Lyapunov-Meyer functions and distance measure from generalized Fisher's equations
| Autor: | Y. A. Pykh |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Differential entropy
Generalized relative entropy Kullback–Leibler divergence Control and Systems Engineering Principle of maximum entropy Maximum entropy probability distribution Mathematical analysis Maximum entropy thermodynamics Applied mathematics Quantum relative entropy Joint quantum entropy Mathematics |
| Zdroj: | IFAC-PapersOnLine. 48:115-119 |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2015.09.169 |
| Popis: | The main goal of this report is to do the next step in the investigation of generalized Fisher's (replicator) equations. Recently Lyapunov-Meyer function was constructed by the author for above equation as relative entropy. In this paper we prove that negative relative entropy is a convex function for a probability space and receive new distance measure between two probability distributions. Also we use Legendre-Donkin-Fenchel transformation for dual coordinates. In particular it follows from these cross-disciplinary issue that nonlinear pairwise interactions is the origin of all known entropy functions. |
| Databáze: | OpenAIRE |
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