3 papers
cs.IT2026
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…
math.PR2026
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…
cs.IT2025
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 Ré…