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Titlebook: Entropy Measures, Maximum Entropy Principle and Emerging Applications; Karmeshu Book 2003 Springer-Verlag Berlin Heidelberg 2003 Applied I

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书目名称Entropy Measures, Maximum Entropy Principle and Emerging Applications
编辑Karmeshu
视频video
概述Festschrift by invited eminent scholars in the field of entropy measures and maximum entropy applications.Important contributions in the wide field of information technology, soft computing, and nonli
丛书名称Studies in Fuzziness and Soft Computing
图书封面Titlebook: Entropy Measures, Maximum Entropy Principle and Emerging Applications;  Karmeshu Book 2003 Springer-Verlag Berlin Heidelberg 2003 Applied I
描述The last two decades have witnessed an enormous growth with regard to ap­ plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. In particular, growth has been spectac­ ular in the field of information technology,soft computing,nonlinear systems and molecular biology. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory. It is in­ deed remarkable that his framework is as relevant today as was when he 1 proposed it. Shannon died on Feb 24, 2001. Arun Netravali observes "As if assuming that inexpensive, high-speed processing would come to pass, Shan­ non figured out the upper limits on communication rates. First in telephone channels, then in optical communications, and now in wireless, Shannon has had the utmost value in defining the engineering limits we face". Shannon introduced the concept of entropy. The notable feature of the entropy frame­ work is that it enables quantification of uncertainty present in a system. In many realistic situations one is confronted only with partial or incomplete information in the form of moment, or bounds on these values e
出版日期Book 2003
关键词Applied Information Theory; Entropy Optimization; Fuzzy; Information; Information Measures; Maximum Entro
版次1
doihttps://doi.org/10.1007/978-3-540-36212-8
isbn_softcover978-3-642-05531-7
isbn_ebook978-3-540-36212-8Series ISSN 1434-9922 Series E-ISSN 1860-0808
issn_series 1434-9922
copyrightSpringer-Verlag Berlin Heidelberg 2003
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Application of the Maximum (Information) Entropy Principle to Stochastic Processes far from Thermale process is Markovian. From the propagator, the Fokker-Planck equation can be derived. The Lagrange parameters that are used in the maximum information entropy principle can be derived by minimizing the Kullback information.
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Geometric Ideas in Minimum Cross-Entropy,e first approach is to regard the method as a projection based on an analogue of Pythagoras’ Theorem. The second is to regard the set of probability distributions as a differentiable manifold and to introduce a Riemannian geometry on this manifold. The third uses the idea of Hausdorff dimension to s
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Minimum Mean Deviation from the Steady-State Condition in Queueing Theory, probability distributions for the number of arrivals, interarrival time, or/and service time by minimizing the mean chi-square deviation from the corresponding steady-state probability distributions subject to given constraints represented by generalized moments or generalized mixed moments induced
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