8 citations · 44 across the 14 of their papers we have counts for
14 papers
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…
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…
New bounds and efficient algorithm for sparse difference resultant
Chun-Ming Yuan, Zhi-Yong Zhang
The sparse difference resultant introduced in \citep{gao-2015} is a basic concept in difference elimination theory. In this paper, we show that the sparse difference resultant of a…
Quantum Algorithm for Optimization and Polynomial System Solving over Finite Field and Application to Cryptanalysis
Yu-Ao Chen, Xiao-Shan Gao, Chun-Ming Yuan
In this paper, we give quantum algorithms for two fundamental computation problems: solving polynomial systems over finite fields and optimization where the arguments of the object…
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…