Results 21 to 30 of about 3,054,956 (233)
Relative entropy and catalytic relative majorization
Physical Review Research, 2020 Given two pairs of quantum states, a fundamental question in the resource theory of asymmetric distinguishability is whether there exists a quantum channel converting one pair to the other.
Soorya Rethinasamy, Mark M. Wilde
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Training Autoencoders Using Relative Entropy Constraints
Applied Sciences, 2022 Autoencoders are widely used for dimensionality reduction and feature extraction. The backpropagation algorithm for training the parameters of the autoencoder model suffers from problems such as slow convergence.
Yanjun Li, Yongquan Yan
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Fractal and Fractional, 2023 Mean relative entropy has a wide range of applications in measuring information differences. However, relative entropy is difficult to approximate from empirical distribution entropy.
Keqiang Dong, Shushu Li
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Relative entropy in diffusive relaxation [PDF]
, 2012 We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum.
Tzavaras, Athanasios E. +1 more
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An Inequality for Logarithmic Mapping and Applications for the Relative Entropy [PDF]
, 2000 Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean inequality, we point out an analytic inequality for the logarithmic map and apply it for the Kullback-Leibler distance in Information Theory.
Dragomir, Sever S
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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
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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
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Quantum conditional relative entropy and quasi-factorization of the relative entropy [PDF]
, 2018 The existence of a positive log-Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation.
Pérez García, David +3 more
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New Inequalities for Convex Functions with Applications for the N-Entropy of a Discrete Random Variable [PDF]
, 1999 New inequalities for convex mappings of a real variable and applications in Information Theory for Shannon's entropy are ...
Dragomir, Sever S
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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
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