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cs.IT2022
Proving Information Inequalities and Identities with Symbolic Computation
Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao
Proving linear inequalities and identities of Shannon's information measures, possibly with linear constraints on the information measures, is an important problem in information t…
cs.IT2021
A Generalization of the Concavity of Rényi Entropy Powe
Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao
Recently, Savaré-Toscani proved that the Rényi entropy power of general probability densities solving the -nonlinear heat equation in is always a concave function…
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(…