14 citations · 63 across the 32 of their papers we have counts for
7 papers · 1 filter
Rényi--Sobolev Inequalities and Connections to Spectral Graph Theory
Lei Yu, Hao Wu
In this paper, we generalize the log-Sobolev inequalities to Rényi--Sobolev inequalities by replacing the entropy with the two-parameter entropy, which is a generalized version of…
The Entropy Method in Large Deviation Theory
Lei Yu
This paper illustrates the power of the entropy method in addressing problems from large deviation theory. We provide and review entropy proofs for most fundamental results in larg…
Exact Exponents for Concentration and Isoperimetry in Product Polish Spaces
Lei Yu
In this paper, we derive variational formulas for the asymptotic exponents (i.e., convergence rates) of the concentration and isoperimetric functions in the product Polish probabil…
On the -Stability and Related Conjectures
Lei Yu
Given a convex function and the mean , which Boolean function maximizes the -stability $\mathbb{E}[Φ(T_ρf(\mathbf{X…
Asymptotics for Strassen's Optimal Transport Problem
Lei Yu
In this paper, we consider Strassen's version of optimal transport (OT) problem, which concerns minimizing the excess-cost probability (i.e., the probability that the cost is large…
On Conditional Correlations
Lei Yu
The Pearson correlation, correlation ratio, and maximal correlation have been well-studied in the literature. In this paper, we study the conditional versions of these quantities.…
Beyond the Central Limit Theorem: Universal and Non-universal Simulations of Random Variables by General Mappings
Lei Yu
Motivated by the Central Limit Theorem, in this paper, we study both universal and non-universal simulations of random variables with an arbitrary target distribution by ge…