td [ (E) ] TJ /F271 7.2727 Tf 5.733 -1.983 Td [ (j) ] TJ /F265 7.2727 Tf 3.04 0 Td [ (0) 30 (\030) -80 (Q) ] TJ /F370 5.4795 Tf 12.707 -1.09 Td [ (i) ] TJ /F186 8.9664 Tf 4.994 3.073 Td [ (log) ] TJ /F190 8.9664 Tf 12.64 0 Td [ (\033) ] TJ /F265 8.9664 Tf 5.703 0 Td [ ] TJ /F385 8.9664 Tf 8.688 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.671 3.703 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.467 Td [ (i) ] TJ /F385 8.9664 Tf 5.786 2.764 Td [ (x) ] TJ /F271 7.2727 Tf 4.926 -2.764 Td [ (j) ] TJ /F265 7.2727 Tf 3.04 0 Td [ (0) ] TJ /F265 8.9664 Tf 2.803 2.764 Td [ () ] TJ /F278 8.9664 Tf 3.165 9.907 Td [ (i) ] TJ /F196 8.9664 Tf 5.288 -9.907 Td [ (\073) ] TJ /F156 8.9664 Tf 1.02 0 0 1 317.955 384.54 Tm [ (wher) 8 (e) ] TJ /F190 8.9664 Tf 1 0 0 1 342.308 384.54 Tm [ (\033) ] TJ /F265 8.9664 Tf 5.703 0 Td [ () ] TJ /F194 8.9664 Tf 2.716 0 Td [ (x) ] TJ /F265 8.9664 Tf 5.066 0 Td [ () ] TJ /F264 8.9664 Tf 7.185 0 Td [ (\075) ] TJ /F265 8.9664 Tf 9.901 0 Td [ () ] TJ /F186 8.9664 Tf 1.02 0 0 1 375.864 384.54 Tm [ (1) ] TJ /F264 8.9664 Tf 1 0 0 1 382.793 384.54 Tm [ (\053) ] TJ /F194 8.9664 Tf 8.064 0 Td [ (e) ] TJ /F265 7.2727 Tf 4.223 3.255 Td [ <00> ] TJ /F271 7.2727 Tf 4.589 0 Td [ (x) ] TJ /F265 8.9664 Tf 5.08 -3.255 Td [ () ] TJ /F265 7.2727 Tf 2.986 3.255 Td [ <00> ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F156 8.9664 Tf 1.02 0 0 1 419.25 384.54 Tm [ (is) -329 (the) -329 (sigmoid\054) ] TJ /F265 8.9664 Tf 1 0 0 1 475.799 384.54 Tm [ (Q) ] TJ /F271 7.2727 Tf 6.329 -1.345 Td [ (i) ] TJ /F156 8.9664 Tf 1.02 0 0 1 488.545 384.54 Tm [ (is) -329 (the) -329 (noise) -329 (sample) ] TJ 1.015 0 0 1 317.955 373.582 Tm [ (distribution\054) -247 (and) ] TJ /F194 8.9664 Tf 1 0 0 1 379.476 373.582 Tm [ (b) ] TJ /F156 8.9664 Tf 1.015 0 0 1 386.548 373.582 Tm [ (the) -247 (numb) -10 (er) -247 (of) -247 (noise) -247 (samples\056) -247 (Since) ] TJ /F186 8.9664 Tf 1 0 0 1 513.242 373.582 Tm [ (PPR) ] TJ /F156 8.9664 Tf 1.015 0 0 1 530.476 373.582 Tm [ (is) -247 (right\055) ] TJ 1.02 0 0 1 317.955 362.442 Tm [ (sto) -7 (chastic) -259 (and) ] TJ /F265 8.9664 Tf 1 0 0 1 371.578 362.442 Tm [ (Q) ] TJ /F271 7.2727 Tf 6.328 -1.345 Td [ (i) ] TJ /F156 8.9664 Tf 1.02 0 0 1 383.681 362.442 Tm [ (is) -259 (uniform\054) -259 (i\056e) 10 (\056\054) ] TJ /F186 8.9664 Tf 1 0 0 1 440.062 362.442 Tm [ (Pr) ] TJ /F265 8.9664 Tf 8.186 0 Td [ () -20 (Q) ] TJ /F271 7.2727 Tf 9.494 -1.345 Td [ (i) ] TJ /F264 8.9664 Tf 6.177 1.345 Td [ (\075) ] TJ /F194 8.9664 Tf 8.562 0 Td [ (j) ] TJ /F265 8.9664 Tf 2.905 0 Td [ () ] TJ /F264 8.9664 Tf 5.756 0 Td [ (\075) ] TJ /F186 7.2727 Tf 10.21 3.533 Td [ (1) ] TJ ET q 1 0 0 1 490.81 364.747 cm [ ] 0 d 0 J 0.502 w 0 0 m 4.465 0 l S Q BT /F271 7.2727 Tf 490.701 359.349 Td [ (n) ] TJ /F156 8.9664 Tf 1.02 0 0 1 496.471 362.442 Tm [ (\054) -259 (w) 8 (e) -259 (can) -259 (separate) ] TJ 1 0 0 1 317.955 351.483 Tm [ (the) -250 (tw) 8 (o) -250 (terms) -250 (as) -250 (follo) 7 (ws\072) ] TJ /F265 8.9664 Tf 15.027 -26.649 Td [ (L) ] TJ /F264 8.9664 Tf 9.664 0 Td [ (\075) ] TJ /F271 7.2727 Tf 11.782 10.968 Td [ (n) ] TJ /F278 8.9664 Tf -3.589 -1.793 Td [ () ] TJ /F271 7.2727 Tf 0.419 -19.715 Td [ (i) ] TJ /F264 7.2727 Tf 2.909 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.625 0 Td [ (1) ] TJ /F271 7.2727 Tf 8.993 21.508 Td [ (n) ] TJ /F278 8.9664 Tf -3.589 -1.793 Td [ () ] TJ /F271 7.2727 Tf 0.68 -19.715 Td [ (j) ] TJ /F264 7.2727 Tf 2.749 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.626 0 Td [ (1) ] TJ /F186 8.9664 Tf 5.302 10.54 Td [ (PPR) ] TJ /F271 7.2727 Tf 14.876 -1.345 Td [ (i) -118 (j) ] TJ /F186 8.9664 Tf 7.833 1.345 Td [ (log) ] TJ /F190 8.9664 Tf 12.639 0 Td [ (\033) ] TJ /F265 8.9664 Tf 5.703 0 Td [ () ] TJ /F385 8.9664 Tf 2.986 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.671 3.703 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.466 Td [ (i) ] TJ /F385 8.9664 Tf 5.785 2.763 Td [ (x) ] TJ /F271 7.2727 Tf 4.926 -2.763 Td [ (j) ] TJ /F265 8.9664 Tf 3.248 2.763 Td [ () ] TJ /F264 8.9664 Tf 4.978 0 Td [ (\053) ] TJ /F194 8.9664 Tf 8.523 6.07 Td [ (b) ] TJ ET q 1 0 0 1 453.98 327.139 cm [ ] 0 d 0 J 0.502 w 0 0 m 4.555 0 l S Q BT /F194 8.9664 Tf 453.621 318.683 Td [ (n) ] TJ /F271 7.2727 Tf 11.193 17.119 Td [ (n) ] TJ /F278 8.9664 Tf -3.59 -1.793 Td [ () ] TJ /F271 7.2727 Tf 0.419 -19.715 Td [ (i) ] TJ /F264 7.2727 Tf 2.909 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.626 0 Td [ (1) ] TJ /F271 7.2727 Tf 9.865 21.508 Td [ (n) ] TJ /F278 8.9664 Tf -3.589 -1.793 Td [ () ] TJ /F271 7.2727 Tf -0.618 -19.715 Td [ (j) ] TJ /F265 7.2727 Tf 3.04 0 Td [ (0) ] TJ /F264 7.2727 Tf 2.305 0 Td [ (\075) ] TJ /F186 7.2727 Tf 4.626 0 Td [ (1) ] TJ /F186 8.9664 Tf 4.876 10.54 Td [ (log) ] TJ /F190 8.9664 Tf 12.64 0 Td [ (\033) ] TJ /F265 8.9664 Tf 5.702 0 Td [ ] TJ /F385 8.9664 Tf 8.689 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.671 3.703 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.466 Td [ (i) ] TJ /F385 8.9664 Tf 5.785 2.763 Td [ (x) ] TJ /F271 7.2727 Tf 4.926 -2.763 Td [ (j) ] TJ /F265 7.2727 Tf 3.04 0 Td [ (0) ] TJ /F265 8.9664 Tf 2.804 2.763 Td [ () ] TJ /F196 8.9664 Tf 3.129 0 Td [ (\072) ] TJ /F156 8.9664 Tf -213.042 -27.303 Td [ (A) 50 (n) -250 (individual) -250 (loss) -250 (term) -250 (for) -250 (v) 8 (ertices) ] TJ /F194 8.9664 Tf 125.502 0 Td [ (i) ] TJ /F156 8.9664 Tf 5.326 0 Td [ (and) ] TJ /F194 8.9664 Tf 15.718 0 Td [ (j) ] TJ /F156 8.9664 Tf 5.147 0 Td [ (is\072) ] TJ /F265 8.9664 Tf -120.72 -20.068 Td [ (L) ] TJ /F271 7.2727 Tf 6.786 -1.345 Td [ (i) -118 (j) ] TJ /F264 8.9664 Tf 8.829 1.345 Td [ (\075) ] TJ /F186 8.9664 Tf 8.193 0 Td [ (PPR) ] TJ /F271 7.2727 Tf 14.876 -1.345 Td [ (i) -118 (j) ] TJ /F186 8.9664 Tf 7.833 1.345 Td [ (log) ] TJ /F190 8.9664 Tf 12.639 0 Td [ (\033) ] TJ /F265 8.9664 Tf 5.703 0 Td [ () ] TJ /F385 8.9664 Tf 2.986 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.671 3.703 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.467 Td [ (i) ] TJ /F385 8.9664 Tf 5.786 2.764 Td [ (x) ] TJ /F271 7.2727 Tf 4.926 -2.764 Td [ (j) ] TJ /F265 8.9664 Tf 3.247 2.764 Td [ () ] TJ /F264 8.9664 Tf 4.978 0 Td [ (\053) ] TJ /F194 8.9664 Tf 8.523 6.07 Td [ (b) ] TJ ET q 1 0 0 1 459.126 279.767 cm [ ] 0 d 0 J 0.502 w 0 0 m 4.555 0 l S Q BT /F194 8.9664 Tf 458.767 271.312 Td [ (n) ] TJ /F186 8.9664 Tf 7.604 6.151 Td [ (log) ] TJ /F190 8.9664 Tf 12.639 0 Td [ (\033) ] TJ /F265 8.9664 Tf 5.703 0 Td [ ] TJ /F385 8.9664 Tf 8.688 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.672 3.703 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.467 Td [ (i) ] TJ /F385 8.9664 Tf 5.785 2.764 Td [ (x) ] TJ /F271 7.2727 Tf 4.926 -2.764 Td [ (j) ] TJ /F265 8.9664 Tf 3.247 2.764 Td [ () ] TJ /F196 8.9664 Tf 3.129 0 Td [ (\072) ] TJ /F156 8.9664 Tf 1.006 0 0 1 327.918 254.98 Tm [ (W) 70 (e) -249 (substitute) ] TJ /F194 8.9664 Tf 1 0 0 1 377.774 254.98 Tm [ (z) ] TJ /F271 7.2727 Tf 4.114 -1.344 Td [ (i) -118 (j) ] TJ /F264 8.9664 Tf 8.835 1.344 Td [ (\075) ] TJ /F385 8.9664 Tf 8.199 0 Td [ (x) ] TJ /F265 7.2727 Tf 4.671 3.255 Td [ (\076) ] TJ /F271 7.2727 Tf -0.109 -6.466 Td [ (i) ] TJ /F385 8.9664 Tf 5.785 3.211 Td [ (x) ] TJ /F271 7.2727 Tf 4.927 -3.211 Td [ (j) ] TJ /F156 8.9664 Tf 1.006 0 0 1 417.443 254.98 Tm [ (\054) -249 (use) -249 (our) -248 (indep) -7 (endence) -249 (assumption\054) -249 (and) ] TJ 0.98 0 0 1 317.955 239.155 Tm [ (solv) 8 (e) -173 (for) ] TJ /F269 7.2727 Tf 1 0 0 1 349.314 244.38 Tm [ (\100) ] TJ /F265 7.2727 Tf 5.156 0 Td [ (L) ] TJ /F370 5.4795 Tf 5.565 -1.091 Td [ (i) -138 (j) ] TJ ET q 1 0 0 1 348.979 241.459 cm 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-19.7037 7.10347 -21.2601 c 7.10347 -22.81648 8.36516 -24.07817 9.92155 -24.07817 c 11.47794 -24.07817 12.73962 -22.81648 12.73962 -21.2601 c h 9.92155 -21.2601 m B Q q 1 0 0 1 9.922 -21.26 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -9.922 21.26 cm Q Q q 0.79701 w 0.92471 0.7 0.84236 rg q 0.79701 w 0.92471 0.7 0.84236 rg 2.81807 9.92155 m 2.81807 11.47794 1.55638 12.73962 0 12.73962 c -1.55638 12.73962 -2.81807 11.47794 -2.81807 9.92155 c -2.81807 8.36516 -1.55638 7.10347 0 7.10347 c 1.55638 7.10347 2.81807 8.36516 2.81807 9.92155 c h 0 9.92155 m B Q q 1 0 0 1 0 9.921 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 0 -9.921 cm Q Q q q 1 0 0 1 3.222 -6.18 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -100.5 -657.258 cm BT /F190 8.9664 Tf 99.917 657.258 Td [ (v) ] TJ ET 1 0 0 1 100.5 657.258 cm Q 1 0 0 1 -3.222 6.18 cm Q Q 0.3985 w q 1.59404 w 4.25183 0 m 49.81882 0 l S q 1 0 0 1 49.81882 0 cm q 1.27522 w [ ] 0 d 1 J 1 j -2.27148 3.02866 m -2.0822 1.8929 0 0.18927 0.56786 0 c 0 -0.18927 -2.0822 -1.8929 -2.27148 -3.02866 c S Q Q Q q 1.59404 w 53.15025 -38.26836 m 53.15025 -38.26836 m 53.15025 30.47272 l 80.07964 30.47272 l 80.07964 -38.26836 l h 80.07964 30.47272 m S Q q 0.3522 0.3522 0.3522 rg q 0.3522 0.3522 0.3522 rg 54.12592 -38.00119 7.97021 7.97021 re f Q q 1 0 0 1 58.11 -34.016 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 34.016 cm Q Q q 0.53485 0.53485 0.53485 rg q 0.53485 0.53485 0.53485 rg 62.63007 -38.00119 7.97021 7.97021 re f Q q 1 0 0 1 66.614 -34.016 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 34.016 cm Q Q q 0.6623 0.6623 0.6623 rg q 0.6623 0.6623 0.6623 rg 71.13419 -38.00119 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -34.016 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 34.016 cm Q Q q 0.85715 0.85715 0.85715 rg q 0.85715 0.85715 0.85715 rg 54.12592 -29.49704 7.97021 7.97021 re f Q q 1 0 0 1 58.11 -25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 25.512 cm Q Q q 0.8539 0.8539 0.8539 rg q 0.8539 0.8539 0.8539 rg 62.63007 -29.49704 7.97021 7.97021 re f Q q 1 0 0 1 66.614 -25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 25.512 cm Q Q q 0.13115 0.13115 0.13115 rg q 0.13115 0.13115 0.13115 rg 71.13419 -29.49704 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 25.512 cm Q Q q 0.38596 0.38596 0.38596 rg q 0.38596 0.38596 0.38596 rg 54.12592 -20.99292 7.97021 7.97021 re f Q q 1 0 0 1 58.11 -17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 17.008 cm Q Q q 0.86319 0.86319 0.86319 rg q 0.86319 0.86319 0.86319 rg 62.63007 -20.99292 7.97021 7.97021 re f Q q 1 0 0 1 66.614 -17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 17.008 cm Q Q q 0.5705 0.5705 0.5705 rg q 0.5705 0.5705 0.5705 rg 71.13419 -20.99292 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 17.008 cm Q Q q 0.2362 0.2362 0.2362 rg q 0.2362 0.2362 0.2362 rg 54.12592 -12.48878 7.97021 7.97021 re f Q q 1 0 0 1 58.11 -8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 8.504 cm Q Q q 0.20529 0.20529 0.20529 rg q 0.20529 0.20529 0.20529 rg 62.63007 -12.48878 7.97021 7.97021 re f Q q 1 0 0 1 66.614 -8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 8.504 cm Q Q q 0.72215 0.72215 0.72215 rg q 0.72215 0.72215 0.72215 rg 71.13419 -12.48878 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 8.504 cm Q Q q 0.13753 0.13753 0.13753 rg q 0.13753 0.13753 0.13753 rg 54.12592 -3.98468 7.97021 7.97021 re f Q q 1 0 0 1 58.11 0 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 0 cm Q Q q 0.7111 0.7111 0.7111 rg q 0.7111 0.7111 0.7111 rg 62.63007 -3.98468 7.97021 7.97021 re f Q q 1 0 0 1 66.614 0 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 0 cm Q Q q 0.686 0.686 0.686 rg q 0.686 0.686 0.686 rg 71.13419 -3.98468 7.97021 7.97021 re f Q q 1 0 0 1 75.118 0 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 0 cm Q Q q 0.37297 0.37297 0.37297 rg q 0.37297 0.37297 0.37297 rg 54.12592 4.51944 7.97021 7.97021 re f Q q 1 0 0 1 58.11 8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 -8.504 cm Q Q q 0.36673 0.36673 0.36673 rg q 0.36673 0.36673 0.36673 rg 62.63007 4.51944 7.97021 7.97021 re f Q q 1 0 0 1 66.614 8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 -8.504 cm Q Q q 0.19304 0.19304 0.19304 rg q 0.19304 0.19304 0.19304 rg 71.13419 4.51944 7.97021 7.97021 re f Q q 1 0 0 1 75.118 8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 -8.504 cm Q Q q 0.40034 0.40034 0.40034 rg q 0.40034 0.40034 0.40034 rg 54.12592 13.02357 7.97021 7.97021 re f Q q 1 0 0 1 58.11 17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 -17.008 cm Q Q q 0.23184 0.23184 0.23184 rg q 0.23184 0.23184 0.23184 rg 62.63007 13.02357 7.97021 7.97021 re f Q q 1 0 0 1 66.614 17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 -17.008 cm Q Q q 0.10172 0.10172 0.10172 rg q 0.10172 0.10172 0.10172 rg 71.13419 13.02357 7.97021 7.97021 re f Q q 1 0 0 1 75.118 17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 -17.008 cm Q Q q 0.88878 0.88878 0.88878 rg q 0.88878 0.88878 0.88878 rg 54.12592 21.5277 7.97021 7.97021 re f Q q 1 0 0 1 58.11 25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -58.11 -25.512 cm Q Q q 0.57483 0.57483 0.57483 rg q 0.57483 0.57483 0.57483 rg 62.63007 21.5277 7.97021 7.97021 re f Q q 1 0 0 1 66.614 25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -66.614 -25.512 cm Q Q q 0.8535 0.8535 0.8535 rg q 0.8535 0.8535 0.8535 rg 71.13419 21.5277 7.97021 7.97021 re f Q q 1 0 0 1 75.118 25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 -25.512 cm Q Q q 0.88705 0.55 0.76353 rg q 0.88705 0.55 0.76353 rg 71.13374 -38.00119 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -34.016 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 34.016 cm Q Q q 0.92471 0.7 0.84236 rg q 0.92471 0.7 0.84236 rg 71.13374 -29.49704 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 25.512 cm Q Q q 0.81177 0.25 0.60588 rg q 0.81177 0.25 0.60588 rg 71.13374 -20.99335 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 17.008 cm Q Q q 0.74902 0 0.47452 rg q 0.74902 0 0.47452 rg 71.13374 -12.48923 7.97021 7.97021 re f Q q 1 0 0 1 75.118 -8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 8.504 cm Q Q q 0.92471 0.7 0.84236 rg q 0.92471 0.7 0.84236 rg 71.13374 -3.9851 7.97021 7.97021 re f Q q 1 0 0 1 75.118 0 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 0 cm Q Q q 0.88705 0.55 0.76353 rg q 0.88705 0.55 0.76353 rg 71.13374 4.51901 7.97021 7.97021 re f Q q 1 0 0 1 75.118 8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 -8.504 cm Q Q q 0.87451 0.5 0.73726 rg q 0.87451 0.5 0.73726 rg 71.13374 13.02313 7.97021 7.97021 re f Q q 1 0 0 1 75.118 17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 -17.008 cm Q Q q 0.88705 0.55 0.76353 rg q 0.88705 0.55 0.76353 rg 71.13374 21.52682 7.97021 7.97021 re f Q q 1 0 0 1 75.118 25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -75.118 -25.512 cm Q Q q q 1 0 0 1 89.119 33.903 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -186.397 -697.341 cm BT /F151 8.9664 Tf 186.397 697.341 Td [ (Compr) 8 (ess) ] TJ /F186 8.9664 Tf 42.644 0 Td [ (W) ] TJ /F151 8.9664 Tf 8.527 0 Td [ (\054) -250 (up) -7 (date) ] TJ /F186 8.9664 Tf 35.61 1.878 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ ET 1 0 0 1 186.397 697.341 cm Q 1 0 0 1 -89.119 -33.903 cm Q Q q 1.59404 w 83.62299 0 m 112.18173 0 l S q 1 0 0 1 112.18173 0 cm q 1.27522 w [ ] 0 d 1 J 1 j -2.27148 3.02866 m -2.0822 1.8929 0 0.18927 0.56786 0 c 0 -0.18927 -2.0822 -1.8929 -2.27148 -3.02866 c S Q Q Q q 1.59404 w 115.51315 -38.26836 m 115.51315 -38.26836 m 115.51315 30.47272 l 142.44254 30.47272 l 142.44254 -38.26836 l h 142.44254 30.47272 m S Q q 0.51753 0.51753 0.51753 rg q 0.51753 0.51753 0.51753 rg 116.48882 -38.00119 7.97021 7.97021 re f Q q 1 0 0 1 120.472 -34.016 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 34.016 cm Q Q q 0.77551 0.77551 0.77551 rg q 0.77551 0.77551 0.77551 rg 124.99295 -38.00119 7.97021 7.97021 re f Q q 1 0 0 1 128.976 -34.016 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 34.016 cm Q Q q 0.86917 0.86917 0.86917 rg q 0.86917 0.86917 0.86917 rg 116.48882 -29.49704 7.97021 7.97021 re f Q q 1 0 0 1 120.472 -25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 25.512 cm Q Q q 0.51552 0.51552 0.51552 rg q 0.51552 0.51552 0.51552 rg 124.99295 -29.49704 7.97021 7.97021 re f Q q 1 0 0 1 128.976 -25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 25.512 cm Q Q q 0.68465 0.68465 0.68465 rg q 0.68465 0.68465 0.68465 rg 116.48882 -20.99292 7.97021 7.97021 re f Q q 1 0 0 1 120.472 -17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 17.008 cm Q Q q 0.63358 0.63358 0.63358 rg q 0.63358 0.63358 0.63358 rg 124.99295 -20.99292 7.97021 7.97021 re f Q q 1 0 0 1 128.976 -17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 17.008 cm Q Q q 0.15971 0.15971 0.15971 rg q 0.15971 0.15971 0.15971 rg 116.48882 -12.48878 7.97021 7.97021 re f Q q 1 0 0 1 120.472 -8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 8.504 cm Q Q q 0.23611 0.23611 0.23611 rg q 0.23611 0.23611 0.23611 rg 124.99295 -12.48878 7.97021 7.97021 re f Q q 1 0 0 1 128.976 -8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 8.504 cm Q Q q 0.6017 0.6017 0.6017 rg q 0.6017 0.6017 0.6017 rg 116.48882 -3.98468 7.97021 7.97021 re f Q q 1 0 0 1 120.472 0 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 0 cm Q Q q 0.1648 0.1648 0.1648 rg q 0.1648 0.1648 0.1648 rg 124.99295 -3.98468 7.97021 7.97021 re f Q q 1 0 0 1 128.976 0 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 0 cm Q Q q 0.10014 0.10014 0.10014 rg q 0.10014 0.10014 0.10014 rg 116.48882 4.51944 7.97021 7.97021 re f Q q 1 0 0 1 120.472 8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 -8.504 cm Q Q q 0.55765 0.55765 0.55765 rg q 0.55765 0.55765 0.55765 rg 124.99295 4.51944 7.97021 7.97021 re f Q q 1 0 0 1 128.976 8.504 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 -8.504 cm Q Q q 0.41371 0.41371 0.41371 rg q 0.41371 0.41371 0.41371 rg 116.48882 13.02357 7.97021 7.97021 re f Q q 1 0 0 1 120.472 17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 -17.008 cm Q Q q 0.34926 0.34926 0.34926 rg q 0.34926 0.34926 0.34926 rg 124.99295 13.02357 7.97021 7.97021 re f Q q 1 0 0 1 128.976 17.008 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 -17.008 cm Q Q q 0.4798 0.4798 0.4798 rg q 0.4798 0.4798 0.4798 rg 116.48882 21.5277 7.97021 7.97021 re f Q q 1 0 0 1 120.472 25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -120.472 -25.512 cm Q Q q 0.6549 0.6549 0.6549 rg q 0.6549 0.6549 0.6549 rg 124.99295 21.5277 7.97021 7.97021 re f Q q 1 0 0 1 128.976 25.512 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -128.976 -25.512 cm Q Q q q 1 0 0 1 146.308 -4.169 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -243.586 -659.269 cm BT /F151 8.9664 Tf 243.586 659.269 Td [ (\054) ] TJ ET 1 0 0 1 243.586 659.269 cm Q 1 0 0 1 -146.308 4.169 cm Q Q q 1.59404 w 155.90744 -9.92155 m 155.90744 -9.92155 m 155.90744 15.59082 l 181.4194 15.59082 l 181.4194 -9.92155 l h 181.4194 15.59082 m S Q q 0.3 g q 0.3 g 156.17418 7.35344 7.97021 7.97021 re f Q q 1 0 0 1 160.157 11.338 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -160.157 -11.338 cm Q Q q 0.7 g q 0.7 g 164.67831 -1.15025 7.97021 7.97021 re f Q q 1 0 0 1 168.661 2.835 cm 1 0 0 1 0 0 cm q 0 G 0 g Q 1 0 0 1 -168.661 -2.835 cm Q Q q 1.19553 w 148.82074 -11.33855 m 150.31287 -12.29352 152.12851 -11.09982 153.62067 -12.05481 c 154.70984 -12.75188 155.12022 -14.1924 155.53535 -15.63596 c 155.9505 -17.07951 156.36086 -18.52002 157.45004 -19.2171 c 158.53922 -19.91417 160.01915 -19.6835 161.50389 -19.45589 c 162.9886 -19.22824 164.46855 -18.99757 165.55774 -19.69466 c 166.64693 -20.39172 167.0573 -21.83224 167.47244 -23.2758 c 167.88759 -24.71935 168.29793 -26.15987 169.38713 -26.85695 c 170.4763 -27.55402 171.95622 -27.32335 173.44098 -27.09572 c 174.92567 -26.86809 176.40564 -26.63742 177.49483 -27.3345 c 179.11365 -28.37062 178.79015 -30.5193 180.28229 -31.47429 c 183.44498 -33.4982 l S q 0.84608 -0.54143 0.54143 0.84608 183.44498 -33.49818 cm q 0.9564 w [ ] 0 d 1 J 1 j -1.91284 2.55046 m -1.75343 1.59402 0 0.15938 0.4782 0 c 0 -0.15938 -1.75343 -1.59402 -1.91284 -2.55046 c S Q Q Q q q 1 0 0 1 148.366 -21.523 cm 0.81915 -0.57358 0.57358 0.81915 0 0 cm q 0 G 0 g 1 0 0 1 -245.644 -641.915 cm BT /F147 8.9664 Tf 245.644 641.915 Td [ (anytime) ] TJ ET 1 0 0 1 245.644 641.915 cm Q 1 0 0 1 -148.366 21.523 cm Q Q Q n Q 0 g 0 G 1 0 0 1 -97.278 -663.438 cm BT /F151 8.9664 Tf 53.798 599.266 Td [ (Figur) 8 (e) -387 (2\072) ] TJ /F199 8.9664 Tf 39.807 0 Td [ (FREDE) ] TJ /F151 8.9664 Tf 32.278 0 Td [ (samples) ] TJ /F186 8.9664 Tf 36.288 0 Td [ (log) ] TJ /F265 8.9664 Tf 11.369 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (PPR) ] TJ /F265 8.9664 Tf 14.985 0 Td [ () ] TJ /F151 8.9664 Tf 6.457 0 Td [ (r) 8 (o) 7 (ws\054) -387 (p) -7 (erio) -7 (dically) -387 (com\055) ] TJ -144.17 -10.959 Td [ (pr) 8 (esses) -278 (the) -278 (deriv) 8 (e) -7 (d) -278 (sketch) -278 (and) -278 (gets) -278 (singular) -278 (values) -278 (by) -278 (SVD) 29 (\054) ] TJ 0 -10.958 Td [ (and) -233 (yields) -233 (an) -232 (emb) -10 (e) -7 (dding) -233 (with) -233 (err) 8 (or) -233 (guarante) -7 (es) -233 (at) -232 (any) -233 (time) 10 (\056) ] TJ 0 g 0 G 0 g 0 G /F147 8.9664 Tf 1.02 0 0 1 53.798 560.364 Tm [ (the) -345 (details) -345 (of) ] TJ /F164 8.9664 Tf 1.02 0 0 1 107.618 560.364 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 137.177 560.364 Tm [ (and) -345 (Figur) 8 (e) -345 (2) -346 (sho) 7 (ws) -345 (its) -345 (w) 8 (ork\036o) 7 (w\073) -346 (it) -345 (com\055) ] TJ 1.02 0 0 1 53.798 549.405 Tm [ (putes) -334 (r) 8 (o) 7 (ws) -335 (of) -334 (the) ] TJ /F186 8.9664 Tf 1 0 0 1 123.79 549.405 Tm [ (PPR) ] TJ /F147 8.9664 Tf 1.02 0 0 1 141.832 549.405 Tm [ (matrix\054) -334 (and) -334 (hence) -335 (of) -334 (the) -334 (transforme) -7 (d) ] TJ /F186 8.9664 Tf 1.02 0 0 1 287.76 549.405 Tm [ (Y) ] TJ /F147 8.9664 Tf 1.02 0 0 1 293.019 549.405 Tm [ (\054) ] TJ 1.008 0 0 1 53.798 538.446 Tm [ (by) -249 (sampling) -249 (or) -249 (p) -7 (o) 7 (w) 8 (er) -249 (iterations\054) -249 (applies) -249 (the) -249 (SVD\055base) -7 (d) -248 (Fr) 7 (e) -6 (quent) ] TJ 1.003 0 0 1 53.798 527.488 Tm [ (Dir) 8 (e) -7 (ctions) -250 (sketching) -250 (pr) 8 (o) -7 (cess) -251 (p) -7 (erio) -7 (dically) -250 (with) -250 (each) ] TJ /F194 8.9664 Tf 1 0 0 1 244.99 527.488 Tm [ (d) ] TJ /F147 8.9664 Tf 1.003 0 0 1 252.298 527.488 Tm [ (r) 8 (o) 7 (ws) -250 (it) -250 (pr) 8 (o\055) ] TJ 0.98 0 0 1 53.798 516.529 Tm [ (cesses) -215 (\050Lines) -215 <38153132292c> -216 (and) -215 (r) 8 (eturns) -215 (emb) -10 (e) -7 (ddings) -216 (with) -215 (guarante) -7 (es) -215 (at) -215 (any) ] TJ 0.98 0 0 1 53.798 505.432 Tm [ (time) -249 (\050Lines) -250 <3134153135292e> -249 (W) 81 (e) -249 (ke) -7 (ep) -250 (track) -249 (of) -250 (singular) -249 (values) -250 (in) ] TJ /F186 8.9664 Tf 1 0 0 1 253.478 507.31 Tm [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F147 8.9664 Tf 0.98 0 0 1 259.942 505.432 Tm [ (alongside) ] TJ 0.98 0 0 1 53.798 494.473 Tm [ (the) -210 (sketch) -210 (so) -209 (as) -210 (to) -210 (av) 8 (oid) -210 (p) -7 (erforming) -209 (SVD) -210 (up) -7 (on) -210 (a) -210 (r) 8 (e) -7 (quest) -210 (for) -209 (output\073) ] TJ 1.016 0 0 1 53.798 480.91 Tm [ (as) -245 (in) -246 (\133) ] TJ 1 0 0 1 76.635 480.91 Tm [ (28) ] TJ 1.016 0 0 1 84.974 480.91 Tm [ (\135\054) -245 (w) 7 (e) -245 (multiply) -245 (by) ] TJ /F278 8.9664 Tf 1 0 0 1 150.764 490.356 Tm [ (p) ] TJ ET q 1 0 0 1 157.327 490.607 cm [ ] 0 d 0 J 0.502 w 0 0 m 5.416 0 l S Q BT /F186 8.9664 Tf 158.471 482.789 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.879 Td [ <06> ] TJ /F147 8.9664 Tf 1.016 0 0 1 164.979 480.91 Tm [ (at) -245 (output) -246 (time) -245 (\050Line) -246 (15\051\054) -245 (wher) 8 (eas) -246 (a) ] TJ 0.997 0 0 1 53.798 469.813 Tm [ (co) 7 (variance\055oriente) -7 (d) -250 (sketcher) -250 (w) 9 (ould) -250 (use) ] TJ /F186 8.9664 Tf 1 0 0 1 202.506 471.692 Tm [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.879 Td [ <06> ] TJ /F147 8.9664 Tf 0.997 0 0 1 206.778 469.813 Tm [ (\056) -250 (The) -250 (time) -249 (to) -250 (pr) 8 (o) -7 (cess) ] TJ /F156 8.9664 Tf 0.997 0 0 1 284.944 469.813 Tm [ (all) ] TJ /F194 8.9664 Tf 1 0 0 1 53.439 458.854 Tm [ (n) ] TJ /F147 8.9664 Tf 7.156 0 Td [ (no) -7 (des) -250 (with) ] TJ /F265 8.9664 Tf 42.975 0 Td [ (O) -51 () ] TJ /F370 5.6739 Tf 9.718 2.33 Td [ (n) ] TJ /F265 8.9664 Tf 3.621 -2.33 Td [ (\235) ] TJ /F370 5.6739 Tf 3.044 0 Td [ (d) ] TJ /F265 8.9664 Tf 4.13 0 Td [ () ] TJ /F147 8.9664 Tf 5.228 0 Td [ (SVD) -250 (iterations) -250 (costing) ] TJ /F265 8.9664 Tf 84.732 0 Td [ (O) -51 () ] TJ /F194 8.9664 Tf 9.298 0 Td [ (d) ] TJ /F186 7.2727 Tf 5.057 3.255 Td [ (2) ] TJ /F194 8.9664 Tf 3.521 -3.255 Td [ (n) ] TJ /F265 8.9664 Tf 4.914 0 Td [ () ] TJ /F147 8.9664 Tf 5.227 0 Td [ (is) ] TJ /F265 8.9664 Tf 8.393 0 Td [ (O) -51 () ] TJ /F194 8.9664 Tf 9.298 0 Td [ (d) -35 (n) ] TJ /F186 7.2727 Tf 9.612 3.255 Td [ (2) ] TJ /F265 8.9664 Tf 3.88 -3.255 Td [ () ] TJ /F147 8.9664 Tf 2.985 0 Td [ (\056) ] TJ /F156 8.9664 Tf 0.993 0 0 1 63.761 447.896 Tm [ (Sketch\055base) -7 (d) -250 (emb) -10 (e) -7 (ddings) ] TJ /F147 8.9664 Tf 0.993 0 0 1 155.552 447.896 Tm [ (inherit) -250 (the) -251 (co) 7 (variance) -250 (err) 8 (or) -250 (b) -10 (ounds) -251 (of) ] TJ 0.995 0 0 1 53.798 436.937 Tm [ (sketching) -251 (\050Se) -7 (ction) -251 (2\0566\051\054) -251 (which) -251 (hold) ] TJ /F156 8.9664 Tf 0.995 0 0 1 183.157 436.937 Tm [ (anytime) ] TJ /F147 8.9664 Tf 0.995 0 0 1 212.366 436.937 Tm [ (\054) -251 (e) 7 (v) 8 (en) -251 (after) -251 (pr) 8 (o) -7 (cessing) ] TJ 0.986 0 0 1 53.798 425.978 Tm [ (only) -254 (an) -253 (arbitrar) -15 (y) -254 (subset) -254 (of) -253 (r) 8 (o) 7 (ws\056) -254 (Thus\054) ] TJ /F164 8.9664 Tf 0.986 0 0 1 196.261 425.978 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.986 0 0 1 224.027 425.978 Tm [ (emb) -10 (e) -7 (ddings) -254 (inherit) ] TJ 0.98 0 0 1 53.798 415.019 Tm [ (the) ] TJ /F156 8.9664 Tf 0.98 0 0 1 67.002 415.019 Tm [ (anytime) -202 (err) 8 (or) -201 (guarante) -7 (es) ] TJ /F147 8.9664 Tf 0.98 0 0 1 155.998 415.019 Tm [ (of) -202 (Fr) 9 (e) -8 (quent) -201 (Dir) 8 (e) -7 (ctions\054) -202 (which) -202 (ar) 8 (e) -201 (valid) ] TJ 0.997 0 0 1 53.798 404.06 Tm [ (after) -251 (materializing) -250 (only) -251 (part) -250 (of) -251 (the) -250 (similarity) -251 (matrix\054) -250 (and) -251 (sup) -7 (erior) ] TJ 1.014 0 0 1 53.798 393.101 Tm [ (to) -248 (those) -247 (of) -248 (other) -248 (sketch\055base) -7 (d) -247 (emb) -10 (e) -7 (ddings\073) -248 (it) -248 (achie) 7 (v) 8 (es) ] TJ /F314 8.9664 Tf 1 0 0 1 257.898 393.101 Tm [ (ce) ] TJ /F265 8.9664 Tf 11.726 0 Td [ <14> ] TJ /F190 8.9664 Tf 8.148 0 Td [ <0f> ] TJ /F147 8.9664 Tf 1.014 0 0 1 284.534 393.101 Tm [ (on) ] TJ 1.018 0 0 1 53.798 382.142 Tm [ (the) -247 (submatrix) ] TJ /F186 8.9664 Tf 1.018 0 0 1 107.689 382.142 Tm [ (S) ] TJ /F265 7.2727 Tf 1 0 0 1 112.116 380.16 Tm [ (\273) ] TJ /F271 7.2727 Tf 2.312 0 Td [ (s) ] TJ /F265 7.2727 Tf 3.6 0 Td [ () ] TJ /F147 8.9664 Tf 1.018 0 0 1 123.199 382.142 Tm [ (built) -246 (fr) 7 (om) -246 (any) -247 (size\055) ] TJ /F194 8.9664 Tf 1 0 0 1 195.558 382.142 Tm [ (s) ] TJ /F147 8.9664 Tf 1.018 0 0 1 201.601 382.142 Tm [ (subset) -247 (of) -246 (pr) 8 (o) -7 (cesse) -7 (d) -246 (r) 7 (o) 7 (ws) ] TJ 0.98 0 0 1 53.529 371.183 Tm [ (\050no) -7 (des\051) -227 (when) ] TJ /F194 8.9664 Tf 1 0 0 1 103.342 371.183 Tm [ (d) ] TJ /F264 8.9664 Tf 7.548 0 Td [ (\075) ] TJ /F265 8.9664 Tf 8.417 0 Td [ (O) -51 () ] TJ /F271 7.2727 Tf 9.638 1.106 Td [ (n) ] TJ /F265 8.9664 Tf 3.578 -1.106 Td [ (\235) ] TJ /F267 7.2727 Tf 3.554 0 Td [ <0f> ] TJ /F265 8.9664 Tf 4.131 0 Td [ () ] TJ /F147 8.9664 Tf 0.98 0 0 1 145.187 371.183 Tm [ (\133) ] TJ 1 0 0 1 148.316 371.183 Tm [ (11) ] TJ 0.98 0 0 1 156.654 371.183 Tm [ (\135\054) -227 (indep) -7 (endently) -227 (of) ] TJ /F194 8.9664 Tf 1 0 0 1 226.082 371.183 Tm [ (s) ] TJ /F147 8.9664 Tf 0.98 0 0 1 229.874 371.183 Tm [ (\056) -227 (In) -227 (Se) -7 (ction) -227 (4\0568) -227 (w) 8 (e) ] TJ 1.005 0 0 1 53.798 360.224 Tm [ (sho) 7 (w) -249 (that) ] TJ /F164 8.9664 Tf 1.005 0 0 1 92.525 360.224 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.005 0 0 1 120.786 360.224 Tm [ (outp) -7 (erforms) -249 (other) -250 (sketch\055base) -7 (d) -249 (emb) -10 (e) -7 (ddings) -249 (in) ] TJ 1 0 0 1 53.798 349.265 Tm [ (anytime) -250 (no) -7 (de) -250 (classi\033cation\056) ] TJ ET q 1 0 0 1 53.798 340.418 cm [ ] 0 d 0 J 0.797 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 53.466 331.627 Td [ (Algorithm) -250 (1) ] TJ /F164 8.9664 Tf 51.853 0 Td [ (FREDE) ] TJ /F147 8.9664 Tf 28.127 0 Td [ (algorithm) ] TJ 0 g 0 G ET q 1 0 0 1 53.798 327.301 cm [ ] 0 d 0 J 0.398 w 0 0 m 240.247 0 l S Q 0 g 0 G 0 g 0 G BT /F147 6.9738 Tf 59.669 316.916 Td [ (1\072) ] TJ 0 g 0 G /F151 8.9664 Tf 9.372 0 Td [ (function) ] TJ /F164 8.9664 Tf 37.282 0 Td [ (FREDE) ] TJ /F147 8.9664 Tf 25.886 0 Td [ (\050) ] TJ /F194 8.9664 Tf 2.224 0 Td [ (G) ] TJ /F196 8.9664 Tf 6.446 0 Td [ (\073) ] TJ /F194 8.9664 Tf 3.378 0 Td [ (n) ] TJ /F196 8.9664 Tf 4.824 0 Td [ (\073) ] TJ /F194 8.9664 Tf 3.287 0 Td [ (d) ] TJ /F147 8.9664 Tf 5.057 0 Td [ (\051) ] TJ 0 g 0 G /F147 6.9738 Tf -97.756 -11.189 Td [ (2\072) ] TJ 0 g 0 G /F186 8.9664 Tf 22.821 0 Td [ (W) ] TJ /F265 8.9664 Tf 11.018 0 Td [ (\040) ] TJ /F314 8.9664 Tf 11.672 0 Td [ (zeros) ] TJ /F265 8.9664 Tf 22.416 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (2) ] TJ /F194 8.9664 Tf 3.721 0 Td [ (d) ] TJ /F196 8.9664 Tf 4.967 0 Td [ (\073) ] TJ /F194 8.9664 Tf 3.378 0 Td [ (n) ] TJ /F265 8.9664 Tf 4.913 0 Td [ () ] TJ /F196 8.9664 Tf 37.985 0 Td [ (\056) ] TJ /F147 8.9664 Tf 8.293 0 Td [ (all) -250 (zer) 8 (os) -250 (matrix) ] TJ /F186 8.9664 Tf 58.82 0 Td [ (W) ] TJ /F265 8.9664 Tf 11.197 0 Td [ (2) ] TJ /F186 8.9664 Tf 7.476 0 Td [ (R) ] TJ /F186 7.2727 Tf 5.284 3.255 Td [ (2) ] TJ /F271 7.2727 Tf 3.2 0 Td [ (d) ] TJ /F265 7.2727 Tf 4.64 0 Td [ <02> ] TJ /F271 7.2727 Tf 4.516 0 Td [ (n) ] TJ 0 g 0 G /F147 6.9738 Tf -229.303 -14.395 Td [ (3\072) ] TJ 0 g 0 G /F186 8.9664 Tf 23.965 1.878 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F265 8.9664 Tf 7.727 0 Td [ (\040) ] TJ /F186 8.9664 Tf 11.672 0 Td [ (I) ] TJ /F265 8.9664 Tf 2.663 0 Td [ () ] TJ /F186 8.9664 Tf 2.986 0 Td [ (2) ] TJ /F194 8.9664 Tf 3.721 0 Td [ (d) ] TJ /F265 8.9664 Tf 5.057 0 Td [ () ] TJ /F196 8.9664 Tf 36.768 0 Td [ (\056) ] TJ /F147 8.9664 Tf 8.293 0 Td [ (diagonal) -250 (identity) -250 (matrix) ] TJ /F186 8.9664 Tf 91.982 1.878 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F265 8.9664 Tf 7.906 0 Td [ (2) ] TJ /F186 8.9664 Tf 7.476 0 Td [ (R) ] TJ /F186 7.2727 Tf 5.284 3.255 Td [ (2) ] TJ /F271 7.2727 Tf 3.2 0 Td [ (d) ] TJ /F265 7.2727 Tf 4.64 0 Td [ <02> ] TJ /F186 7.2727 Tf 4.626 0 Td [ (2) ] TJ /F271 7.2727 Tf 3.2 0 Td [ (d) ] TJ 0 g 0 G /F147 6.9738 Tf -229.238 -14.214 Td [ (4\072) ] TJ 0 g 0 G /F151 8.9664 Tf 22.821 0 Td [ (for) ] TJ /F190 8.9664 Tf 13.943 0 Td [ (v) ] TJ /F265 8.9664 Tf 8.149 0 Td [ (2) ] TJ /F194 8.9664 Tf 6.893 0 Td [ (V) ] TJ /F151 8.9664 Tf 8.984 0 Td [ (do) ] TJ 0 g 0 G /F147 6.9738 Tf -60.79 -10.959 Td [ (5\072) ] TJ 0 g 0 G /F194 8.9664 Tf 36.002 0 Td [ (x) ] TJ /F265 8.9664 Tf 7.557 0 Td [ (\040) ] TJ /F314 8.9664 Tf 11.672 0 Td [ (PersonalizedPageRank) ] TJ /F265 8.9664 Tf 89.664 0 Td [ () ] TJ /F190 8.9664 Tf 2.403 0 Td [ (v) ] TJ /F265 8.9664 Tf 5.478 0 Td [ () ] TJ 0 g 0 G /F147 6.9738 Tf -152.776 -10.959 Td [ (6\072) ] TJ 0 g 0 G /F190 8.9664 Tf 35.733 0 Td [ (y) ] TJ /F265 8.9664 Tf 7.521 0 Td [ (\040) ] TJ /F186 8.9664 Tf 11.672 0 Td [ (log) ] TJ /F194 8.9664 Tf 12.595 0 Td [ (x) ] TJ /F264 8.9664 Tf 7.058 0 Td [ (\053) ] TJ /F186 8.9664 Tf 7.695 0 Td [ (log) ] TJ /F194 8.9664 Tf 12.506 0 Td [ (n) ] TJ /F196 8.9664 Tf 48.462 0 Td [ (\056) ] TJ /F147 8.9664 Tf 6.052 0 Td [ (PPR\055like) -250 (similarity) -250 (r) 8 (o) 7 (w) ] TJ 0 g 0 G /F147 6.9738 Tf -149.294 -10.959 Td [ (7\072) ] TJ 0 g 0 G /F147 8.9664 Tf 36.271 0 Td [ (Insert) ] TJ /F190 8.9664 Tf 22.9 0 Td [ (y) ] TJ /F147 8.9664 Tf 7.272 0 Td [ (into) -250 (the) -250 (last) -250 (zer) 8 (o) -250 (value) -7 (d) -250 (r) 8 (o) 7 (w) -250 (of) ] TJ /F186 8.9664 Tf 116.392 0 Td [ (W) ] TJ 0 g 0 G /F147 6.9738 Tf -182.835 -10.959 Td [ (8\072) ] TJ 0 g 0 G /F151 8.9664 Tf 36.271 0 Td [ (if) ] TJ /F186 8.9664 Tf 9.155 0 Td [ (W) ] TJ /F147 8.9664 Tf 10.768 0 Td [ (has) -250 (no) -250 (zer) 8 (o) -250 (value) -7 (d) -250 (r) 8 (o) 7 (ws) ] TJ /F151 8.9664 Tf 90.803 0 Td [ (then) ] TJ 0 g 0 G /F147 6.9738 Tf -146.997 -10.959 Td [ (9\072) ] TJ 0 g 0 G /F186 8.9664 Tf 49.721 0 Td [ (U) ] TJ /F196 8.9664 Tf 5.837 0 Td [ (\073) ] TJ /F252 8.9664 Tf 3.915 0 Td [ <06> ] TJ /F196 8.9664 Tf 5.147 0 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (V) ] TJ /F265 7.2727 Tf 5.846 3.255 Td [ (\076) ] TJ /F265 8.9664 Tf 8.167 -3.255 Td [ (\040) ] TJ /F314 8.9664 Tf 11.672 0 Td [ (SVD) ] TJ /F265 8.9664 Tf 13.45 0 Td [ () ] TJ /F186 8.9664 Tf 4.129 1.879 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.879 Td [ <06> ] TJ /F186 8.9664 Tf 5.236 0 Td [ (W) ] TJ /F265 8.9664 Tf 8.527 0 Td [ () ] TJ /F196 8.9664 Tf 2.896 0 Td [ (\073) ] TJ /F190 8.9664 Tf 3.512 0 Td [ (\033) ] TJ /F265 8.9664 Tf 8.193 0 Td [ (\040) ] TJ /F252 8.9664 Tf 11.852 0 Td [ <06> ] TJ /F271 7.2727 Tf 5.144 -1.964 Td [ (d) ] TJ /F269 7.2727 Tf 4.24 0 Td [ (\073) ] TJ /F271 7.2727 Tf 2.524 0 Td [ (d) ] TJ 0 g 0 G /F147 6.9738 Tf -166.023 -13.088 Td [ (10\072) ] TJ 0 g 0 G /F186 8.9664 Tf 54.107 1.878 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F186 7.2727 Tf 5.326 -1.964 Td [ (\072) ] TJ /F271 7.2727 Tf 1.535 0 Td [ (d) ] TJ /F265 8.9664 Tf 7.628 1.964 Td [ (\040) ] TJ /F278 8.9664 Tf 11.673 10.041 Td [ (q) ] TJ ET q 1 0 0 1 143.119 224.073 cm [ ] 0 d 0 J 0.502 w 0 0 m 68.205 0 l S Q BT /F186 8.9664 Tf 143.119 213.781 Td [ (max) ] TJ /F265 8.9664 Tf 15.574 0 Td [ () ] TJ /F252 8.9664 Tf 3.165 0 Td [ <06> ] TJ /F186 7.2727 Tf 5.237 3.255 Td [ (2) ] TJ 0.089 -7.158 Td [ (\072) ] TJ /F271 7.2727 Tf 1.535 0 Td [ (d) ] TJ /F265 8.9664 Tf 7.131 3.903 Td [ <00> ] TJ /F190 8.9664 Tf 7.471 0 Td [ (\033) ] TJ /F186 7.2727 Tf 5.702 2.591 Td [ (2) ] TJ /F186 8.9664 Tf 3.88 -2.591 Td [ (I) ] TJ /F271 7.2727 Tf 2.481 -1.964 Td [ (d) ] TJ /F196 8.9664 Tf 5.049 1.964 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (0) ] TJ /F265 8.9664 Tf 4.169 0 Td [ () ] TJ /F196 8.9664 Tf 5.895 0 Td [ (\056) ] TJ /F147 8.9664 Tf 6.052 0 Td [ (set) ] TJ /F194 8.9664 Tf 12.132 0 Td [ (d) ] TJ /F186 7.2727 Tf 5.057 3.255 Td [ (th) ] TJ /F147 8.9664 Tf 8.95 -3.255 Td [ (r) 8 (o) 7 (w) -250 (of) ] TJ /F186 8.9664 Tf 27.343 1.878 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F147 8.9664 Tf 7.478 0 Td [ (to) ] TJ /F186 8.9664 Tf 9.594 0 Td [ (0) ] TJ 0 g 0 G /F147 6.9738 Tf -233.449 -14.649 Td [ (11\072) ] TJ 0 g 0 G /F186 8.9664 Tf 54.107 1.878 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F271 7.2727 Tf 5.144 -1.964 Td [ (d) ] TJ /F186 7.2727 Tf 4.64 0 Td [ (\072) ] TJ /F265 8.9664 Tf 4.705 1.964 Td [ (\040) ] TJ /F186 8.9664 Tf 11.672 0 Td [ (I) ] TJ /F271 7.2727 Tf 2.482 -1.964 Td [ (d) ] TJ /F196 8.9664 Tf 57.346 1.964 Td [ (\056) ] TJ /F147 8.9664 Tf 6.052 0 Td [ (set) -250 (last) ] TJ /F194 8.9664 Tf 27.168 0 Td [ (d) ] TJ /F147 8.9664 Tf 7.299 0 Td [ (entries) -250 (of) ] TJ /F186 8.9664 Tf 37.896 1.878 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F147 8.9664 Tf 7.478 0 Td [ (to) ] TJ /F186 8.9664 Tf 9.594 0 Td [ (1) ] TJ 0 g 0 G /F147 6.9738 Tf -233.655 -10.959 Td [ (12\072) ] TJ 0 g 0 G /F186 8.9664 Tf 52.963 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.964 Td [ (\072) ] TJ /F271 7.2727 Tf 1.535 0 Td [ (d) ] TJ /F265 8.9664 Tf 7.629 1.964 Td [ (\040) ] TJ /F186 8.9664 Tf 11.672 0 Td [ (V) ] TJ /F265 7.2727 Tf 5.846 3.255 Td [ (\076) ] TJ /F186 7.2727 Tf 0 -7.136 Td [ (\072) ] TJ /F271 7.2727 Tf 1.535 0 Td [ (d) ] TJ /F196 8.9664 Tf 5.048 3.881 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F271 7.2727 Tf 8.345 -1.964 Td [ (d) ] TJ /F186 7.2727 Tf 4.64 0 Td [ (\072) ] TJ /F265 8.9664 Tf 4.705 1.964 Td [ (\040) ] TJ /F385 8.9664 Tf 11.673 0 Td [ (0) ] TJ /F271 7.2727 Tf 4.211 -1.964 Td [ (d) ] TJ /F265 7.2727 Tf 4.64 0 Td [ <02> ] TJ /F271 7.2727 Tf 4.517 0 Td [ (n) ] TJ /F196 8.9664 Tf 12.83 1.964 Td [ (\056) ] TJ /F147 8.9664 Tf 6.052 0 Td [ (zer) 8 (o) -250 (last) ] TJ /F194 8.9664 Tf 32.423 0 Td [ (d) ] TJ /F147 8.9664 Tf 7.298 0 Td [ (r) 8 (o) 7 (ws) -250 (of) ] TJ /F186 8.9664 Tf 29.697 0 Td [ (W) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F147 6.9738 Tf -229.522 -14.924 Td [ (13\072) ] TJ 0 g 0 G /F151 8.9664 Tf 26.064 0 Td [ (r) 8 (eturn) ] TJ /F186 8.9664 Tf 29.468 1.879 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.879 Td [ <06> ] TJ /F196 8.9664 Tf 5.147 0 Td [ (\073) ] TJ /F186 8.9664 Tf 3.736 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.963 Td [ (\072) ] TJ /F271 7.2727 Tf 1.535 0 Td [ (d) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G /F147 6.9738 Tf -73.513 -11.043 Td [ (14\072) ] TJ 0 g 0 G /F151 8.9664 Tf 12.615 0 Td [ (function) ] TJ /F164 8.9664 Tf 37.282 0 Td [ (GetEmbedding) ] TJ /F147 8.9664 Tf 58.129 0 Td [ (\050) ] TJ /F194 8.9664 Tf 2.313 0 Td [ (k) ] TJ /F265 8.9664 Tf 7.79 0 Td [ <14> ] TJ /F194 8.9664 Tf 8.014 0 Td [ (d) ] TJ /F147 8.9664 Tf 5.057 0 Td [ (\051) ] TJ /F196 8.9664 Tf 66.061 0 Td [ (\056) ] TJ /F147 8.9664 Tf 8.294 0 Td [ (Anytime) ] TJ 0 g 0 G /F147 6.9738 Tf -205.555 -13.513 Td [ (15\072) ] TJ 0 g 0 G /F151 8.9664 Tf 26.064 0 Td [ (r) 8 (eturn) ] TJ /F278 8.9664 Tf 28.325 9.446 Td [ (p) ] TJ ET q 1 0 0 1 117.379 156.427 cm [ ] 0 d 0 J 0.502 w 0 0 m 5.416 0 l S Q BT /F186 8.9664 Tf 118.522 148.608 Td [ (\136) ] TJ /F252 8.9664 Tf -0.964 -1.878 Td [ <06> ] TJ /F186 8.9664 Tf 5.236 0 Td [ (W) ] TJ /F186 7.2727 Tf 8.527 -1.964 Td [ (\072) ] TJ /F271 7.2727 Tf 1.607 0 Td [ (k) ] TJ /F196 8.9664 Tf 111.066 1.964 Td [ (\056) ] TJ /F147 8.9664 Tf 8.294 0 Td [ (\033rst) ] TJ /F194 8.9664 Tf 16.57 0 Td [ (k) ] TJ /F147 8.9664 Tf 7.272 0 Td [ (r) 8 (o) 7 (ws) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q 1 0 0 1 53.798 140.697 cm [ ] 0 d 0 J 0.398 w 0 0 m 240.247 0 l S Q BT /F151 10.9091 Tf 53.798 109.31 Td [ (3\0563) -1000 (Parallelization) -250 (and) -250 (distribution) ] TJ /F147 8.9664 Tf 1.02 0 0 1 53.529 95.611 Tm [ (The) -275 (steps) -276 (of) -275 (Algorithm) -276 (1) -275 (ar) 8 (e) -276 (parallelizable) 10 (\056) -275 (Line) -276 (5) -275 (could) -276 (emplo) 7 (y) ] TJ 0.98 0 0 1 53.798 84.653 Tm [ (appr) 8 (o) 7 (ximate) -204 (PPR) -204 (\133) ] TJ 1 0 0 1 120.232 84.653 Tm [ (41) ] TJ 0.98 0 0 1 128.57 84.653 Tm [ (\054) ] TJ 1 0 0 1 132.299 84.653 Tm [ (43) ] TJ 0.98 0 0 1 140.638 84.653 Tm [ (\135\054) -204 (and) -205 (Line) -204 (9) -204 (e\034cient) -205 (SVD) -204 (calculations) -204 (\133) ] TJ 1 0 0 1 282.025 84.653 Tm [ (13) ] TJ 0.98 0 0 1 290.364 84.653 Tm [ (\135\056) ] TJ 0 g 0 G 0 g 0 G 0.98 0 0 1 317.955 698.351 Tm [ (Such) -184 (sp) -7 (e) -7 (e) -7 (dups) -184 (trade) -184 (quality) -184 (for) -184 (scalability) 60 (\056) -184 (Furthermor) 8 (e) 10 (\054) ] TJ /F164 8.9664 Tf 0.98 0 0 1 518.678 698.351 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 545.662 698.351 Tm [ (can) ] TJ 0.981 0 0 1 317.955 687.392 Tm [ (b) -10 (e) -257 (e\034ciently) ] TJ /F156 8.9664 Tf 0.981 0 0 1 366.526 687.392 Tm [ (distribute) -7 (d) ] TJ /F147 8.9664 Tf 0.981 0 0 1 406.781 687.392 Tm [ (acr) 8 (oss) -256 (machines) -257 (for) -256 (the) -256 (sake) -257 (of) -256 (scalability) 60 (\054) ] TJ 0.98 0 0 1 317.623 676.433 Tm [ (with) -240 (v) 9 (er) -16 (y) -239 (small) -240 (communication) -239 (o) 7 (v) 8 (erhead) -239 (and) ] TJ /F156 8.9664 Tf 0.98 0 0 1 484.084 676.433 Tm [ (pr) 8 (eser) -15 (ving) ] TJ /F147 8.9664 Tf 0.98 0 0 1 522.641 676.433 Tm [ (its) -239 (quality) ] TJ 1.02 0 0 1 317.955 665.474 Tm [ (guarante) -7 (es\056) -278 (This) -278 (app) -7 (eal) 1 (ing) -278 (characteristic\054) -278 (unique) -278 (among) -278 (r) 8 (elate) -7 (d) ] TJ 0.983 0 0 1 317.623 654.516 Tm [ (w) 8 (orks) -253 (on) -253 (emb) -10 (e) -7 (ddings\054) -254 (follo) 7 (ws) -253 (fr) 8 (om) -253 (the) -253 (mergeability) -253 (pr) 8 (op) -7 (erty) -253 (that) ] TJ /F164 8.9664 Tf 1.004 0 0 1 317.955 643.557 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.004 0 0 1 346.192 643.557 Tm [ (inherits) -250 (fr) 8 (om) -249 (Fr) 8 (e) -7 (quent) -250 (Dir) 8 (e) -7 (ctions\056) -250 (In) -250 (each) -249 (machine) ] TJ /F194 8.9664 Tf 1 0 0 1 536.007 643.557 Tm [ (m) ] TJ /F147 8.9664 Tf 1.004 0 0 1 543.296 643.557 Tm [ (\054) -250 (w) 8 (e) ] TJ 1.02 0 0 1 317.955 632.598 Tm [ (may) -251 (cr) 8 (eate) -251 (a) -252 (partial) -251 (emb) -10 (e) -6 (dding) -252 (matrix) ] TJ /F194 8.9664 Tf 1 0 0 1 463.989 632.598 Tm [ (W) ] TJ /F147 8.9664 Tf 1.02 0 0 1 475.593 632.598 Tm [ (base) -7 (d) -251 (on) -251 (the) -251 (subset) -251 (of) ] TJ 0.991 0 0 1 317.955 621.639 Tm [ (the) -253 (no) -7 (des) -254 (available) -253 (to) ] TJ /F194 8.9664 Tf 1 0 0 1 398.58 621.639 Tm [ (m) ] TJ /F147 8.9664 Tf 0.991 0 0 1 405.87 621.639 Tm [ (\054) -253 (and) -254 (then) ] TJ /F314 8.9664 Tf 1 0 0 1 444.326 621.639 Tm [ (merge) ] TJ /F147 8.9664 Tf 0.991 0 0 1 468.993 621.639 Tm [ (partial) -253 (emb) -10 (e) -7 (ddings) -254 (fr) 8 (om) ] TJ /F194 8.9664 Tf 1 0 0 1 317.641 610.68 Tm [ (t) ] TJ /F147 8.9664 Tf 0.985 0 0 1 323.485 610.68 Tm [ (ser) -15 (v) 8 (ers\054) -254 (i\056e) 11 (\056\054) -254 (iterativ) 8 (ely) -253 (sketch) -254 (their) -253 (concatenations) -254 (by) -253 (Equation) -254 (2) ] TJ 1 0 0 1 317.955 599.721 Tm [ (in) -250 (hierar) 8 (chical) -250 (fashion\054) -250 (incurring) -250 (a) ] TJ /F186 8.9664 Tf 129.259 0 Td [ (log) ] TJ /F186 7.2727 Tf 11.369 -2.498 Td [ (2) ] TJ /F194 8.9664 Tf 5.061 2.498 Td [ (t) ] TJ /F147 8.9664 Tf 5.846 0 Td [ (time) -250 (comple) 7 (xity) -250 (factor) 59 (\056) ] TJ /F151 10.9091 Tf -151.535 -21.186 Td [ (4) -1000 (EXPERIMEN) -37 (TS) ] TJ /F147 8.9664 Tf 1.02 0 0 1 317.686 564.836 Tm [ (The) -363 (primar) -15 (y) -363 (advantage) -364 (of) ] TJ /F164 8.9664 Tf 1.02 0 0 1 422.15 564.836 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 451.875 564.836 Tm [ (is) -363 (its) ] TJ /F156 8.9664 Tf 1.02 0 0 1 473.501 564.836 Tm [ (anytime) ] TJ /F147 8.9664 Tf 1.02 0 0 1 506.977 564.836 Tm [ (character) 58 (\054) -364 (i\056e) 10 (\056\054) ] TJ 1.02 0 0 1 317.955 553.877 Tm [ (its) -278 (ability) -278 (to) -277 (deriv) 7 (e) -277 (emb) -10 (e) -7 (ddings) -278 (by) -278 (pr) 8 (o) -7 (cessing) -277 (only) -278 (a) -278 (fraction) -278 (of) ] TJ 1.02 0 0 1 317.955 542.918 Tm [ (similarity) -316 (matrix) -317 (r) 8 (o) 7 (ws\056) -317 (On) -316 (that) -317 (fr) 8 (ont\054) -316 (it) -317 (may) -316 (only) -317 (b) -9 (e) -317 (compar) 8 (e) -7 (d) ] TJ 1.02 0 0 1 317.955 531.959 Tm [ (against) -322 (other) -321 (sketch\055base) -7 (d) -322 (emb) -10 (e) -7 (ddings\056) -322 (Her) 8 (e) 10 (\054) -322 (w) 8 (e) -322 (also) -322 (compar) 8 (e) ] TJ /F164 8.9664 Tf 1.02 0 0 1 317.955 521 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 347.009 521 Tm [ (on) -290 (qualitativ) 8 (e) -290 (p) -7 (erformance) -290 (in) -289 (data) -290 (science) -290 (tasks) -290 (against) ] TJ 1 0 0 1 317.955 510.041 Tm [ (other) -250 (graph) -250 (emb) -10 (e) -7 (ddings) -250 (to) -250 (corr) 8 (ob) -10 (orate) -250 (its) -250 (practical) -250 (impact\056) ] TJ /F151 10.9091 Tf 0 -21.186 Td [ (4\0561) -1000 (Compar) 8 (e) -7 (d) -250 (metho) -7 (ds) ] TJ /F147 8.9664 Tf 0.981 0 0 1 317.525 475.156 Tm [ (W) 82 (e) -254 (e) 7 (valuate) ] TJ /F164 8.9664 Tf 0.981 0 0 1 363.553 475.156 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.981 0 0 1 391.18 475.156 Tm [ (against) -254 (thr) 8 (e) -7 (e) -254 (sketching) -253 (baselines\054) -254 (e) 7 (xact) -254 (matrix) ] TJ 1.02 0 0 1 317.955 464.198 Tm [ (factorization) -313 (by) -312 (SVD) 28 (\054) -313 (and) -312 (all) -313 (metho) -7 (ds) -312 (in) -313 (T) 48 (able) -313 (1) -312 (bar) -313 (those) -313 (that) ] TJ 0.984 0 0 1 317.686 453.239 Tm [ (\050i\051) -253 (use) -253 (linear) -253 (transforms\054) -253 (which) -253 (pr) 8 (e) 8 (vious) -253 (w) 8 (ork) -253 (\133) ] TJ 1 0 0 1 490.105 453.239 Tm [ (36) ] TJ 0.984 0 0 1 498.444 453.239 Tm [ (\135) -253 (has) -253 (establishe) -7 (d) ] TJ 1.02 0 0 1 317.955 442.28 Tm [ (underp) -7 (erform) -337 (nonlinear) -338 (ones) -338 (\050i\056e) 10 (\056\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 451.113 442.28 Tm [ (HOPE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 474.252 442.28 Tm [ (\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 479.352 442.28 Tm [ (AROPE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 507.539 442.28 Tm [ (\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 512.639 442.28 Tm [ (Appro) 25 (xPPR) ] TJ /F147 8.9664 Tf 1.02 0 0 1 557.176 442.28 Tm [ (\054) ] TJ /F164 8.9664 Tf 0.98 0 0 1 317.955 431.321 Tm [ (NRP) ] TJ /F147 8.9664 Tf 0.98 0 0 1 334.009 431.321 Tm [ (\051\054) -215 (\050ii\051) -215 (r) 8 (e) -7 (quir) 8 (e) -215 (heav) -15 (y) -216 (hyp) -7 (erparameter) -215 (tuning) -215 (\050i\056e) 10 (\056\054) ] TJ /F164 8.9664 Tf 0.98 0 0 1 505.426 431.321 Tm [ (Node) ] TJ /F147 8.9664 Tf 0.98 0 0 1 525.671 431.321 Tm [ (2) ] TJ /F164 8.9664 Tf 0.98 0 0 1 529.757 431.321 Tm [ (vec) ] TJ /F147 8.9664 Tf 0.98 0 0 1 544.977 431.321 Tm [ (and) ] TJ /F164 8.9664 Tf 1 0 0 1 317.955 420.362 Tm [ (NodeSket) 25 (ch) ] TJ /F147 8.9664 Tf 48.66 0 Td [ (\051\054) -250 (or) -250 (\050iii\051) -250 (underp) -7 (erform) ] TJ /F164 8.9664 Tf 85.378 0 Td [ (DeepW) 120 (alk) ] TJ /F147 8.9664 Tf 42.483 0 Td [ (\050i\056e) 10 (\056\054) ] TJ /F164 8.9664 Tf 17.179 0 Td [ (LINE) ] TJ /F147 8.9664 Tf 18.659 0 Td [ (\051\072) ] TJ 0 g 0 G /F265 8.9664 Tf -212.359 -12.892 Td [ <0f> ] TJ 0 g 0 G /F147 8.9664 Tf 1.015 0 0 1 329.293 407.47 Tm [ (Sketching) -247 (baselines\054) -247 (i\056e) 10 (\056\054) ] TJ /F151 8.9664 Tf 1 0 0 1 420.933 407.47 Tm [ (Hashing) ] TJ /F147 8.9664 Tf 1.015 0 0 1 455.257 407.47 Tm [ (\054) ] TJ /F151 8.9664 Tf 1 0 0 1 459.508 407.47 Tm [ (Random) -251 (Pr) 8 (oje) -7 (ctions) ] TJ /F147 8.9664 Tf 1.015 0 0 1 544.505 407.47 Tm [ (and) ] TJ /F151 8.9664 Tf 1 0 0 1 317.955 396.511 Tm [ (Sampling) ] TJ /F147 8.9664 Tf 0.983 0 0 1 358.579 396.511 Tm [ (\050Se) -7 (ction) -255 (2\0566\051\054) -255 (compute) -255 (the) -255 (sketch) -255 (and) -255 (\033lter) -255 (singular) -255 (val\055) ] TJ 1.018 0 0 1 317.955 385.552 Tm [ (ues) -246 (as) -246 (in) ] TJ /F164 8.9664 Tf 1.018 0 0 1 352.328 385.552 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.018 0 0 1 378.68 385.552 Tm [ (\056) -246 (Our) ] TJ /F151 8.9664 Tf 1 0 0 1 399.827 385.552 Tm [ (Random) -250 (Pr) 8 (oje) -7 (ctions) ] TJ /F147 8.9664 Tf 1.018 0 0 1 484.816 385.552 Tm [ (baseline) -246 (is) -246 (a) -246 (r) 8 (e\033ne) -7 (d) ] TJ 1.019 0 0 1 317.731 374.593 Tm [ (variant) -245 (of) -244 (\133) ] TJ 1 0 0 1 359.499 374.593 Tm [ (46) ] TJ 1.019 0 0 1 367.838 374.593 Tm [ (\135\054) -245 (substituting) -244 (a) -245 (crude) -245 (higher\055or) 8 (der) -245 (matrix) -245 (a) 1 (ppr) 7 (o) 7 (xi\055) ] TJ 1.02 0 0 1 317.955 363.634 Tm [ (mation) -274 (with) -274 (the) -275 (r) 8 (o) 7 (w\055up) -7 (date) -274 (sketching) -274 (algorithm) -274 (applie) -7 (d) -275 (on) -274 (the) ] TJ 1 0 0 1 317.955 352.676 Tm [ (transforme) -7 (d) -250 (PPR) -250 (matrix\054) -250 (and) ] TJ /F151 8.9664 Tf 108.52 0 Td [ (hashing) ] TJ /F147 8.9664 Tf 34.789 0 Td [ (is) -250 (a) -250 (variant) -250 (of) -250 (\13326\135\056) ] TJ 0 g 0 G /F265 8.9664 Tf -143.309 -10.959 Td [ <0f> ] TJ 0 g 0 G /F147 8.9664 Tf 0.983 0 0 1 329.293 341.717 Tm [ (SVD) -254 (is) -254 (the) ] TJ /F151 8.9664 Tf 1 0 0 1 369.508 341.717 Tm [ (e) 7 (xact) -250 (SVD) -250 (de) -7 (comp) -7 (osition) ] TJ /F147 8.9664 Tf 0.983 0 0 1 474.904 341.717 Tm [ (of) -254 (the) -254 (nonlinearly) -255 (tran\055) ] TJ 0.98 0 0 1 317.955 330.758 Tm [ (forme) -7 (d) -177 (PPR) -176 (matrix) ] TJ /F186 8.9664 Tf 0.98 0 0 1 386.761 330.758 Tm [ (Y) ] TJ /F147 8.9664 Tf 0.98 0 0 1 393.364 330.758 Tm [ (with) -176 (the) -177 (same) -176 (parameters) -177 (as) -176 (in) ] TJ /F164 8.9664 Tf 0.98 0 0 1 503.577 330.758 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 528.946 330.758 Tm [ (\054) -176 (against) ] TJ 1 0 0 1 317.623 319.799 Tm [ (which) -250 (w) 8 (e) -250 (w) 8 (er) 8 (e) -250 (able) -250 (to) -250 (compar) 8 (e) -250 (on) -250 (the) -250 (thr) 8 (e) -7 (e) -250 (smallest) -250 (datasets\056) ] TJ 0 g 0 G /F265 8.9664 Tf 0.332 -10.959 Td [ <0f> ] TJ 0 g 0 G /F164 8.9664 Tf 0.98 0 0 1 329.293 308.84 Tm [ (DeepW) 122 (alk) ] TJ /F147 7.2727 Tf 1 0 0 1 368.708 312.095 Tm [ (2) ] TJ /F147 8.9664 Tf 0.98 0 0 1 374.818 308.84 Tm [ (\133) ] TJ 1 0 0 1 377.946 308.84 Tm [ (25) ] TJ 0.98 0 0 1 386.284 308.84 Tm [ (\135) -254 (learns) -253 (an) -254 (emb) -10 (e) -8 (dding) -253 (by) -254 (sampling) -254 (\033xe) -7 (d\055length) ] TJ 0.98 0 0 1 317.955 297.881 Tm [ (random) -254 (walks) -253 (fr) 8 (om) -254 (each) -254 (no) -7 (de) -253 (and) -254 (applying) -254 (w) 8 (or) 8 (d2v) 9 (e) -8 (c\055base) -7 (d) -253 (learn\055) ] TJ 0.98 0 0 1 317.955 286.922 Tm [ (ing) -187 (on) -188 (those) -187 (walks\073) -188 (despite) -187 (intensiv) 8 (e) -187 (r) 8 (esear) 8 (ch) -187 (on) -187 (graph) -188 (emb) -10 (e) -7 (ddings\054) ] 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234.10155 -16.33188 l 248.72516 -17.98666 l 263.36423 -18.38058 l 277.98785 -19.56685 l 292.62694 -21.01176 l S Q Q q 1.19553 w 0 0 0.74902 RG 0 0 0.74902 rg 1.19553 w 0 0 0.74902 RG 0 0 0.74902 rg 104.22038 -36.59512 m 104.22038 -34.94441 102.88225 -33.6063 101.23155 -33.6063 c 99.58084 -33.6063 98.24272 -34.94441 98.24272 -36.59512 c 98.24272 -38.24583 99.58084 -39.58395 101.23155 -39.58395 c 102.88225 -39.58395 104.22038 -38.24583 104.22038 -36.59512 c h 101.23155 -36.59512 m B 120.03702 -39.39378 m 120.03702 -37.74309 118.6989 -36.40495 117.04819 -36.40495 c 115.39748 -36.40495 114.05936 -37.74309 114.05936 -39.39378 c 114.05936 -41.0445 115.39748 -42.38261 117.04819 -42.38261 c 118.6989 -42.38261 120.03702 -41.0445 120.03702 -39.39378 c h 117.04819 -39.39378 m B 133.48242 -41.83076 m 133.48242 -40.18005 132.1443 -38.84193 130.49359 -38.84193 c 128.84288 -38.84193 127.50476 -40.18005 127.50476 -41.83076 c 127.50476 -43.48146 128.84288 -44.8196 130.49359 -44.8196 c 132.1443 -44.8196 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B 201.85002 -17.1877 5.97766 5.97766 re B 216.47365 -18.34647 5.97766 5.97766 re B 231.11272 -19.04906 5.97766 5.97766 re B 245.73633 -20.7826 5.97766 5.97766 re B 260.3754 -21.48395 5.97766 5.97766 re B 274.99902 -22.59016 5.97766 5.97766 re B 289.6381 -23.97876 5.97766 5.97766 re B S Q q 1.19553 w 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 1.19553 w 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 104.22038 -6.98291 m 104.22038 -5.33221 102.88225 -3.99408 101.23155 -3.99408 c 99.58084 -3.99408 98.24272 -5.33221 98.24272 -6.98291 c 98.24272 -8.63362 99.58084 -9.97174 101.23155 -9.97174 c 102.88225 -9.97174 104.22038 -8.63362 104.22038 -6.98291 c h 101.23155 -6.98291 m 98.24272 -6.98291 m 104.22038 -6.98291 l 101.23155 -3.99408 m 101.23155 -9.97174 l S 120.03702 -8.24396 m 120.03702 -6.59326 118.6989 -5.25513 117.04819 -5.25513 c 115.39748 -5.25513 114.05936 -6.59326 114.05936 -8.24396 c 114.05936 -9.89467 115.39748 -11.23279 117.04819 -11.23279 c 118.6989 -11.23279 120.03702 -9.89467 120.03702 -8.24396 c h 117.04819 -8.24396 m 114.05936 -8.24396 m 120.03702 -8.24396 l 117.04819 -5.25513 m 117.04819 -11.23279 l S 133.48242 -8.89813 m 133.48242 -7.24744 132.1443 -5.9093 130.49359 -5.9093 c 128.84288 -5.9093 127.50476 -7.24744 127.50476 -8.89813 c 127.50476 -10.54884 128.84288 -11.88696 130.49359 -11.88696 c 132.1443 -11.88696 133.48242 -10.54884 133.48242 -8.89813 c h 130.49359 -8.89813 m 127.50476 -8.89813 m 133.48242 -8.89813 l 130.49359 -5.9093 m 130.49359 -11.88696 l S 149.29906 -9.78648 m 149.29906 -8.13577 147.96094 -6.79765 146.31023 -6.79765 c 144.65953 -6.79765 143.3214 -8.13577 143.3214 -9.78648 c 143.3214 -11.43718 144.65953 -12.77531 146.31023 -12.77531 c 147.96094 -12.77531 149.29906 -11.43718 149.29906 -9.78648 c h 146.31023 -9.78648 m 143.3214 -9.78648 m 149.29906 -9.78648 l 146.31023 -6.79765 m 146.31023 -12.77531 l S 163.69466 -11.35349 m 163.69466 -9.70277 162.35652 -8.36465 160.70583 -8.36465 c 159.05511 -8.36465 157.717 -9.70277 157.717 -11.35349 c 157.717 -13.0042 159.05511 -14.34232 160.70583 -14.34232 c 162.35652 -14.34232 163.69466 -13.0042 163.69466 -11.35349 c h 160.70583 -11.35349 m 157.717 -11.35349 m 163.69466 -11.35349 l 160.70583 -8.36465 m 160.70583 -14.34232 l S 178.56177 -12.15074 m 178.56177 -10.50003 177.22363 -9.16191 175.57294 -9.16191 c 173.92223 -9.16191 172.5841 -10.50003 172.5841 -12.15074 c 172.5841 -13.80144 173.92223 -15.13957 175.57294 -15.13957 c 177.22363 -15.13957 178.56177 -13.80144 178.56177 -12.15074 c h 175.57294 -12.15074 m 172.5841 -12.15074 m 178.56177 -12.15074 l 175.57294 -9.16191 m 175.57294 -15.13957 l S 192.95734 -13.44844 m 192.95734 -11.79773 191.61922 -10.45961 189.9685 -10.45961 c 188.3178 -10.45961 186.97968 -11.79773 186.97968 -13.44844 c 186.97968 -15.09915 188.3178 -16.43727 189.9685 -16.43727 c 191.61922 -16.43727 192.95734 -15.09915 192.95734 -13.44844 c h 189.9685 -13.44844 m 186.97968 -13.44844 m 192.95734 -13.44844 l 189.9685 -10.45961 m 189.9685 -16.43727 l S 207.82768 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-16.57802 274.99902 -17.91615 274.99902 -19.56685 c 274.99902 -21.21756 276.33714 -22.55568 277.98785 -22.55568 c 279.63857 -22.55568 280.97668 -21.21756 280.97668 -19.56685 c h 277.98785 -19.56685 m 274.99902 -19.56685 m 280.97668 -19.56685 l 277.98785 -16.57802 m 277.98785 -22.55568 l S 295.61577 -21.01176 m 295.61577 -19.36107 294.27763 -18.02293 292.62694 -18.02293 c 290.97623 -18.02293 289.6381 -19.36107 289.6381 -21.01176 c 289.6381 -22.66248 290.97623 -24.0006 292.62694 -24.0006 c 294.27763 -24.0006 295.61577 -22.66248 295.61577 -21.01176 c h 292.62694 -21.01176 m 289.6381 -21.01176 m 295.61577 -21.01176 l 292.62694 -18.02293 m 292.62694 -24.0006 l S S Q q q 1 0 0 1 192.611 -119.237 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -447.342 -569.845 cm BT /F194 8.9664 Tf 446.893 569.845 Td [ (d) ] TJ ET 1 0 0 1 447.342 569.845 cm Q 1 0 0 1 -192.611 119.237 cm Q Q q q 1 0 0 1 70.918 -51.84 cm 0 1 -1 0 0 0 cm q 0 G 0 g 1 0 0 1 -325.649 -637.242 cm BT /F314 8.9664 Tf 325.649 637.242 Td [ (ce) ] TJ ET 1 0 0 1 325.649 637.242 cm Q 1 0 0 1 -70.918 51.84 cm Q Q q q 1 0 0 1 163.878 10.361 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -418.609 -699.443 cm BT /F147 8.9664 Tf 418.609 699.443 Td [ (Co) 7 (variance) -250 (err) 8 (or) ] TJ ET 1 0 0 1 418.609 699.443 cm Q 1 0 0 1 -163.878 -10.361 cm Q Q q 1 g 0 G q 1 g 0 G 103.27017 -92.70273 136.65997 18.92189 re B Q q 1 0 0 1 106.257 -86.974 cm 1 0 0 1 0 0 cm q 1 0 0 1 0.598 7.468 cm q 0 g q 1.19553 w 0 0 0.74902 RG 0 0 0.74902 rg 0 0 m 8.50412 0 l 17.00826 0 l S q 11.49295 0 m 11.49295 1.6507 10.15482 2.98883 8.50412 2.98883 c 6.85341 2.98883 5.51529 1.6507 5.51529 0 c 5.51529 -1.6507 6.85341 -2.98883 8.50412 -2.98883 c 10.15482 -2.98883 11.49295 -1.6507 11.49295 0 c h 8.50412 0 m B Q Q Q 1 0 0 1 17.476 0 cm q q q 1 0 0 1 1.425 -1.435 cm 0.65 0 0 0.65 0 0 cm q 0 G 0 g 1 0 0 1 -380.487 -608.141 cm BT /F164 8.9664 Tf 380.487 608.141 Td [ (FREDE) ] TJ ET 1 0 0 1 380.487 608.141 cm Q 1 0 0 1 -1.425 1.435 cm Q Q Q 1 0 0 1 29.329 0 cm q 0 g q 1.19553 w 0.4157 0.74902 0 RG 0.4157 0.74902 0 rg 0 0 m 8.50412 0 l 17.00826 0 l S q 8.50412 2.98883 m 10.74574 0 l 8.50412 -2.98883 l 6.2625 0 l h B Q Q Q 1 0 0 1 17.476 0 cm q q q 1 0 0 1 1.425 -1.475 cm 0.65 0 0 0.65 0 0 cm q 0 G 0 g 1 0 0 1 -427.292 -608.101 cm BT /F147 8.9664 Tf 427.292 608.101 Td [ (SVD) ] TJ ET 1 0 0 1 427.292 608.101 cm Q 1 0 0 1 -1.425 1.475 cm Q Q Q 1 0 0 1 23.296 0 cm q 0 g q 1.19553 w 0.74902 0 0 RG 0.74902 0 0 rg 0 0 m 8.50412 0 l 17.00826 0 l S q 8.50412 -2.98883 m 8.50412 2.98883 l 11.09253 1.49442 m 5.91571 -1.49442 l 11.09253 -1.49442 m 5.91571 1.49442 l S Q Q Q 1 0 0 1 17.476 0 cm q q q 1 0 0 1 1.425 -1.565 cm 0.65 0 0 0.65 0 0 cm q 0 G 0 g 1 0 0 1 -468.064 -608.011 cm BT /F147 8.9664 Tf 468.064 608.011 Td [ (Sampling) ] TJ ET 1 0 0 1 468.064 608.011 cm Q 1 0 0 1 -1.425 1.565 cm Q Q Q 1 0 0 1 -105.053 -7.468 cm q 0 g q 1.19553 w 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 0 0 m 8.50412 0 l 17.00826 0 l S q 5.51529 -2.98883 5.97766 5.97766 re B Q Q Q 1 0 0 1 17.476 0 cm q q q 1 0 0 1 1.425 -1.565 cm 0.65 0 0 0.65 0 0 cm q 0 G 0 g 1 0 0 1 -380.487 -600.543 cm BT /F147 8.9664 Tf 380.487 600.543 Td [ (Rand\056) -250 (Pr) 8 (oj\056) ] TJ ET 1 0 0 1 380.487 600.543 cm Q 1 0 0 1 -1.425 1.565 cm Q Q Q 1 0 0 1 29.329 0 cm q 0 g q 1.19553 w 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 0 0 m 8.50412 0 l 17.00826 0 l S q 11.49295 0 m 11.49295 1.6507 10.15482 2.98883 8.50412 2.98883 c 6.85341 2.98883 5.51529 1.6507 5.51529 0 c 5.51529 -1.6507 6.85341 -2.98883 8.50412 -2.98883 c 10.15482 -2.98883 11.49295 -1.6507 11.49295 0 c h 8.50412 0 m 5.51529 0 m 11.49295 0 l 8.50412 2.98883 m 8.50412 -2.98883 l S Q Q Q 1 0 0 1 17.476 0 cm q q q 1 0 0 1 1.425 -1.565 cm 0.65 0 0 0.65 0 0 cm q 0 G 0 g 1 0 0 1 -427.292 -600.543 cm BT /F147 8.9664 Tf 427.292 600.543 Td [ (Hashing) ] TJ ET 1 0 0 1 427.292 600.543 cm Q 1 0 0 1 -1.425 1.565 cm Q Q Q 1 0 0 1 -64.879 0 cm Q 1 0 0 1 -106.257 86.975 cm Q Q Q n Q 1 0 0 1 63.734 -122.329 cm Q 1 0 0 1 33.473 26.521 cm Q q Q q Q Q n Q 0 g 0 G 1 0 0 1 -351.938 -593.275 cm BT /F151 8.9664 Tf 317.955 552.796 Td [ (Figur) 8 (e) -298 (3\072) -298 (Co) 7 (variance) -298 (err) 8 (or) -298 (vs\056) -298 (dimensionality) ] TJ /F194 8.9664 Tf 187.39 0 Td [ (d) ] TJ /F151 8.9664 Tf 5.057 0 Td [ (\073) -298 (FREDE) -298 (ap\055) ] TJ -192.447 -10.958 Td [ (pr) 8 (oaches) -250 (SVD) 29 (\054) -250 (which) -250 (yields) -250 (optimal) -250 (co) 7 (variance) -250 (err) 8 (or) 59 (\056) ] TJ 0 g 0 G 0 g 0 G /F151 10.9091 Tf 0 -24.541 Td [ (4\0564) -1000 (Sketching) -250 (quality) ] TJ /F147 8.9664 Tf 0.999 0 0 1 317.641 503.598 Tm [ (A) 12 (s) -249 (a) -250 (pr) 8 (eliminar) -15 (y) -249 (test\054) -249 (w) 8 (e) -250 (assess) -249 (our) -249 (choice) -249 (of) -250 (sketching) -249 (backb) -10 (one) ] TJ 0.999 0 0 1 317.955 492.639 Tm [ (against) -251 (other) -250 (sketching) -251 (algorithms) -250 (and) -251 (the) -250 (optimal) -251 (rank\055) ] TJ /F194 8.9664 Tf 1 0 0 1 526.824 492.639 Tm [ (k) ] TJ /F147 8.9664 Tf 0.999 0 0 1 534.099 492.639 Tm [ (co) 7 (vari\055) ] TJ 0.994 0 0 1 317.955 481.68 Tm [ (ance) -251 (appr) 8 (o) 7 (ximation) -251 (obtaine) -7 (d) -250 (by) -251 (SVD) -251 (on) -251 (the) -251 (full) -251 (similarity) -251 (matrix\054) ] TJ /F186 8.9664 Tf 1 0 0 1 318.82 472.462 Tm [ (\176) ] TJ -0.865 -2.013 Td [ (S) ] TJ /F265 7.2727 Tf 4.349 3.255 Td [ (\076) ] TJ /F186 8.9664 Tf 6.541 -1.242 Td [ (\176) ] TJ -0.865 -2.013 Td [ (S) ] TJ /F264 8.9664 Tf 7.367 0 Td [ (\075) ] TJ /F186 8.9664 Tf 1.02 0 0 1 344.067 470.449 Tm [ (V) ] TJ /F271 7.2727 Tf 1 0 0 1 349.848 468.485 Tm [ (d) ] TJ /F252 8.9664 Tf 5.317 1.964 Td [ <06> ] TJ /F186 7.2727 Tf 5.237 3.255 Td [ (2) ] TJ /F271 7.2727 Tf -0.092 -7.158 Td [ (d) ] TJ /F186 8.9664 Tf 1.02 0 0 1 365.448 470.449 Tm [ (V) ] TJ /F265 7.2727 Tf 1 0 0 1 371.411 473.704 Tm [ (\076) ] TJ /F271 7.2727 Tf -0.182 -7.136 Td [ (d) ] TJ /F147 8.9664 Tf 1.02 0 0 1 377.087 470.449 Tm [ (\056) -271 (Figur) 8 (e) -271 (3) -271 (r) 7 (ep) -6 (orts) -271 (the) -271 (co) 6 (variance) -271 (err) 8 (or) ] TJ /F314 8.9664 Tf 1 0 0 1 522.1 470.449 Tm [ (ce) ] TJ /F147 8.9664 Tf 1.02 0 0 1 533.545 470.449 Tm [ (on) ] TJ /F164 8.9664 Tf 1.02 0 0 1 545.59 470.449 Tm [ (PPI) ] TJ /F147 8.9664 Tf 0.98 0 0 1 317.955 459.235 Tm [ (data\054) -214 (vs\056) -213 (the) -214 (dimensionality) ] TJ /F194 8.9664 Tf 1 0 0 1 416.841 459.235 Tm [ (d) ] TJ /F147 8.9664 Tf 0.98 0 0 1 421.898 459.235 Tm [ (\056) ] TJ /F164 8.9664 Tf 0.98 0 0 1 425.711 459.235 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 452.955 459.235 Tm [ (outp) -7 (erforms) -214 (the) -213 (other) -214 (sketch\055) ] TJ 1.004 0 0 1 317.955 448.276 Tm [ (ing) -249 (algorithms) -248 (\050Se) -7 (ction) -249 (2\0566\051) -248 (by) -249 (at) -248 (least) ] TJ /F186 8.9664 Tf 1.004 0 0 1 460.693 448.276 Tm [ (2) ] TJ /F147 8.9664 Tf 1.004 0 0 1 467.116 448.276 Tm [ (or) 8 (ders) -249 (of) -248 (magnitude) -249 (and\054) ] TJ 1.02 0 0 1 317.955 437.317 Tm [ (as) ] TJ /F194 8.9664 Tf 1 0 0 1 327.551 437.317 Tm [ (d) ] TJ /F147 8.9664 Tf 1.02 0 0 1 334.905 437.317 Tm [ (gr) 8 (o) 7 (ws\054) -252 (it) -251 (conv) 8 (erges) -251 (to) -251 (the) -251 (optimal) -252 (SVD) -251 (solution\056) -251 (This) -251 (r) 8 (esult) ] TJ 0.98 0 0 1 317.955 426.358 Tm [ (r) 8 (e) -7 (con\033rms) -246 (that) -246 (the) -245 (advantages) -246 (of) -246 (Fr) 8 (e) -7 (quent) -246 (Dir) 8 (e) -7 (ctions) -246 (v) 8 (ersus) -245 (other) ] TJ 1.02 0 0 1 317.955 415.399 Tm [ (sketching) -294 (metho) -7 (ds) -293 (transfer) -294 (w) 8 (ell) -294 (to) -294 (the) -294 (domain) -293 (of) -294 (graph) -294 (emb) -10 (e) -6 (d\055) ] TJ 1.017 0 0 1 317.955 404.44 Tm [ (dings\056) -245 (For) -245 (the) -246 (sake) -245 (of) -245 (completeness\054) -245 (w) 8 (e) -245 (ke) -7 (ep) -246 (comparing) -245 (to) -245 (other) ] TJ 1.02 0 0 1 317.955 393.481 Tm [ (sketching) -278 (metho) -6 (ds) -278 (in) -278 (the) -277 (r) 8 (est) -278 (of) -278 (our) -277 (study) 57 (\054) -277 (as) -278 (p) -7 (erformance) -277 (may) ] TJ 1 0 0 1 317.731 382.522 Tm [ (var) -15 (y) -250 (dep) -7 (ending) -250 (on) -250 (the) -250 (do) 7 (wnstr) 8 (eam) -250 (data) -250 (science) -250 (task\056) ] TJ 0 g 0 G ET 1 0 0 1 351.394 265.197 cm q 0 G 0 g 0.3985 w q Q q q Q q Q q 1 0 0 1 0 0 cm q Q Q q Q q Q q Q q Q q 1 0 0 1 -33.383 -26.449 cm 1 0 0 1 0 0 cm q 1 0 0 1 -162.03 34.525 cm q 0 G 0 g 0.3985 w q Q q q q q 0.19925 w 0.5 g 0.5 G 195.41516 -8.07552 m 195.41516 -5.24043 l 215.02377 -8.07552 m 215.02377 -5.24043 l 226.49426 -8.07552 m 226.49426 -5.24043 l 234.63235 -8.07552 m 234.63235 -5.24043 l 240.94496 -8.07552 m 240.94496 -5.24043 l 246.10287 -8.07552 m 246.10287 -5.24043 l 250.4635 -8.07552 m 250.4635 -5.24043 l 254.24097 -8.07552 m 254.24097 -5.24043 l 257.57295 -8.07552 m 257.57295 -5.24043 l 260.55356 -8.07552 m 260.55356 -5.24043 l 280.16216 -8.07552 m 280.16216 -5.24043 l 291.63266 -8.07552 m 291.63266 -5.24043 l 299.77075 -8.07552 m 299.77075 -5.24043 l 306.08336 -8.07552 m 306.08336 -5.24043 l 311.24127 -8.07552 m 311.24127 -5.24043 l 315.6019 -8.07552 m 315.6019 -5.24043 l 319.37936 -8.07552 m 319.37936 -5.24043 l 322.71135 -8.07552 m 322.71135 -5.24043 l 325.69196 -8.07552 m 325.69196 -5.24043 l 345.30055 -8.07552 m 345.30055 -5.24043 l 356.77106 -8.07552 m 356.77106 -5.24043 l 364.90915 -8.07552 m 364.90915 -5.24043 l 371.22176 -8.07552 m 371.22176 -5.24043 l 376.37967 -8.07552 m 376.37967 -5.24043 l 380.7403 -8.07552 m 380.7403 -5.24043 l 384.51776 -8.07552 m 384.51776 -5.24043 l 387.84975 -8.07552 m 387.84975 -5.24043 l 195.41516 88.8259 m 195.41516 85.99083 l 215.02377 88.8259 m 215.02377 85.99083 l 226.49426 88.8259 m 226.49426 85.99083 l 234.63235 88.8259 m 234.63235 85.99083 l 240.94496 88.8259 m 240.94496 85.99083 l 246.10287 88.8259 m 246.10287 85.99083 l 250.4635 88.8259 m 250.4635 85.99083 l 254.24097 88.8259 m 254.24097 85.99083 l 257.57295 88.8259 m 257.57295 85.99083 l 260.55356 88.8259 m 260.55356 85.99083 l 280.16216 88.8259 m 280.16216 85.99083 l 291.63266 88.8259 m 291.63266 85.99083 l 299.77075 88.8259 m 299.77075 85.99083 l 306.08336 88.8259 m 306.08336 85.99083 l 311.24127 88.8259 m 311.24127 85.99083 l 315.6019 88.8259 m 315.6019 85.99083 l 319.37936 88.8259 m 319.37936 85.99083 l 322.71135 88.8259 m 322.71135 85.99083 l 325.69196 88.8259 m 325.69196 85.99083 l 345.30055 88.8259 m 345.30055 85.99083 l 356.77106 88.8259 m 356.77106 85.99083 l 364.90915 88.8259 m 364.90915 85.99083 l 371.22176 88.8259 m 371.22176 85.99083 l 376.37967 88.8259 m 376.37967 85.99083 l 380.7403 88.8259 m 380.7403 85.99083 l 384.51776 88.8259 m 384.51776 85.99083 l 387.84975 88.8259 m 387.84975 85.99083 l S 0 g 0 G Q q 0.19925 w 0.5 g 0.5 G 195.41516 -8.07552 m 195.41516 -3.82333 l 260.55356 -8.07552 m 260.55356 -3.82333 l 325.69196 -8.07552 m 325.69196 -3.82333 l 390.83035 -8.07552 m 390.83035 -3.82333 l 195.41516 88.8259 m 195.41516 84.57372 l 260.55356 88.8259 m 260.55356 84.57372 l 325.69196 88.8259 m 325.69196 84.57372 l 390.83035 88.8259 m 390.83035 84.57372 l S 0 g 0 G Q Q q q 0.19925 w 0.5 g 0.5 G 195.41516 0.87611 m 199.66486 0.87611 l 195.41516 28.4563 m 199.66486 28.4563 l 195.41516 56.03648 m 199.66486 56.03648 l 195.41516 83.61668 m 199.66486 83.61668 l 390.83035 0.87611 m 386.58064 0.87611 l 390.83035 28.4563 m 386.58064 28.4563 l 390.83035 56.03648 m 386.58064 56.03648 l 390.83035 83.61668 m 386.58064 83.61668 l S 0 g 0 G Q Q 195.41516 -8.07552 m 195.41516 88.8259 l 390.83035 88.8259 l 390.83035 -8.07552 l 195.41516 -8.07552 l h S q q 1 0 0 1 189.304 -18.995 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -345.285 -254.278 cm BT /F186 8.9664 Tf 345.285 254.278 Td [ (10) ] TJ /F186 7.2727 Tf 8.338 3.255 Td [ (3) ] TJ ET 1 0 0 1 345.285 254.278 cm Q 1 0 0 1 -189.304 18.995 cm Q Q q q 1 0 0 1 254.441 -18.995 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -410.422 -254.278 cm BT /F186 8.9664 Tf 410.422 254.278 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (4) ] TJ ET 1 0 0 1 410.422 254.278 cm Q 1 0 0 1 -254.441 18.995 cm Q Q q q 1 0 0 1 319.579 -18.995 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -475.56 -254.278 cm BT /F186 8.9664 Tf 475.56 254.278 Td [ (10) ] TJ /F186 7.2727 Tf 8.338 3.255 Td [ (5) ] TJ ET 1 0 0 1 475.56 254.278 cm Q 1 0 0 1 -319.579 18.995 cm Q Q q q 1 0 0 1 384.716 -18.995 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -540.697 -254.278 cm BT /F186 8.9664 Tf 540.697 254.278 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (6) ] TJ ET 1 0 0 1 540.697 254.278 cm Q 1 0 0 1 -384.716 18.995 cm Q Q q q 1 0 0 1 181.349 -1.832 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -337.33 -271.441 cm BT /F186 8.9664 Tf 337.33 271.441 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (1) ] TJ ET 1 0 0 1 337.33 271.441 cm Q 1 0 0 1 -181.349 1.832 cm Q Q q q 1 0 0 1 177.18 25.748 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -333.161 -299.021 cm BT /F186 8.9664 Tf 333.161 299.021 Td [ (0) ] TJ /F196 8.9664 Tf 4.312 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (15) ] TJ ET 1 0 0 1 333.161 299.021 cm Q 1 0 0 1 -177.18 -25.748 cm Q Q q q 1 0 0 1 181.349 53.327 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -337.33 -326.6 cm BT /F186 8.9664 Tf 337.33 326.6 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (2) ] TJ ET 1 0 0 1 337.33 326.6 cm Q 1 0 0 1 -181.349 -53.327 cm Q Q q q 1 0 0 1 177.18 80.907 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -333.161 -354.18 cm BT /F186 8.9664 Tf 333.161 354.18 Td [ (0) ] TJ /F196 8.9664 Tf 4.312 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (25) ] TJ ET 1 0 0 1 333.161 354.18 cm Q 1 0 0 1 -177.18 -80.907 cm Q Q 195.41516 -8.07552 m 390.83035 -8.07552 l 390.83035 88.8259 l 195.41516 88.8259 l h W n q 1.19553 w 0 0 0.74902 RG 0 0 0.74902 rg 195.41516 23.99637 m 217.1212 30.98006 l 238.8363 38.96434 l 260.55356 46.37646 l 282.2652 52.64369 l 303.97728 61.82922 l 325.69196 69.21785 l 347.4036 74.03731 l 369.11653 78.06627 l 390.83035 80.75038 l S Q q 1.19553 w 0.74902 0 0 RG 0.74902 0 0 rg 195.41516 0.21318 m 217.1212 1.48326 l 238.8363 9.2978 l 260.55356 17.11086 l 282.2652 25.10783 l 303.97728 33.83437 l 325.69196 43.7437 l 347.4036 49.5773 l 369.11653 55.32527 l 390.83035 57.9519 l S Q q 1.19553 w 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 195.41516 0 m 217.1212 3.57318 l 238.8363 9.5915 l 260.55356 16.82446 l 282.2652 23.50218 l 303.97728 34.82988 l 325.69196 45.34712 l 347.4036 51.14731 l 369.11653 57.72795 l 390.83035 59.48552 l S Q q 1.19553 w 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 195.41516 1.34798 m 217.1212 4.49782 l 238.8363 10.48921 l 260.55356 15.86266 l 282.2652 25.28384 l 303.97728 35.31332 l 325.69196 44.5821 l 347.4036 51.63145 l 369.11653 57.78516 l 390.83035 59.64304 l S Q q 1.19553 w 0.4157 0.74902 0 RG 0.4157 0.74902 0 rg 195.41516 50.42154 m 217.1212 52.81364 l 238.8363 57.59157 l 260.55356 62.81088 l 282.2652 66.981 l 303.97728 70.77301 l 325.69196 72.81964 l 347.4036 76.34816 l 369.11653 76.49586 l 390.83035 75.94412 l S Q q 1.59404 w [ 2.98883 2.98883 ] 0 d 0 0 0.74902 RG 196.08597 81.89717 m 390.83035 81.89717 l S Q q 1.59404 w [ 2.98883 2.98883 ] 0 d 0 0.63922 0.74902 RG 196.08597 62.33022 m 390.83035 62.33022 l S Q q 1.59404 w [ 2.98883 2.98883 ] 0 d 0.74902 0 0 RG 196.08597 65.6218 m 390.83035 65.6218 l S Q q 1.59404 w [ 2.98883 2.98883 ] 0 d 0.74902 0 0.47452 RG 196.08597 63.68651 m 390.83035 63.68651 l S Q q 1.59404 w [ 2.98883 2.98883 ] 0 d 0.4157 0.74902 0 RG 196.08597 76.22519 m 390.83035 76.22519 l S Q Q q 1.19553 w 0 0 0.74902 RG 0 0 0.74902 rg 1.19553 w 0 0 0.74902 RG 0 0 0.74902 rg 198.40399 23.99637 m 198.40399 25.64706 197.06587 26.9852 195.41516 26.9852 c 193.76445 26.9852 192.42633 25.64706 192.42633 23.99637 c 192.42633 22.34566 193.76445 21.00754 195.41516 21.00754 c 197.06587 21.00754 198.40399 22.34566 198.40399 23.99637 c h 195.41516 23.99637 m B 220.11003 30.98006 m 220.11003 32.63077 218.77191 33.96889 217.1212 33.96889 c 215.47049 33.96889 214.13237 32.63077 214.13237 30.98006 c 214.13237 29.32935 215.47049 27.99123 217.1212 27.99123 c 218.77191 27.99123 220.11003 29.32935 220.11003 30.98006 c h 217.1212 30.98006 m B 241.82513 38.96434 m 241.82513 40.61504 240.487 41.95317 238.8363 41.95317 c 237.1856 41.95317 235.84747 40.61504 235.84747 38.96434 c 235.84747 37.31363 237.1856 35.97551 238.8363 35.97551 c 240.487 35.97551 241.82513 37.31363 241.82513 38.96434 c h 238.8363 38.96434 m B 263.54239 46.37646 m 263.54239 48.02718 262.20427 49.3653 260.55356 49.3653 c 258.90285 49.3653 257.56473 48.02718 257.56473 46.37646 c 257.56473 44.72577 258.90285 43.38763 260.55356 43.38763 c 262.20427 43.38763 263.54239 44.72577 263.54239 46.37646 c h 260.55356 46.37646 m B 285.25403 52.64369 m 285.25403 54.2944 283.91591 55.63252 282.2652 55.63252 c 280.6145 55.63252 279.27637 54.2944 279.27637 52.64369 c 279.27637 50.993 280.6145 49.65486 282.2652 49.65486 c 283.91591 49.65486 285.25403 50.993 285.25403 52.64369 c h 282.2652 52.64369 m B 306.96611 61.82922 m 306.96611 63.47993 305.62799 64.81805 303.97728 64.81805 c 302.32657 64.81805 300.98845 63.47993 300.98845 61.82922 c 300.98845 60.17851 302.32657 58.8404 303.97728 58.8404 c 305.62799 58.8404 306.96611 60.17851 306.96611 61.82922 c h 303.97728 61.82922 m B 328.68079 69.21785 m 328.68079 70.86856 327.34265 72.20668 325.69196 72.20668 c 324.04124 72.20668 322.70313 70.86856 322.70313 69.21785 c 322.70313 67.56715 324.04124 66.22902 325.69196 66.22902 c 327.34265 66.22902 328.68079 67.56715 328.68079 69.21785 c h 325.69196 69.21785 m B 350.39243 74.03731 m 350.39243 75.68802 349.0543 77.02614 347.4036 77.02614 c 345.7529 77.02614 344.41476 75.68802 344.41476 74.03731 c 344.41476 72.3866 345.7529 71.04848 347.4036 71.04848 c 349.0543 71.04848 350.39243 72.3866 350.39243 74.03731 c h 347.4036 74.03731 m B 372.10536 78.06627 m 372.10536 79.71698 370.76724 81.0551 369.11653 81.0551 c 367.46584 81.0551 366.1277 79.71698 366.1277 78.06627 c 366.1277 76.41556 367.46584 75.07744 369.11653 75.07744 c 370.76724 75.07744 372.10536 76.41556 372.10536 78.06627 c h 369.11653 78.06627 m B 393.81918 80.75038 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145.94008 43.89578 144.83961 c 43.89578 143.73914 44.78786 142.84706 45.88834 142.84706 c 46.9888 142.84706 47.88089 143.73914 47.88089 144.83961 c h 45.88834 144.83961 m B 52.9815 146.61377 m 52.9815 147.71425 52.08942 148.60632 50.98895 148.60632 c 49.88847 148.60632 48.9964 147.71425 48.9964 146.61377 c 48.9964 145.5133 49.88847 144.62122 50.98895 144.62122 c 52.08942 144.62122 52.9815 145.5133 52.9815 146.61377 c h 50.98895 146.61377 m B 58.0821 144.66368 m 58.0821 145.76414 57.19002 146.65623 56.08955 146.65623 c 54.98907 146.65623 54.097 145.76414 54.097 144.66368 c 54.097 143.5632 54.98907 142.67113 56.08955 142.67113 c 57.19002 142.67113 58.0821 143.5632 58.0821 144.66368 c h 56.08955 144.66368 m B 63.1827 145.64676 m 63.1827 146.74722 62.29062 147.63931 61.19014 147.63931 c 60.08968 147.63931 59.19759 146.74722 59.19759 145.64676 c 59.19759 144.54628 60.08968 143.6542 61.19014 143.6542 c 62.29062 143.6542 63.1827 144.54628 63.1827 145.64676 c h 61.19014 145.64676 m B S Q q 1.19553 w 0.74902 0 0 RG 0.74902 0 0 rg 1.19553 w 0.74902 0 0 RG 0.74902 0 0 rg 1.34315 85.58418 m 1.34315 89.56929 l 3.06876 88.57301 m -0.38245 86.58046 l 3.06876 86.58046 m -0.38245 88.57301 l S 3.38338 101.8126 m 3.38338 105.79771 l 5.10898 104.80144 m 1.65776 102.80888 l 5.10898 102.80888 m 1.65776 104.80144 l S 8.48398 101.25536 m 8.48398 105.24046 l 10.20958 104.24419 m 6.75836 102.25163 l 10.20958 102.25163 m 6.75836 104.24419 l S 13.58456 98.38995 m 13.58456 102.37506 l 15.31018 101.37878 m 11.85896 99.38623 l 15.31018 99.38623 m 11.85896 101.37878 l S 18.68517 98.65385 m 18.68517 102.63896 l 20.41078 101.64268 m 16.95956 99.65013 l 20.41078 99.65013 m 16.95956 101.64268 l S 23.78575 99.48944 m 23.78575 103.47455 l 25.51135 102.47827 m 22.06015 100.48572 l 25.51135 100.48572 m 22.06015 102.47827 l S 28.88635 99.11511 m 28.88635 103.10022 l 30.61195 102.10394 m 27.16075 100.11139 l 30.61195 100.11139 m 27.16075 102.10394 l S 33.98695 96.39732 m 33.98695 100.38243 l 35.71255 99.38615 m 32.26134 97.3936 l 35.71255 97.3936 m 32.26134 99.38615 l S 39.08754 96.92235 m 39.08754 100.90746 l 40.81316 99.91118 m 37.36194 97.91862 l 40.81316 97.91862 m 37.36194 99.91118 l S 44.18814 95.79343 m 44.18814 99.77853 l 45.91376 98.78226 m 42.46254 96.7897 l 45.91376 96.7897 m 42.46254 98.78226 l S 49.28874 94.21703 m 49.28874 98.20213 l 51.01434 97.20586 m 47.56314 95.2133 l 51.01434 95.2133 m 47.56314 97.20586 l S 54.38934 93.46481 m 54.38934 97.44992 l 56.11494 96.45364 m 52.66374 94.46109 l 56.11494 94.46109 m 52.66374 96.45364 l S 59.48994 92.79234 m 59.48994 96.77745 l 61.21555 95.78117 m 57.76433 93.78862 l 61.21555 93.78862 m 57.76433 95.78117 l S 64.59055 93.57104 m 64.59055 97.55615 l 66.31615 96.55988 m 62.86493 94.56732 l 66.31615 94.56732 m 62.86493 96.55988 l S S Q q 1.19553 w 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 1.19553 w 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 1.17311 91.21182 m -0.55247 94.20065 l 2.89873 94.20065 l h B 1.68318 103.56252 m -0.0424 106.55135 l 3.4088 106.55135 l h B 6.78377 116.8849 m 5.05817 119.87373 l 8.50937 119.87373 l h B 11.88437 115.17813 m 10.15875 118.16696 l 13.60997 118.16696 l h B 16.98497 112.73134 m 15.25935 115.72017 l 18.71057 115.72017 l h B 22.08556 112.5663 m 20.35995 115.55513 l 23.81117 115.55513 l h B 27.18616 110.87009 m 25.46056 113.85892 l 28.91177 113.85892 l h B 32.28676 107.81784 m 30.56116 110.80667 l 34.01236 110.80667 l h B 37.38734 107.12039 m 35.66174 110.10922 l 39.11295 110.10922 l h B 42.48795 107.42863 m 40.76233 110.41747 l 44.21355 110.41747 l h B 47.58855 104.35548 m 45.86293 107.34431 l 49.31415 107.34431 l h B 52.68915 105.58636 m 50.96355 108.5752 l 54.41476 108.5752 l h B 57.78973 103.81174 m 56.06413 106.80057 l 59.51534 106.80057 l h B 62.89034 103.6953 m 61.16473 106.68413 l 64.61594 106.68413 l h B S Q q 1.19553 w 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 1.19553 w 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 3.16566 86.28566 m 3.16566 87.38614 2.27359 88.27821 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120.04645 11.88437 120.04645 c 10.78389 120.04645 9.89182 119.15436 9.89182 118.0539 c 9.89182 116.95341 10.78389 116.06134 11.88437 116.06134 c 12.98483 116.06134 13.87692 116.95341 13.87692 118.0539 c h 11.88437 118.0539 m 9.89182 118.0539 m 13.87692 118.0539 l 11.88437 120.04645 m 11.88437 116.06134 l S 18.97752 114.2267 m 18.97752 115.32718 18.08543 116.21925 16.98497 116.21925 c 15.88449 116.21925 14.99242 115.32718 14.99242 114.2267 c 14.99242 113.12624 15.88449 112.23415 16.98497 112.23415 c 18.08543 112.23415 18.97752 113.12624 18.97752 114.2267 c h 16.98497 114.2267 m 14.99242 114.2267 m 18.97752 114.2267 l 16.98497 116.21925 m 16.98497 112.23415 l S 24.07811 113.74463 m 24.07811 114.84511 23.18604 115.73718 22.08556 115.73718 c 20.98509 115.73718 20.093 114.84511 20.093 113.74463 c 20.093 112.64417 20.98509 111.75208 22.08556 111.75208 c 23.18604 111.75208 24.07811 112.64417 24.07811 113.74463 c h 22.08556 113.74463 m 20.093 113.74463 m 24.07811 113.74463 l 22.08556 115.73718 m 22.08556 111.75208 l S 29.17871 111.31631 m 29.17871 112.41678 28.28664 113.30887 27.18616 113.30887 c 26.0857 113.30887 25.1936 112.41678 25.1936 111.31631 c 25.1936 110.21584 26.0857 109.32376 27.18616 109.32376 c 28.28664 109.32376 29.17871 110.21584 29.17871 111.31631 c h 27.18616 111.31631 m 25.1936 111.31631 m 29.17871 111.31631 l 27.18616 113.30887 m 27.18616 109.32376 l S 34.27931 108.88475 m 34.27931 109.98523 33.38724 110.8773 32.28676 110.8773 c 31.1863 110.8773 30.2942 109.98523 30.2942 108.88475 c 30.2942 107.78429 31.1863 106.8922 32.28676 106.8922 c 33.38724 106.8922 34.27931 107.78429 34.27931 108.88475 c h 32.28676 108.88475 m 30.2942 108.88475 m 34.27931 108.88475 l 32.28676 110.8773 m 32.28676 106.8922 l S 39.3799 109.04315 m 39.3799 110.14362 38.48781 111.0357 37.38734 111.0357 c 36.28687 111.0357 35.39479 110.14362 35.39479 109.04315 c 35.39479 107.94267 36.28687 107.0506 37.38734 107.0506 c 38.48781 107.0506 39.3799 107.94267 39.3799 109.04315 c h 37.38734 109.04315 m 35.39479 109.04315 m 39.3799 109.04315 l 37.38734 111.0357 m 37.38734 107.0506 l S 44.4805 108.68625 m 44.4805 109.78671 43.58841 110.6788 42.48795 110.6788 c 41.38747 110.6788 40.49539 109.78671 40.49539 108.68625 c 40.49539 107.58577 41.38747 106.6937 42.48795 106.6937 c 43.58841 106.6937 44.4805 107.58577 44.4805 108.68625 c h 42.48795 108.68625 m 40.49539 108.68625 m 44.4805 108.68625 l 42.48795 110.6788 m 42.48795 106.6937 l S 49.5811 106.685 m 49.5811 107.78548 48.68901 108.67755 47.58855 108.67755 c 46.48807 108.67755 45.596 107.78548 45.596 106.685 c 45.596 105.58453 46.48807 104.69244 47.58855 104.69244 c 48.68901 104.69244 49.5811 105.58453 49.5811 106.685 c h 47.58855 106.685 m 45.596 106.685 m 49.5811 106.685 l 47.58855 108.67755 m 47.58855 104.69244 l S 54.6817 107.3001 m 54.6817 108.40057 53.78963 109.29265 52.68915 109.29265 c 51.58868 109.29265 50.6966 108.40057 50.6966 107.3001 c 50.6966 106.19963 51.58868 105.30754 52.68915 105.30754 c 53.78963 105.30754 54.6817 106.19963 54.6817 107.3001 c h 52.68915 107.3001 m 50.6966 107.3001 m 54.6817 107.3001 l 52.68915 109.29265 m 52.68915 105.30754 l S 59.78229 106.7773 m 59.78229 107.87778 58.89021 108.76985 57.78973 108.76985 c 56.68927 108.76985 55.79718 107.87778 55.79718 106.7773 c 55.79718 105.67683 56.68927 104.78474 57.78973 104.78474 c 58.89021 104.78474 59.78229 105.67683 59.78229 106.7773 c h 57.78973 106.7773 m 55.79718 106.7773 m 59.78229 106.7773 l 57.78973 108.76985 m 57.78973 104.78474 l S 64.88289 106.44716 m 64.88289 107.54764 63.9908 108.43971 62.89034 108.43971 c 61.78986 108.43971 60.89778 107.54764 60.89778 106.44716 c 60.89778 105.3467 61.78986 104.4546 62.89034 104.4546 c 63.9908 104.4546 64.88289 105.3467 64.88289 106.44716 c h 62.89034 106.44716 m 60.89778 106.44716 m 64.88289 106.44716 l 62.89034 108.43971 m 62.89034 104.4546 l S S Q q q 1 0 0 1 0.332 63.144 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -87.513 -581.593 cm BT /F147 8.9664 Tf 87.513 581.593 Td [ (\045) -250 (of) 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128.25813 l 13.22754 132.51004 m 13.22754 128.25813 l 26.45508 132.51004 m 26.45508 128.25813 l 39.68263 132.51004 m 39.68263 128.25813 l 52.91017 132.51004 m 52.91017 128.25813 l 66.13773 132.51004 m 66.13773 128.25813 l S 0 g 0 G Q Q q q 0.19925 w 0.5 g 0.5 G 0 63.95451 m 4.25194 63.95451 l 0 80.16438 m 4.25194 80.16438 l 0 96.37425 m 4.25194 96.37425 l 0 112.58412 m 4.25194 112.58412 l 0 128.79399 m 4.25194 128.79399 l 66.13773 63.95451 m 61.88576 63.95451 l 66.13773 80.16438 m 61.88576 80.16438 l 66.13773 96.37425 m 61.88576 96.37425 l 66.13773 112.58412 m 61.88576 112.58412 l 66.13773 128.79399 m 61.88576 128.79399 l S 0 g 0 G Q Q 0 63.95451 m 0 132.51004 l 66.13773 132.51004 l 66.13773 63.95451 l 0 63.95451 l h S q q 1 0 0 1 -2.085 55.247 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -179.58 -594.032 cm BT /F186 8.9664 Tf 179.58 594.032 Td [ (0) ] TJ ET 1 0 0 1 179.58 594.032 cm Q 1 0 0 1 2.085 -55.247 cm Q Q q q 1 0 0 1 9.058 55.247 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -190.723 -594.032 cm BT /F186 8.9664 Tf 190.723 594.032 Td [ (20) ] TJ ET 1 0 0 1 190.723 594.032 cm Q 1 0 0 1 -9.058 -55.247 cm Q Q q q 1 0 0 1 22.285 55.247 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -203.95 -594.032 cm BT /F186 8.9664 Tf 203.95 594.032 Td [ (40) ] TJ ET 1 0 0 1 203.95 594.032 cm Q 1 0 0 1 -22.285 -55.247 cm Q Q q q 1 0 0 1 35.512 55.247 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -217.177 -594.032 cm BT /F186 8.9664 Tf 217.177 594.032 Td [ (60) ] TJ ET 1 0 0 1 217.177 594.032 cm Q 1 0 0 1 -35.512 -55.247 cm Q Q q q 1 0 0 1 48.74 55.247 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -230.405 -594.032 cm BT /F186 8.9664 Tf 230.405 594.032 Td [ (80) ] TJ ET 1 0 0 1 230.405 594.032 cm Q 1 0 0 1 -48.74 -55.247 cm Q Q q q 1 0 0 1 59.882 55.247 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -241.547 -594.032 cm BT /F186 8.9664 Tf 241.547 594.032 Td [ (100) ] TJ ET 1 0 0 1 241.547 594.032 cm Q 1 0 0 1 -59.882 -55.247 cm Q Q q q 1 0 0 1 -18.234 61.246 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -163.431 -600.031 cm BT /F186 8.9664 Tf 163.431 600.031 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (42) ] TJ ET 1 0 0 1 163.431 600.031 cm Q 1 0 0 1 18.234 -61.246 cm Q Q q q 1 0 0 1 -18.234 77.455 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -163.431 -616.24 cm BT /F186 8.9664 Tf 163.431 616.24 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (43) ] TJ ET 1 0 0 1 163.431 616.24 cm Q 1 0 0 1 18.234 -77.455 cm Q Q q q 1 0 0 1 -18.234 93.665 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -163.431 -632.45 cm BT /F186 8.9664 Tf 163.431 632.45 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (44) ] TJ ET 1 0 0 1 163.431 632.45 cm Q 1 0 0 1 18.234 -93.665 cm Q Q q q 1 0 0 1 -18.234 109.875 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -163.431 -648.66 cm BT /F186 8.9664 Tf 163.431 648.66 Td [ (0) ] TJ /F196 8.9664 Tf 4.313 0 Td [ (\072) ] TJ /F186 8.9664 Tf 2.394 0 Td [ (45) ] TJ ET 1 0 0 1 163.431 648.66 cm Q 1 0 0 1 18.234 -109.875 cm Q Q q q 1 0 0 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5.27835 27.62659 4.38626 28.51868 3.2858 28.51868 c 2.18532 28.51868 1.29324 27.62659 1.29324 26.52612 c 1.29324 25.42564 2.18532 24.53357 3.2858 24.53357 c 4.38626 24.53357 5.27835 25.42564 5.27835 26.52612 c h 3.2858 26.52612 m B 6.09981 26.84723 m 6.09981 27.94771 5.20772 28.83978 4.10725 28.83978 c 3.00677 28.83978 2.1147 27.94771 2.1147 26.84723 c 2.1147 25.74677 3.00677 24.85468 4.10725 24.85468 c 5.20772 24.85468 6.09981 25.74677 6.09981 26.84723 c h 4.10725 26.84723 m B 6.92125 29.61925 m 6.92125 30.71973 6.02917 31.6118 4.9287 31.6118 c 3.82823 31.6118 2.93614 30.71973 2.93614 29.61925 c 2.93614 28.51878 3.82823 27.6267 4.9287 27.6267 c 6.02917 27.6267 6.92125 28.51878 6.92125 29.61925 c h 4.9287 29.61925 m B 7.7427 31.15358 m 7.7427 32.25404 6.85063 33.14613 5.75015 33.14613 c 4.64969 33.14613 3.7576 32.25404 3.7576 31.15358 c 3.7576 30.0531 4.64969 29.16103 5.75015 29.16103 c 6.85063 29.16103 7.7427 30.0531 7.7427 31.15358 c h 5.75015 31.15358 m B 8.56416 32.3484 m 8.56416 33.44887 7.67209 34.34096 6.57161 34.34096 c 5.47115 34.34096 4.57906 33.44887 4.57906 32.3484 c 4.57906 31.24794 5.47115 30.35585 6.57161 30.35585 c 7.67209 30.35585 8.56416 31.24794 8.56416 32.3484 c h 6.57161 32.3484 m B 9.38562 33.3516 m 9.38562 34.45207 8.49353 35.34415 7.39307 35.34415 c 6.29259 35.34415 5.40051 34.45207 5.40051 33.3516 c 5.40051 32.25113 6.29259 31.35904 7.39307 31.35904 c 8.49353 31.35904 9.38562 32.25113 9.38562 33.3516 c h 7.39307 33.3516 m B 10.20708 33.12721 m 10.20708 34.22769 9.31499 35.11977 8.21452 35.11977 c 7.11404 35.11977 6.22197 34.22769 6.22197 33.12721 c 6.22197 32.02675 7.11404 31.13466 8.21452 31.13466 c 9.31499 31.13466 10.20708 32.02675 10.20708 33.12721 c h 8.21452 33.12721 m B 18.42163 37.54108 m 18.42163 38.64156 17.52954 39.53363 16.42908 39.53363 c 15.3286 39.53363 14.43652 38.64156 14.43652 37.54108 c 14.43652 36.44061 15.3286 35.54852 16.42908 35.54852 c 17.52954 35.54852 18.42163 36.44061 18.42163 37.54108 c h 16.42908 37.54108 m B 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6.22498 51.95032 5.1245 51.95032 c 4.02403 51.95032 3.13194 51.05824 3.13194 49.95776 c 3.13194 48.8573 4.02403 47.96521 5.1245 47.96521 c 6.22498 47.96521 7.11705 48.8573 7.11705 49.95776 c h 5.1245 49.95776 m B 7.75842 49.49098 m 7.75842 50.59145 6.86635 51.48354 5.76587 51.48354 c 4.6654 51.48354 3.77332 50.59145 3.77332 49.49098 c 3.77332 48.3905 4.6654 47.49843 5.76587 47.49843 c 6.86635 47.49843 7.75842 48.3905 7.75842 49.49098 c h 5.76587 49.49098 m B 8.39978 49.66612 m 8.39978 50.76659 7.5077 51.65868 6.40723 51.65868 c 5.30676 51.65868 4.41467 50.76659 4.41467 49.66612 c 4.41467 48.56564 5.30676 47.67357 6.40723 47.67357 c 7.5077 47.67357 8.39978 48.56564 8.39978 49.66612 c h 6.40723 49.66612 m B 14.81346 55.35622 m 14.81346 56.4567 13.92137 57.34877 12.8209 57.34877 c 11.72043 57.34877 10.82835 56.4567 10.82835 55.35622 c 10.82835 54.25575 11.72043 53.36366 12.8209 53.36366 c 13.92137 53.36366 14.81346 54.25575 14.81346 55.35622 c h 12.8209 55.35622 m B 21.22713 56.72435 m 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26.26183 -1.93556 l 24.26927 0.05698 m 24.26927 -3.92812 l S 32.34572 0.91707 m 32.34572 2.01753 31.45363 2.90962 30.35316 2.90962 c 29.25269 2.90962 28.36061 2.01753 28.36061 0.91707 c 28.36061 -0.1834 29.25269 -1.07547 30.35316 -1.07547 c 31.45363 -1.07547 32.34572 -0.1834 32.34572 0.91707 c h 30.35316 0.91707 m 28.36061 0.91707 m 32.34572 0.91707 l 30.35316 2.90962 m 30.35316 -1.07547 l S 38.41768 3.76376 m 38.41768 4.86423 37.52559 5.75632 36.42513 5.75632 c 35.32465 5.75632 34.43257 4.86423 34.43257 3.76376 c 34.43257 2.66328 35.32465 1.77121 36.42513 1.77121 c 37.52559 1.77121 38.41768 2.66328 38.41768 3.76376 c h 36.42513 3.76376 m 34.43257 3.76376 m 38.41768 3.76376 l 36.42513 5.75632 m 36.42513 1.77121 l S 44.4904 6.61063 m 44.4904 7.7111 43.59833 8.60318 42.49785 8.60318 c 41.39738 8.60318 40.5053 7.7111 40.5053 6.61063 c 40.5053 5.51016 41.39738 4.61807 42.49785 4.61807 c 43.59833 4.61807 44.4904 5.51016 44.4904 6.61063 c h 42.49785 6.61063 m 40.5053 6.61063 m 44.4904 6.61063 l 42.49785 8.60318 m 42.49785 4.61807 l S 50.56377 9.45874 m 50.56377 10.5592 49.67168 11.4513 48.57121 11.4513 c 47.47073 11.4513 46.57866 10.5592 46.57866 9.45874 c 46.57866 8.35826 47.47073 7.46619 48.57121 7.46619 c 49.67168 7.46619 50.56377 8.35826 50.56377 9.45874 c h 48.57121 9.45874 m 46.57866 9.45874 m 50.56377 9.45874 l 48.57121 11.4513 m 48.57121 7.46619 l S 56.6365 12.30562 m 56.6365 13.40608 55.74442 14.29817 54.64395 14.29817 c 53.54347 14.29817 52.6514 13.40608 52.6514 12.30562 c 52.6514 11.20514 53.54347 10.31306 54.64395 10.31306 c 55.74442 10.31306 56.6365 11.20514 56.6365 12.30562 c h 54.64395 12.30562 m 52.6514 12.30562 m 56.6365 12.30562 l 54.64395 14.29817 m 54.64395 10.31306 l S S Q q q 1 0 0 1 -5.695 -42.911 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -465.447 -579.381 cm BT /F147 8.9664 Tf 465.447 579.381 Td [ (\045) -250 (of) -250 (no) -7 (des) -250 (visite) -7 (d) ] TJ ET 1 0 0 1 465.447 579.381 cm Q 1 0 0 1 5.695 42.911 cm Q Q q q 1 0 0 1 92.2 2.736 cm 0 1 -1 0 0 0 cm q 0 G 0 g 1 0 0 1 -563.342 -625.028 cm BT /F147 8.9664 Tf 563.342 625.028 Td [ (time) 10 (\054) -250 (s) ] TJ ET 1 0 0 1 563.342 625.028 cm Q 1 0 0 1 -92.2 -2.736 cm Q Q q q 1 0 0 1 -9.492 58.292 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -461.65 -680.584 cm BT /F164 8.9664 Tf 461.65 680.584 Td [ (BlogCa) 50 (t) 70 (alog) ] TJ /F151 8.9664 Tf 54.471 0 Td [ (time) ] TJ ET 1 0 0 1 461.65 680.584 cm Q 1 0 0 1 9.492 -58.292 cm Q Q Q n Q 1 0 0 1 -12.481 -46.003 cm Q 1 0 0 1 -371.48 26.45 cm Q q Q q Q q Q q 4.09875 90.84747 435.87956 14.52959 re S q 1 0 0 1 5.892 96.314 cm 1 0 0 1 0 0 cm q 1 0 0 1 10.895 0 cm q q q 1 0 0 1 -9.102 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.598 0 cm q 0 G 0 g 0.3985 w q Q q 0 g q 1.19553 w 0 0 0.74902 RG 0 0 0.74902 rg 0 2.68997 m 8.50412 2.68997 l 17.00826 2.68997 l S q 10.49667 2.68997 m 10.49667 3.79044 9.60458 4.68253 8.50412 4.68253 c 7.40364 4.68253 6.51157 3.79044 6.51157 2.68997 c 6.51157 1.5895 7.40364 0.69742 8.50412 0.69742 c 9.60458 0.69742 10.49667 1.5895 10.49667 2.68997 c h 8.50412 2.68997 m B Q Q Q n Q 1 0 0 1 -0.598 0 cm Q 1 0 0 1 9.102 0 cm Q Q Q 1 0 0 1 24.193 0 cm q q q 1 0 0 1 -11.505 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -116.656 -699.053 cm BT /F164 7.9701 Tf 116.656 699.053 Td [ (FREDE) ] TJ ET 1 0 0 1 116.656 699.053 cm Q 1 0 0 1 11.505 0 cm Q Q Q 1 0 0 1 29.175 0 cm q q q 1 0 0 1 -9.102 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.598 0 cm q 0 G 0 g 0.3985 w q Q q 0 g q 1.19553 w 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 0 2.68997 m 8.50412 2.68997 l 17.00826 2.68997 l S q 8.50412 0.69742 m 6.7785 3.68625 l 10.22972 3.68625 l h B Q Q Q n Q 1 0 0 1 -0.598 0 cm Q 1 0 0 1 9.102 0 cm Q Q Q 1 0 0 1 30.473 0 cm q q q 1 0 0 1 -17.785 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -170.024 -699.053 cm BT /F147 7.9701 Tf 170.024 699.053 Td [ (Rand\056) -250 (Pr) 8 (oj\056) ] TJ ET 1 0 0 1 170.024 699.053 cm Q 1 0 0 1 17.785 0 cm Q Q Q 1 0 0 1 35.455 0 cm q q q 1 0 0 1 -9.102 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.598 0 cm q 0 G 0 g 0.3985 w q Q q 0 g q 1.19553 w 0.74902 0 0 RG 0.74902 0 0 rg 0 2.68997 m 8.50412 2.68997 l 17.00826 2.68997 l S q 8.50412 0.69742 m 8.50412 4.68253 l 10.22972 3.68625 m 6.7785 1.6937 l 10.22972 1.6937 m 6.7785 3.68625 l S Q Q Q n Q 1 0 0 1 -0.598 0 cm Q 1 0 0 1 9.102 0 cm Q Q Q 1 0 0 1 27.943 0 cm q q q 1 0 0 1 -15.255 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -235.952 -699.053 cm BT /F147 7.9701 Tf 235.952 699.053 Td [ (Sampling) ] TJ ET 1 0 0 1 235.952 699.053 cm Q 1 0 0 1 15.255 0 cm Q Q Q 1 0 0 1 32.924 0 cm q q q 1 0 0 1 -9.101 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.597 0 cm q 0 G 0 g 0.3985 w q Q q 0 g q 1.19553 w 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 0 2.68997 m 8.50412 2.68997 l 17.00826 2.68997 l S q 10.49667 2.68997 m 10.49667 3.79044 9.60458 4.68253 8.50412 4.68253 c 7.40364 4.68253 6.51157 3.79044 6.51157 2.68997 c 6.51157 1.5895 7.40364 0.69742 8.50412 0.69742 c 9.60458 0.69742 10.49667 1.5895 10.49667 2.68997 c h 8.50412 2.68997 m 6.51157 2.68997 m 10.49667 2.68997 l 8.50412 4.68253 m 8.50412 0.69742 l S Q Q Q n Q 1 0 0 1 -0.597 0 cm Q 1 0 0 1 9.101 0 cm Q Q Q 1 0 0 1 26.349 0 cm q q q 1 0 0 1 -13.66 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -296.82 -699.053 cm BT /F147 7.9701 Tf 296.82 699.053 Td [ (Hashing) ] TJ ET 1 0 0 1 296.82 699.053 cm Q 1 0 0 1 13.66 0 cm Q Q Q 1 0 0 1 29.404 0 cm q q q 1 0 0 1 -7.175 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.797 0.199 cm q 0 G 0 g 0.3985 w q Q q q 1 g 1 G 0 0 m 12.75595 0 l S 0 g 0 G Q q 1.59404 w 0.4157 0.74902 0 RG 0 2.48016 m 12.75595 2.48016 l S Q Q n Q 1 0 0 1 -0.797 -0.199 cm Q 1 0 0 1 7.175 0 cm Q Q Q 1 0 0 1 18.086 0 cm q q q 1 0 0 1 -7.325 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -350.645 -699.053 cm BT /F147 7.9701 Tf 350.645 699.053 Td [ (SVD) ] TJ ET 1 0 0 1 350.645 699.053 cm Q 1 0 0 1 7.325 0 cm Q Q Q 1 0 0 1 23.067 0 cm q q q 1 0 0 1 -7.175 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.797 0.199 cm q 0 G 0 g 0.3985 w q Q q q 1 g 1 G 0 0 m 12.75595 0 l S 0 g 0 G Q q 1.59404 w 0.74902 0.4157 0 RG 0 2.48016 m 12.75595 2.48016 l S Q Q n Q 1 0 0 1 -0.797 -0.199 cm Q 1 0 0 1 7.175 0 cm Q Q Q 1 0 0 1 24.765 0 cm q q q 1 0 0 1 -14.004 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -391.798 -699.053 cm BT /F164 7.9701 Tf 391.798 699.053 Td [ (NetSMF) ] TJ ET 1 0 0 1 391.798 699.053 cm Q 1 0 0 1 14.004 0 cm Q Q Q 1 0 0 1 29.746 0 cm q q q 1 0 0 1 -7.175 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.797 0.199 cm q 0 G 0 g 0.3985 w q Q q q 1 g 1 G 0 0 m 12.75595 0 l S 0 g 0 G Q q 1.59404 w 0.55293 0 0.74902 RG 0 2.48016 m 12.75595 2.48016 l S Q Q n Q 1 0 0 1 -0.797 -0.199 cm Q 1 0 0 1 7.175 0 cm Q Q Q 1 0 0 1 22.338 0 cm q q q 1 0 0 1 -11.577 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -446.309 -699.053 cm BT /F164 7.9701 Tf 446.309 699.053 Td [ (STRAP) ] TJ ET 1 0 0 1 446.309 699.053 cm Q 1 0 0 1 11.577 0 cm Q Q Q 1 0 0 1 27.319 0 cm q q q 1 0 0 1 -7.175 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 0.797 0.199 cm q 0 G 0 g 0.3985 w q Q q q 1 g 1 G 0 0 m 12.75595 0 l S 0 g 0 G Q q 1.59404 w 0 0.42744 0.74902 RG 0 2.48016 m 12.75595 2.48016 l S Q Q n Q 1 0 0 1 -0.797 -0.199 cm Q 1 0 0 1 7.175 0 cm Q Q Q 1 0 0 1 22.071 0 cm q q q 1 0 0 1 -11.309 0 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -495.967 -699.053 cm BT /F147 7.9701 Tf 495.967 699.053 Td [ (VERSE) ] TJ ET 1 0 0 1 495.967 699.053 cm Q 1 0 0 1 11.309 0 cm Q Q Q 1 0 0 1 18.084 0 cm q Q 1 0 0 1 -432.287 0 cm Q 1 0 0 1 -5.892 -96.314 cm Q Q Q n Q 0 g 0 G 1 0 0 1 -87.181 -602.739 cm BT /F151 8.9664 Tf 80.554 565.547 Td [ (Figur) 8 (e) -250 (5\072) -250 (Classi\033cation) -250 (p) -7 (erformance) -250 (of) ] TJ /F199 8.9664 Tf 160.722 0 Td [ (FREDE) ] TJ /F151 8.9664 Tf 31.051 0 Td [ (with) -250 (var) -15 (ying) -250 (p) -7 (er) 8 (centage) -250 (of) -250 (the) -250 (graph) -250 (as) -250 (input) -250 (on) -250 (thr) 8 (e) -7 (e) -250 (datasets\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F156 7.9701 Tf -104.85 -15.785 Td [ (lab) -10 (elle) -7 (d) -250 (no) -7 (des\054) -250 (\045) ] TJ ET q 1 0 0 1 93.839 546.635 cm [ ] 0 d 0 J 0.276 w 0 0 m 200.205 0 l S Q BT /F156 7.9701 Tf 54.794 539.523 Td [ (metho) -7 (d) ] TJ /F147 7.9701 Tf 52.821 0 Td [ (10\045) -3457 (30\045) -3457 (50\045) -3457 (70\045) -3457 (90\045) ] TJ ET q 1 0 0 1 53.798 536.304 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F164 7.9701 Tf 54.794 529.1 Td [ (DeepW) 120 (alk) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (16\05633) -2944 (19\05674) -2944 (21\05634) -2944 (22\05639) -2944 (23\05638) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (NetMF) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (18\05658) -2944 (22\05601) -2944 (23\05687) -2944 (24\05665) -2944 (25\05630) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (NetSMF) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (18\05645) -2944 (22\05638) -2944 (23\05686) -2944 (24\05659) -2944 (25\05656) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (VERSE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (16\05645) -2944 (19\05689) -2944 (21\05664) -2944 (23\05608) -2944 (23\05684) ] TJ /F164 7.9701 Tf 0.98 0 0 1 54.794 489.249 Tm [ (Louv) 71 (ainNE) ] TJ /F147 7.9701 Tf 1 0 0 1 107.424 489.249 Tm [ (13\0568) -3176 (15\05691) -2944 (16\05659) -2944 (16\05683) -2944 (17\05606) ] TJ /F164 7.9701 Tf -52.63 -9.963 Td [ (STRAP) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (18\05625) -2944 (21\05694) -2944 (23\05647) -2944 (24\05615) -2944 (24\05691) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (ProNE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (17\05656) -2944 (22\05653) -2944 (24\05629) -2944 (25\05603) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 254.004 466.335 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 265.735 469.324 Td [ (26\05602) ] TJ /F164 7.9701 Tf -210.941 -9.963 Td [ (FREDE) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 93.839 456.372 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 105.571 459.361 Td [ (19\05656) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 133.88 456.372 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 145.612 459.361 Td [ (23\05611) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 173.921 456.372 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 185.653 459.361 Td [ (24\05638) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 213.962 456.372 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 225.694 459.361 Td [ (25\05611) -2944 (25\05652) ] TJ ET q 1 0 0 1 53.798 456.142 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 54.794 448.938 Td [ (SVD) -4533 (18\05631) -2944 (22\05612) -2944 (23\05666) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 213.962 445.949 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 225.694 448.938 Td [ (25\05603) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 254.004 445.949 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 265.735 448.938 Td [ (25\05678) ] TJ -210.941 -9.963 Td [ (Rand\056) -250 (Pr) 8 (oj\056) -1908 (16\05680) -2944 (19\05699) -2944 (21\05645) -2944 (22\05638) -2944 (23\05614) ] TJ 0 -9.963 Td [ (Sampling) -2543 (16\05625) -2944 (19\05655) -2944 (20\05693) -2944 (21\05685) -2944 (22\05668) ] TJ 0 -9.962 Td [ (Hashing) -2943 (16\05673) -2944 (19\05697) -2944 (21\05651) -2944 (22\05643) -2944 (23\05644) ] TJ ET q 1 0 0 1 53.798 415.692 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 90.938 404.738 Td [ (T) 49 (able) -250 (3\072) -250 (Micr) 8 (o\055F1) -250 (classi\033cation\054) ] TJ /F199 8.9664 Tf 129.626 0 Td [ (PPI) ] TJ /F151 8.9664 Tf 16.543 0 Td [ (data\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F156 7.9701 Tf -69.63 -10.497 Td [ (lab) -10 (elle) -7 (d) -250 (no) -7 (des\054) -250 (\045) ] TJ ET q 1 0 0 1 93.839 391.114 cm [ ] 0 d 0 J 0.276 w 0 0 m 200.205 0 l S Q BT /F156 7.9701 Tf 54.794 384.002 Td [ (metho) -7 (d) ] TJ /F147 7.9701 Tf 52.821 0 Td [ (10\045) -3457 (30\045) -3457 (50\045) -3457 (70\045) -3457 (90\045) ] TJ ET q 1 0 0 1 53.798 380.783 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F164 7.9701 Tf 54.794 373.579 Td [ (DeepW) 120 (alk) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (43\05642) -2944 (47\05612) -2944 (48\05696) -2944 (49\05686) -2944 (50\05618) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (NetMF) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (43\05642) -2944 (46\05698) -2944 (48\05652) -2944 (49\05623) -2944 (49\05672) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (NetSMF) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (42\05606) -2944 (44\05625) -2944 (45\05617) -2944 (45\05660) -2944 (46\05625) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (VERSE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (40\05680) -2944 (44\05670) -2944 (46\05660) -2944 (47\05665) -2944 (48\05624) ] TJ /F164 7.9701 Tf 0.98 0 0 1 54.794 333.728 Tm [ (Louv) 71 (ainNE) ] TJ /F147 7.9701 Tf 1 0 0 1 105.571 333.728 Tm [ (41\05619) -2944 (41\05662) -2944 (41\05672) -2944 (41\05694) -2944 (41\05684) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (STRAP) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (47\05626) -2944 (50\05685) -2944 (52\05608) -2944 (52\05670) -2944 (53\05660) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (ProNE) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 93.839 310.814 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 105.571 313.803 Td [ (47\05641) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 133.88 310.814 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 145.612 313.803 Td [ (52\05618) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 173.921 310.814 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 185.653 313.803 Td [ (53\05684) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 213.962 310.814 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 225.694 313.803 Td [ (54\05657) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 254.004 310.814 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 265.735 313.803 Td [ (55\05610) ] TJ /F164 7.9701 Tf -210.941 -9.963 Td [ (FREDE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (46\05659) -2944 (49\05623) -2944 (50\05645) -2944 (51\05602) -2944 (51\05630) ] TJ ET q 1 0 0 1 53.798 300.621 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 54.794 293.417 Td [ (SVD) -4533 (44\05669) -2944 (48\05686) -2944 (50\05657) -2944 (51\05653) -2944 (52\05620) ] TJ 0 -9.963 Td [ (Rand\056) -250 (Pr) 8 (oj\056) -1908 (40\05624) -2944 (43\05687) -2944 (45\05665) -2944 (46\05643) -2944 (47\05618) ] TJ 0 -9.962 Td [ (Sampling) -2543 (40\05635) -2944 (43\05680) -2944 (45\05639) -2944 (46\05630) -2944 (46\05669) ] TJ 0 -9.963 Td [ (Hashing) -2943 (40\05617) -2944 (43\05688) -2944 (45\05644) -2944 (46\05635) -2944 (46\05679) ] TJ ET q 1 0 0 1 53.798 260.172 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 89.803 249.218 Td [ (T) 49 (able) -250 (4\072) -250 (Micr) 8 (o\055F1) -250 (classi\033cation\054) ] TJ /F199 8.9664 Tf 129.627 0 Td [ (POS) ] TJ /F151 8.9664 Tf 18.811 0 Td [ (data\056) ] TJ 0 g 0 G 0 g 0 G /F151 10.9091 Tf -184.443 -17.371 Td [ (4\0566) -1000 (No) -7 (de) -250 (classi\033cation) ] TJ /F147 8.9664 Tf 0.98 0 0 1 53.529 218.148 Tm [ (T) 50 (ables) -180 <331538> -180 (r) 8 (ep) -7 (ort) -180 (classi\033cation) -180 (r) 9 (esults) -180 (in) -180 (terms) -180 (of) -180 (the) -180 (p) -7 (opular) -180 (Micr) 8 (o\055) ] TJ 1.008 0 0 1 53.798 207.189 Tm [ (F1) -248 (measur) 8 (e) -248 (\133) ] TJ 1 0 0 1 101.053 207.189 Tm [ (25) ] TJ 1.008 0 0 1 109.391 207.189 Tm [ (\054) ] TJ 1 0 0 1 113.623 207.189 Tm [ (33) ] TJ 1.008 0 0 1 121.961 207.189 Tm [ (\135\073) -248 (Macr) 8 (o\055F1) -248 (r) 8 (esults) -249 (ar) 8 (e) -248 (similar) 59 (\056) -248 (SVD) -249 (is) -248 (featur) 8 (e) -7 (d) ] TJ 1.001 0 0 1 53.466 196.23 Tm [ (wher) 8 (e) -250 (it) -250 (runs) -249 (within) -250 (64Gb) 20 (\056) -250 (For) -249 (each) -250 (dataset\054) -250 (w) 8 (e) -250 (r) 8 (ep) -7 (eat) -249 (the) -250 (e) 7 (xp) -7 (eri\055) ] TJ 0.98 0 0 1 53.798 185.271 Tm [ (ment) ] TJ /F186 8.9664 Tf 0.98 0 0 1 74.149 185.271 Tm [ (10) ] TJ /F147 8.9664 Tf 0.98 0 0 1 84.262 185.271 Tm [ (times) -221 (and) -221 (r) 8 (ep) -7 (ort) -221 (the) -221 (av) 8 (erage) 11 (\056) -222 (Surprisingly) 61 (\054) -221 (on) ] TJ /F164 8.9664 Tf 0.98 0 0 1 248.689 185.271 Tm [ (PPI) ] TJ /F147 8.9664 Tf 0.98 0 0 1 262.748 185.271 Tm [ (and) ] TJ /F164 8.9664 Tf 0.98 0 0 1 277.914 185.271 Tm [ (POS) ] TJ /F147 8.9664 Tf 0.98 0 0 1 293.098 185.271 Tm [ (\054) ] TJ /F164 8.9664 Tf 1.02 0 0 1 53.798 174.312 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 82.493 174.312 Tm [ (outp) -7 (erforms) -250 (its) -251 (e) 7 (xact) -251 (counterpart\054) -250 (SVD) 28 (\054) -250 (and) -251 (consistently) ] TJ 1 0 0 1 53.798 163.353 Tm [ (sup) -7 (erse) -7 (des) -250 (its) -250 (sketching) -250 (counterparts) -250 (acr) 8 (oss) -250 (all) -250 (datasets\056) ] TJ /F151 10.9091 Tf 0 -21.166 Td [ (4\0567) -1000 (Link) -250 (pr) 8 (e) -7 (diction) ] TJ /F147 8.9664 Tf 1.02 0 0 1 53.798 128.488 Tm [ (Link) -257 (pr) 7 (e) -6 (diction) -258 (is) -257 (the) -258 (task) -257 (of) -257 (pr) 7 (e) -6 (dicting) -258 (the) -257 (app) -7 (earance) -257 (of) -258 (a) -257 (link) ] TJ 1.02 0 0 1 53.798 117.529 Tm [ (b) -10 (etw) 8 (e) -7 (en) -306 (p) 1 (airs) -306 (of) -306 (no) -7 (des) -305 (in) -306 (a) -306 (graph\056) -306 (T) 48 (ables) -305 (10) -306 (and) -306 (11) -306 (r) 8 (ep) -7 (ort) -305 (link) ] TJ 0.981 0 0 1 53.798 106.57 Tm [ (pr) 8 (e) -7 (diction) -254 (accuracy) -254 (\050pr) 8 (e) -7 (dicting) -254 (the) -254 (app) -7 (earance) -254 (of) -254 (a) -254 (link\051) -254 (on) ] TJ /F164 8.9664 Tf 0.981 0 0 1 271.087 106.57 Tm [ (CoA) 36 (u\055) ] TJ 0.99 0 0 1 53.565 95.612 Tm [ (thor) ] TJ /F147 8.9664 Tf 0.99 0 0 1 75.458 95.612 Tm [ (and) ] TJ /F164 8.9664 Tf 0.99 0 0 1 91.057 95.612 Tm [ (VK) ] TJ /F147 8.9664 Tf 0.99 0 0 1 104.739 95.612 Tm [ (by) -252 (a) -253 (logistic) -252 (r) 8 (egr) 8 (ession) -252 (classi\033er) -252 (on) -253 (featur) 8 (es) -252 (deriv) 8 (e) -7 (d) ] TJ 1.02 0 0 1 53.798 84.653 Tm [ (fr) 8 (om) -314 (emb) -10 (e) -7 (ddings) -313 (by) -314 (the) -314 (rules) -314 (in) -313 (T) 48 (able) -314 (9\056) -314 (A) 12 (s) -314 (a) -314 (baseline) 10 (\054) -314 (w) 8 (e) -314 (use) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F156 7.9701 Tf 1 0 0 1 431.634 549.762 Tm [ (lab) -10 (elle) -7 (d) -250 (no) -7 (des\054) -250 (\045) ] TJ ET q 1 0 0 1 357.996 546.635 cm [ ] 0 d 0 J 0.276 w 0 0 m 200.205 0 l S Q BT /F156 7.9701 Tf 318.951 539.523 Td [ (metho) -7 (d) ] TJ /F147 7.9701 Tf 52.821 0 Td [ (10\045) -3457 (30\045) -3457 (50\045) -3457 (70\045) -3457 (90\045) ] TJ ET q 1 0 0 1 317.955 536.304 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F164 7.9701 Tf 318.951 529.1 Td [ (DeepW) 120 (alk) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (36\05622) -2944 (39\05684) -2944 (41\05622) -2944 (42\05606) -2944 (42\05653) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (NetMF) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (36\05662) -2944 (39\05680) -2944 (41\05605) -2944 (41\05670) -2944 (42\05617) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (NetSMF) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (35\05674) -2944 (39\05616) -2944 (40\05617) -2944 (40\05682) -2944 (41\05606) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (VERSE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (35\05682) -2944 (40\05606) -2944 (41\05663) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 478.119 496.223 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 489.851 499.212 Td [ (42\05663) -2944 (43\05614) ] TJ /F164 7.9701 Tf 0.98 0 0 1 318.951 489.249 Tm [ (Louv) 71 (ainNE) ] TJ /F147 7.9701 Tf 1 0 0 1 369.728 489.249 Tm [ (18\05640) -2944 (19\05699) -2944 (20\05668) -2944 (21\05617) -2944 (21\05640) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (STRAP) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 357.996 476.298 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 369.728 479.286 Td [ (37\05648) -2944 (40\05674) -2944 (41\05682) -2944 (42\05640) -2944 (42\05688) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (ProNE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (36\05674) -2944 (40\05619) -2944 (41\05627) -2944 (41\05675) -2944 (41\05699) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (FREDE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (35\05669) -2944 (38\05688) -2944 (39\05698) -2944 (40\05654) -2944 (40\05675) ] TJ ET q 1 0 0 1 317.955 456.142 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 318.951 448.938 Td [ (SVD) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 357.996 445.949 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 369.728 448.938 Td [ (37\05660) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 398.037 445.949 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 409.769 448.938 Td [ (40\05699) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 438.078 445.949 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 449.81 448.938 Td [ (42\05610) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 478.119 445.949 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 489.851 448.938 Td [ (42\05666) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 518.16 445.949 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 529.892 448.938 Td [ (43\05647) ] TJ -210.941 -9.963 Td [ (Rand\056) -250 (Pr) 8 (oj\056) -1908 (30\05682) -2944 (34\05643) -2944 (35\05681) -2944 (36\05652) -2944 (37\05616) ] TJ 0 -9.963 Td [ (Sampling) -2543 (29\05644) -2944 (32\05632) -2944 (33\05641) -2944 (34\05604) -2944 (34\05629) ] TJ 0 -9.962 Td [ (Hashing) -2943 (30\05681) -2944 (34\05636) -2944 (35\05682) -2944 (36\05665) -2944 (37\05628) ] TJ ET q 1 0 0 1 317.955 415.692 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 333.158 404.738 Td [ (T) 49 (able) -250 (5\072) -250 (Micr) 8 (o\055F1) -250 (classi\033cation\054) ] TJ /F199 8.9664 Tf 129.627 0 Td [ (BlogCa) 50 (t) 50 (alog) ] TJ /F151 8.9664 Tf 60.415 0 Td [ (data\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F156 7.9701 Tf -91.566 -18.637 Td [ (lab) -10 (elle) -7 (d) -250 (no) -7 (des\054) -250 (\045) ] TJ ET q 1 0 0 1 357.996 382.974 cm [ ] 0 d 0 J 0.276 w 0 0 m 200.205 0 l S Q BT /F156 7.9701 Tf 318.951 375.862 Td [ (metho) -7 (d) ] TJ /F147 7.9701 Tf 54.674 0 Td [ (1\045) -3922 (3\045) -3922 (5\045) -3922 (7\045) -3922 (9\045) ] TJ ET q 1 0 0 1 317.955 372.643 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F164 7.9701 Tf 318.951 365.439 Td [ (DeepW) 120 (alk) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (37\05622) -2944 (40\05634) -2944 (41\05672) -2944 (42\05659) -2944 (43\05616) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (NetSMF) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (41\05607) -2944 (43\05629) -2944 (44\05613) -2944 (44\05661) -2944 (44\05699) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (VERSE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (38\05695) -2944 (41\05620) -2944 (42\05655) -2944 (43\05641) -2944 (44\05601) ] TJ /F164 7.9701 Tf 0.98 0 0 1 318.951 335.551 Tm [ (Louv) 71 (ainNE) ] TJ /F147 7.9701 Tf 1 0 0 1 369.728 335.551 Tm [ (35\05629) -2944 (36\05656) -2944 (37\05614) -2944 (37\05649) -2944 (37\05667) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (STRAP) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (35\05686) -2944 (41\05693) -2944 (43\05638) -2944 (43\05680) -2944 (44\05612) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (ProNE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (35\05682) -2944 (39\05654) -2944 (40\05672) -2944 (41\05646) -2944 (41\05697) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (FREDE) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 357.996 302.674 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 369.728 305.663 Td [ (42\05646) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 398.037 302.674 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 409.769 305.663 Td [ (44\05656) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 438.078 302.674 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 449.81 305.663 Td [ (45\05639) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 478.119 302.674 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 489.851 305.663 Td [ (45\05684) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 518.16 302.674 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 529.892 305.663 Td [ (46\05617) ] TJ ET q 1 0 0 1 317.955 302.444 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 318.951 295.239 Td [ (Rand\056) -250 (Pr) 8 (oj\056) -1908 (40\05689) -2944 (42\05663) -2944 (43\05663) -2944 (44\05632) -2944 (44\05678) ] TJ 0 -9.962 Td [ (Sampling) -2543 (40\05684) -2944 (42\05697) -2944 (43\05693) -2944 (44\05649) -2944 (44\05691) ] TJ 0 -9.963 Td [ (Hashing) -2943 (40\05686) -2944 (42\05666) -2944 (43\05665) -2944 (44\05629) -2944 (44\05683) ] TJ ET q 1 0 0 1 317.955 271.957 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 349.051 261.003 Td [ (T) 49 (able) -250 (6\072) -250 (Micr) 8 (o\055F1) -250 (classi\033cation\054) ] TJ /F199 8.9664 Tf 129.627 0 Td [ (CoCit) ] TJ /F151 8.9664 Tf 28.629 0 Td [ (data\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F156 7.9701 Tf -75.673 -18.638 Td [ (lab) -10 (elle) -7 (d) -250 (no) -7 (des\054) -250 (\045) ] TJ ET q 1 0 0 1 357.996 239.238 cm [ ] 0 d 0 J 0.276 w 0 0 m 200.205 0 l S Q BT /F156 7.9701 Tf 318.951 232.126 Td [ (metho) -7 (d) ] TJ /F147 7.9701 Tf 54.674 0 Td [ (1\045) -3922 (3\045) -3922 (5\045) -3922 (7\045) -3922 (9\045) ] TJ ET q 1 0 0 1 317.955 228.907 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F164 7.9701 Tf 318.951 221.703 Td [ (DeepW) 120 (alk) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 357.996 218.714 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 369.728 221.703 Td [ (32\05639) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 398.037 218.714 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 409.769 221.703 Td [ (36\05602) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 438.078 218.714 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 449.81 221.703 Td [ (37\05641) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 478.119 218.714 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 489.851 221.703 Td [ (38\05615) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 518.16 218.714 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 529.892 221.703 Td [ (38\05670) ] TJ /F164 7.9701 Tf -210.941 -9.963 Td [ (VERSE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (30\05608) -2944 (34\05622) -2944 (36\05606) -2944 (37\05611) -2944 (37\05683) ] TJ /F164 7.9701 Tf 0.98 0 0 1 318.951 201.778 Tm [ (Louv) 71 (ainNE) ] TJ /F147 7.9701 Tf 1 0 0 1 369.728 201.778 Tm [ (22\05619) -2944 (22\05660) -2944 (22\05673) -2944 (22\05689) -2944 (23\05603) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (STRAP) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (30\05613) -2944 (34\05626) -2944 (35\05675) -2944 (36\05660) -2944 (37\05614) ] TJ /F164 7.9701 Tf -50.777 -9.963 Td [ (ProNE) ] TJ /F147 7.9701 Tf 50.777 0 Td [ (30\05690) -2944 (35\05611) -2944 (36\05663) -2944 (37\05647) -2944 (38\05604) ] TJ /F164 7.9701 Tf -50.777 -9.962 Td [ (FREDE) ] TJ 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m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 53.502 495.628 Td [ (T) 49 (able) -573 (9\072) -574 (Edge) -574 (emb) -10 (e) -7 (dding) -573 (strategies) -573 (for) -573 (link) -573 (pr) 8 (e) -7 (diction\054) ] TJ 0.296 -11.512 Td [ (no) -7 (des) ] TJ /F194 8.9664 Tf 25.474 0 Td [ (u) ] TJ /F196 8.9664 Tf 5.119 0 Td [ (\073) ] TJ /F190 8.9664 Tf 3.154 0 Td [ (v) ] TJ /F265 8.9664 Tf 8.148 0 Td [ (2) ] TJ /F194 8.9664 Tf 6.893 0 Td [ (V) ] TJ /F151 8.9664 Tf 8.984 0 Td [ (and) -250 (corr) 8 (esp) -7 (onding) -250 (emb) -10 (e) -7 (ddings) ] TJ /F385 8.9664 Tf 129.376 0 Td [ (a) ] TJ /F196 8.9664 Tf 4.178 0 Td [ (\073) ] TJ /F385 8.9664 Tf 3.736 0 Td [ (b) ] TJ /F265 8.9664 Tf 7.198 0 Td [ (2) ] TJ /F260 8.9664 Tf 7.476 0 Td [ (R) ] TJ /F271 7.2727 Tf 5.799 3.255 Td [ (d) ] TJ /F151 8.9664 Tf 5.138 -3.255 Td [ (\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F156 7.9701 Tf -219.677 -13.724 Td [ (metho) -7 (d) ] TJ /F646 7.9701 Tf 46.079 0 Td [ (A) 65 (v) 8 (erage) -1911 (Concat) -1350 (Hadamar) 8 (d) -2342 (L1) -4044 (L2) ] TJ ET q 1 0 0 1 53.798 467.172 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F164 7.9701 Tf 54.795 459.968 Td [ (DeepW) 120 (alk) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (68\05697) -2944 (68\05643) -2944 (66\05661) -2944 (78\05680) ] TJ ET q 1 0 0 1 225.694 458.314 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 265.735 459.968 Td [ (77\05689) ] TJ /F164 7.9701 Tf -210.94 -9.962 Td [ (NetSMF) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (74\05659) -2944 (74\05624) -2944 (81\05682) ] TJ ET q 1 0 0 1 185.653 448.352 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 450.006 Td [ (64\05673) -2944 (64\05657) ] TJ /F164 7.9701 Tf -170.899 -9.963 Td [ (VERSE) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (79\05662) -2944 (79\05625) -2944 (86\05627) ] TJ ET q 1 0 0 1 185.653 438.389 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 440.043 Td [ (75\05615) -2944 (75\05632) ] TJ /F164 7.9701 Tf 0.98 0 0 1 54.795 430.08 Tm [ (Louv) 71 (ainNE) ] TJ /F147 7.9701 Tf 1 0 0 1 105.571 430.08 Tm [ (67\05688) -2944 (67\05645) -2944 (67\05685) -2944 (69\05666) ] TJ ET q 1 0 0 1 225.694 428.426 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 265.735 430.08 Td [ (69\05691) ] TJ /F164 7.9701 Tf -210.94 -9.962 Td [ (STRAP) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (79\05608) -2944 (78\05672) -2944 (80\05632) ] TJ ET q 1 0 0 1 185.653 418.464 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 420.118 Td [ (71\05681) -2944 (72\05605) ] TJ /F164 7.9701 Tf -170.899 -9.963 Td [ (ProNE) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (74\05615) -2944 (73\05688) -2944 (74\05674) -2944 (74\05680) ] TJ ET q 1 0 0 1 225.694 408.501 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 265.735 410.155 Td [ (73\05689) ] TJ /F164 7.9701 Tf -210.94 -9.963 Td [ (FREDE) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (81\05628) -2944 (80\05695) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 173.922 397.204 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 185.653 400.192 Td [ (86\05683) ] TJ ET q 1 0 0 1 185.653 398.539 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 400.192 Td [ (81\05670) -2944 (82\05637) ] TJ ET q 1 0 0 1 53.798 396.973 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 54.795 389.769 Td [ (Rand\056) -250 (Pr) 8 (oj\056) -1908 (80\05681) -2944 (80\05654) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 173.922 386.78 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 185.653 389.769 Td [ (86\05673) ] TJ ET q 1 0 0 1 185.653 388.115 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 389.769 Td [ (80\05679) -2944 (81\05642) ] TJ -170.899 -9.963 Td [ (Sampling) -2543 (80\05698) -2944 (80\05674) -2944 (86\05645) ] TJ ET q 1 0 0 1 185.653 378.153 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 379.806 Td [ (79\05653) -2944 (79\05651) ] TJ -170.899 -9.962 Td [ (Hashling) -2679 (80\05684) -2944 (80\05648) -2944 (86\05666) ] TJ ET q 1 0 0 1 185.653 368.19 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 369.844 Td [ (80\05659) -2944 (81\05633) ] TJ ET q 1 0 0 1 53.798 366.624 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 54.795 359.42 Td [ (Baseline) -13013 (77\05653) ] TJ ET q 1 0 0 1 53.798 356.063 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 68.603 345.109 Td [ (T) 49 (able) -250 (10\072) -250 (Link) -250 (pr) 8 (e) -7 (diction) -250 (accuracy) 59 (\054) ] TJ /F199 8.9664 Tf 143.094 0 Td [ (CoA) 35 (uthor) ] TJ /F151 8.9664 Tf 47.746 0 Td [ (data\056) ] TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G /F156 7.9701 Tf -204.648 -13.724 Td [ (metho) -7 (d) ] TJ /F646 7.9701 Tf 46.078 0 Td [ (A) 65 (v) 8 (erage) -1911 (Concat) -1350 (Hadamar) 8 (d) -2342 (L1) -4044 (L2) ] TJ ET q 1 0 0 1 53.798 328.165 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F164 7.9701 Tf 54.795 320.961 Td [ (DeepW) 120 (alk) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (69\05698) -2944 (69\05683) -2944 (69\05656) -2944 (78\05642) ] TJ ET q 1 0 0 1 225.694 319.307 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 265.735 320.961 Td [ (77\05642) ] TJ /F164 7.9701 Tf -210.94 -9.963 Td [ (NetSMF) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (72\05663) -2944 (72\05651) -2944 (68\05617) -2944 (74\05652) ] TJ ET q 1 0 0 1 225.694 309.345 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 265.735 310.998 Td [ (74\05605) ] TJ /F164 7.9701 Tf -210.94 -9.962 Td [ (VERSE) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (74\05656) -2944 (74\05642) ] TJ 0.8247 0.92471 0.7 rg 0.8247 0.92471 0.7 RG ET q 1 0 0 1 173.922 298.047 cm 0 0 40.041 9.963 re f Q 0 g 0 G BT /F147 7.9701 Tf 185.653 301.036 Td [ (80\05694) ] TJ ET q 1 0 0 1 185.653 299.382 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 301.036 Td [ (77\05616) -2944 (77\05647) ] TJ /F164 7.9701 Tf 0.98 0 0 1 54.795 291.073 Tm [ (Louv) 71 (ainNE) ] TJ /F147 7.9701 Tf 1 0 0 1 105.571 291.073 Tm [ (66\05687) -2944 (66\05678) -2944 (67\05674) -2944 (67\05642) -2944 (67\05644) ] TJ /F164 7.9701 Tf -50.776 -9.962 Td [ (STRAP) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (74\05635) -2944 (74\05623) -2944 (76\05693) ] TJ ET q 1 0 0 1 185.653 279.457 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 281.111 Td [ (67\05684) -2944 (66\05610) ] TJ /F164 7.9701 Tf -170.899 -9.963 Td [ (ProNE) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (71\05629) -2944 (71\05614) -2944 (74\05692) ] TJ ET q 1 0 0 1 185.653 269.494 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 271.148 Td [ (73\05654) -2944 (74\05641) ] TJ /F164 7.9701 Tf -170.899 -9.963 Td [ (FREDE) ] TJ /F147 7.9701 Tf 50.776 0 Td [ (74\05668) -2944 (74\05659) -2944 (77\05663) ] TJ ET q 1 0 0 1 185.653 259.532 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 261.185 Td [ (74\05625) -2944 (73\05660) ] TJ ET q 1 0 0 1 53.798 257.966 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 54.795 250.762 Td [ (Rand\056) -250 (Pr) 8 (oj\056) -1908 (74\05641) -2944 (74\05627) -2944 (77\05601) ] TJ ET q 1 0 0 1 185.653 249.108 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 250.762 Td [ (74\05633) -2944 (74\05656) ] TJ -170.899 -9.963 Td [ (Sampling) -2543 (74\05638) -2944 (74\05627) -2944 (76\05682) ] TJ ET q 1 0 0 1 185.653 239.145 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 240.799 Td [ (72\05626) -2944 (71\05695) ] TJ -170.899 -9.962 Td [ (Hashing) -2943 (74\05636) -2944 (74\05627) -2944 (76\05686) ] TJ ET q 1 0 0 1 185.653 229.183 cm [ ] 0 d 0 J 0.446 w 0 0 m 16.578 0 l S Q BT /F147 7.9701 Tf 225.694 230.837 Td [ (74\05630) -2944 (74\05656) ] TJ ET q 1 0 0 1 53.798 227.617 cm [ ] 0 d 0 J 0.461 w 0 0 m 240.247 0 l S Q BT /F147 7.9701 Tf 54.795 220.413 Td [ (Baseline) -13013 (78\05684) ] TJ ET q 1 0 0 1 53.798 217.056 cm [ ] 0 d 0 J 0.737 w 0 0 m 240.247 0 l S Q 0 g 0 G BT /F151 8.9664 Tf 84.917 206.102 Td [ (T) 49 (able) -250 (11\072) -250 (Link) -250 (pr) 8 (e) -7 (diction) -250 (accuracy) 59 (\054) ] TJ /F199 8.9664 Tf 143.094 0 Td [ (VK) ] TJ /F151 8.9664 Tf 15.117 0 Td [ (data\056) ] TJ 0 g 0 G 0 g 0 G /F147 8.9664 Tf 0.98 0 0 1 53.798 185.379 Tm [ (negativ) 8 (e) -254 (sampling\054) -254 (and) -254 (use) -254 (50\045) -254 (of) -254 (links) -254 (for) -254 (training) -254 (and) -254 (r) 8 (emaining) ] TJ 1.02 0 0 1 53.798 174.42 Tm [ (50\045) -291 (for) -290 (testing\056) ] TJ /F164 8.9664 Tf 1.02 0 0 1 114.409 174.42 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.02 0 0 1 143.47 174.42 Tm [ (outp) -7 (erforms) -290 (all) -291 (metho) -7 (ds) -291 (on) ] TJ /F164 8.9664 Tf 1.02 0 0 1 250.962 174.42 Tm [ (CoCit) ] TJ /F147 8.9664 Tf 1.02 0 0 1 275.61 174.42 Tm [ (\054) -291 (and) ] TJ 1.02 0 0 1 53.798 163.461 Tm [ (all) -321 (sketching) -320 (baselines) -321 (on) ] TJ /F164 8.9664 Tf 1.02 0 0 1 154.022 163.461 Tm [ (VK) ] TJ /F147 8.9664 Tf 1.02 0 0 1 165.811 163.461 Tm [ (\056) -321 (Surprisingly) 58 (\054) -321 (sketching) -320 (baselines) ] TJ 1 0 0 1 53.798 152.502 Tm [ (p) -7 (erform) -250 (b) -10 (etter) -250 (than) -250 (state\055of\055the\055art) -250 (graph) -250 (emb) -10 (e) -7 (ddings) -250 (on) ] TJ /F164 8.9664 Tf 213.991 0 Td [ (CoCit) ] TJ /F147 8.9664 Tf 24.165 0 Td [ (\056) ] TJ /F151 10.9091 Tf -238.156 -21.274 Td [ (4\0568) -1000 (Anytime) -250 (classi\033cation) ] TJ /F147 8.9664 Tf 1.02 0 0 1 53.368 117.529 Tm [ (W) 78 (e) -298 (study) -298 (anytime) -298 (op) -7 (eration) -298 (\050Se) -7 (ction) -298 (3\0562\051) -299 (on) -298 (no) -7 (de) -298 (classi\033cation) ] TJ 0.98 0 0 1 53.798 106.57 Tm [ (using) -214 (50\045) -214 (of) -214 (no) -7 (des) -215 (for) -214 (training) -214 (and) -214 (pr) 8 (o) -7 (cessing) -214 (PPR) -214 (r) 8 (o) 7 (ws) -214 (in) -214 (random) ] TJ 0.98 0 0 1 53.798 95.611 Tm [ (or) 8 (der) 60 (\056) -202 (Figur) 8 (e) -203 (5) -202 (pr) 8 (esents) -203 (r) 8 (esults) -202 (for) -203 (PPR\055base) -7 (d) -202 (metho) -7 (ds) -203 (and) ] TJ /F164 8.9664 Tf 0.98 0 0 1 263.382 95.611 Tm [ (NetSMF) ] TJ /F147 8.9664 Tf 0.98 0 0 1 53.798 84.653 Tm [ (on) -174 (thr) 8 (e) -7 (e) -174 (datasets\056) ] TJ /F164 8.9664 Tf 0.98 0 0 1 116.95 84.653 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 143.847 84.653 Tm [ (outp) -7 (erforms) -174 (all) -174 (others) -175 (on) -174 (PPI\054) -174 (as) -174 (in) -174 (T) 50 (able) -174 (3\054) ] TJ 1.02 0 0 1 317.955 698.351 Tm [ (after) -345 (pr) 8 (o) -7 (cessing) -345 (only) -346 (1\045) -345 (of) -345 (similarities\056) -346 (Remarkably) 58 (\054) -345 (on) ] TJ /F164 8.9664 Tf 1.02 0 0 1 533.787 698.351 Tm [ (CoCit) ] TJ /F147 8.9664 Tf 1.017 0 0 1 317.955 687.392 Tm [ (data\054) -246 (all) -246 (sketchers) -247 (outp) -6 (erform) -247 (all) -246 (other) -246 (metho) -7 (ds) -246 (after) -246 (pr) 8 (o) -7 (cessing) ] TJ 0.98 0 0 1 317.955 676.433 Tm [ (ab) -10 (out) -243 (3\045) -243 (of) -243 (no) -7 (des\073) -243 (their) -242 (do) 7 (wnstr) 8 (eam) -243 (p) -7 (erformance) -243 (dr) 8 (ops) -243 (ther) 9 (eafter) 60 (\054) ] TJ 1.02 0 0 1 317.955 665.474 Tm [ (a) -368 (fact) -368 (indicating) -368 (that) -368 (mor) 8 (e) -368 (information\054) -368 (r) 8 (e) 7 (v) 8 (ealing) -368 (inter\055cluster) ] TJ 1.02 0 0 1 317.955 654.516 Tm [ (conne) -7 (ctions\054) -305 (harms) -305 (the) -305 (classi\033cation) -305 (outcomes\056) -305 (A) -305 (similar) -305 (e\035e) -7 (ct) ] TJ 1.011 0 0 1 317.955 643.557 Tm [ (app) -7 (ears) -248 (for) -248 (sketching) -248 (baselines) -248 (with) ] TJ /F164 8.9664 Tf 1.011 0 0 1 454.938 643.557 Tm [ (PPI) ] TJ /F147 8.9664 Tf 1.011 0 0 1 469.687 643.557 Tm [ (data\054) -248 (y) 8 (et) -248 (not) -248 (for) ] TJ /F164 8.9664 Tf 1.011 0 0 1 531.023 643.557 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.011 0 0 1 557.194 643.557 Tm [ (\054) ] TJ 0.98 0 0 1 317.623 632.598 Tm [ (which) -186 (outp) -7 (erforms) -186 (all) -185 (others) -186 (after) -186 (pr) 8 (o) -7 (cessing) -186 (less) -185 (than) -186 (20\045) -186 (of) -186 (no) -7 (des) ] TJ 0.994 0 0 1 317.955 621.639 Tm [ (and) -252 (ke) -7 (eps) -252 (gr) 8 (o) 7 (wing) -251 (ther) 8 (eafter) 59 (\056) ] TJ /F164 8.9664 Tf 0.994 0 0 1 428.736 621.639 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.994 0 0 1 456.71 621.639 Tm [ (also) -252 (p) -7 (erforms) -252 (comp) -7 (etitiv) 8 (ely) ] TJ 0.985 0 0 1 317.955 610.68 Tm [ (on) ] TJ /F164 8.9664 Tf 0.985 0 0 1 329.427 610.68 Tm [ (Flickr) ] TJ /F147 8.9664 Tf 0.985 0 0 1 356.25 610.68 Tm [ (\050) 17 (w) 8 (e) -253 (e) 8 (xamine) -253 (up) -253 (to) -253 (10\045) -253 (of) -253 (no) -7 (des\054) -253 (as) -253 (Random) -253 (Pr) 8 (oje) -7 (ctions) ] TJ 1.02 0 0 1 317.623 599.721 Tm [ (was) -284 (ine\034cient\073) -284 (SVD) -284 (and) ] TJ /F164 8.9664 Tf 1.02 0 0 1 412.754 599.721 Tm [ (NetSMF) ] TJ /F147 8.9664 Tf 1.02 0 0 1 447.488 599.721 Tm [ (did) -284 (not) -284 (run) -284 (within) -284 (64Gb\051) -284 (and) ] TJ /F164 8.9664 Tf 0.991 0 0 1 317.955 588.762 Tm [ (BlogCa) 50 (t) 71 (alog) ] TJ /F147 8.9664 Tf 0.991 0 0 1 369.705 588.762 Tm [ (\054) -252 (as) -252 (in) -251 (T) 49 (ables) -252 (5) -252 (and) -252 (7\056) -251 (The) -252 (rightmost) -252 (plot) -252 (in) -252 (Figur) 8 (e) -251 (5) ] TJ 0.999 0 0 1 317.955 577.803 Tm [ (sho) 7 (ws) -249 (runtime) -248 (on) ] TJ /F164 8.9664 Tf 0.999 0 0 1 386.239 577.803 Tm [ (BlogCa) 50 (t) 70 (alog) ] TJ /F147 8.9664 Tf 0.999 0 0 1 438.415 577.803 Tm [ (\073) -249 (while) -248 (sketchers\047) -249 (runtime) -249 (gr) 8 (o) 7 (ws) ] TJ 0.98 0 0 1 317.955 566.844 Tm [ (linearly) 60 (\054) -185 (those) -186 (of) -185 (one\055o\035) -185 (metho) -8 (ds\054) -185 (e) 7 (xcept) ] TJ /F164 8.9664 Tf 0.98 0 0 1 464.597 566.844 Tm [ (STRAP) ] TJ /F147 8.9664 Tf 0.98 0 0 1 490.123 566.844 Tm [ (\054) -185 (stand) -186 (apart\056) -186 (These) ] TJ 0.98 0 0 1 317.955 555.885 Tm [ (r) 8 (esults) -172 (illustrate) -172 (that) -173 (emb) -10 (e) -7 (dding) -172 (merging) -173 (pr) 8 (eser) -15 (v) 8 (es) -172 (the) -172 (do) 7 (wnstr) 8 (eam) ] TJ 1.02 0 0 1 317.955 544.927 Tm [ (quality\073) -248 (as) -247 (Equation) -248 (2) -247 (sho) 6 (ws\054) -247 (merging) -248 (tw) 8 (o) -247 (emb) -10 (e) -7 (ddings) -248 (amounts) ] TJ 1.02 0 0 1 317.955 533.968 Tm [ (to) -250 (sketching) -251 (their) -250 (concatenation\073) -250 (ther) 7 (efor) 8 (e) 10 (\054) -250 (the) -251 (sketch) -250 (op) -7 (eration) ] TJ 0.98 0 0 1 317.641 523.009 Tm [ (Algorithm) -171 (1) -170 (p) -7 (erio) -7 (dically) -171 (p) -7 (erforms) -170 (with) -171 (each) -170 (ne) 7 (w) ] TJ /F194 8.9664 Tf 1 0 0 1 492.255 523.009 Tm [ (d) ] TJ /F147 8.9664 Tf 0.98 0 0 1 498.81 523.009 Tm [ (similarity) -170 (matrix) ] TJ 1 0 0 1 317.955 512.05 Tm [ (r) 8 (o) 7 (ws) -250 (it) -250 (pr) 8 (o) -7 (cesses) -250 (can) -250 (also) -250 (b) -10 (e) -250 (vie) 7 (w) 8 (e) -7 (d) -250 (as) -250 (a) ] TJ /F314 8.9664 Tf 151.747 0 Td [ (merge) ] TJ /F147 8.9664 Tf 24.657 0 Td [ (op) -7 (eration\056) ] TJ 0 g 0 G ET 1 0 0 1 332.995 412.026 cm q 0 G 0 g 0.3985 w q Q q q Q q Q q 1 0 0 1 0 0 cm q Q Q q Q q Q q Q q Q q 1 0 0 1 -10.104 -28.293 cm 1 0 0 1 0 0 cm q 1 0 0 1 -188.208 2.434 cm q 0 G 0 g 0.3985 w q Q q q q q 0.3985 w 0.75 g 0.75 G [ 0.3985 1.99255 ] 0 d 220.73035 26.6734 m 416.14752 26.6734 l 220.73035 53.34682 m 416.14752 53.34682 l 220.73035 80.02025 m 416.14752 80.02025 l S 0 g 0 G Q Q q q 0.19925 w 0.5 g 0.5 G 229.57323 25.85854 m 229.57323 28.6939 l 237.82195 25.85854 m 237.82195 28.6939 l 244.22037 25.85854 m 244.22037 28.6939 l 249.4484 25.85854 m 249.4484 28.6939 l 253.8683 25.85854 m 253.8683 28.6939 l 257.6971 25.85854 m 257.6971 28.6939 l 261.07439 25.85854 m 261.07439 28.6939 l 264.09552 25.85854 m 264.09552 28.6939 l 283.97069 25.85854 m 283.97069 28.6939 l 295.59712 25.85854 m 295.59712 28.6939 l 303.84584 25.85854 m 303.84584 28.6939 l 310.24425 25.85854 m 310.24425 28.6939 l 315.47227 25.85854 m 315.47227 28.6939 l 319.89218 25.85854 m 319.89218 28.6939 l 323.721 25.85854 m 323.721 28.6939 l 327.09827 25.85854 m 327.09827 28.6939 l 330.1194 25.85854 m 330.1194 28.6939 l 349.99457 25.85854 m 349.99457 28.6939 l 361.621 25.85854 m 361.621 28.6939 l 369.86972 25.85854 m 369.86972 28.6939 l 376.26814 25.85854 m 376.26814 28.6939 l 381.49617 25.85854 m 381.49617 28.6939 l 385.91608 25.85854 m 385.91608 28.6939 l 389.74487 25.85854 m 389.74487 28.6939 l 393.12216 25.85854 m 393.12216 28.6939 l 229.57323 94.41339 m 229.57323 91.57805 l 237.82195 94.41339 m 237.82195 91.57805 l 244.22037 94.41339 m 244.22037 91.57805 l 249.4484 94.41339 m 249.4484 91.57805 l 253.8683 94.41339 m 253.8683 91.57805 l 257.6971 94.41339 m 257.6971 91.57805 l 261.07439 94.41339 m 261.07439 91.57805 l 264.09552 94.41339 m 264.09552 91.57805 l 283.97069 94.41339 m 283.97069 91.57805 l 295.59712 94.41339 m 295.59712 91.57805 l 303.84584 94.41339 m 303.84584 91.57805 l 310.24425 94.41339 m 310.24425 91.57805 l 315.47227 94.41339 m 315.47227 91.57805 l 319.89218 94.41339 m 319.89218 91.57805 l 323.721 94.41339 m 323.721 91.57805 l 327.09827 94.41339 m 327.09827 91.57805 l 330.1194 94.41339 m 330.1194 91.57805 l 349.99457 94.41339 m 349.99457 91.57805 l 361.621 94.41339 m 361.621 91.57805 l 369.86972 94.41339 m 369.86972 91.57805 l 376.26814 94.41339 m 376.26814 91.57805 l 381.49617 94.41339 m 381.49617 91.57805 l 385.91608 94.41339 m 385.91608 91.57805 l 389.74487 94.41339 m 389.74487 91.57805 l 393.12216 94.41339 m 393.12216 91.57805 l S 0 g 0 G Q q 0.19925 w 0.5 g 0.5 G 264.09552 25.85854 m 264.09552 30.11108 l 330.1194 25.85854 m 330.1194 30.11108 l 396.1433 25.85854 m 396.1433 30.11108 l 264.09552 94.41339 m 264.09552 90.16084 l 330.1194 94.41339 m 330.1194 90.16084 l 396.1433 94.41339 m 396.1433 90.16084 l S 0 g 0 G Q Q q q 0.19925 w 0.5 g 0.5 G 220.73035 26.6734 m 224.97612 26.6734 l 220.73035 53.34682 m 224.97612 53.34682 l 220.73035 80.02025 m 224.97612 80.02025 l 416.14752 26.6734 m 411.90175 26.6734 l 416.14752 53.34682 m 411.90175 53.34682 l 416.14752 80.02025 m 411.90175 80.02025 l S 0 g 0 G Q Q 220.73035 25.85854 m 220.73035 94.41339 l 416.14752 94.41339 l 416.14752 25.85854 l 220.73035 25.85854 l h S q q 1 0 0 1 257.983 14.94 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -392.666 -401.107 cm BT /F186 8.9664 Tf 392.666 401.107 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (4) ] TJ ET 1 0 0 1 392.666 401.107 cm Q 1 0 0 1 -257.983 -14.94 cm Q Q q q 1 0 0 1 324.006 14.94 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -458.689 -401.107 cm BT /F186 8.9664 Tf 458.689 401.107 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (5) ] TJ ET 1 0 0 1 458.689 401.107 cm Q 1 0 0 1 -324.006 -14.94 cm Q Q q q 1 0 0 1 390.029 14.94 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -524.712 -401.107 cm BT /F186 8.9664 Tf 524.712 401.107 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (6) ] TJ ET 1 0 0 1 524.712 401.107 cm Q 1 0 0 1 -390.029 -14.94 cm Q Q q q 1 0 0 1 205.321 22.859 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -340.004 -409.026 cm BT /F186 8.9664 Tf 340.004 409.026 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (3) ] TJ ET 1 0 0 1 340.004 409.026 cm Q 1 0 0 1 -205.321 -22.859 cm Q Q q q 1 0 0 1 205.321 49.532 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -340.004 -435.699 cm BT /F186 8.9664 Tf 340.004 435.699 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.255 Td [ (6) ] TJ ET 1 0 0 1 340.004 435.699 cm Q 1 0 0 1 -205.321 -49.532 cm Q Q q q 1 0 0 1 205.321 76.206 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -340.004 -462.373 cm BT /F186 8.9664 Tf 340.004 462.373 Td [ (10) ] TJ /F186 7.2727 Tf 8.339 3.254 Td [ (9) ] TJ ET 1 0 0 1 340.004 462.373 cm Q 1 0 0 1 -205.321 -76.206 cm Q Q 220.73035 25.85854 m 416.14752 25.85854 l 416.14752 94.41339 l 220.73035 94.41339 l h W n q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.5 0.5 0.87451 RG 0.5 0.5 0.87451 rg 237.0156 43.77487 m 243.80078 44.5073 l 250.58597 45.23903 l 257.37115 45.97028 l 264.15633 46.70294 l 270.94153 47.4348 l 277.72672 48.16646 l 284.5119 48.89844 l 291.29709 49.6298 l 298.08229 50.36217 l 304.86746 51.0942 l 311.65265 51.8258 l 318.43784 52.55794 l 325.22304 53.28996 l 332.00822 54.02199 l 338.79341 54.75372 l 345.5786 55.48532 l 352.36377 56.21745 l 359.14897 56.94937 l 365.93416 57.68068 l 372.71935 58.41266 l 379.50453 59.14502 l 386.28973 59.87674 l 393.0749 60.60872 l 399.86009 61.34027 l S Q q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.77646 0.5 0.87451 RG 0.77646 0.5 0.87451 rg 237.0156 51.9143 m 243.80078 52.63966 l 250.58597 53.3645 l 257.37115 54.0888 l 264.15633 54.81416 l 270.94153 55.53864 l 277.72672 56.26343 l 284.5119 56.98837 l 291.29709 57.71303 l 298.08229 58.43756 l 304.86746 59.1627 l 311.65265 59.8874 l 318.43784 60.61208 l 325.22304 61.3369 l 332.00822 62.06186 l 338.79341 62.78668 l 345.5786 63.51111 l 352.36377 64.23605 l 359.14897 64.96089 l 365.93416 65.68536 l 372.71935 66.41032 l 379.50453 67.13503 l 386.28973 67.85982 l 393.0749 68.58499 l 399.86009 69.30972 l S Q q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.87451 0.70786 0.5 RG 0.87451 0.70786 0.5 rg 237.0156 52.73206 m 243.80078 53.60341 l 250.58597 54.47408 l 257.37115 55.34439 l 264.15633 56.21634 l 270.94153 57.08711 l 277.72672 57.95767 l 284.5119 58.82904 l 291.29709 59.69986 l 298.08229 60.5704 l 304.86746 61.44179 l 311.65265 62.31285 l 318.43784 63.18375 l 325.22304 64.05435 l 332.00822 64.9256 l 338.79341 65.79643 l 345.5786 66.66698 l 352.36377 67.53758 l 359.14897 68.40918 l 365.93416 69.27937 l 372.71935 70.15039 l 379.50453 71.02199 l 386.28973 71.89276 l 393.0749 72.76384 l 399.86009 73.63467 l S Q q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.70786 0.87451 0.5 RG 0.70786 0.87451 0.5 rg 237.0156 45.3498 m 243.80078 47.15686 l 250.58597 48.96252 l 257.37115 50.76767 l 264.15633 52.5761 l 270.94153 54.38193 l 277.72672 56.18758 l 284.5119 57.99402 l 291.29709 59.80034 l 298.08229 61.60616 l 304.86746 63.41301 l 311.65265 65.21921 l 318.43784 67.02527 l 325.22304 68.8314 l 332.00822 70.63794 l 338.79341 72.44414 l 345.5786 74.24986 l 352.36377 76.05605 l 359.14897 77.8626 l 365.93416 79.66797 l 372.71935 81.47514 l 379.50453 83.2814 l 386.28973 85.08678 l 393.0749 86.8939 l 399.86009 88.70021 l S Q q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.5 0.71371 0.87451 RG 0.5 0.71371 0.87451 rg 237.0156 33.93423 m 243.80078 34.62943 l 250.58597 35.32445 l 257.37115 36.01875 l 264.15633 36.71455 l 270.94153 37.40898 l 277.72672 38.10341 l 284.5119 38.79889 l 291.29709 39.49362 l 298.08229 40.18823 l 304.86746 40.88278 l 311.65265 41.57838 l 318.43784 42.27304 l 325.22304 42.96771 l 332.00822 43.66286 l 338.79341 44.3577 l 345.5786 45.05249 l 352.36377 45.74731 l 359.14897 46.44182 l 365.93416 47.13684 l 372.71935 47.83186 l 379.50453 48.52664 l 386.28973 49.22102 l 393.0749 49.91644 l 399.86009 50.61147 l S Q q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.87451 0.5 0.5 RG 0.87451 0.5 0.5 rg 237.0156 32.70888 m 243.80078 33.39375 l 250.58597 34.07822 l 257.37115 34.76253 l 264.15633 35.44806 l 270.94153 36.13264 l 277.72672 36.81702 l 284.5119 37.50177 l 291.29709 38.18553 l 298.08229 38.87108 l 304.86746 39.55585 l 311.65265 40.24019 l 318.43784 40.92519 l 325.22304 41.60985 l 332.00822 42.29439 l 338.79341 42.97891 l 345.5786 43.66368 l 352.36377 44.34839 l 359.14897 45.03316 l 365.93416 45.71751 l 372.71935 46.4021 l 379.50453 47.0864 l 386.28973 47.77147 l 393.0749 48.45618 l 399.86009 49.14099 l S Q q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.5 0.81961 0.87451 RG 0.5 0.81961 0.87451 rg 237.0156 43.37962 m 243.80078 44.15955 l 250.58597 44.93887 l 257.37115 45.71776 l 264.15633 46.49774 l 270.94153 47.27701 l 277.72672 48.05605 l 284.5119 48.8355 l 291.29709 49.61453 l 298.08229 50.39417 l 304.86746 51.17374 l 311.65265 51.95279 l 318.43784 52.7323 l 325.22304 53.51169 l 332.00822 54.2912 l 338.79341 55.0703 l 345.5786 55.84921 l 352.36377 56.62901 l 359.14897 57.40813 l 365.93416 58.18692 l 372.71935 58.96696 l 379.50453 59.74629 l 386.28973 60.52522 l 393.0749 61.30443 l 399.86009 62.08429 l S Q q [ 0.79701 0.99628 ] 0 d 0.79701 w 0.87451 0.5 0.73726 RG 0.87451 0.5 0.73726 rg 237.0156 35.10574 m 243.80078 35.88707 l 250.58597 36.66782 l 257.37115 37.44792 l 264.15633 38.22926 l 270.94153 39.01071 l 277.72672 39.79129 l 284.5119 40.57216 l 291.29709 41.35326 l 298.08229 42.13388 l 304.86746 42.91493 l 311.65265 43.69597 l 318.43784 44.47708 l 325.22304 45.25775 l 332.00822 46.03862 l 338.79341 46.81897 l 345.5786 47.60025 l 352.36377 48.38116 l 359.14897 49.1621 l 365.93416 49.94266 l 372.71935 50.72395 l 379.50453 51.50468 l 386.28973 52.28485 l 393.0749 53.06667 l 399.86009 53.84766 l S Q Q q 0 0 0.74902 RG 0 0 0.74902 rg 0 0 0.74902 RG 0 0 0.74902 rg 239.00815 44.54224 m 239.00815 45.6427 238.11606 46.53479 237.0156 46.53479 c 235.91512 46.53479 235.02304 45.6427 235.02304 44.54224 c 235.02304 43.44176 235.91512 42.54968 237.0156 42.54968 c 238.11606 42.54968 239.00815 43.44176 239.00815 44.54224 c h 237.0156 44.54224 m B 244.90428 44.92674 m 244.90428 46.02722 244.01219 46.9193 242.91173 46.9193 c 241.81125 46.9193 240.91917 46.02722 240.91917 44.92674 c 240.91917 43.82628 241.81125 42.93419 242.91173 42.93419 c 244.01219 42.93419 244.90428 43.82628 244.90428 44.92674 c h 242.91173 44.92674 m B 266.96838 46.63425 m 266.96838 47.73473 266.0763 48.6268 264.97583 48.6268 c 263.87535 48.6268 262.98328 47.73473 262.98328 46.63425 c 262.98328 45.53378 263.87535 44.6417 264.97583 44.6417 c 266.0763 44.6417 266.96838 45.53378 266.96838 46.63425 c h 264.97583 46.63425 m B 308.59264 50.48203 m 308.59264 51.58249 307.70055 52.47458 306.60008 52.47458 c 305.4996 52.47458 304.60753 51.58249 304.60753 50.48203 c 304.60753 49.38155 305.4996 48.48947 306.60008 48.48947 c 307.70055 48.48947 308.59264 49.38155 308.59264 50.48203 c h 306.60008 50.48203 m B 313.26149 51.00912 m 313.26149 52.10959 312.36942 53.00168 311.26894 53.00168 c 310.16847 53.00168 309.27638 52.10959 309.27638 51.00912 c 309.27638 49.90865 310.16847 49.01657 311.26894 49.01657 c 312.36942 49.01657 313.26149 49.90865 313.26149 51.00912 c h 311.26894 51.00912 m B 325.199 52.56714 m 325.199 53.66762 324.30693 54.5597 323.20645 54.5597 c 322.10599 54.5597 321.2139 53.66762 321.2139 52.56714 c 321.2139 51.46667 322.10599 50.57458 323.20645 50.57458 c 324.30693 50.57458 325.199 51.46667 325.199 52.56714 c h 323.20645 52.56714 m B 325.89687 53.11945 m 325.89687 54.21991 325.00479 55.112 323.90431 55.112 c 322.80385 55.112 321.91176 54.21991 321.91176 53.11945 c 321.91176 52.01897 322.80385 51.12689 323.90431 51.12689 c 325.00479 51.12689 325.89687 52.01897 325.89687 53.11945 c h 323.90431 53.11945 m B 401.85483 62.32869 m 401.85483 63.42917 400.96275 64.32124 399.86227 64.32124 c 398.76181 64.32124 397.86972 63.42917 397.86972 62.32869 c 397.86972 61.22823 398.76181 60.33614 399.86227 60.33614 c 400.96275 60.33614 401.85483 61.22823 401.85483 62.32869 c h 399.86227 62.32869 m B S Q q 0.55293 0 0.74902 RG 0.55293 0 0.74902 rg 0.55293 0 0.74902 RG 0.55293 0 0.74902 rg 237.0156 52.44788 m 238.91063 51.07108 l 238.18678 48.8433 l 235.84439 48.8433 l 235.12054 51.07108 l h B 242.91173 55.83789 m 244.80676 54.46107 l 244.08292 52.23332 l 241.74052 52.23332 l 241.01668 54.46107 l h B 264.97583 59.06377 m 266.87088 57.68695 l 266.14702 55.4592 l 263.80464 55.4592 l 263.08078 57.68695 l h B 306.60008 59.43372 m 308.49512 58.05692 l 307.77127 55.82915 l 305.42888 55.82915 l 304.70503 58.05692 l h B 311.26894 56.69476 m 313.16399 55.31795 l 312.44012 53.0902 l 310.09775 53.0902 l 309.37389 55.31795 l h B 323.20645 64.35332 m 325.1015 62.9765 l 324.37766 60.74873 l 322.03526 60.74873 l 321.31142 62.9765 l h B 323.90431 66.8746 m 325.79936 65.49779 l 325.07552 63.27003 l 322.73312 63.27003 l 322.00928 65.49779 l h B 399.86227 71.42204 m 401.75732 70.04524 l 401.03348 67.81747 l 398.69109 67.81747 l 397.96724 70.04524 l h B S Q q 0.74902 0.4157 0 RG 0.74902 0.4157 0 rg 0.74902 0.4157 0 RG 0.74902 0.4157 0 rg 239.00815 50.92332 m 239.00815 52.02379 238.11606 52.91588 237.0156 52.91588 c 235.91512 52.91588 235.02304 52.02379 235.02304 50.92332 c 235.02304 49.82285 235.91512 48.93077 237.0156 48.93077 c 238.11606 48.93077 239.00815 49.82285 239.00815 50.92332 c h 237.0156 50.92332 m 235.02304 50.92332 m 239.00815 50.92332 l 237.0156 52.91588 m 237.0156 48.93077 l B 244.90428 53.64 m 244.90428 54.74048 244.01219 55.63255 242.91173 55.63255 c 241.81125 55.63255 240.91917 54.74048 240.91917 53.64 c 240.91917 52.53954 241.81125 51.64745 242.91173 51.64745 c 244.01219 51.64745 244.90428 52.53954 244.90428 53.64 c h 242.91173 53.64 m 240.91917 53.64 m 244.90428 53.64 l 242.91173 55.63255 m 242.91173 51.64745 l B 266.96838 58.90756 m 266.96838 60.00804 266.0763 60.90012 264.97583 60.90012 c 263.87535 60.90012 262.98328 60.00804 262.98328 58.90756 c 262.98328 57.8071 263.87535 56.91501 264.97583 56.91501 c 266.0763 56.91501 266.96838 57.8071 266.96838 58.90756 c h 264.97583 58.90756 m 262.98328 58.90756 m 266.96838 58.90756 l 264.97583 60.90012 m 264.97583 56.91501 l B 308.59264 62.62083 m 308.59264 63.7213 307.70055 64.61339 306.60008 64.61339 c 305.4996 64.61339 304.60753 63.7213 304.60753 62.62083 c 304.60753 61.52036 305.4996 60.62828 306.60008 60.62828 c 307.70055 60.62828 308.59264 61.52036 308.59264 62.62083 c h 306.60008 62.62083 m 304.60753 62.62083 m 308.59264 62.62083 l 306.60008 64.61339 m 306.60008 60.62828 l B 313.26149 60.3825 m 313.26149 61.48299 312.36942 62.37506 311.26894 62.37506 c 310.16847 62.37506 309.27638 61.48299 309.27638 60.3825 c 309.27638 59.28204 310.16847 58.38995 311.26894 58.38995 c 312.36942 58.38995 313.26149 59.28204 313.26149 60.3825 c h 311.26894 60.3825 m 309.27638 60.3825 m 313.26149 60.3825 l 311.26894 62.37506 m 311.26894 58.38995 l B S Q q 0.4157 0.74902 0 RG 0.4157 0.74902 0 rg 0.4157 0.74902 0 RG 0.4157 0.74902 0 rg 235.02304 45.67899 3.9851 3.9851 re B 240.91917 42.11903 3.9851 3.9851 re B 262.98328 51.22925 3.9851 3.9851 re B 304.60753 61.91408 3.9851 3.9851 re B 309.27638 63.15799 3.9851 3.9851 re B S Q q 0 0.42744 0.74902 RG 0 0.42744 0.74902 rg 0 0.42744 0.74902 RG 0 0.42744 0.74902 rg 237.0156 36.66016 m 238.7412 33.67133 l 235.28998 33.67133 l h B 242.91173 37.0545 m 244.63733 34.06567 l 241.18611 34.06567 l h B 264.97583 38.68477 m 266.70143 35.69594 l 263.25021 35.69594 l h B 306.60008 41.71638 m 308.32568 38.72755 l 304.87447 38.72755 l h B 311.26894 42.1941 m 312.99454 39.20528 l 309.54333 39.20528 l h B 323.20645 44.18854 m 324.93207 41.1997 l 321.48085 41.1997 l h B 323.90431 46.13937 m 325.62993 43.15054 l 322.17871 43.15054 l h B 399.86227 53.38435 m 401.58789 50.39552 l 398.13667 50.39552 l h B S Q q 0.74902 0 0 RG 0.74902 0 0 rg 0.74902 0 0 RG 0.74902 0 0 rg 237.0156 31.24641 m 237.0156 35.23152 l 238.7412 34.23524 m 235.28998 32.24269 l 238.7412 32.24269 m 235.28998 34.23524 l S 242.91173 29.57916 m 242.91173 33.56427 l 244.63733 32.568 m 241.18611 30.57544 l 244.63733 30.57544 m 241.18611 32.568 l S 264.97583 34.96144 m 264.97583 38.94655 l 266.70143 37.95027 m 263.25021 35.95772 l 266.70143 35.95772 m 263.25021 37.95027 l S 306.60008 34.7637 m 306.60008 38.74881 l 308.32568 37.75253 m 304.87447 35.75998 l 308.32568 35.75998 m 304.87447 37.75253 l S 311.26894 34.97765 m 311.26894 38.96275 l 312.99454 37.96648 m 309.54333 35.97392 l 312.99454 35.97392 m 309.54333 37.96648 l S 323.20645 40.19218 m 323.20645 44.17729 l 324.93207 43.18102 m 321.48085 41.18846 l 324.93207 41.18846 m 321.48085 43.18102 l S 323.90431 46.04121 m 323.90431 50.02632 l 325.62993 49.03004 m 322.17871 47.03749 l 325.62993 47.03749 m 322.17871 49.03004 l S 399.86227 45.80241 m 399.86227 49.78752 l 401.58789 48.79124 m 398.13667 46.79869 l 401.58789 46.79869 m 398.13667 48.79124 l S S Q q 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg 237.0156 45.5609 m 238.51001 43.56834 l 237.0156 41.57579 l 235.52118 43.56834 l h B 242.91173 46.35498 m 244.40614 44.36243 l 242.91173 42.36987 l 241.41731 44.36243 l h B 264.97583 48.88145 m 266.47025 46.8889 l 264.97583 44.89635 l 263.48141 46.8889 l h B 306.60008 52.41476 m 308.0945 50.42221 l 306.60008 48.42966 l 305.10567 50.42221 l h B 311.26894 52.87364 m 312.76335 50.88109 l 311.26894 48.88853 l 309.77452 50.88109 l h B 323.20645 55.17299 m 324.70087 53.18044 l 323.20645 51.18788 l 321.71204 53.18044 l h B 323.90431 56.26442 m 325.39873 54.27187 l 323.90431 52.27931 l 322.4099 54.27187 l h B 399.86227 64.45807 m 401.35669 62.46552 l 399.86227 60.47296 l 398.36786 62.46552 l h B S Q q 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg 237.0156 33.6831 m 237.0156 37.66821 l 235.12054 35.05992 m 238.91063 36.2914 l 235.84439 37.28767 m 238.18678 34.06364 l 238.18678 37.28767 m 235.84439 34.06364 l 238.91063 35.05992 m 235.12054 36.2914 l S 242.91173 34.17421 m 242.91173 38.15932 l 241.01668 35.55103 m 244.80676 36.7825 l 241.74052 37.77878 m 244.08292 34.55475 l 244.08292 37.77878 m 241.74052 34.55475 l 244.80676 35.55103 m 241.01668 36.7825 l S 264.97583 36.21054 m 264.97583 40.19565 l 263.08078 37.58736 m 266.87088 38.81883 l 263.80464 39.81511 m 266.14702 36.59108 l 266.14702 39.81511 m 263.80464 36.59108 l 266.87088 37.58736 m 263.08078 38.81883 l S 306.60008 40.23123 m 306.60008 44.21634 l 304.70503 41.60805 m 308.49512 42.83954 l 305.42888 43.83582 m 307.77127 40.61177 l 307.77127 43.83582 m 305.42888 40.61177 l 308.49512 41.60805 m 304.70503 42.83954 l S 311.26894 40.80371 m 311.26894 44.78882 l 309.37389 42.18053 m 313.16399 43.412 l 310.09775 44.40828 m 312.44012 41.18425 l 312.44012 44.40828 m 310.09775 41.18425 l 313.16399 42.18053 m 309.37389 43.412 l S 323.20645 42.62204 m 323.20645 46.60715 l 321.31142 43.99886 m 325.1015 45.23033 l 322.03526 46.22661 m 324.37766 43.00258 l 324.37766 46.22661 m 322.03526 43.00258 l 325.1015 43.99886 m 321.31142 45.23033 l S 323.90431 43.83043 m 323.90431 47.81554 l 322.00928 45.20724 m 325.79936 46.43872 l 322.73312 47.435 m 325.07552 44.21097 l 325.07552 47.435 m 322.73312 44.21097 l 325.79936 45.20724 m 322.00928 46.43872 l S 399.86227 52.46956 m 399.86227 56.45467 l 397.96724 53.84637 m 401.75732 55.07785 l 398.69109 56.07413 m 401.03348 52.8501 l 401.03348 56.07413 m 398.69109 52.8501 l 401.75732 53.84637 m 397.96724 55.07785 l S S Q q q 1 0 0 1 280.108 2.317 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -414.791 -388.484 cm BT /F147 8.9664 Tf 414.791 388.484 Td [ (Numb) -10 (er) -250 (of) -250 (no) -7 (des) ] TJ /F265 8.9664 Tf 65.831 0 Td [ (j) ] TJ /F194 8.9664 Tf 1.569 0 Td [ (V) ] TJ /F265 8.9664 Tf 7.101 0 Td [ (j) ] TJ ET 1 0 0 1 414.791 388.484 cm Q 1 0 0 1 -280.108 -2.317 cm Q Q q q 1 0 0 1 197.078 37.191 cm 0 1 -1 0 0 0 cm q 0 G 0 g 1 0 0 1 -331.761 -423.358 cm BT /F147 8.9664 Tf 331.761 423.358 Td [ (Memor) -15 (y) 59 (\054) -250 (KB) ] TJ ET 1 0 0 1 331.761 423.358 cm Q 1 0 0 1 -197.078 -37.191 cm Q Q q 1 g 0 G q 1 g 0 G 228.95578 96.32608 178.96632 26.2881 re B Q q 1 0 0 1 231.942 103.863 cm 1 0 0 1 0 0 cm q 1 0 0 1 -6.512 11.152 cm q 0 g q 0 0 0.74902 RG 0 0 0.74902 rg S q 10.49667 0 m 10.49667 1.10046 9.60458 1.99255 8.50412 1.99255 c 7.40364 1.99255 6.51157 1.10046 6.51157 0 c 6.51157 -1.10046 7.40364 -1.99255 8.50412 -1.99255 c 9.60458 -1.99255 10.49667 -1.10046 10.49667 0 c h 8.50412 0 m B Q Q Q 1 0 0 1 10.297 0 cm q q q 1 0 0 1 2.192 -2.208 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -372.602 -498.974 cm BT /F164 8.9664 Tf 372.602 498.974 Td [ (FREDE) ] TJ ET 1 0 0 1 372.602 498.974 cm Q 1 0 0 1 -2.192 2.208 cm Q Q Q 1 0 0 1 23.462 0 cm q 0 g q 0.55293 0 0.74902 RG 0.55293 0 0.74902 rg S q 8.50412 1.99255 m 10.39917 0.61574 l 9.67531 -1.61201 l 7.33293 -1.61201 l 6.60907 0.61574 l h B Q Q Q 1 0 0 1 10.199 0 cm q q q 1 0 0 1 2.192 -2.208 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -406.263 -498.974 cm BT /F164 8.9664 Tf 406.263 498.974 Td [ (STRAP) ] TJ ET 1 0 0 1 406.263 498.974 cm Q 1 0 0 1 -2.192 2.208 cm Q Q Q 1 0 0 1 41.339 0 cm q 0 g q 0.74902 0.4157 0 RG 0.74902 0.4157 0 rg S q 10.49667 0 m 10.49667 1.10046 9.60458 1.99255 8.50412 1.99255 c 7.40364 1.99255 6.51157 1.10046 6.51157 0 c 6.51157 -1.10046 7.40364 -1.99255 8.50412 -1.99255 c 9.60458 -1.99255 10.49667 -1.10046 10.49667 0 c h 8.50412 0 m 6.51157 0 m 10.49667 0 l 8.50412 1.99255 m 8.50412 -1.99255 l B Q Q Q 1 0 0 1 10.298 0 cm q q q 1 0 0 1 2.192 -2.208 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -457.9 -498.974 cm BT /F164 8.9664 Tf 457.9 498.974 Td [ (NetSMF) ] TJ ET 1 0 0 1 457.9 498.974 cm Q 1 0 0 1 -2.192 2.208 cm Q Q Q 1 0 0 1 29.18 0 cm q 0 g q 0.4157 0.74902 0 RG 0.4157 0.74902 0 rg S q 6.51157 -1.99255 3.9851 3.9851 re B Q Q Q 1 0 0 1 10.298 0 cm q q q 1 0 0 1 2.191 -2.269 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -497.377 -498.913 cm BT /F147 8.9664 Tf 497.377 498.913 Td [ (SVD) ] TJ ET 1 0 0 1 497.377 498.913 cm Q 1 0 0 1 -2.191 2.269 cm Q Q Q 1 0 0 1 -135.073 -11.152 cm q 0 g q 0 0.42744 0.74902 RG 0 0.42744 0.74902 rg S q 8.50412 1.99255 m 10.22972 -0.99628 l 6.7785 -0.99628 l h B Q Q Q 1 0 0 1 10.297 0 cm q q q 1 0 0 1 2.192 -2.208 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -372.602 -487.822 cm BT /F164 8.9664 Tf 372.602 487.822 Td [ (VERSE) ] TJ ET 1 0 0 1 372.602 487.822 cm Q 1 0 0 1 -2.192 2.208 cm Q Q Q 1 0 0 1 23.462 0 cm q 0 g q 0.74902 0 0 RG 0.74902 0 0 rg S q 8.50412 -1.99255 m 8.50412 1.99255 l 10.22972 0.99628 m 6.7785 -0.99628 l 10.22972 -0.99628 m 6.7785 0.99628 l S Q Q Q 1 0 0 1 10.199 0 cm q q q 1 0 0 1 2.192 -2.208 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -406.263 -487.822 cm BT /F164 8.9664 Tf 406.263 487.822 Td [ (Louv) 70 (ainNE) ] TJ ET 1 0 0 1 406.263 487.822 cm Q 1 0 0 1 -2.192 2.208 cm Q Q Q 1 0 0 1 41.339 0 cm q 0 g q 0 0.63922 0.74902 RG 0 0.63922 0.74902 rg S q 8.50412 1.99255 m 9.99854 0 l 8.50412 -1.99255 l 7.0097 0 l h B Q Q Q 1 0 0 1 10.298 0 cm q q q 1 0 0 1 2.192 -2.208 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -457.9 -487.822 cm BT /F164 8.9664 Tf 457.9 487.822 Td [ (ProNE) ] TJ ET 1 0 0 1 457.9 487.822 cm Q 1 0 0 1 -2.192 2.208 cm Q Q Q 1 0 0 1 29.18 0 cm q 0 g q 0.74902 0 0.47452 RG 0.74902 0 0.47452 rg S q 8.50412 -1.99255 m 8.50412 1.99255 l 6.60907 -0.61574 m 10.39917 0.61574 l 7.33293 1.61201 m 9.67531 -1.61201 l 9.67531 1.61201 m 7.33293 -1.61201 l 10.39917 -0.61574 m 6.60907 0.61574 l S Q Q Q 1 0 0 1 10.298 0 cm q q q 1 0 0 1 2.191 -2.208 cm 1 0 0 1 0 0 cm q 0 G 0 g 1 0 0 1 -497.377 -487.822 cm BT /F164 8.9664 Tf 497.377 487.822 Td [ (DeepW) 120 (alk) ] TJ ET 1 0 0 1 497.377 487.822 cm Q 1 0 0 1 -2.191 2.208 cm Q Q Q 1 0 0 1 -128.561 0 cm Q 1 0 0 1 -231.942 -103.863 cm Q Q Q n Q 1 0 0 1 188.208 -2.434 cm Q 1 0 0 1 10.104 28.293 cm Q q Q q Q Q n Q 0 g 0 G 1 0 0 1 -332.995 -412.026 cm BT /F151 8.9664 Tf 317.955 369.776 Td [ (Figur) 8 (e) -257 (6\072) -258 (Memor) -15 (y) -257 (consumption) -257 (p) -7 (er) -258 (datasets) -257 (and) -257 (r) 8 (egr) 8 (ession) ] TJ 0 -10.959 Td [ (lines\073) -213 (SVD) -213 (and) -213 (NetSMF) -213 (could) -213 (not) -213 (\033t) ] TJ /F199 8.9664 Tf 144.327 0 Td [ (Y) 60 (ouTube) ] TJ /F151 8.9664 Tf 39.747 0 Td [ (in) -213 (64Gb) -213 (RAM\056) ] TJ 0 g 0 G 0 g 0 G /F151 10.9091 Tf -184.074 -17.502 Td [ (4\0569) -1000 (Memor) -15 (y) -250 (consumption) ] TJ /F147 8.9664 Tf 1.002 0 0 1 317.955 327.616 Tm [ (Lastly) 59 (\054) -250 (Figur) 8 (e) -250 (6) -250 (sho) 7 (ws) -250 (the) -250 (memor) -15 (y) -250 (consumption) -250 (for) -250 (each) -250 (metho) -7 (d) ] TJ 1.012 0 0 1 317.955 316.657 Tm [ (and) -247 (dataset\054) -247 (with) -247 (linear) -247 (r) 8 (egr) 8 (ession) -247 (on) -247 (data) -247 (sizes\056) -247 (All) -247 (metho) -7 (ds) -247 (bar) ] TJ 1.019 0 0 1 317.955 305.698 Tm [ (SVD) -245 (and) ] TJ /F164 8.9664 Tf 1.019 0 0 1 352.977 305.698 Tm [ (NetSMF) ] TJ /F147 8.9664 Tf 1.019 0 0 1 387.322 305.698 Tm [ (emb) -10 (e) -7 (d) -245 (the) -245 (largest) ] TJ /F164 8.9664 Tf 1.019 0 0 1 455.68 305.698 Tm [ (Y) 59 (ouTube) ] TJ /F147 8.9664 Tf 1.019 0 0 1 492.749 305.698 Tm [ (graph) -245 (\050) ] TJ /F186 8.9664 Tf 1.019 0 0 1 519.511 305.698 Tm [ (10) ] TJ /F186 7.2727 Tf 1 0 0 1 528.008 308.953 Tm [ (6) ] TJ /F147 8.9664 Tf 1.019 0 0 1 534.127 305.698 Tm [ (no) -7 (des\051) ] TJ 1.018 0 0 1 317.955 294.739 Tm [ (on) -245 (a) -245 (64Gb) -244 (RAM) -245 (commo) -7 (dity) -245 (machine) 10 (\056) ] TJ /F164 8.9664 Tf 1.018 0 0 1 459.57 294.739 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 1.018 0 0 1 488.156 294.739 Tm [ (consumes) -245 (memor) -14 (y) ] TJ 1.02 0 0 1 317.955 283.78 Tm [ (comparable) -277 (to) -277 (that) -276 (of) -277 (neural) -277 (metho) -7 (ds) -276 (and) -277 (ne) 7 (v) 7 (er) -276 (e) 7 (xce) -7 (e) -7 (ds) -277 (that) -277 (of) ] TJ 1 0 0 1 317.955 272.822 Tm [ (other) -250 (factorization\055base) -7 (d) -250 (emb) -10 (e) -7 (ddings\056) ] TJ /F151 10.9091 Tf 0 -21.046 Td [ (5) -1000 (CONCLUSION) ] TJ /F147 8.9664 Tf 1.01 0 0 1 317.955 238.077 Tm [ (Since) -249 (graph) -248 (emb) -10 (e) -7 (ddings) -249 (implicitly) -248 (aim) -249 (to) -249 (pr) 8 (eser) -15 (v) 8 (e) -249 (sim) 1 (ilarity) -249 (ma\055) ] TJ 0.991 0 0 1 317.955 227.118 Tm [ (trix) -254 (co) 7 (variance) 10 (\054) -254 (r) 8 (o) 7 (w\055wise) -254 (sketching) -254 (te) -7 (chniques) -254 (ar) 8 (e) -254 (suite) -7 (d) -254 (ther) 8 (efor) 59 (\056) ] TJ 1.02 0 0 1 317.525 216.159 Tm [ (W) 78 (e) -266 (applie) -7 (d) -266 (a) -267 (state\055of\055the\055art) -266 (sketcher) 58 (\054) -267 (Fr) 8 (e) -7 (quent) -266 (Dir) 8 (e) -7 (ctions\054) -266 (on) -267 (a) ] TJ 0.983 0 0 1 317.955 205.2 Tm [ (matrix\055factorization) -254 (interpr) 8 (etation) -254 (of) -253 (a) -254 (state\055of\055the\055art) -254 (emb) -10 (e) -7 (dding\054) ] TJ /F164 8.9664 Tf 0.98 0 0 1 317.659 194.242 Tm [ (VERSE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 342.597 194.242 Tm [ (\054) -217 (to) -216 (craft) ] TJ /F164 8.9664 Tf 0.98 0 0 1 373.994 194.242 Tm [ (FREDE) ] TJ /F147 8.9664 Tf 0.98 0 0 1 399.363 194.242 Tm [ (\072) -217 (a) -216 (linear\055space) -217 (graph) -217 (emb) -10 (e) -7 (dding) -217 (that) -217 (allo) 8 (ws) ] TJ 1.02 0 0 1 317.955 183.283 Tm [ (for) -264 (scalable) -264 (data) -263 (science) -264 (op) -7 (erations) -264 (on) -263 (graph) -264 (data\054) -264 (as) -264 (w) 8 (ell) -264 (as) -263 (for) ] TJ 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(e) -7 (quent) -249 (Dir) 8 (e) -7 (ctions) -250 (for) -249 (Sketching) -250 (Dense) ] TJ 15.436 -7.97 Td [ (and) -250 (Sparse) -250 (Matrices\056) -250 (In) ] TJ /F156 6.9738 Tf 68.023 0 Td [ (ICML) ] TJ /F147 6.9738 Tf 15.475 0 Td [ (\056) -250 <3230343815323035372e> ] TJ 0 g 0 G -98.934 -7.97 Td [ (\13315\135) ] TJ 0 g 0 G 0.98 0 0 1 69.234 432.598 Tm [ (John) -256 (A\056) -256 (Le) -7 (e) -255 (and) -256 (Michel) -256 (V) 82 (erle) 7 (ysen\056) -256 (2007\056) ] TJ /F156 6.9738 Tf 0.98 0 0 1 183.596 432.598 Tm [ (Nonlinear) -256 (Dimensionality) -255 (Re) -8 (duction) ] TJ /F147 6.9738 Tf 0.98 0 0 1 284.005 432.598 Tm [ (\0501st) ] TJ 1 0 0 1 69.234 424.628 Tm [ (e) -7 (d\056\051\056) -360 (Springer) -250 (Publishing) -250 (Company) 59 (\054) -250 (Incorp) -7 (orate) -7 (d\056) ] TJ 0 g 0 G -15.436 -7.97 Td [ (\13316\135) ] TJ 0 g 0 G 0.98 0 0 1 69.234 416.658 Tm [ (Omer) -235 (Le) 8 (v) -16 (y) -234 (and) -235 (Y) 73 (oav) -235 (Goldb) -10 (erg\056) -235 (2014\056) -329 (Neural) -235 (W) 82 (or) 8 (d) -235 (Emb) -10 (e) -7 (dding) -235 (as) -234 (Implicit) -235 (Matrix) ] TJ 1 0 0 1 69.234 408.687 Tm [ (Factorization\056) -250 (In) ] TJ /F156 6.9738 Tf 48.162 0 Td [ (NIPS) ] TJ /F147 6.9738 Tf 13.243 0 Td [ (\056) ] TJ 0 g 0 G -76.841 -7.97 Td [ (\13317\135) ] TJ 0 g 0 G 0.999 0 0 1 69.234 400.717 Tm [ (Ping) -250 (Li\054) -249 (T) 20 (r) 8 (e) 7 (v) 8 (or) -249 (J\056) -250 (Hastie) 10 (\054) -249 (and) -250 (K) 20 (enneth) -249 (W) 60 (ar) 8 (d) -250 (Chur) 8 (ch\056) -249 (2006\056) -359 (V) 80 (er) -15 (y) -249 (sparse) -250 (random) ] TJ 1 0 0 1 69.234 392.747 Tm [ (pr) 8 (oje) -7 (ctions\056) -250 (In) ] TJ /F156 6.9738 Tf 42.701 0 Td [ (KDD) ] TJ /F147 6.9738 Tf 13.745 0 Td [ (\056) ] TJ 0 g 0 G -71.882 -7.97 Td [ (\13318\135) ] TJ 0 g 0 G [ -571 (Edo) -250 (Lib) -10 (erty) 59 (\056) -250 (2013\056) -360 (Simple) -250 (and) -250 (deterministic) -250 (matrix) -250 (sketch) -1 (ing\056) -250 (In) ] TJ /F156 6.9738 Tf 200.013 0 Td [ (KDD) ] TJ /F147 6.9738 Tf 13.745 0 Td [ (\056) ] TJ 0 g 0 G -213.758 -7.97 Td [ (\13319\135) ] TJ 0 g 0 G 1.02 0 0 1 69.234 376.807 Tm [ (Matt) -489 (Mahone) 7 (y) 58 (\056) -489 (2011\056) -1239 (Large) -489 (te) 7 (xt) -489 (compr) 8 (ession) -488 (b) -10 (enchmark\056) -1240 (http\072\057\057w) -14 (w) -15 (w) 58 (\056) ] TJ 1 0 0 1 69.234 368.837 Tm [ (mattmahone) 7 (y) 59 (\056net\057te) 7 (xt\057te) 7 (xt\056html\056) ] TJ 0 g 0 G -15.436 -7.97 Td [ (\13320\135) ] TJ 0 g 0 G 0.993 0 0 1 69.234 360.867 Tm [ (T) 63 (omas) -251 (Mikolo) 7 (v) 60 (\054) -251 (Ilya) -251 (Sutske) 7 (v) 8 (er) 59 (\054) -251 (K) 15 (ai) -251 (Chen\054) -251 (Gr) 8 (egor) -15 (y) -251 (S\056) -251 (Corrado) 10 (\054) -251 (and) -251 (Je\035r) 8 (e) 7 (y) -251 (Dean\056) ] TJ 0.989 0 0 1 69.234 352.897 Tm [ (2013\056) -362 (Distribute) -7 (d) -252 (Repr) 9 (esentations) -252 (of) -252 (W) 81 (or) 8 (ds) -251 (and) -252 (P) -12 (hrases) -252 (and) -251 (their) -252 (Comp) -7 (osition\055) ] TJ 1 0 0 1 69.234 344.927 Tm [ (ality) 59 (\056) -250 (In) ] TJ /F156 6.9738 Tf 23.174 0 Td [ (NIPS) ] TJ /F147 6.9738 Tf 13.244 0 Td [ (\056) ] TJ 0 g 0 G -51.854 -7.971 Td [ (\13321\135) ] TJ 0 g 0 G 1.02 0 0 1 69.234 336.956 Tm [ (Jayav) 8 (e) -7 (d) -305 (Misra) -306 (and) -305 (David) -306 (Gries\056) -305 (1982\056) -572 (Finding) -306 (r) 8 (ep) -7 (eate) -6 (d) -306 (elements\056) ] TJ /F156 6.9738 Tf 1.02 0 0 1 266.343 336.956 Tm [ (Science) -305 (of) ] TJ 1 0 0 1 69.234 328.986 Tm [ (Computer) -250 (Pr) 8 (ogramming) ] TJ /F147 6.9738 Tf 69.128 0 Td [ (\0501982\051\056) ] TJ 0 g 0 G -84.564 -7.97 Td [ (\13322\135) ] TJ 0 g 0 G 0.986 0 0 1 69.234 321.016 Tm [ (Camer) 8 (on) -254 (Musco) -255 (and) -254 (Christopher) -255 (Musco) 10 (\056) -254 (2015\056) -369 (Randomize) -7 (d) -254 (Blo) -7 (ck) -255 (Kr) -15 (ylo) 7 (v) -255 (Meth\055) ] TJ 1.02 0 0 1 69.234 313.046 Tm [ (o) -7 (ds) -352 (for) -352 (Str) 7 (onger) -352 (and) -352 (Faster) -352 (Appr) 8 (o) 6 (ximate) -352 (Singular) -352 (V) 59 (alue) -352 (De) -7 (comp) -7 (osition\056) -352 (In) ] TJ /F156 6.9738 Tf 1 0 0 1 69.234 305.076 Tm [ (NeurIPS) ] TJ /F147 6.9738 Tf 22.163 0 Td [ (\056) -250 <3133393615313430342e> ] TJ 0 g 0 G -37.599 -7.97 Td [ (\13323\135) ] TJ 0 g 0 G 1.012 0 0 1 69.234 297.106 Tm [ (Mingdong) -247 (Ou\054) -246 (Peng) -247 (Cui\054) -247 (Jian) -247 (Pei\054) -246 (Ziw) 8 (ei) -247 (Zhang\054) -247 (and) -247 (W) 80 (enwu) -247 (Zhu\056) -247 (2016\056) -355 (A) 12 (sym\055) ] TJ 1 0 0 1 69.234 289.136 Tm [ (metric) -250 (T) 20 (ransitivity) -250 (Pr) 8 (eser) -15 (ving) -250 (Graph) -250 (Emb) -10 (e) -7 (dding\056) -250 (In) ] TJ /F156 6.9738 Tf 150.384 0 Td [ (KDD) ] TJ /F147 6.9738 Tf 13.745 0 Td [ (\056) ] TJ 0 g 0 G -179.565 -7.97 Td [ (\13324\135) ] TJ 0 g 0 G 1.014 0 0 1 69.234 281.166 Tm [ (Lawr) 8 (ence) -247 (Page) 10 (\054) -247 (Serge) 7 (y) -246 (Brin\054) -247 (Raje) -7 (e) 7 (v) -247 (Motwani\054) -246 (and) -247 (T) 62 (err) -15 (y) -246 (Winograd\056) -247 (1999\056) -355 (The) ] TJ 1 0 0 1 69.234 273.196 Tm [ (PageRank) -250 (citation) -250 (ranking\072) -250 (bringing) -250 (or) 8 (der) -250 (to) -250 (the) -250 (w) 8 (eb) 20 (\056) -360 (\0501999\051\056) ] TJ 0 g 0 G 248.721 425.155 Td [ (\13325\135) ] TJ 0 g 0 G 0.98 0 0 1 333.391 698.351 Tm [ (Br) -15 (yan) -177 (Per) 8 (ozzi\054) -176 (Rami) -176 (A) -1 (l) 1 (\055) -1 (Rfou\047) 50 (\054) -176 (and) -176 (Ste) 7 (v) 8 (en) -177 (Skiena\056) -176 (2014\056) -222 (De) -8 (ep) 56 (W) 61 (alk\072) -177 (online) -176 (learning) ] TJ 1 0 0 1 333.391 690.381 Tm [ (of) -250 (so) -7 (cial) -250 (r) 8 (epr) 8 (esentations\056) -250 (In) ] TJ /F156 6.9738 Tf 80.269 0 Td [ (KDD) ] TJ /F147 6.9738 Tf 13.745 0 Td [ (\056) ] TJ 0 g 0 G -109.45 -7.97 Td [ (\13326\135) ] TJ 0 g 0 G 0.99 0 0 1 333.391 682.411 Tm [ (Stefan) -254 (Postavaru\054) -255 (Anton) -254 (T) 50 (sitsulin\054) -255 (Filip) -7 (e) -254 (Miguel) -254 (Gonalv) 8 (es) -255 (de) -254 (Almeida\054) -254 (Yingtao) ] TJ 0.981 0 0 1 333.182 674.441 Tm [ (Tian\054) -255 (Silvio) -255 (Lattanzi\054) -255 (and) -255 (Br) -16 (yan) -255 (Per) 8 (ozzi\056) -255 (2020\056) -368 (InstantEmb) -10 (e) -7 (dding\072) -255 (E\034cient) -255 (Lo) -7 (cal) ] TJ 1 0 0 1 333.391 666.471 Tm [ (No) -7 (de) -250 (Repr) 8 (esentations\056) ] TJ /F156 6.9738 Tf 66.475 0 Td [ (CoRR) ] TJ /F147 6.9738 Tf 17.033 0 Td [ (abs\0572010\05606992) -250 (\0502020\051\056) ] TJ 0 g 0 G -98.944 -7.97 Td [ (\13327\135) ] TJ 0 g 0 G 1.02 0 0 1 333.391 658.501 Tm [ (Jiezhong) -293 (Qiu\054) -294 (Y) 39 (uxiao) -294 (Dong\054) -293 (Hao) -293 (Ma\054) -293 (Jian) -294 (Li\054) -293 (Chi) -293 (W) 59 (ang\054) -294 (Kuansan) -293 (W) 59 (ang\054) -293 (and) ] TJ 1.02 0 0 1 333.28 650.53 Tm [ (Jie) -351 (T) 48 (ang\056) -351 (2019\056) -738 (NetSMF\072) -351 (Large\055Scale) -351 (Netw) 8 (ork) -351 (Emb) -10 (e) -7 (dding) -351 (as) -351 (Sparse) -351 (Matrix) ] TJ 1 0 0 1 333.391 642.56 Tm [ (Factorization\056) -250 (In) ] TJ /F156 6.9738 Tf 48.161 0 Td [ (W) -24 (W) -24 (W) ] TJ /F147 6.9738 Tf 19.353 0 Td [ (\056) ] TJ 0 g 0 G -82.95 -7.97 Td [ (\13328\135) ] TJ 0 g 0 G 0.991 0 0 1 333.391 634.59 Tm [ (Jiezhong) -252 (Qiu\054) -253 (Y) 39 (uxiao) -252 (Dong\054) -253 (Hao) -252 (Ma\054) -252 (Jian) -253 (Li\054) -252 (Kuansan) -253 (W) 61 (ang\054) -253 (and) -252 (Jie) -253 (T) 50 (ang\056) -253 (2018\056) ] TJ 1.02 0 0 1 333.391 626.62 Tm [ (Netw) 8 (ork) -260 (Emb) -10 (e) -7 (dding) -259 (as) -260 (Matrix) -260 (Factorization\072) -260 (Unifying) -260 (De) -6 (ep) 53 (W) 58 (alk\054) -259 (LINE\054) -260 (PTE\054) ] TJ 1 0 0 1 333.391 618.65 Tm [ (and) -250 (no) -7 (de2v) 8 (e) -7 (c\056) -250 (In) ] TJ /F156 6.9738 Tf 49.905 0 Td [ (WSDM) ] TJ /F147 6.9738 Tf 19.764 0 Td [ (\056) ] TJ 0 g 0 G -85.105 -7.97 Td [ (\13329\135) ] TJ 0 g 0 G 0.98 0 0 1 333.391 610.68 Tm [ (Le) -7 (onar) 8 (do) -181 (FR) -182 (Rib) -10 (eir) 8 (o) 10 (\054) -181 (Pe) -7 (dr) 8 (o) -181 (HP) -182 (Sav) 8 (er) 9 (ese) 10 (\054) -182 (and) -181 (Daniel) -182 (R) -181 (Figueir) 8 (e) -7 (do) 10 (\056) -181 (2017\056) -232 (struc2v) 8 (e) -7 (c\072) ] TJ 1 0 0 1 333.391 602.71 Tm [ (Learning) -250 (no) -7 (de) -250 (r) 8 (epr) 8 (esentations) -250 (fr) 8 (om) -250 (structural) -250 (identity) 59 (\056) -250 (In) ] TJ /F156 6.9738 Tf 166.396 0 Td [ (KDD) ] TJ /F147 6.9738 Tf 13.745 0 Td [ (\056) -250 <333835153339342e> ] TJ 0 g 0 G -195.577 -7.97 Td [ (\13330\135) ] TJ 0 g 0 G 1.02 0 0 1 333.391 594.74 Tm [ (Ryan) -255 (A) -255 (Rossi\054) -255 (Nesr) 8 (e) -7 (en) -255 (K) -255 (Ahme) -6 (d\054) -255 (Euny) 8 (e) -7 (e) -255 (K) 19 (oh\054) -255 (Sungchul) -254 (Kim\054) -255 (Anup) -255 (Rao) 10 (\054) -255 (and) ] TJ 1.018 0 0 1 333.189 586.77 Tm [ (Y) 59 (asin) -245 (Abbasi\055) 48 (Y) 59 (adkori\056) -244 (2020\056) -352 (A) -245 (structural) -245 (graph) -244 (r) 8 (epr) 7 (esentation) -244 (learning) -245 (frame\055) ] TJ 1 0 0 1 333.133 578.799 Tm [ (w) 8 (ork\056) -250 (In) ] TJ /F156 6.9738 Tf 25.706 0 Td [ (WSDM) ] TJ /F147 6.9738 Tf 19.764 0 Td [ (\056) -250 <343833153439312e> ] TJ 0 g 0 G -60.648 -7.97 Td [ (\13331\135) ] TJ 0 g 0 G 1.02 0 0 1 333.391 570.829 Tm [ (T) 48 (ara) -290 (Safavi\054) -290 (Caleb) -290 (Belth\054) -290 (Lukas) -290 (Fab) -9 (er) 57 (\054) -290 (Davide) -289 (Mottin\054) -290 (Emmanuel) -290 (Mller) 58 (\054) -290 (and) ] TJ 1.013 0 0 1 333.391 562.859 Tm [ (Danai) -245 (K) 19 (outra\056) -245 (2019\056) -353 (Personalize) -7 (d) -245 (Kno) 7 (wle) -7 (dge) -246 (Graph) -245 (Summarization\072) -245 (Fr) 8 (om) -246 (the) ] TJ 1 0 0 1 333.391 554.889 Tm [ (Cloud) -250 (to) -250 (Y) 71 (our) -250 (Po) -7 (cket\056) -250 (In) ] TJ /F156 6.9738 Tf 71.454 0 Td [ (ICDM) ] TJ /F147 6.9738 Tf 16.507 0 Td [ (\056) -250 <353238153533372e> ] TJ 0 g 0 G -103.397 -7.97 Td [ (\13332\135) ] TJ 0 g 0 G 1.005 0 0 1 333.391 546.919 Tm [ (Chris) -248 (Stark\054) -249 (Bobby\055Jo) -7 (e) -248 (Br) 8 (eitkr) 8 (eutz\054) -249 (T) 63 (er) 8 (esa) -249 (Reguly) 59 (\054) -248 (Lorrie) -249 (Boucher) 59 (\054) -249 (A) 12 (shton) -248 (Br) 8 (e\055) ] TJ 1.02 0 0 1 333.391 538.949 Tm [ (itkr) 8 (eutz\054) -267 (and) -267 (Mike) -267 (T) 48 (y) 8 (ers\056) -267 (2006\056) -432 (BioGRID\072) -266 (a) -267 (general) -267 (r) 8 (ep) -7 (ositor) -15 (y) -267 (for) -266 (interaction) ] TJ 1 0 0 1 333.391 530.979 Tm [ (datasets\056) ] TJ /F156 6.9738 Tf 26.912 0 Td [ (Nucleic) -250 (A) 12 (cids) -250 (Resear) 8 (ch) ] TJ /F147 6.9738 Tf 64.735 0 Td [ (\0502006\051\056) ] TJ 0 g 0 G -107.083 -6.562 Td [ (\13333\135) ] TJ 0 g 0 G 1.02 0 0 1 333.391 524.417 Tm [ (Jian) -258 (T) 49 (ang\054) -258 (Meng) -257 (Qu\054) -258 (Mingzhe) -257 (W) 58 (ang\054) -257 (Ming) -258 (Zhang\054) -257 (Jun) -258 (Y) 59 (an\054) -257 (and) -258 (Qiaozhu) -257 (Mei\056) ] TJ 1 0 0 1 333.391 516.447 Tm [ (2015\056) -360 (LINE\072) -250 (Large\055scale) -250 (Information) -250 (Netw) 8 (ork) -250 (Emb) -10 (e) -7 (dding\056) -250 (In) ] TJ /F156 6.9738 Tf 174.813 0 Td [ (W) -24 (W) -24 (W) ] TJ /F147 6.9738 Tf 19.353 0 Td [ (\056) ] TJ 0 g 0 G -209.602 -7.97 Td [ (\13334\135) ] TJ 0 g 0 G 1.005 0 0 1 333.391 508.477 Tm [ (Lei) -248 (T) 49 (ang) -248 (and) -248 (Huan) -248 (Liu\056) -248 (2009\056) -357 (Scalable) -248 (learning) -247 (of) -248 (colle) -7 (ctiv) 8 (e) -248 (b) -10 (ehavior) -248 (base) -7 (d) -248 (on) ] TJ 1 0 0 1 333.391 500.507 Tm [ (sparse) -250 (so) -7 (cial) -250 (dimensions\056) -250 (In) ] TJ /F156 6.9738 Tf 80.952 0 Td [ (CIKM) ] TJ /F147 6.9738 Tf 16.298 0 Td [ (\056) ] TJ 0 g 0 G -112.686 -7.97 Td [ (\13335\135) ] TJ 0 g 0 G 0.992 0 0 1 333.391 492.537 Tm [ (Mikkel) -251 (Thorup) -252 (and) -251 (Uri) -252 (Zwick\056) -251 (2005\056) -362 (Appr) 8 (o) 7 (ximate) -251 (distance) -252 (oracles\056) ] TJ /F156 6.9738 Tf 0.992 0 0 1 526.158 492.537 Tm [ (JA) 34 (CM) ] TJ /F147 6.9738 Tf 0.992 0 0 1 545.45 492.537 Tm [ (52\054) -251 (1) ] TJ 1 0 0 1 333.182 484.567 Tm [ (\0502005\051\054) -250 <311532342e> ] TJ 0 g 0 G -15.227 -7.97 Td [ (\13336\135) ] TJ 0 g 0 G 0.998 0 0 1 333.391 476.597 Tm [ (Anton) -250 (T) 49 (sitsulin\054) -249 (Davide) -250 (Mottin\054) -249 (Panagiotis) -250 (K) 15 (arras\054) -250 (and) -249 (Emmanuel) -250 (Mller) 59 (\056) -249 (2018\056) ] TJ 1 0 0 1 333.161 468.627 Tm [ (VERSE\072) -250 (V) 80 (ersatile) -250 (Graph) -250 (Emb) -10 (e) -7 (ddings) -250 (fr) 8 (om) -250 (Similarity) -250 (Measur) 8 (es\056) -250 (In) ] TJ /F156 6.9738 Tf 189.019 0 Td [ (W) -24 (W) -24 (W) ] TJ /F147 6.9738 Tf 19.352 0 Td [ (\056) ] TJ 0 g 0 G -223.577 -7.97 Td [ (\13337\135) ] TJ 0 g 0 G [ -571 (Santosh) -250 (S) -250 (V) 80 (empala\056) -250 (2005\056) ] TJ /F156 6.9738 Tf 89.589 0 Td [ (The) -250 (random) -250 (pr) 8 (oje) -7 (ction) -250 (metho) -7 (d) ] TJ /F147 6.9738 Tf 84.634 0 Td [ (\056) -360 (American) -250 (Math\056) -250 (So) -7 (c\056) ] TJ 0 g 0 G -174.223 -7.971 Td [ (\13338\135) ] TJ 0 g 0 G 1.02 0 0 1 333.391 452.686 Tm [ (David) -328 (P) -327 (W) 78 (o) -7 (o) -7 (dru\035\056) -327 (2014\056) -654 (Sketching) -327 (as) -328 (a) -328 (T) 62 (o) -7 (ol) -327 (for) -328 (Numerical) -328 (Linear) -327 (Algebra\056) ] TJ /F156 6.9738 Tf 1 0 0 1 333.391 444.716 Tm [ (The) -7 (or) 8 (etical) -250 (Computer) -250 (Science) ] TJ /F147 6.9738 Tf 83.09 0 Td [ (\0502014\051\056) ] TJ 0 g 0 G -98.526 -7.97 Td [ (\13339\135) ] TJ 0 g 0 G 0.999 0 0 1 333.391 436.746 Tm [ (Mingqiang) -250 (Xue) 10 (\054) -250 (Panagiotis) -249 (K) 15 (arras\054) -250 (Che) -7 (dy) -250 (Rassi\054) -250 (Panos) -249 (K) 15 (alnis\054) -250 (and) -250 (Hung) -250 (K) 20 (eng) ] TJ 1.02 0 0 1 333.391 428.776 Tm [ (Pung\056) -262 (2012\056) -412 (Delineating) -262 (so) -7 (cial) -261 (netw) 7 (ork) -261 (data) -262 (anonymization) -261 (via) -262 (random) -262 (e) -6 (dge) ] TJ 1 0 0 1 333.391 420.806 Tm [ (p) -7 (erturbation\056) -250 (In) ] TJ /F156 6.9738 Tf 46.767 0 Td [ (CIKM) ] TJ /F147 6.9738 Tf 16.298 0 Td [ (\056) -250 <343735153438342e> ] TJ 0 g 0 G -78.501 -7.97 Td [ (\13340\135) ] TJ 0 g 0 G 0.98 0 0 1 333.391 412.836 Tm [ (Dingqi) -180 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