Results 11 to 20 of about 9,955,680 (232)
Bounds on Extended f-Divergences for a Variety of Classes [PDF]
, 2003 The concept of f-divergences was introduced by Csiszár in 1963 as measures of the ’hardness’ of a testing problem depending on a convex real valued function f on the interval [0,∞).
Cerone, Pietro +2 more
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Some Inequalities for f-Divergence Measures Generated by 2n-Convex Functions [PDF]
, 2007 A double Jensen type inequality for 2n−convex functions is obtained and applied to establish upper and lower bounds for the f−divergence measure in Information Theory.
Dragomir, Sever S, Koumandos, Stamatis
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Moreau-Yosida $f$-divergences [PDF]
, 2021 Variational representations of $f$-divergences are central to many machine learning algorithms, with Lipschitz constrained variants recently gaining attention. Inspired by this, we define the Moreau-Yosida approximation of $f$-divergences with respect to
Terjék, Dávid
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On f-Divergences: Integral Representations, Local Behavior, and Inequalities. [PDF]
Entropy (Basel), 2018 This paper is focused on f-divergences, consisting of three main contributions. The first one introduces integral representations of a general f-divergence by means of the relative information spectrum.
Sason I.
europepmc +2 more sources
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
doaj +1 more source
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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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 Relations Between the Relative Entropy and χ2-Divergence, Generalizations and Applications
Entropy, 2020 The relative entropy and the chi-squared divergence are fundamental divergence measures in information theory and statistics. This paper is focused on a study of integral relations between the two divergences, the implications of these relations, their ...
Tomohiro Nishiyama, Igal Sason
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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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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 ...
Szokol, Patrícia Ágnes +2 more
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