Research

  1. Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time
    Pietro Caputo, Zongchen Chen, Yuzhou Gu, Yury Polyanskiy
    [arXiv version]

  2. Tight Bounds for Noisy Computation of Threshold, Counting and Connectivity
    Yuzhou Gu, Xin Li, Yinzhan Xu
    Submitted

  3. Exact condensation thresholds for NAE-SAT and the hypergraph stochastic block model
    Yuzhou Gu
    In preparation

  4. Robust reconstruction on trees revisited
    Yuzhou Gu, Yury Polyanskiy
    In preparation

  5. Log-concave Sampling over a Convex Body with a Barrier: a Robust and Unified Dikin Walk
    Yuzhou Gu, Nikki Lijing Kuang, Yi-An Ma, Zhao Song, Lichen Zhang
    Conference on Neural Information Processing Systems (NeurIPS) 2024
    [arXiv version]

  6. Community detection in the hypergraph stochastic block model and reconstruction on hypertrees
    Yuzhou Gu, Aaradhya Pandey
    Conference on Learning Theory (COLT) 2024
    [conference version] [arXiv version]

  7. Non-linear log-Sobolev inequalities for the Potts channel with applications to reconstruction problems
    Yuzhou Gu, Yury Polyanskiy
    Communications in Mathematical Physics, 404(2):769–831, 2023
    [journal version] [arXiv version]

  8. Generalized Rainbow Differential Privacy
    Yuzhou Gu, Ziqi Zhou, Onur Günlü, Rafael G. L. D'Oliveira, Parastoo Sadeghi, Muriel Médard, Rafael F. Schaefer
    Journal of Privacy and Confidentiality, 14(2), 2024
    [journal version] [arXiv version]

  9. Fast Sampling of \(b\)-Matchings and \(b\)-Edge Covers
    Zongchen Chen, Yuzhou Gu
    ACM-SIAM Symposium on Discrete Algorithms (SODA) 2024
    [conference version] [arXiv version]

  10. Weak Recovery Threshold for the Hypergraph Stochastic Block Model
    Yuzhou Gu, Yury Polyanskiy
    Conference on Learning Theory (COLT) 2023
    [conference version] [arXiv version]

  11. Uniqueness of BP fixed point for the Potts model and applications to community detection
    Yuzhou Gu, Yury Polyanskiy
    Conference on Learning Theory (COLT) 2023
    [conference version] [arXiv version]

  12. Faster Algorithms for Structured Linear and Kernel Support Vector Machines
    Yuzhou Gu, Zhao Song, Lichen Zhang
    [arXiv version]

  13. Low Rank Matrix Completion via Robust Alternating Minimization in Nearly Linear Time
    Yuzhou Gu, Zhao Song, Junze Yin, Lichen Zhang
    International Conference on Learning Representations (ICLR) 2024
    [conference version] [arXiv version]

  14. A Faster Small Treewidth SDP Solver
    Yuzhou Gu, Zhao Song
    [arXiv version]

  15. Optimal Bounds for Noisy Sorting
    Yuzhou Gu, Yinzhan Xu
    ACM Symposium on Theory of Computing (STOC) 2023
    [conference version] [arXiv version]

  16. Stochastic block model entropy and broadcasting on trees with survey
    Emmanuel Abbe, Elisabetta Cornacchia, Yuzhou Gu, Yury Polyanskiy
    Conference on Learning Theory (COLT) 2021
    Best Student Paper Award
    [conference version] [arXiv version]

  17. Faster monotone min-plus product, range mode, and single source replacement paths
    Yuzhou Gu, Adam Polak, Virginia Vassilevska Williams, Yinzhan Xu
    International Colloquium on Automata, Languages and Programming (ICALP) 2021
    [conference version] [arXiv version]

  18. Broadcasting on trees near criticality
    Yuzhou Gu, Hajir Roozbehani, Yury Polyanskiy
    IEEE International Symposium on Information Theory (ISIT) 2020
    [conference version] [arXiv version]

  19. Spanoids - an abstraction of spanning structures, and a barrier for LCCs
    Zeev Dvir, Sivakanth Gopi, Yuzhou Gu, Avi Wigderson
    Innovations in Theoretical Computer Science (ITCS) 2019
    [conference version] [arXiv version]
    Spanoids - an abstraction of spanning structures, and a barrier for LCCs
    Zeev Dvir, Sivakanth Gopi, Yuzhou Gu, Avi Wigderson
    SIAM Journal on Computing (SICOMP), 49(3):465-496, 2020
    [journal version]

  20. Nearly optimal separation between partially and fully retroactive data structures
    Lijie Chen, Erik D. Demaine, Yuzhou Gu, Virginia Vassilevska Williams, Yinzhan Xu, Yuancheng Yu
    Scandinavian Symposium and Workshops on Algorithm Theory (SWAT) 2018
    [conference version] [arXiv version]

  21. Zero-error communication over adder MAC
    Yuzhou Gu
    [arXiv version]

  22. Graph magnitude homology via algebraic Morse theory
    Yuzhou Gu
    [arXiv version]

  23. Generalized equivariant model structure on \(\text{Cat}^I\)
    Yuzhou Gu
    [arXiv version]

  24. Some results on reversible gate classes over non-binary alphabets
    Yuzhou Gu
    [arXiv version]