Maximum entropy on compact groups

DOI10.3390/e11020222zbMath1179.94046arXiv0901.0015OpenAlexW2062354520MaRDI QIDQ845405

Peter Harremoës

Publication date: 29 January 2010

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0015

zbMATH Keywords

symmetryrate of convergenceconvolutionmaximum entropyHaar measurecompact groupinformation divergencerate distortion function

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Rate-distortion theory in information and communication theory (94A34)

Related Items (2)

Entropy-based wavelet de-noising method for time series analysis ⋮ On a connection between information and group lattices

Cites Work

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• Sanov property, generalized I-projection and a conditional limit theorem
• Convergence of Markov chains in information divergence
• Entropy and convergence on compact groups
• Maximum entropy fundamentals
• Der Maßbegriff in der Theorie der kontinuierlichen Gruppen
• Game theory, maximum entropy, minimum discrepancy and robust Bayesian decision theory
• Information Theory and Statistical Mechanics
• Extremal properties of rate distortion functions
• Limit Theorems of Probability Theory for Compact Topological Groups
• On the rate distortion function of sources with incomplete statistics
• Probability Theory
• Refinements of Pinsker's inequality

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