7 citations · 10 across the 8 of their papers we have counts for
6 papers · 1 filter
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.…
Exact Channel Synthesis
Lei Yu, Vincent Y. F. Tan
We consider the exact channel synthesis problem. This problem concerns the determination of the minimum amount of information required to create exact correlation remotely when the…
Corrections to "Wyner's Common Information under Rényi Divergence Measures"
Lei Yu, Vincent Y. F. Tan
In this correspondence, we correct an erroneous result on the achievability part of the Rényi common information with order in [1]. The new achievability result (uppe…
On Exact and -Rényi Common Informations
Lei Yu, Vincent Y. F. Tan
Recently, two extensions of Wyner's common information\textemdash exact and Rényi common informations\textemdash were introduced respectively by Kumar, Li, and El Gamal (KLE), and…
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…
Simulation of Random Variables under Rényi Divergence Measures of All Orders
Lei Yu, Vincent Y. F. Tan
The random variable simulation problem consists in using a -dimensional i.i.d. random vector with distribution to simulate an -dimensional i.i.d. random v…