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cs.IT2020★ 2 cited
Lower Bound on Derivatives of Costa's Differential Entropy
Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao
Several conjectures concern the lower bound for the differential entropy of an -dimensional random vector introduced by Costa. Cheng and Geng conjectured that $H(…
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…