Results 21 to 30 of about 25,362 (278)
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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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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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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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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Blind Deconvolution of Seismic Data Using f-Divergences
Entropy, 2011 This paper proposes a new approach to the seismic blind deconvolution problem in the case of band-limited seismic data characterized by low dominant frequency and short data records, based on Csiszár’s f-divergence.
Bing Zhang, Jing-Huai Gao
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NLO fragmentation functions for a quark into a spin-singlet quarkonium: same flavor case
Journal of High Energy Physics, 2021 In the paper, we calculate the fragmentation functions for c → η c and b → η b up to next-to-leading-order (NLO) QCD accuracy. The ultraviolet divergences in the real corrections are removed through operator renormalization under the modified min- imal ...
Xu-Chang Zheng +2 more
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