Modified log-Sobolev inequalities for strongly log-concave distributions
March 14, 2019 Β· Declared Dead Β· π IEEE Annual Symposium on Foundations of Computer Science
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Authors
Mary Cryan, Heng Guo, Giorgos Mousa
arXiv ID
1903.06081
Category
math.PR
Cross-listed
cs.DS,
math.CO
Citations
74
Venue
IEEE Annual Symposium on Foundations of Computer Science
Last Checked
3 months ago
Abstract
We show that the modified log-Sobolev constant for a natural Markov chain which converges to an $r$-homogeneous strongly log-concave distribution is at least $1/r$. Applications include a sharp mixing time bound for the bases-exchange walk for matroids, and a concentration bound for Lipschitz functions over these distributions.
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