Properties of the statistical complexity functional and partially deterministic HMMs

DOI10.3390/e110300385zbMath1179.82099OpenAlexW2046755574MaRDI QIDQ845416

Wolfgang Löhr

Publication date: 29 January 2010

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e110300385

zbMATH Keywords

concavityergodic decompositionstatistical complexitylower semi-continuityprediction processpartially deterministic hidden Markov models (HMMs)

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (7)

Statistical signatures of structural organization: the case of long memory in renewal processes ⋮ Process Dimension of Classical and Non-Commutative Processes ⋮ Information anatomy of stochastic equilibria ⋮ Predictive rate-distortion for infinite-order Markov processes ⋮ Informational and causal architecture of continuous-time renewal processes ⋮ On hidden Markov processes with infinite excess entropy ⋮ Predictive models and generative complexity

Cites Work

• On the category of ergodic measures
• How should complexity scale with system size?
• A general definition of conditional information and its application to ergodic decomposition
• A predictive view of continuous time processes
• Reductions of hidden information sources
• ON THE GENERATIVE NATURE OF PREDICTION
• Computational mechanics: pattern and prediction, structure and simplicity.
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