4 papers
High-Dimensional Ultra-Log-Concave Distributions
Zongchen Chen, Sihan Wang
Ultra-log-concave distributions are ubiquitous in probability, combinatorics, and statistical mechanics and have been studied extensively. In this paper, we introduce a quantitativ…
Nonlinear Exchange Dynamics for Independent Sets
Mehrad Abbaszadeh Minab, Pietro Caputo, Zongchen Chen +2
In recent years, nonlinear dynamics derived from kinetic theory have gained attention in the context of sampling configurations of spin systems such as the Ising model. We focus on…
Factorizations of relative entropy using stochastic localization
Pietro Caputo, Zongchen Chen, Daniel Parisi
We derive entropy factorization estimates for spin systems using the stochastic localization approach proposed by Eldan and Chen-Eldan, which, in this context, is equivalent to the…
Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time
Pietro Caputo, Zongchen Chen, Yuzhou Gu +1
This paper considers the speed of convergence (mixing) of a finite Markov kernel with respect to the Kullback-Leibler divergence (entropy). Given a Markov kernel one defines ei…