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Some inequalities related to Csiszár divergence via diamond integral on time scales
Journal of Inequalities and Applications, 2023 In this paper, Csiszár f-divergence via diamond integral is introduced and some inequalities related to Csiszár f-divergence involving diamond integrals are presented.
Muhammad Bilal +3 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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Robust Multiple Importance Sampling with Tsallis φ-Divergences
Entropy, 2022 Multiple Importance Sampling (MIS) combines the probability density functions (pdf) of several sampling techniques. The combination weights depend on the proportion of samples used for the particular techniques.
Mateu Sbert, László Szirmay-Kalos
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Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences
Entropy, 2021 In this paper, we introduce new divergences called Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal in relation to convex functions. Some theorems, which give the lower and upper bounds for two new introduced divergences, are provided.
Paweł A. Kluza
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On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means
Entropy, 2019 The Jensen–Shannon divergence is a renowned bounded symmetrization of the unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler divergence to the average mixture distribution.
Frank Nielsen
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Exploring clade differentiation of the Faecalibacterium prausnitzii complex
iScience, 2022 Summary: Faecalibacterium prausnitzii is one of the most prevalent and abundant polyphyletic health-promoting components of the human gut microbiome with a propensity for dysbiotic decreases.
Marco Fabbrini +4 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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About the sharpness of the Jensen inequality
Journal of Inequalities and Applications, 2018 The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not ...
Ðilda Pečarić +2 more
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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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Entropy, 2020 We consider a sub-class of the f-divergences satisfying a stronger convexity property, which we refer to as strongly convex, or κ-convex divergences. We derive new and old relationships, based on convexity arguments, between popular f-divergences.
James Melbourne
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