Results 21 to 30 of about 25,145 (258)
A new refinement of Jensen’s inequality with applications in information theory
Open Mathematics, 2020 In this paper, we present a new refinement of Jensen’s inequality with applications in information theory. The refinement of Jensen’s inequality is obtained based on the general functional in the work of Popescu et al.
Xiao Lei, Lu Guoxiang
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Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
Journal of Inequalities and Applications, 2021 There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
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Imitation Learning as f-Divergence Minimization [PDF]
, 2021 International Workshop on the Algorithmic Foundations of Robotics (WAFR ...
Ke, Liyiming +5 more
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QUANTUM f-DIVERGENCES AND ERROR CORRECTION [PDF]
Reviews in Mathematical Physics, 2011 Quantum f-divergences are a quantum generalization of the classical notion of f-divergences, and are a special case of Petz' quasi-entropies. Many well-known distinguishability measures of quantum states are given by, or derived from, f-divergences. Special examples include the quantum relative entropy, the Rényi relative entropies, and the Chernoff ...
Hiai, F. +3 more
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Distances Based on the Perimeter of the Risk Set of a Testing Problem
Austrian Journal of Statistics, 2016 At the core of this paper is a simple geometric object, namely the risk set of a statistical testing problem on the one hand and f-divergences, which were introduced by Csiszár (1963) on the other hand.
Ferdinand Österreicher
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On a Generalization of the Jensen–Shannon Divergence and the Jensen–Shannon Centroid
Entropy, 2020 The Jensen−Shannon divergence is a renown bounded symmetrization of the Kullback−Leibler divergence which does not require probability densities to have matching supports. In this paper, we introduce a vector-skew generalization of the scalar
Frank Nielsen
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Different quantum f-divergences and the reversibility of quantum operations [PDF]
, 2017 The concept of classical $f$-divergences gives a unified framework to construct and study measures of dissimilarity of probability distributions; special cases include the relative entropy and the R\'enyi divergences.
Hiai, Fumio, Mosonyi, Milan
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Optimized Quantum F-Divergences [PDF]
2018 IEEE International Symposium on Information Theory (ISIT), 2018 5 pages; shortened, more accessible version of arXiv:1710.10252; making publicly available due to public access mandate of US National Science Foundation and flag on Google ...
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Maps on density operators preserving quantum f-divergences [PDF]
, 2013 For an arbitrary strictly convex function f defined on the non-negative real line we determine the structure of all transformations on the set of density operators which preserve the quantum f ...
D Petz +12 more
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Beyond Gauss: Image-Set Matching on the Riemannian Manifold of PDFs [PDF]
, 2015 State-of-the-art image-set matching techniques typically implicitly model each image-set with a Gaussian distribution. Here, we propose to go beyond these representations and model image-sets as probability distribution functions (PDFs) using kernel ...
Baktashmotlagh, Mahsa +2 more
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