14 citations · 63 across the 32 of their papers we have counts for
32 papers
Exact Common Information and Exact Channel Synthesis for Correlated Discrete Sources
Lei Yu
In this paper, we provide a single-letter characterization of the exact common information for a pair of correlated discrete sources, as well as a single-letter characterization of…
Exact Common Information and Exact Channel Synthesis for Correlated Gaussian Sources
Lei Yu
In this paper, we resolve two conjectures posed by Yu and Tan in 2020 (in two separate papers published in the IEEE Trans. Inf. Theory). Specifically, we establish that: 1) the exa…
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…
Gray--Wyner and Mutual Information Regions for Doubly Symmetric Binary Sources and Gaussian Sources
Lei Yu
Nonconvex optimization plays a key role in multi-user information theory and related fields, but it is usually difficult to solve. The rate region of the Gray--Wyner source coding…
Dimension-Free Bounds for the Union-Closed Sets Conjecture
Lei Yu
The union-closed sets conjecture states that in any nonempty union-closed family of subsets of a finite set, there exists an element contained in at least a proportio…
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…