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math.PR2024
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…
math.PR2024
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…