Mark SellkeStanford University, Department of Mathematics, USAhttps://orcid.org/0000-0001-9166-8185Ryan AlweissBrice HuangMark SellkeImproved Lower Bound for Frankl's Union-Closed Sets Conjecture.202431Electron. J. Comb.3https://doi.org/10.37236/12232db/journals/combinatorics/combinatorics31.html#AlweissHS24streams/journals/combinatoricsMark SellkeOn size-independent sample complexity of ReLU networks.1064822024186Inf. Process. Lett.https://doi.org/10.1016/j.ipl.2024.106482db/journals/ipl/ipl186.html#Sellke24streams/journals/iplTanishq KumarKevin LuoMark SellkeNo Free Prune: Information-Theoretic Barriers to Pruning at Initialization.2024ICMLhttps://openreview.net/forum?id=Uzb45nolTbconf/icml/2024db/conf/icml/icml2024.html#KumarLS24Tanishq KumarKevin LuoMark SellkeNo Free Prune: Information-Theoretic Barriers to Pruning at Initialization.2024abs/2402.01089CoRRhttps://doi.org/10.48550/arXiv.2402.01089db/journals/corr/corr2402.html#abs-2402-01089Mark SellkeAleksandrs SlivkinsThe Price of Incentivizing Exploration: A Characterization via Thompson Sampling and Sample Complexity.1706-1732202371Oper. Res.5https://doi.org/10.1287/opre.2022.2401db/journals/ior/ior71.html#SellkeS23Sébastien BubeckMark SellkeA Universal Law of Robustness via Isoperimetry.10:1-10:182023April70J. ACM2https://doi.org/10.1145/3578580db/journals/jacm/jacm70.html#BubeckS23Ahmed El AlaouiAndrea MontanariMark SellkeLocal algorithms for maximum cut and minimum bisection on locally treelike regular graphs of large degree.689-7152023October63Random Struct. Algorithms3https://doi.org/10.1002/rsa.21149db/journals/rsa/rsa63.html#AlaouiMS23Sébastien BubeckMark SellkeFirst-Order Bayesian Regret Analysis of Thompson Sampling.1795-18232023March69IEEE Trans. Inf. Theory3https://doi.org/10.1109/TIT.2022.3213630db/journals/tit/tit69.html#BubeckS23Sitan ChenBrice HuangJerry Li 0001Allen LiuMark SellkeWhen Does Adaptivity Help for Quantum State Learning?391-4042023FOCShttps://doi.org/10.1109/FOCS57990.2023.00029conf/focs/2023db/conf/focs/focs2023.html#ChenH0LS23Ofer GrossmanMeghal GuptaMark SellkeTight Space Lower Bound for Pseudo-Deterministic Approximate Counting.1496-15042023FOCShttps://doi.org/10.1109/FOCS57990.2023.00091conf/focs/2023db/conf/focs/focs2023.html#GrossmanGS23Mark SellkeIncentivizing Exploration with Linear Contexts and Combinatorial Actions.30570-305832023ICMLhttps://proceedings.mlr.press/v202/sellke23a.htmlconf/icml/2023db/conf/icml/icml2023.html#Sellke23Evelyn Xiao-Yue GongMark SellkeAsymptotically Optimal Quantile Pure Exploration for Infinite-Armed Bandits.2023NeurIPShttp://papers.nips.cc/paper_files/paper/2023/hash/3b3a83a5d86e1d424daefed43d998079-Abstract-Conference.htmlconf/nips/2023db/conf/nips/neurips2023.html#GongS23Brice HuangMark SellkeAlgorithmic Threshold for Multi-Species Spherical Spin Glasses.2023abs/2303.12172CoRRhttps://doi.org/10.48550/arXiv.2303.12172db/journals/corr/corr2303.html#abs-2303-12172Ofer GrossmanMeghal GuptaMark SellkeTight Space Lower Bound for Pseudo-Deterministic Approximate Counting.2023abs/2304.01438CoRRhttps://doi.org/10.48550/arXiv.2304.01438db/journals/corr/corr2304.html#abs-2304-01438Mark SellkeIncentivizing Exploration with Linear Contexts and Combinatorial Actions.2023abs/2306.01990CoRRhttps://doi.org/10.48550/arXiv.2306.01990db/journals/corr/corr2306.html#abs-2306-01990Mark SellkeOn Size-Independent Sample Complexity of ReLU Networks.2023abs/2306.01992CoRRhttps://doi.org/10.48550/arXiv.2306.01992db/journals/corr/corr2306.html#abs-2306-01992Evelyn Xiao-Yue GongMark SellkeAsymptotically Optimal Pure Exploration for Infinite-Armed Bandits.2023abs/2306.01995CoRRhttps://doi.org/10.48550/arXiv.2306.01995db/journals/corr/corr2306.html#abs-2306-01995Victoria KostinaYuval PeresGireeja RanadeMark SellkeExact Minimum Number of Bits to Stabilize a Linear System.5548-5554202267IEEE Trans. Autom. Control.10https://doi.org/10.1109/TAC.2021.3126679db/journals/tac/tac67.html#KostinaPRS22Allen LiuMark SellkeThe Pareto Frontier of Instance-Dependent Guarantees in Multi-Player Multi-Armed Bandits with no Communication.30942022COLThttps://proceedings.mlr.press/v178/liu22e.htmlconf/colt/2022db/conf/colt/colt2022.html#LiuS22Brice HuangMark SellkeTight Lipschitz Hardness for optimizing Mean Field Spin Glasses.312-3222022conf/focs/2022FOCShttps://doi.org/10.1109/FOCS54457.2022.00037db/conf/focs/focs2022.html#HuangS22Ahmed El AlaouiAndrea MontanariMark SellkeSampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization.323-3342022conf/focs/2022FOCShttps://doi.org/10.1109/FOCS54457.2022.00038db/conf/focs/focs2022.html#AlaouiMS22Yining ChenElan RosenfeldMark SellkeTengyu Ma 0001Andrej RisteskiIterative Feature Matching: Toward Provable Domain Generalization with Logarithmic Environments.2022conf/nips/2022NeurIPShttp://papers.nips.cc/paper_files/paper/2022/hash/0b5eb45a22ff33956c043dd271f244ea-Abstract-Conference.htmldb/conf/nips/neurips2022.html#ChenRS0R22Allen LiuMark SellkeThe Pareto Frontier of Instance-Dependent Guarantees in Multi-Player Multi-Armed Bandits with no Communication.2022abs/2202.09653CoRRhttps://arxiv.org/abs/2202.09653db/journals/corr/corr2202.html#abs-2202-09653Ahmed El AlaouiAndrea MontanariMark SellkeSampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization.2022abs/2203.05093CoRRhttps://doi.org/10.48550/arXiv.2203.05093db/journals/corr/corr2203.html#abs-2203-05093Sitan ChenBrice HuangJerry Li 0001Allen LiuMark SellkeTight Bounds for State Tomography with Incoherent Measurements.2022abs/2206.05265CoRRhttps://doi.org/10.48550/arXiv.2206.05265db/journals/corr/corr2206.html#abs-2206-05265Victoria KostinaYuval PeresGireeja RanadeMark SellkeStabilizing a System With an Unbounded Random Gain Using Only Finitely Many Bits.2554-2561202167IEEE Trans. Inf. Theory4https://doi.org/10.1109/TIT.2021.3053140db/journals/tit/tit67.html#KostinaPRS21Sébastien BubeckThomas BudzinskiMark SellkeCooperative and Stochastic Multi-Player Multi-Armed Bandit: Optimal Regret With Neither Communication Nor Collisions.821-8222021COLThttp://proceedings.mlr.press/v134/bubeck21b.htmlconf/colt/2021db/conf/colt/colt2021.html#BubeckBS21Sébastien BubeckNiv BuchbinderChristian CoesterMark SellkeMetrical Service Systems with Transformations.21:1-21:202021ITCShttps://doi.org/10.4230/LIPIcs.ITCS.2021.21conf/innovations/2021db/conf/innovations/innovations2021.html#BubeckBCS21Sébastien BubeckMark SellkeA Universal Law of Robustness via Isoperimetry.28811-288222021NeurIPShttps://proceedings.neurips.cc/paper/2021/hash/f197002b9a0853eca5e046d9ca4663d5-Abstract.htmlconf/nips/2021db/conf/nips/neurips2021.html#BubeckS21Mark SellkeAleksandrs SlivkinsThe Price of Incentivizing Exploration: A Characterization via Thompson Sampling and Sample Complexity.795-7962021EChttps://doi.org/10.1145/3465456.3467549conf/sigecom/2021db/conf/sigecom/sigecom2021.html#SellkeS21Parinya ChalermsookSyamantak DasYunbum KookBundit LaekhanukitYang P. LiuRichard PengMark SellkeDaniel Vaz 0001Vertex Sparsification for Edge Connectivity.1206-12252021SODAhttps://doi.org/10.1137/1.9781611976465.74conf/soda/2021db/conf/soda/soda2021.html#ChalermsookDKLL21Sébastien BubeckYuval RabaniMark SellkeOnline Multiserver Convex Chasing and Optimization.2093-21042021SODAhttps://doi.org/10.1137/1.9781611976465.125conf/soda/2021db/conf/soda/soda2021.html#BubeckRS21Sébastien BubeckMark SellkeA Universal Law of Robustness via Isoperimetry.2021abs/2105.12806CoRRhttps://arxiv.org/abs/2105.12806db/journals/corr/corr2105.html#abs-2105-12806Yining ChenElan RosenfeldMark SellkeTengyu Ma 0001Andrej RisteskiIterative Feature Matching: Toward Provable Domain Generalization with Logarithmic Environments.2021abs/2106.09913CoRRhttps://arxiv.org/abs/2106.09913db/journals/corr/corr2106.html#abs-2106-09913Brice HuangMark SellkeTight Lipschitz Hardness for Optimizing Mean Field Spin Glasses.2021abs/2110.07847CoRRhttps://arxiv.org/abs/2110.07847db/journals/corr/corr2110.html#abs-2110-07847Ahmed El AlaouiAndrea MontanariMark SellkeLocal algorithms for Maximum Cut and Minimum Bisection on locally treelike regular graphs of large degree.2021abs/2111.06813CoRRhttps://arxiv.org/abs/2111.06813db/journals/corr/corr2111.html#abs-2111-06813Sébastien BubeckMark SellkeFirst-Order Bayesian Regret Analysis of Thompson Sampling.196-2332020ALThttp://proceedings.mlr.press/v117/bubeck20a.htmlconf/alt/2020db/conf/alt/alt2020.html#BubeckS20Sébastien BubeckYuanzhi LiYuval PeresMark SellkeNon-Stochastic Multi-Player Multi-Armed Bandits: Optimal Rate With Collision Information, Sublinear Without.961-9872020COLThttp://proceedings.mlr.press/v125/bubeck20c.htmlconf/colt/2020db/conf/colt/colt2020.html#BubeckLPS20Sébastien BubeckBo'az KlartagYin Tat LeeYuanzhi LiMark SellkeChasing Nested Convex Bodies Nearly Optimally.1496-15082020SODAhttps://doi.org/10.1137/1.9781611975994.91conf/soda/2020db/conf/soda/soda2020.html#BubeckKLLS20Mark SellkeChasing Convex Bodies Optimally.1509-15182020SODAhttps://doi.org/10.1137/1.9781611975994.92conf/soda/2020db/conf/soda/soda2020.html#Sellke20Mark SellkeAleksandrs SlivkinsSample Complexity of Incentivized Exploration.2020abs/2002.00558CoRRhttps://arxiv.org/abs/2002.00558db/journals/corr/corr2002.html#abs-2002-00558Sébastien BubeckYuval RabaniMark SellkeOnline Multiserver Convex Chasing and Optimization.2020abs/2004.07346CoRRhttps://arxiv.org/abs/2004.07346db/journals/corr/corr2004.html#abs-2004-07346Parinya ChalermsookSyamantak DasBundit LaekhanukitYunbum KookYang P. LiuRichard PengMark SellkeDaniel Vaz 0001Vertex Sparsification for Edge Connectivity.2020abs/2007.07862CoRRhttps://arxiv.org/abs/2007.07862db/journals/corr/corr2007.html#abs-2007-07862Sébastien BubeckNiv BuchbinderChristian CoesterMark SellkeMetrical Service Systems with Transformations.2020abs/2009.08266CoRRhttps://arxiv.org/abs/2009.08266db/journals/corr/corr2009.html#abs-2009-08266Ahmed El AlaouiMark SellkeAlgorithmic pure states for the negative spherical perceptron.2020abs/2010.15811CoRRhttps://arxiv.org/abs/2010.15811db/journals/corr/corr2010.html#abs-2010-15811Sébastien BubeckThomas BudzinskiMark SellkeCooperative and Stochastic Multi-Player Multi-Armed Bandit: Optimal Regret With Neither Communication Nor Collisions.2020abs/2011.03896CoRRhttps://arxiv.org/abs/2011.03896db/journals/corr/corr2011.html#abs-2011-03896Timothy ChuGary L. MillerShyam NarayananMark SellkeFunctions that Preserve Manhattan Distances.2020abs/2011.11503CoRRhttps://arxiv.org/abs/2011.11503db/journals/corr/corr2011.html#abs-2011-11503Sébastien BubeckYin Tat LeeYuanzhi LiMark SellkeCompetitively chasing convex bodies.861-8682019STOChttps://doi.org/10.1145/3313276.3316314conf/stoc/2019db/conf/stoc/stoc2019.html#BubeckLLS19Sébastien BubeckMark SellkeFirst-Order Regret Analysis of Thompson Sampling.2019abs/1902.00681CoRRhttp://arxiv.org/abs/1902.00681db/journals/corr/corr1902.html#abs-1902-00681Sébastien BubeckYuanzhi LiYuval PeresMark SellkeNon-Stochastic Multi-Player Multi-Armed Bandits: Optimal Rate With Collision Information, Sublinear Without.2019abs/1904.12233CoRRhttp://arxiv.org/abs/1904.12233db/journals/corr/corr1904.html#abs-1904-12233Mark SellkeChasing Convex Bodies Optimally.2019abs/1905.11968CoRRhttp://arxiv.org/abs/1905.11968db/journals/corr/corr1905.html#abs-1905-11968Yang P. LiuRichard PengMark SellkeVertex Sparsifiers for c-Edge Connectivity.2019abs/1910.10359CoRRhttp://arxiv.org/abs/1910.10359db/journals/corr/corr1910.html#abs-1910-10359Victoria KostinaYuval PeresGireeja RanadeMark SellkeExact minimum number of bits to stabilize a linear system.453-4582018CDChttps://doi.org/10.1109/CDC.2018.8619156conf/cdc/2018db/conf/cdc/cdc2018.html#KostinaPRS18Victoria KostinaYuval PeresGireeja RanadeMark SellkeStabilizing a System with an Unbounded Random Gain Using Only Finitely Many Bits.2256-22602018ISIThttps://doi.org/10.1109/ISIT.2018.8437548conf/isit/2018db/conf/isit/isit2018.html#KostinaPRS18Victoria KostinaYuval PeresGireeja RanadeMark SellkeStabilizing a system with an unbounded random gain using only a finite number of bits.2018abs/1805.05535CoRRhttp://arxiv.org/abs/1805.05535db/journals/corr/corr1805.html#abs-1805-05535Victoria KostinaYuval PeresGireeja RanadeMark SellkeExact minimum number of bits to stabilize a linear system.2018abs/1807.07686CoRRhttp://arxiv.org/abs/1807.07686db/journals/corr/corr1807.html#abs-1807-07686Sébastien BubeckYin Tat LeeYuanzhi LiMark SellkeCompetitively Chasing Convex Bodies.2018abs/1811.00887CoRRhttp://arxiv.org/abs/1811.00887db/journals/corr/corr1811.html#abs-1811-00887Sébastien BubeckYin Tat LeeYuanzhi LiMark SellkeChasing Nested Convex Bodies Nearly Optimally.2018abs/1811.00999CoRRhttp://arxiv.org/abs/1811.00999db/journals/corr/corr1811.html#abs-1811-00999Boris HaninMark SellkeApproximating Continuous Functions by ReLU Nets of Minimal Width.2017abs/1710.11278CoRRhttp://arxiv.org/abs/1710.11278db/journals/corr/corr1710.html#abs-1710-11278Ahmed El AlaouiRyan AlweissSébastien BubeckNiv BuchbinderThomas BudzinskiParinya ChalermsookSitan ChenYining ChenTimothy ChuChristian CoesterSyamantak DasEvelyn Xiao-Yue GongOfer GrossmanMeghal GuptaBoris HaninBrice HuangBo'az KlartagYunbum KookVictoria KostinaTanishq KumarBundit LaekhanukitYin Tat LeeJerry Li 0001Yuanzhi LiAllen LiuYang P. LiuKevin LuoTengyu Ma 0001Gary L. MillerAndrea MontanariShyam NarayananRichard PengYuval PeresYuval RabaniGireeja RanadeAndrej RisteskiElan RosenfeldAleksandrs SlivkinsDaniel Vaz 0001