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Relative Entropy in Biological Systems

open access: yesEntropy, 2016
In this paper we review various information-theoretic characterizations of the approach to equilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe the dynamics of ...
John C. Baez, Blake S. Pollard
doaj   +2 more sources

Entanglement entropy, relative entropy and duality

open access: yesJournal of High Energy Physics, 2019
A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction.
Upamanyu Moitra   +2 more
doaj   +1 more source

Chaos and relative entropy

open access: yesJournal of High Energy Physics, 2018
One characteristic feature of a chaotic system is the quick delocalization of quantum information (fast scrambling). One therefore expects that in such a system a state quickly becomes locally indistinguishable from its perturbations.
Yuya O. Nakagawa   +2 more
doaj   +1 more source

Relative Entropy Derivative Bounds

open access: yesEntropy, 2013
We show that the derivative of the relative entropy with respect to its parameters is lower and upper bounded. We characterize the conditions under which this derivative can reach zero.
Pablo Zegers   +2 more
doaj   +1 more source

Parametric Bayesian Estimation of Differential Entropy and Relative Entropy

open access: yesEntropy, 2010
Given iid samples drawn from a distribution with known parametric form, we propose the minimization of expected Bregman divergence to form Bayesian estimates of differential entropy and relative entropy, and derive such estimators for the uniform ...
Maya Gupta, Santosh Srivastava
doaj   +1 more source

Relative cluster entropy for power-law correlated sequences

open access: yesSciPost Physics, 2022
We propose an information-theoretical measure, the \textit{relative cluster entropy} $\mathcal{D_{C}}[P \| Q] $, to discriminate among cluster partitions characterised by probability distribution functions $P$ and $Q$.
Anna Carbone, Linda Ponta
doaj   +1 more source

The improved relative entropy for face recognition

open access: yesMATEC Web of Conferences, 2016
The relative entropy is least sensitive to noise. In this paper, we propose the improved relative entropy for face recognition (IRE). The IRE method of recognition rate is far higher than the LDA, LPP method, by experimental results on CMU PIE face ...
Zhang Qi Rong, Zhang Ji Yan, Wang Yan
doaj   +1 more source

A Novel Distance Metric: Generalized Relative Entropy

open access: yesEntropy, 2017
Information entropy and its extension, which are important generalizations of entropy, are currently applied to many research domains. In this paper, a novel generalized relative entropy is constructed to avoid some defects of traditional relative ...
Shuai Liu   +3 more
doaj   +1 more source

Meta-inverse Reinforcement Learning Method Based on Relative Entropy [PDF]

open access: yesJisuanji kexue, 2021
Aiming at the problem that traditional inverse reinforcement learning algorithms are slow,imprecise,or even unsolvable when solving the reward function owing to insufficient expert demonstration samples and unknown state transition probabilitie,a meta ...
WU Shao-bo, FU Qi-ming, CHEN Jian-ping, WU Hong-jie, LU You
doaj   +1 more source

Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
‎In the context of observers‎, ‎any mathematical model according to the viewpoint of an observer $ \Theta $ is called a relative model‎. ‎The purpose of the present paper is to study the relative model of logical entropy‎. ‎Given an observer $ \Theta $‎,
Uosef Mohammadi
doaj   +1 more source

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