Results 31 to 40 of about 114,837 (257)
A Novel Distance Metric: Generalized Relative Entropy
Entropy, 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
CONTINUITY OF A CLASS OF ENTROPIES AND RELATIVE ENTROPIES [PDF]
Reviews in Mathematical Physics, 2004 The present paper studies continuity of generalized entropy functions and relative entropies defined using the notion of a deformed logarithmic function. In particular, two distinct definitions of relative entropy are discussed. As an application, all considered entropies are shown to satisfy Lesche's stability condition. The entropies of Tsallis' non-
openaire +3 more sources
Tsallis Relative Entropy and Anomalous Diffusion
Entropy, 2012 In this paper we utilize the Tsallis relative entropy, a generalization of the Kullback–Leibler entropy in the frame work of non-extensive thermodynamics to analyze the properties of anomalous diffusion processes.
Karl Heinz Hoffmann +2 more
doaj +1 more source
Meta-inverse Reinforcement Learning Method Based on Relative Entropy [PDF]
Jisuanji 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
Modular energy inequalities from relative entropy
Journal of High Energy Physics, 2018 We obtain new constraints for the modular energy of general states by using the monotonicity property of relative entropy. In some cases, modular energy can be related to the energy density of states and these constraints lead to interesting relations ...
David Blanco +3 more
doaj +1 more source
Quantum Entropy and Special Relativity [PDF]
Physical Review Letters, 2002 We consider a single free spin 1/2 particle. The reduced density matrix for its spin is not covariant under Lorentz transformations. The spin entropy is not a relativistic scalar and has no invariant meaning.
Peres, Asher +2 more
openaire +3 more sources
Telescopic Relative Entropy [PDF]
, 2014 We introduce the telescopic relative entropy (TRE), which is a new regularisation of the relative entropy related to smoothing, to overcome the problem that the relative entropy between pure states is either zero or infinity and therefore useless as a distance measure in this case.
openaire +2 more sources
Gibbs–Jaynes Entropy Versus Relative Entropy
Journal of Statistical Physics, 2014 The maximum entropy formalism developed by Jaynes determines the relevant ensemble in nonequilibrium statistical mechanics by maximising the entropy functional subject to the constraints imposed by the available information. We present an alternative derivation of the relevant ensemble based on the Kullback-Leibler divergence from equilibrium.
Meléndez, M., Español, P.
openaire +3 more sources
A Dissipation of Relative Entropy by Diffusion Flows
Entropy, 2016 Given a probability measure, we consider the diffusion flows of probability measures associated with the partial differential equation (PDE) of Fokker–Planck. Our flows of the probability measures are defined as the solution of the Fokker–Planck equation
Hiroaki Yoshida
doaj +1 more source
Quantitative evaluation of eddy current distribution by relative entropy and cross entropy
Measurement + Control, 2021 Koch curve exciting coil of an eddy current probe can adjust the eddy current distributing in more directions at a small domain to enhance the sensitivity of eddy current probe for short defect detection.
Guolong Chen, Zheng Cao
doaj +1 more source