Random Fields Analysis And Synthesis

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Random Fields

Author : Erik Vanmarcke
Publisher : World Scientific
Page : 363 pages
File Size : 47,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9789812563538

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Random Fields by Erik Vanmarcke Pdf

Random variation is a fact of life that provides substance to a wide range of problems in the sciences, engineering, and economics. There is a growing need in diverse disciplines to model complex patterns of variation and interdependence using random fields, as both deterministic treatment and conventional statistics are often insufficient. An ideal random field model will capture key features of complex random phenomena in terms of a minimum number of physically meaningful and experimentally accessible parameters. This volume, a revised and expanded edition of an acclaimed book first published by the M I T Press, offers a synthesis of methods to describe and analyze and, where appropriate, predict and control random fields. There is much new material, covering both theory and applications, notably on a class of probability distributions derived from quantum mechanics, relevant to stochastic modeling in fields such as cosmology, biology and system reliability, and on discrete-unit or agent-based random processes.Random Fields is self-contained and unified in presentation. The first edition was found, in a review in EOS (American Geophysical Union) to be ?both technically interesting and a pleasure to read ? the presentation is clear and the book should be useful to almost anyone who uses random processes to solve problems in engineering or science ? and (there is) continued emphasis on describing the mathematics in physical terms.?

Random Fields

Author : Erik Vanmarcke
Publisher : Unknown
Page : 363 pages
File Size : 48,8 Mb
Release : 2009
Category : Electronic books
ISBN : 9814307599

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Random Fields by Erik Vanmarcke Pdf

Random Fields

Author : Erik Vanmarcke
Publisher : World Scientific Publishing Company
Page : 364 pages
File Size : 43,8 Mb
Release : 2010-07-21
Category : Mathematics
ISBN : 9789813101999

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Random Fields by Erik Vanmarcke Pdf

Random variation is a fact of life that provides substance to a wide range of problems in the sciences, engineering, and economics. There is a growing need in diverse disciplines to model complex patterns of variation and interdependence using random fields, as both deterministic treatment and conventional statistics are often insufficient. An ideal random field model will capture key features of complex random phenomena in terms of a minimum number of physically meaningful and experimentally accessible parameters. This volume, a revised and expanded edition of an acclaimed book first published by the M I T Press, offers a synthesis of methods to describe and analyze and, where appropriate, predict and control random fields. There is much new material, covering both theory and applications, notably on a class of probability distributions derived from quantum mechanics, relevant to stochastic modeling in fields such as cosmology, biology and system reliability, and on discrete-unit or agent-based random processes. Random Fields is self-contained and unified in presentation. The first edition was found, in a review in EOS (American Geophysical Union) to be “both technically interesting and a pleasure to read … the presentation is clear and the book should be useful to almost anyone who uses random processes to solve problems in engineering or science … and (there is) continued emphasis on describing the mathematics in physical terms.”

Statistical Analysis of Random Fields

Author : A.A. Ivanov,Nicolai Leonenko
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400911833

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Statistical Analysis of Random Fields by A.A. Ivanov,Nicolai Leonenko Pdf

'Et moi ... - si j'avait su comment en revcnir. One service mathematics has rendered the je n'y scrais point aile.' human race. It has put common sense back where it belongs, on the topmost shclf next Jules Verne to the dusty canister labdlcd 'discarded non· The series is divergent; therefore we may be sense'. able to do something with it Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Gaussian Markov Random Fields

Author : Havard Rue,Leonhard Held
Publisher : CRC Press
Page : 280 pages
File Size : 45,5 Mb
Release : 2005-02-18
Category : Mathematics
ISBN : 9780203492024

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Gaussian Markov Random Fields by Havard Rue,Leonhard Held Pdf

Gaussian Markov Random Field (GMRF) models are most widely used in spatial statistics - a very active area of research in which few up-to-date reference works are available. This is the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects. This book includes extensive case-studie

Image Analysis, Random Fields and Markov Chain Monte Carlo Methods

Author : Gerhard Winkler
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642557606

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Image Analysis, Random Fields and Markov Chain Monte Carlo Methods by Gerhard Winkler Pdf

"This book is concerned with a probabilistic approach for image analysis, mostly from the Bayesian point of view, and the important Markov chain Monte Carlo methods commonly used....This book will be useful, especially to researchers with a strong background in probability and an interest in image analysis. The author has presented the theory with rigor...he doesn’t neglect applications, providing numerous examples of applications to illustrate the theory." -- MATHEMATICAL REVIEWS

Random Fields and Stochastic Lagrangian Models

Author : Karl K. Sabelfeld,Nikolai A. Simonov
Publisher : Walter de Gruyter
Page : 416 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783110296815

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Random Fields and Stochastic Lagrangian Models by Karl K. Sabelfeld,Nikolai A. Simonov Pdf

The book presents advanced stochastic models and simulation methods for random flows and transport of particles by turbulent velocity fields and flows in porous media. Two main classes of models are constructed: (1) turbulent flows are modeled as synthetic random fields which have certain statistics and features mimicing those of turbulent fluid in the regime of interest, and (2) the models are constructed in the form of stochastic differential equations for stochastic Lagrangian trajectories of particles carried by turbulent flows. The book is written for mathematicians, physicists, and engineers studying processes associated with probabilistic interpretation, researchers in applied and computational mathematics, in environmental and engineering sciences dealing with turbulent transport and flows in porous media, as well as nucleation, coagulation, and chemical reaction analysis under fluctuation conditions. It can be of interest for students and post-graduates studying numerical methods for solving stochastic boundary value problems of mathematical physics and dispersion of particles by turbulent flows and flows in porous media.

Markov Random Fields

Author : Rama Chellappa,Anil K. Jain
Publisher : Unknown
Page : 608 pages
File Size : 42,9 Mb
Release : 1993
Category : Mathematics
ISBN : UOM:39015029555748

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Markov Random Fields by Rama Chellappa,Anil K. Jain Pdf

Introduces the theory and application of Markov random fields in image processing/computer vision. Modelling images through the local interaction of Markov models produces algorithms for use in texture analysis, image synthesis, restoration, segmentation and surface reconstruction.

Invariant Random Fields on Spaces with a Group Action

Author : Anatoliy Malyarenko
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 53,6 Mb
Release : 2012-10-26
Category : Mathematics
ISBN : 9783642334061

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Invariant Random Fields on Spaces with a Group Action by Anatoliy Malyarenko Pdf

The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.

Statistical Analysis of Random Fields

Author : A.A. Ivanov,Nikolai Leonenko
Publisher : Springer
Page : 244 pages
File Size : 55,5 Mb
Release : 2011-10-12
Category : Mathematics
ISBN : 940091184X

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Statistical Analysis of Random Fields by A.A. Ivanov,Nikolai Leonenko Pdf

Random Fields Estimation

Author : Alexander G. Ramm
Publisher : World Scientific
Page : 390 pages
File Size : 50,9 Mb
Release : 2005
Category : Technology & Engineering
ISBN : 9789812565365

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Random Fields Estimation by Alexander G. Ramm Pdf

This book contains a novel theory of random fields estimation of Wiener type, developed originally by the author and presented here. No assumption about the Gaussian or Markovian nature of the fields are made. The theory, constructed entirely within the framework of covariance theory, is based on a detailed analytical study of a new class of multidimensional integral equations basic in estimation theory.This book is suitable for graduate courses in random fields estimation. It can also be used in courses in functional analysis, numerical analysis, integral equations, and scattering theory.

Extremes in Random Fields

Author : Benjamin Yakir
Publisher : Wiley
Page : 250 pages
File Size : 41,6 Mb
Release : 2013-10-14
Category : Mathematics
ISBN : 1118620208

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Extremes in Random Fields by Benjamin Yakir Pdf

Presents a useful new technique for analyzing the extreme-value behaviour of random fields Modern science typically involves the analysis of increasingly complex data. The extreme values that emerge in the statistical analysis of complex data are often of particular interest. This book focuses on the analytical approximations of the statistical significance of extreme values. Several relatively complex applications of the technique to problems that emerge in practical situations are presented. All the examples are difficult to analyze using classical methods, and as a result, the author presents a novel technique, designed to be more accessible to the user. Extreme value analysis is widely applied in areas such as operational research, bioinformatics, computer science, finance and many other disciplines. This book will be useful for scientists, engineers and advanced graduate students who need to develop their own statistical tools for the analysis of their data. Whilst this book may not provide the reader with the specific answer it will inspire them to rethink their problem in the context of random fields, apply the method, and produce a solution.

Image Textures and Gibbs Random Fields

Author : Georgy L. Gimel'farb
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9789401144612

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Image Textures and Gibbs Random Fields by Georgy L. Gimel'farb Pdf

Image analysis is one of the most challenging areas in today's computer sci ence, and image technologies are used in a host of applications. This book concentrates on image textures and presents novel techniques for their sim ulation, retrieval, and segmentation using specific Gibbs random fields with multiple pairwise interaction between signals as probabilistic image models. These models and techniques were developed mainly during the previous five years (in relation to April 1999 when these words were written). While scanning these pages you may notice that, in spite of long equa tions, the mathematical background is extremely simple. I have tried to avoid complex abstract constructions and give explicit physical (to be spe cific, "image-based") explanations to all the mathematical notions involved. Therefore it is hoped that the book can be easily read both by professionals and graduate students in computer science and electrical engineering who take an interest in image analysis and synthesis. Perhaps, mathematicians studying applications of random fields may find here some less traditional, and thus controversial, views and techniques.

Weakly Stationary Random Fields, Invariant Subspaces and Applications

Author : Vidyadhar S. Mandrekar,David A. Redett
Publisher : CRC Press
Page : 176 pages
File Size : 51,9 Mb
Release : 2017-11-20
Category : Mathematics
ISBN : 9781351356459

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Weakly Stationary Random Fields, Invariant Subspaces and Applications by Vidyadhar S. Mandrekar,David A. Redett Pdf

The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students, researchers, especially those conducting research on Gaussian theory.