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The relative entropy and chi-squared divergence are fundamental divergence measures in information theory and statistics.
1907
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1966
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1988
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1993
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1996
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1997
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J. E. Cohen, J. H. B. Kemperman and Gh. Zbăganu, Comparison of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population Sciences
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2014
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2014
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K. Marton, “Distance-divergence inequalities,” IEEE Information Theory Society Newsletter
2014
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2014
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2014
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1998
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I. Csiszár, “The method of types,” IEEE Transactions on Information Theory
1998
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C. Knessl, “Integral representations and asymptotic expansions for Shannon and Rényi entropies,” Applied Mathematical Letters
1998
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F. Topsøe, “Some inequalities for information divergence and related measures of discrimination,” IEEE Transactions on Information Theory
2000
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L. Györfi and I. Vajda, “A class of modified Pearson and Neyman statistics,” Statistics and Decisions
2001
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A. L. Gibbs and F. E. Su, “On choosing and bounding probability metrics,” International Statistical Review
2002
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M. C. Pardo and I. Vajda, “On asymptotic properties of information-theoretic divergences,” IEEE Transactions on Information Theory
2003
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I. Csiszár and P. C. Shields, “Information Theory and Statistics: A Tutorial”, Foundations and Trends in Communications and Information Theory
2004
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A. Makur and L. Zheng, “Bounds between contraction coefficients,” Proceedings of the 53rd Annual Allerton Conference on Communication, Control and Computing
2015
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M. Raginsky, “Strong data processing inequalities and Φ \Phi -Sobolev inequalities for discrete channels,” IEEE Transactions on Information Theory
2016
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I. Sason and S. Verdú, “ f f -divergence inequalities,” IEEE Transactions on Information Theory
2016
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Y. Polyanskiy and Y. Wu, “Strong data processing inequalities for channels and Bayesian networks,” Convexity and Concentration
2017
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A. Makur and Y. Polyanskiy, “Comparison of channels: criteria for domination by a symmetric channel,” IEEE Transactions on Information Theory
2018
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M. Raginsky and I. Sason, “Concentration of Measure Inequalities in Information Theory, Communications and Coding: Third Edition,” Foundations and Trends in Communications and Information Theory
2018
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I. Sason, “On Csiszár’s f f -divergences and informativities with applications,” Workshop on Channels, Statistics, Information, Secrecy and Randomness
2018
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I. Sason, “On f f -divergences: integral representations, local behavior, and inequalities,” Entropy
2018
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M. Asadi, N. Ebrahimi, O, Karazmi and E. S. Soofi, “Mixture models, Bayes Fisher information, and divergence measures,” IEEE Transactions on Information Theory
2019
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A. Makur, Information Contraction and Decomposition
2019
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J. Melbourne, M. Madiman and M. V. Salapaka, “Relationships between certain f f -divergences,” Proceedings of the 57th Annual Allerton Conference on Communication, Control and Computing
2019
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I. Sason, “On data-processing and majorization inequalities for f f -divergences with applications,” Entropy
2019
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2020
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N. Merhav and I. Sason, “An integral representation of the logarithmic function with applications in information theory,” Entropy
2020
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F. Nielsen, “On a generalization of the Jensen–Shannon divergence and the Jensen–Shannon centroids,” Entropy
2020
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