3 papers
cs.IT2026
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…
math.PR2024
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…
math.PR2024
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…