3 citations · 5 across the 2 of their papers we have counts for
4 papers
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(…
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…
Toric Difference Variety
Xiao-Shan Gao, Zhang Huang, Jie Wang +1
In this paper, the concept of toric difference varieties is defined and four equivalent descriptions for toric difference varieties are presented in terms of difference rational pa…
Binomial Difference Ideals
Xiao-Shan Gao, Zhang Huang, Chun-Ming Yuan
In this paper, binomial difference ideals are studied. Three canonical representations for Laurent binomial difference ideals are given in terms of the reduced Groebner basis of Z[…