Results 31 to 40 of about 4,381,784 (312)
Tight Exponential Analysis for Smoothing the Max-Relative Entropy and for Quantum Privacy Amplification [PDF]
IEEE Transactions on Information Theory, 2021 The max-relative entropy together with its smoothed version is a basic tool in quantum information theory. In this paper, we derive the exact exponent for the asymptotic decay of the small modification of the quantum state in smoothing the max-relative ...
Ke Li, Yongsheng Yao, Masahito Hayashi
semanticscholar +1 more source
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 Regularized TDLAS Tomography for Robust Temperature Imaging [PDF]
IEEE Transactions on Instrumentation and Measurement, 2020 Tunable diode laser absorption spectroscopy (TDLAS) tomography has been widely used for in situ combustion diagnostics, yielding images of both species concentration and temperature.
Yong Bao +6 more
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On a new generalized Tsallis relative operator entropy
Mathematics in Applied Sciences and Engineering, 2023 In this paper, we present a generalization of Tsallis relative operator entropy defined for positive operators and we investigate some related properties.
Lahcen Tarik +2 more
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Deep Clustering via Joint Convolutional Autoencoder Embedding and Relative Entropy Minimization [PDF]
IEEE International Conference on Computer Vision, 2017 In this paper, we propose a new clustering model, called DEeP Embedded Regularized ClusTering (DEPICT), which efficiently maps data into a discriminative embedding subspace and precisely predicts cluster assignments.
Kamran Ghasedi Dizaji +4 more
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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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Block Factorization of the Relative Entropy via Spatial Mixing [PDF]
Communications in Mathematical Physics, 2020 We consider spin systems in the d-dimensional lattice Zd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
P. Caputo, D. Parisi
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Relative entropy and holography [PDF]
Journal of High Energy Physics, 2013 Relative entropy between two states in the same Hilbert space is a fundamental statistical measure of the distance between these states. Relative entropy is always positive and increasing with the system size. Interestingly, for two states which are infinitesimally different to each other, vanishing of relative entropy gives a powerful equation $ S ...
Blanco, David Daniel +3 more
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Relative entropy equals bulk relative entropy
Journal of High Energy Physics, 2016 23 pages, 3 ...
Jafferis, Daniel +3 more
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Approximate Tensorization of the Relative Entropy for Noncommuting Conditional Expectations [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2020 In this paper, we derive a new generalisation of the strong subadditivity of the entropy to the setting of general conditional expectations onto arbitrary finite-dimensional von Neumann algebras.
I. Bardet, Á. Capel, Cambyse Rouzé
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