Modified log-Sobolev inequalities for strongly log-concave distributions

March 14, 2019 Β· Declared Dead Β· πŸ› 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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