4 citations · 10 across the 9 of their papers we have counts for
11 papers
Cache-Aided Linear Function Computation
Xiaohong Cai, Ruze Zhang, Laigang Guo +1
We study cache-aided linear computation in distributed systems where each source generates and stores its own data. An external receiver requests a linear combination of these data…
Chordal Codes: Code Construction and Efficient Gaussian-Elimination Decoding
Yulin Chen, Laigang Guo, Tong Li +1
Maximum-likelihood decoding of linear codes over erasure channels can be considered as solving a linear system of a column submatrix of the parity-check matrix. In practice, Gaussi…
An Algebraic Method for Full-Rank Characterization in Binary Linear Coding
Mingyang Zhu, Laigang Guo, Zhenyu Huang +4
In this paper, we develop a characteristic set (CS)-based method for deriving full-rank equivalence conditions of symbolic matrices over the binary field. Such full-rank conditions…
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…
Proving Information Inequalities by Gaussian Elimination
Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao
The proof of information inequalities and identities under linear constraints on the information measures is an important problem in information theory. For this purpose, ITIP and…
Sliding Secure Symmetric Multilevel Diversity Coding
Tao Guo, Laigang Guo, Yinfei Xu +3
Symmetric multilevel diversity coding (SMDC) is a source coding problem where the independent sources are ordered according to their importance. It was shown that separately encodi…
On the Complete Monotonicity of Rényi Entropy
Hao Wu, Lei Yu, Laigang Guo
In this paper, we investigate the complete monotonicity of Rényi entropy along the heat flow. We confirm this property for the order of derivative up to , when the order of Rény…
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…
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…