2 papers
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…
cs.IT2025
Entropic Isoperimetric and Cramér--Rao Inequalities for Rényi--Fisher Information
Hao Wu, Lei Yu
The de Bruijn identity states that Fisher information is equal to a half of the time-derivative of Shannon differential entropy along heat flow. In the same spirit, a generalized v…