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2020 – today
- 2024
[j37]Tamal K. Dey
, Woojin Kim, Facundo Mémoli:
Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications. Discret. Comput. Geom. 71(1): 67-94 (2024)- [j36]Woojin Kim, Facundo Mémoli:
Extracting Persistent Clusters in Dynamic Data via Möbius Inversion. Discret. Comput. Geom. 71(4): 1276-1342 (2024) - [j35]Mario Gómez, Facundo Mémoli:
Curvature Sets Over Persistence Diagrams. Discret. Comput. Geom. 72(1): 91-180 (2024) - [j34]Facundo Mémoli, Anastasios Stefanou, Ling Zhou:
Persistent cup product structures and related invariants. J. Appl. Comput. Topol. 8(1): 93-148 (2024) - [j33]Woojin Kim, Facundo Mémoli, Anastasios Stefanou:
Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics. Order 41(2): 497-537 (2024) - [j32]Mario Gómez, Facundo Mémoli:
The Four Point Condition: An Elementary Tropicalization of Ptolemy's Inequality. Am. Math. Mon. 131(3): 187-203 (2024) - [i40]Facundo Mémoli, Brantley Vose, Robert C. Williamson:
Geometry and Stability of Supervised Learning Problems. CoRR abs/2403.01660 (2024) - [i39]Martin Bauer, Facundo Mémoli, Tom Needham, Mao Nishino:
The Z-Gromov-Wasserstein Distance. CoRR abs/2408.08233 (2024) - 2023
- [j31]Facundo Mémoli, Axel Munk, Zhengchao Wan, Christoph Weitkamp:
The Ultrametric Gromov-Wasserstein Distance. Discret. Comput. Geom. 70(4): 1378-1450 (2023) - [j30]Samir Chowdhury, Facundo Mémoli:
Distances and isomorphism between networks: stability and convergence of network invariants. J. Appl. Comput. Topol. 7(2): 243-361 (2023) - [j29]Hanbaek Lyu, Facundo Mémoli, David Sivakoff:
Sampling random graph homomorphisms and applications to network data analysis. J. Mach. Learn. Res. 24: 9:1-9:79 (2023) - [j28]Facundo Mémoli, Zane T. Smith, Zhengchao Wan:
The Gromov-Hausdor? distance between ultrametric spaces: its structure and computation. J. Comput. Geom. 14(1): 78-143 (2023) - [c32]Nate Clause, Tamal K. Dey, Facundo Mémoli, Bei Wang:
Meta-Diagrams for 2-Parameter Persistence. SoCG 2023: 25:1-25:16 - [c31]Aziz Burak Gülen, Facundo Mémoli, Zhengchao Wan, Yusu Wang:
A Generalization of the Persistent Laplacian to Simplicial Maps. SoCG 2023: 37:1-37:17 - [c30]Facundo Mémoli, Ling Zhou:
Ephemeral Persistence Features and the Stability of Filtered Chain Complexes. SoCG 2023: 51:1-51:18 - [c29]Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang:
The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs. TAG-ML 2023: 404-425 - [i38]Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang:
The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs. CoRR abs/2302.00713 (2023) - [i37]Aziz Burak Gülen, Facundo Mémoli, Zhengchao Wan, Yusu Wang:
A generalization of the persistent Laplacian to simplicial maps. CoRR abs/2302.03771 (2023) - [i36]Nate Clause, Tamal K. Dey, Facundo Mémoli, Bei Wang:
Meta-Diagrams for 2-Parameter Persistence. CoRR abs/2303.08270 (2023) - 2022
- [j27]Facundo Mémoli, Zhengchao Wan, Yusu Wang:
Persistent Laplacians: Properties, Algorithms and Implications. SIAM J. Math. Data Sci. 4(2): 858-884 (2022) - [c28]Marco Contessoto, Facundo Mémoli, Anastasios Stefanou, Ling Zhou:
Persistent Cup-Length. SoCG 2022: 31:1-31:17 - [c27]Tamal K. Dey, Woojin Kim, Facundo Mémoli:
Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications. SoCG 2022: 34:1-34:17 - [c26]Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang:
Weisfeiler-Lehman Meets Gromov-Wasserstein. ICML 2022: 3371-3416 - [i35]Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, Yusu Wang:
Weisfeiler-Lehman meets Gromov-Wasserstein. CoRR abs/2202.02495 (2022) - [i34]Nate Clause, Woojin Kim, Facundo Mémoli:
The discriminating power of the generalized rank invariant. CoRR abs/2207.11591 (2022) - 2021
- [j26]Facundo Mémoli, Osman Berat Okutan:
Quantitative Simplification of Filtered Simplicial Complexes. Discret. Comput. Geom. 65(2): 554-583 (2021) - [j25]Woojin Kim, Facundo Mémoli:
Spatiotemporal Persistent Homology for Dynamic Metric Spaces. Discret. Comput. Geom. 66(3): 831-875 (2021) - [j24]Ulrich Bauer, Claudia Landi, Facundo Mémoli:
The Reeb Graph Edit Distance is Universal. Found. Comput. Math. 21(5): 1441-1464 (2021) - [j23]Woojin Kim, Facundo Mémoli:
Generalized persistence diagrams for persistence modules over posets. J. Appl. Comput. Topol. 5(4): 533-581 (2021) - [j22]Chen Cai, Woojin Kim, Facundo Mémoli, Yusu Wang:
Elder-Rule-Staircodes for Augmented Metric Spaces. SIAM J. Appl. Algebra Geom. 5(3): 417-454 (2021) - [j21]Gunnar E. Carlsson, Facundo Mémoli, Santiago Segarra:
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. SIAM J. Appl. Algebra Geom. 5(4): 675-700 (2021) - [i33]Marco Contessoto, Facundo Mémoli, Anastasios Stefanou, Ling Zhou:
The persistent cup-length invariant. CoRR abs/2107.01553 (2021) - [i32]Gunnar E. Carlsson, Facundo Mémoli, Santiago Segarra:
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. CoRR abs/2108.07247 (2021) - [i31]Facundo Mémoli, Zane T. Smith, Zhengchao Wan:
The Gromov-Hausdorff distance between ultrametric spaces: its structure and computation. CoRR abs/2110.03136 (2021) - [i30]Tamal K. Dey, Woojin Kim, Facundo Mémoli:
Computing Generalized Rank invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications. CoRR abs/2111.15058 (2021) - 2020
- [j20]Facundo Mémoli, Osman Berat Okutan:
Reeb posets and tree approximations. Discret. Math. 343(2): 111658 (2020) - [c25]Ulrich Bauer, Claudia Landi, Facundo Mémoli:
The Reeb Graph Edit Distance Is Universal. SoCG 2020: 15:1-15:16 - [c24]Chen Cai, Woojin Kim, Facundo Mémoli, Yusu Wang:
Elder-Rule-Staircodes for Augmented Metric Spaces. SoCG 2020: 26:1-26:17 - [c23]Santiago Segarra, T. Mitchell Roddenberry, Facundo Mémoli, Alejandro Ribeiro:
Metric Representations of Networks: A Uniqueness Result. ICASSP 2020: 5345-5349 - [i29]Facundo Mémoli, Guilherme Vituri F. Pinto:
Motivic clustering schemes for directed graphs. CoRR abs/2001.00278 (2020) - [i28]Sunhyuk Lim, Facundo Mémoli, Osman Berat Okutan:
Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius. CoRR abs/2001.07588 (2020) - [i27]Chen Cai, Woojin Kim, Facundo Mémoli, Yusu Wang:
Elder-rule-staircodes for Augmented Metric Spaces. CoRR abs/2003.04523 (2020) - [i26]Kun Jin, Facundo Mémoli, Zhengchao Wan:
The Gaussian Transform. CoRR abs/2006.11698 (2020) - [i25]Facundo Mémoli, Zhengchao Wan, Yusu Wang:
Persistent Laplacians: properties, algorithms and implications. CoRR abs/2012.02808 (2020)
2010 – 2019
- 2019
- [j19]Alexander Elchesen, Facundo Mémoli:
The reflection distance between zigzag persistence modules. J. Appl. Comput. Topol. 3(3): 185-219 (2019) - [j18]Haibin Hang, Facundo Mémoli, Washington Mio:
A topological study of functional data and Fréchet functions of metric measure spaces. J. Appl. Comput. Topol. 3(4): 359-380 (2019) - [c22]Facundo Mémoli, Zane T. Smith, Zhengchao Wan:
The Wasserstein Transform. ICML 2019: 4496-4504 - [i24]Facundo Mémoli, Kritika Singhal:
A Primer on Persistent Homology of Finite Metric Spaces. CoRR abs/1905.13400 (2019) - [i23]Hanbaek Lyu, Facundo Mémoli, David Sivakoff:
Sampling random graph homomorphisms and applications to network data analysis. CoRR abs/1910.09483 (2019) - [i22]Santiago Segarra, T. Mitchell Roddenberry, Facundo Mémoli, Alejandro Ribeiro:
Metric Representations of Networks: A Uniqueness Result. CoRR abs/1911.00164 (2019) - [i21]Facundo Mémoli, Ling Zhou:
Persistent Homotopy Groups of Metric Spaces. CoRR abs/1912.12399 (2019) - 2018
- [j17]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical clustering of asymmetric networks. Adv. Data Anal. Classif. 12(1): 65-105 (2018) - [j16]Facundo Mémoli, Anastasios Sidiropoulos, Vijay Sridhar:
Quasimetric Embeddings and Their Applications. Algorithmica 80(12): 3803-3824 (2018) - [j15]Samir Chowdhury, Facundo Mémoli:
A functorial Dowker theorem and persistent homology of asymmetric networks. J. Appl. Comput. Topol. 2(1-2): 115-175 (2018) - [c21]Woojin Kim, Facundo Mémoli:
Formigrams: Clustering Summaries of Dynamic Data. CCCG 2018: 180-188 - [c20]Samir Chowdhury, Facundo Mémoli:
Persistent Path Homology of Directed Networks. SODA 2018: 1152-1169 - [i20]Facundo Mémoli, Anastasios Sidiropoulos, Kritika Singhal:
Sketching and Clustering Metric Measure Spaces. CoRR abs/1801.00551 (2018) - [i19]Ulrich Bauer, Claudia Landi, Facundo Mémoli:
The Reeb Graph Edit Distance is Universal. CoRR abs/1801.01866 (2018) - [i18]Alexander Elchesen, Facundo Mémoli:
The reflection distance between zigzag persistence modules. CoRR abs/1805.11190 (2018) - [i17]Samir Chowdhury, Facundo Mémoli:
The Gromov-Wasserstein distance between networks and stable network invariants. CoRR abs/1808.04337 (2018) - [i16]Facundo Mémoli, Zane T. Smith, Zhengchao Wan:
The Wasserstein transform. CoRR abs/1810.07793 (2018) - [i15]Woojin Kim, Facundo Mémoli:
Rank invariant for Zigzag Modules. CoRR abs/1810.11517 (2018) - [i14]Woojin Kim, Facundo Mémoli:
Stable Persistent Homology Features of Dynamic Metric Spaces. CoRR abs/1812.00949 (2018) - 2017
- [j14]Luca Cosmo, Emanuele Rodolà, Andrea Albarelli, Facundo Mémoli, Daniel Cremers:
Consistent Partial Matching of Shape Collections via Sparse Modeling. Comput. Graph. Forum 36(1): 209-221 (2017) - [j13]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. IEEE Trans. Signal Inf. Process. over Networks 3(4): 711-727 (2017) - [c19]Tamal K. Dey, Facundo Mémoli, Yusu Wang:
Topological Analysis of Nerves, Reeb Spaces, Mappers, and Multiscale Mappers. SoCG 2017: 36:1-36:16 - [i13]Patrizio Frosini, Claudia Landi, Facundo Mémoli:
The Persistent Homotopy Type Distance. CoRR abs/1702.07893 (2017) - [i12]Tamal K. Dey, Facundo Mémoli, Yusu Wang:
Topological Analysis of Nerves, Reeb Spaces, Mappers, and Multiscale Mappers. CoRR abs/1703.07387 (2017) - [i11]Facundo Mémoli:
A Distance Between Filtered Spaces Via Tripods. CoRR abs/1704.03965 (2017) - [i10]Samir Chowdhury, Facundo Mémoli:
Distances and Isomorphism between Networks and the Stability of Network Invariants. CoRR abs/1708.04727 (2017) - [i9]Woojin Kim, Facundo Mémoli:
Stable Signatures for Dynamic Metric Spaces via Zigzag Persistent Homology. CoRR abs/1712.04064 (2017) - 2016
- [j12]Andrey Babichev, Daoyun Ji, Facundo Mémoli, Yuri A. Dabaghian:
A Topological Model of the Hippocampal Cell Assembly Network. Frontiers Comput. Neurosci. 10: 50 (2016) - [c18]Samir Chowdhury, Facundo Mémoli:
Persistent homology of directed networks. ACSSC 2016: 77-81 - [c17]Zane T. Smith, Samir Chowdhury, Facundo Mémoli:
Hierarchical representations of network data with optimal distortion bounds. ACSSC 2016: 1834-1838 - [c16]Facundo Mémoli, Anastasios Sidiropoulos, Vijay Sridhar:
Quasimetric Embeddings and Their Applications. ICALP 2016: 85:1-85:14 - [c15]Samir Chowdhury, Facundo Mémoli:
Distances between directed networks and applications. ICASSP 2016: 6420-6424 - [c14]Samir Chowdhury, Facundo Mémoli, Zane T. Smith:
Improved Error Bounds for Tree Representations of Metric Spaces. NIPS 2016: 2838-2846 - [c13]Tamal K. Dey, Facundo Mémoli, Yusu Wang:
Multiscale Mapper: Topological Summarization via Codomain Covers. SODA 2016: 997-1013 - [i8]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical Clustering of Asymmetric Networks. CoRR abs/1607.06294 (2016) - [i7]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. CoRR abs/1607.06335 (2016) - [i6]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Excisive Hierarchical Clustering Methods for Network Data. CoRR abs/1607.06339 (2016) - [i5]Facundo Mémoli, Anastasios Sidiropoulos, Vijay Sridhar:
Quasimetric embeddings and their applications. CoRR abs/1608.01396 (2016) - 2015
- [c12]Samir Chowdhury, Facundo Mémoli:
Metric structures on networks and applications. Allerton 2015: 1470-1472 - [i4]Tamal K. Dey, Facundo Mémoli, Yusu Wang:
Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps. CoRR abs/1504.03763 (2015) - 2014
- [j11]Facundo Mémoli:
The Gromov-Wasserstein Distance: A Brief Overview. Axioms 3(3): 335-341 (2014) - [c11]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical Quasi-Clustering Methods for Asymmetric Networks. ICML 2014: 352-360 - [i3]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical Quasi-Clustering Methods for Asymmetric Networks. CoRR abs/1404.4655 (2014) - 2013
- [j10]Gunnar E. Carlsson, Facundo Mémoli:
Classifying Clustering Schemes. Found. Comput. Math. 13(2): 221-252 (2013) - [c10]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical clustering methods and algorithms for asymmetric networks. ACSSC 2013: 1773-1777 - [c9]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Alternative axiomatic constructions for hierarchical clustering of asymmetric networks. GlobalSIP 2013: 791-794 - [c8]Diego H. Diaz Martinez, Facundo Mémoli, Washington Mio:
Multiscale Covariance Fields, Local Scales, and Shape Transforms. GSI 2013: 794-801 - [c7]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Axiomatic construction of hierarchical clustering in asymmetric networks. ICASSP 2013: 5219-5223 - [i2]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Axiomatic Construction of Hierarchical Clustering in Asymmetric Networks. CoRR abs/1301.7724 (2013) - 2012
- [j9]Facundo Mémoli:
Some Properties of Gromov-Hausdorff Distances. Discret. Comput. Geom. 48(2): 416-440 (2012) - [j8]Yu. Dabaghian, Facundo Mémoli, Loren M. Frank, Gunnar E. Carlsson:
A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology. PLoS Comput. Biol. 8(8) (2012) - 2011
- [j7]Facundo Mémoli:
Gromov-Wasserstein Distances and the Metric Approach to Object Matching. Found. Comput. Math. 11(4): 417-487 (2011) - [c6]Facundo Mémoli:
Metric Structures on Datasets: Stability and Classification of Algorithms. CAIP (2) 2011: 1-33 - 2010
- [j6]Maks Ovsjanikov, Quentin Mérigot, Facundo Mémoli, Leonidas J. Guibas:
One Point Isometric Matching with the Heat Kernel. Comput. Graph. Forum 29(5): 1555-1564 (2010) - [j5]Gunnar E. Carlsson, Facundo Mémoli:
Characterization, Stability and Convergence of Hierarchical Clustering Methods. J. Mach. Learn. Res. 11: 1425-1470 (2010) - [i1]Gunnar E. Carlsson, Facundo Mémoli:
Classifying Clustering Schemes. CoRR abs/1011.5270 (2010)
2000 – 2009
- 2009
- [j4]Frédéric Chazal, David Cohen-Steiner, Leonidas J. Guibas, Facundo Mémoli, Steve Oudot:
Gromov-Hausdorff Stable Signatures for Shapes using Persistence. Comput. Graph. Forum 28(5): 1393-1403 (2009) - [c5]Facundo Mémoli:
Spectral Gromov-Wasserstein distances for shape matching. ICCV Workshops 2009: 256-263 - 2008
- [c4]Facundo Mémoli:
Gromov-Hausdorff distances in Euclidean spaces. CVPR Workshops 2008: 1-8 - 2007
- [j3]Carsten Moenning, Facundo Mémoli, Guillermo Sapiro, Nira Dyn, Neil A. Dodgson:
Meshless geometric subdivision. Graph. Model. 69(3-4): 160-179 (2007) - [c3]Facundo Mémoli:
On the use of Gromov-Hausdorff Distances for Shape Comparison. PBG@Eurographics 2007: 81-90 - [c2]Gurjeet Singh, Facundo Mémoli, Gunnar E. Carlsson:
Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition. PBG@Eurographics 2007: 91-100 - 2006
- [p1]Facundo Mémoli, Guillermo Sapiro:
Computing with Point Cloud Data. Statistics and Analysis of Shapes 2006: 201-229 - 2005
- [j2]Facundo Mémoli, Guillermo Sapiro:
A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data. Found. Comput. Math. 5(3): 313-347 (2005) - [j1]Facundo Mémoli, Guillermo Sapiro:
Distance Functions and Geodesics on Submanifolds of Rd and Point Clouds. SIAM J. Appl. Math. 65(4): 1227-1260 (2005) - 2004
- [c1]Facundo Mémoli, Guillermo Sapiro:
Comparing Point Clouds. Symposium on Geometry Processing 2004: 32-40
Coauthor Index
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