Results 11 to 20 of about 7,533,665 (302)
A New Information-Theoretical Distance Measure for Evaluating Community Detection Algorithms [PDF]
Journal of Universal Computer Science, 2019 Community detection is a research area from network science dealing with the investigation of complex networks such as social or biological networks, aiming to identify subgroups (communities) of entities (nodes) that are more closely related to each ...
Mariam Haroutunian +2 more
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Joint range of f-divergences [PDF]
2010 IEEE International Symposium on Information Theory, 2010 We provide a general method for evaluation of the joint range of f-divergences for two different functions f. Via topological arguments we prove that the joint range for general distributions equals the convex hull of the joint range achieved by the distributions on a two-element set.
Peter Harremoës, Igor Vajda
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IEEE Transactions on Information Theory, 2016 IEEE Trans. on Information Theory, vol. 62, no. 11, pp. 5973--6006, November 2016. This manuscript is identical to the journal paper, apart of some additional material which includes Sections III-C and IV-F, and three technical ...
Igal Sason, Sergio Verdú
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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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Reviews in Mathematical Physics, 2023 The main result in this paper shows that the quantum [Formula: see text]-divergence of two states is equal to the classical [Formula: see text]-divergence of the corresponding Nussbaum–Szkoła distributions. This provides a general framework for studying certain properties of quantum entropic quantities using the corresponding classical entities.
Androulakis, George, John, Tiju Cherian
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Imitation Learning as f-Divergence Minimization [PDF]
, 2021 International Workshop on the Algorithmic Foundations of Robotics (WAFR ...
Liyiming Ke +5 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 ...
Szokol, Patrícia Ágnes +2 more
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