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cs.IT2026
Entropy Functions on Two-Dimensional Faces of Polymatroidal Region of Degree Four: Part II: Information Theoretic Constraints Breed New Combinatorial Structures
Shaocheng Liu, Qi Chen, Minquan Cheng
Characterization of entropy functions is of fundamental importance in information theory. By imposing constraints on their Shannon outer bound, i.e., the polymatroidal region, one…
cs.IT2025
Entropy Functions on Two-Dimensional Faces of Polymatroidal Region of Degree Four: Part I: Problem Formulation and More
Shaocheng Liu, Qi Chen
Characterization of entropy functions is of fundamental importance in information theory. By imposing constraints on their Shannon outer bound, i.e., the polymatroidal region, one…
cs.IT2024
Symmetric Entropy Regions of Degrees Six and Seven
Zihan Li, Shaocheng Liu, Qi Chen
In this paper, we classify all G-symmetric almost entropic regions according to their Shannon-tightness, that is, whether they can be fully characterized by Shannon-type inequaliti…