Events
Fall 2021

# CCSI/GMOS Student Seminar

Friday, September 24th, 2021, 2:00 pm3:00 pm

Location:

Room 116

Speaker 1: Sinho Chewi
Title 1: Dimension-free log-Sobolev inequalities for mixture distributions

Abstract 1: We show that if a family of probability distributions is such that (1) each distribution satisfies a log-Sobolev inequality and (2) the pairwise chi-squared divergences are bounded, then any mixture of the distributions also satisfies a log-Sobolev inequality with explicit constant. In particular, we resolve a conjecture of Zimmermann, and Bardet, Gozlan, Malrieu, and Zitt, that Gaussian convolutions of bounded support measures enjoy dimension-free log-Sobolev inequalities. This is joint work with Hong-Bin Chen and Jonathan Niles-Weed.