Partition Function (Mathematics): Probability Theory, Normalizing Constant, Information Science - Tapa blanda

Partition Function (Mathematics)

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. The partitionfunction or configuration integral, as used in probability theoryinformation science and dynamical systems, is an abstraction of thedefinition of a partition function in statistical mechanics. It is aspecial case of a normalizing constant in probability theory, for theBoltzmann distribution. The partition function occurs in many problemsof probability theory because, in situations where there is a naturalsymmetry, its associated probability measure, the Gibbs measure, has theMarkov property. This means that the partition function occurs not onlyin physical systems with translation symmetry, but also in such variedsettings as neural networks (the Hopfield network), and applicationssuch as genomics, corpus linguistics and artificial intelligence, whichemploy Markov networks, and Markov logic networks. The Gibbs measure isalso the unique measure that has the property of maximizing the entropyfor a fixed expectation value of the energy; this underlies theappearance of the partition function in maximum entropy methods and thealgorithms derived therefrom.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 92 pp. Englisch. Nº de ref. del artículo: 9786131091438

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