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math.PR2026
Characterizations of Conditional Mutual Independence: Equivalence and Implication
Laigang Guo, Raymond W. Yeung, Tao Guo
Conditional independence, and more generally conditional mutual independence, are central notions in probability theory. In their general forms, they include functional dependence…
math.PR2020★ 3 cited
Prove Costa's Entropy Power Inequality and High Order Inequality for Differential Entropy with Semidefinite Programming
Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao
Costa's entropy power inequality is an important generalization of Shannon's entropy power inequality. Related with Costa's entropy power inequality and a conjecture proposed by Mc…