Original title:
Beyond the MaxEnt Principle: Bayes, Fourier, Zipf and Spirals in Metamorphoses
Authors:
Gottvald, Aleš Document type: Papers Conference/Event: Energy and Information in Non-linear Systems /4./, Brno (CZ), 2000-11-10 / 2000-11-12
Year:
2001
Language:
eng Abstract:
A radical solution is offered to clarify an obscure relationship between the Maximum Entropy Principle (MaxEnt) and Bayesian Probability Theory (BPT). The logical consistency of MaxEnt and BPT is guaranteed by definition in our theory. Close links between the MaxEnt and Fourier Transform are emphasized. Reproducibility is being recognized as the fundamental precondition of the MaxEnt-formalism. Consequently, it is proposed that the MaxEnt principle manifests itself in terms of Spiral Geometries, Zipf's law, Power laws, Fractals, and many other ubiquitous reproducible phenomena.
Keywords:
bayesan probability theory; maximum entropy principle; reproducibility Project no.: CEZ:AV0Z2065902 (CEP) Host item entry: Proceedings of the 4rd Japan-Central Europe Joint Workshop on Energy and Information in Non-linear Systems Note: Související webová stránka: mailto:gott@isibrno.cz
Institution: Institute of Scientific Instruments AS ČR
(web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0100995