On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences
From MaRDI portal
Publication:5281201
DOI10.1109/TIT.2010.2068710zbMath1366.94185OpenAlexW2112939491MaRDI QIDQ5281201
Publication date: 27 July 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tit.2010.2068710
Inequalities; stochastic orderings (60E15) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)
Related Items (19)
Bounds of the Pinsker and Fannes types on the Tsallis relative entropy ⋮ A remainder term for Hölder's inequality for matrices and quantum entropy inequalities ⋮ On the equivalence of statistical distances for isotropic convex measures ⋮ Scalable information inequalities for uncertainty quantification ⋮ The Augustin capacity and center ⋮ On the maximum values of \(f\)-divergence and Rényi divergence under a given variational distance ⋮ A historical perspective on Schützenberger-Pinsker inequalities ⋮ Different quantum f-divergences and the reversibility of quantum operations ⋮ Generalization of the Kullback-Leibler divergence in the Tsallis statistics ⋮ Rényi divergence and the central limit theorem ⋮ The minimum increment of f-divergences given total variation distances ⋮ On quantum conditional entropies defined in terms of the \(F\)-divergences ⋮ The \(f\)-divergence and coupling of probability distributions ⋮ How the type of convexity of the core function affects the Csiszár f-divergence functional ⋮ Exponential decay of Rényi divergence under Fokker-Planck equations ⋮ Comparison of contraction coefficients for \(f\)-divergences ⋮ On the robustness of randomized classifiers to adversarial examples ⋮ Common Information, Noise Stability, and Their Extensions ⋮ Pinsker inequalities and related Monge-Ampere equations for log-concave functions
This page was built for publication: On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences
