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A Finite-Entropy Criterion for the Entropic Conditional Central Limit Theorem
Tong Ye, Liu-Quan Yao, Shuai Yuan +1
We prove a finite-entropy criterion for the entropic conditional central limit theorem. Let be independent copies of a pair , and set $W_n=n^{-1/2}\sum…
New Upper bounds for KL-divergence Based on Integral Norms
Liuquan Yao, Songhao Liu
In this paper, some new upper bounds for Kullback-Leibler divergence(KL-divergence) based on and norms of density functions are discussed. Our findings unveil…
Entropy Jump and Entropic Central Limit Theorem for Independent Sum
Liuquan Yao, Shuai Yuan
It is a manuscript for results about entropic central limit theorem for independent sum under finite Poincaré constant conditions.
Entropic Conditional Central Limit Theorem and Hadamard Compression
Zhi-Ming Ma, Liu-Quan Yao, Shuai Yuan +1
We make use of an entropic property to establish a convergence theorem (Main Theorem), which reveals that the conditional entropy measures the asymptotic Gaussianity. As an applica…