Complexity through nonextensivity

DOI10.1016/S0378-4371(01)00444-7zbMath0979.37042arXivphysics/0103076OpenAlexW3102564925WikidataQ60453020 ScholiaQ60453020MaRDI QIDQ5951423

William Bialek, Ilya Nemenman, Naftali Tishby

Publication date: 6 January 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0103076

zbMATH Keywords

entropyinformation theorystatistical mechanics

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) Time series analysis of dynamical systems (37M10) Measures of information, entropy (94A17)

Related Items (9)

Co-evolutionary mechanisms of emotional bursts in online social dynamics and networks ⋮ Optimal guessing under nonextensive framework and associated moment bounds ⋮ Predictive information in a nonequilibrium critical model ⋮ On hidden Markov processes with infinite excess entropy ⋮ Transition matrix analysis of earthquake magnitude sequences ⋮ Entropy embedding and fluctuation analysis in genomic manifolds ⋮ Excess entropy in natural language: Present state and perspectives ⋮ Natural complexity, computational complexity and depth ⋮ Local entropy and structure in a two-dimensional frustrated system

Cites Work

• A Mathematical Theory of Communication
• Toward a quantitative theory of self-generated complexity
• Predictability, Complexity, and Learning
• Statistical Inference, Occam's Razor, and Statistical Mechanics on the Space of Probability Distributions
• Prediction and Entropy of Printed English
• Field Theories for Learning Probability Distributions
• Entropy estimation of symbol sequences
• Fisher information and stochastic complexity
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