Algorithmic analysis of irrational rotations in a single neuron model

DOI10.1016/S0885-064X(02)00017-1zbMath1012.68091MaRDI QIDQ1869962

Hayato Takahashi, Kazuyuki Aihara

Publication date: 4 May 2003

Published in: Journal of Complexity (Search for Journal in Brave)

zbMATH Keywords

algorithmic information theoryBayesKolmogorov complexityirrational rotationcodecomputabilitysequenceSturmianSymbolic dynamicsMDL codeNagumo-Sato modelsingle neuron model

Mathematics Subject Classification ID

Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30)

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Cites Work

• Statistical problems related to irrational rotations
• Dynamics of Caianiello's equation
• Random generation of finite Sturmian words
• Some Remarks on the Foundations of Numerical Analysis
• Universal coding, information, prediction, and estimation
• A Theory of Program Size Formally Identical to Information Theory
• Some equivalences between Shannon entropy and Kolmogorov complexity
• The continued fraction expansion of α with μ(α) = 3
• Global searching ability of chaotic neural networks
• A variant of the Kolmogorov concept of complexity
• THE COMPLEXITY OF FINITE OBJECTS AND THE DEVELOPMENT OF THE CONCEPTS OF INFORMATION AND RANDOMNESS BY MEANS OF THE THEORY OF ALGORITHMS
• On a response characteristic of a mathematical neuron model
• A formal theory of inductive inference. Part II
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