Results 1 to 10 of about 218 (118)
Majorization, Csiszár divergence and Zipf-Mandelbrot law [PDF]
Journal of Inequalities and Applications, 2017 In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities.
Naveed Latif +2 more
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Quantum Distance Measures Based upon Classical Symmetric Csiszár Divergences [PDF]
Entropy, 2023 We introduce a new family of quantum distances based on symmetric Csiszár divergences, a class of distinguishability measures that encompass the main dissimilarity measures between probability distributions.
Diego G. Bussandri, Tristán M. Osán
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Error Exponents and α-Mutual Information [PDF]
Entropy, 2021 Over the last six decades, the representation of error exponent functions for data transmission through noisy channels at rates below capacity has seen three distinct approaches: (1) Through Gallager’s E0 functions (with and without cost constraints); (2)
Sergio Verdú
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Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences [PDF]
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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Zipf–Mandelbrot law, f-divergences and the Jensen-type interpolating inequalities [PDF]
Journal of Inequalities and Applications, 2018 Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type inequalities, in this paper we integrate this approach with the well known Zipf–Mandelbrot law applied to various types of f-divergences and distances, such ...
Neda Lovričević +2 more
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Universal portfolios generated by rational functions [PDF]
ITM Web of Conferences, 2021 The f -divergence of Csiszar is defined for a non-negative convex function on the positive axis. A pseudo f -divergence can be defined for a convex function not satisfying the usual requirements.
Kuang Kee Seng +2 more
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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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Seeing Through the Mimicry of <i>Papilio bootes</i> by Combining Computer-Aided and Human Eyesight Morphological Comparisons. [PDF]
Ecol EvolThe study investigates Batesian mimicry between Papilio bootes and Byasa species in West China, revealing that different subspecies of P. bootes mimic Byasa species with varying hindwing spot patterns. Subspecies in the western range mimic four‐spotted Byasa species, while northeastern subspecies mimic spotless ones, with B.
Xie YR +6 more
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Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals [PDF]
Arab Journal of Mathematical Sciences, 2020 In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon entropy.
Khuram Ali Khan +3 more
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Advances in Difference Equations, 2021 Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in quantum calculus and
Iqrar Ansari +4 more
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