Query lower bounds for log-concave sampling

Author:

Chewi Sinho1,De Dios Pont Jaume2,Li Jerry3,Lu Chen4,Narayanan Shyam5

Affiliation:

1. Institute for Advanced Study,School of Mathematics,Princeton,USA

2. University of California, Los Angeles,Department of Mathematics,Los Angeles,USA

3. Machine Learning Foundations Microsoft Research,Redmond,USA

4. Massachusetts Institute of Technology,Department of Mathematics,Cambridge,USA

5. Massachusetts Institute of Technology,Department of EECS,Cambridge,USA

Funder

Broad Institute

Google

Publisher

IEEE

Reference70 articles.

1. Efficient constrained sampling via the mirror-Langevin algorithm;Ahn;Advances in Neural Information Processing Systems,2021

2. Faster high-accuracy log-concave sampling via algorithmic warm starts;Altschuler;arXiv preprint 2302.10249,2023

3. Resolving the mixing time of the Langevin algorithm to its stationary distribution for log-concave sampling;Altschuler

4. Some large-scale matrix computation problems

5. Low-rank approximation with 1/𝜖 1/3 matrix-vector products

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An Analysis of Transformed Unadjusted Langevin Algorithm for Heavy-Tailed Sampling;IEEE Transactions on Information Theory;2024-01

2. Krylov Methods are (nearly) Optimal for Low-Rank Approximation;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

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