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Titlebook: Dynamic Systems Models; New Methods of Param Josif A. Boguslavskiy,Mark Borodovsky Book 2016 Springer International Publishing Switzerland

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发表于 2025-3-21 19:54:51 | 显示全部楼层 |阅读模式
书目名称Dynamic Systems Models
副标题New Methods of Param
编辑Josif A. Boguslavskiy,Mark Borodovsky
视频video
概述Lays down a new method of solving inverse problems equations with weaker requirements than existing methods.Reinforces basic principles and demonstrates methodical efficiency using non-trivial applied
图书封面Titlebook: Dynamic Systems Models; New Methods of Param Josif A. Boguslavskiy,Mark Borodovsky Book 2016 Springer International Publishing Switzerland
描述This monograph is an exposition of a novel method for solving inverse problems, a method of parameter estimation for time series data collected from simulations of real experiments. These time series might be generated by measuring the dynamics of aircraft in flight, by the function of a hidden Markov model used in bioinformatics or speech recognition or when analyzing the dynamics of asset pricing provided by the nonlinear models of financial mathematics..Dynamic Systems Models demonstrates the use of algorithms based on polynomial approximation which have weaker requirements than already-popular iterative methods. Specifically, they do not require a first approximation of a root vector and they allow non-differentiable elements in the vector functions being approximated. .The text covers all the points necessary for the understanding and use of polynomial approximation from the mathematical fundamentals, through algorithm development to the application of the method in, for instance, aeroplane flight dynamics or biological sequence analysis. The technical material is illustrated by the use of worked examples and methods for training the algorithms are included..Dynamic Systems Mo
出版日期Book 2016
关键词Aerospatial Dynamics; Assest Pricing; Biological Sequence Analysis; Hidden Markov Model; Inverse Problem
版次1
doihttps://doi.org/10.1007/978-3-319-04036-3
isbn_softcover978-3-319-79141-8
isbn_ebook978-3-319-04036-3
copyrightSpringer International Publishing Switzerland 2016
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978-3-319-79141-8Springer International Publishing Switzerland 2016
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Josif A. Boguslavskiy,Mark BorodovskyLays down a new method of solving inverse problems equations with weaker requirements than existing methods.Reinforces basic principles and demonstrates methodical efficiency using non-trivial applied
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Linear Estimators of a Random Parameter Vector,components of the vector . of actual observations and from polynomial functions of these components; (2) a Bayes approach based on assignment of an a priori stochastic measure to a vector . of unknown parameters and to a vector . of basic observations.
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Polynomial Approximation and Optimization of Control,whose properties are well investigated. In such a case, there should, of course, be a constructive algorithm to define the coefficient of polynomials, and at an increasing power of polynomials, the convergence of a sequence of polynomials to an approximated function that is uniform on its field of definition should be guaranteed.
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Personale Psychologie und PsychotherapieThe estimation algorithm outlined in Chap. . can be constructively implemented if some a priori data are known.
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