Synopsis
This book is aimed at postgraduate students in applied mathematics as well as at engineering and physics students with a ?rm background in mathem- ics. The ?rst four chapters can be used as the material for a ?rst course on inverse problems with a focus on computational and statistical aspects. On the other hand, Chapters 3 and 4, which discuss statistical and nonstati- ary inversion methods, can be used by students already having knowldege of classical inversion methods. There is rich literature, including numerous textbooks, on the classical aspects of inverse problems. From the numerical point of view, these books concentrate on problems in which the measurement errors are either very small or in which the error properties are known exactly. In real-world pr- lems, however, the errors are seldom very small and their properties in the deterministic sensearenot wellknown.For example, inclassicalliteraturethe errornorm is usuallyassumed to be a known realnumber. In reality, the error norm is a random variable whose mean might be known.
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Statistical and Computational Inverse Problems (Applied Mathematical Sciences Volume 160)
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Springer, NY, 2004
ISBN 10 : 0387220739
ISBN 13 : 9780387220734
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Etat : Very Good+. Hardcover, [xvi], 339 pages. Very Good+ condition. Size 9.5"x6.375". "The book develops the statistical approach to inverse problems with an emphasis on modeling and computations. The framework is the Bayesian paradigm, where all variables are modeled as random variables, the randomness reflecting the degree of belief of their values, and the solution of the inverse problem is expressed in terms of probability densities. The book discusses in detail the construction of prior models, the measurement noise modeling and Bayesian estimation. Markov Chain Monte Carlo-methods as well as optimization methods are employed to explore the probability distributions. The results and techniques are clarified with classroom examples that are often non-trivial but easy to follow. Besides the simple examples, the book contains previously unpublished research material, where the statistical approach is developed further to treat such problems as discretization errors, and statistical model reduction. Furthermore, the techniques are then applied to a number of real world applications such as limited angle tomography, image deblurring, electrical impedance tomography and biomagnetic inverse problems." Book has moderate exterior shelfwear, else Fine condition, clean and unmarked. N° de réf. du vendeur 009890
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Statistical and Computational Inverse Problems (Applied Mathematical Sciences, 160)
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STATISTICAL & COMPUTATIONAL INVERSE PROBLEMS
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Dura. Etat : New. Etat de la jaquette : Nuevo. No Aplica (illustrateur). 0. The book develops the statistical approach to inverse problems with an emphasis on modeling and computations. The framework is the Bayesian paradigm, where all variables are modeled as random variables, the randomness reflecting the degree of belief of their values, and the solution of the inverse problem is expressed in terms of probability densities. The book discusses in detail the construction of prior models, the measurement noise modeling and Bayesian estimation. Markov Chain Monte Carlo-methods as well as optimization methods are employed to explore the probability distributions. The results and techniques are clarified with classroom examples that are often non-trivial but easy to follow. Besides the simple examples, the book contains previously unpublished research material, where the statistical approach is developed further to treat such problems as discretization errors, and statistical model reduction. Furthermore, the techniques are then applied to a number of real world applications such as limited angle tomography, image deblurring, electrical impedance tomography and biomagnetic inverse problems. The book is intended to researchers and advanced students in applied mathematics, computational physics and engineering. The first part of the book can be used as a text book on advanced inverse problems. The authors Jari Kaipio and Erkki Somersalo are Professors in the Applied Physics Department of the University of Kuopio, Finland and the Mathematics Department at the Helsinki University of Technology, Finland, respectively. 620 gr. Libro. N° de réf. du vendeur 9780387220734LEA45925
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Statistical and Computational Inverse Problems (Applied Mathematical Sciences, 160)
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Statistical and Computational Inverse Problems
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is aimed at postgraduate students in applied mathematics as well as at engineering and physics students with a rm background in mathem- ics. The rst four chapters can be used as the material for a rst course on inverse problems with a focus on computational and statistical aspects. On the other hand, Chapters 3 and 4, which discuss statistical and nonstati- ary inversion methods, can be used by students already having knowldege of classical inversion methods. There is rich literature, including numerous textbooks, on the classical aspects of inverse problems. From the numerical point of view, these books concentrate on problems in which the measurement errors are either very small or in which the error properties are known exactly. In real-world pr- lems, however, the errors are seldom very small and their properties in the deterministic sensearenot wellknown.For example,inclassicalliteraturethe errornorm is usuallyassumed to be a known realnumber. In reality,the error norm is a random variable whose mean might be known. 360 pp. Englisch. N° de réf. du vendeur 9780387220734
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Statistical and Computational Inverse Problems
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results. The techniques are applied to a number of real world applicatio. N° de réf. du vendeur 5909117
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Statistical and Computational Inverse Problems (Applied Mathematical Sciences) (v. 160)
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Statistical and Computational Inverse Problems
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Statistical and Computational Inverse Problems
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ISBN 13 : 9780387220734
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is aimed at postgraduate students in applied mathematics as well as at engineering and physics students with a rm background in mathem- ics. The rst four chapters can be used as the material for a rst course on inverse problems with a focus on computational and statistical aspects. On the other hand, Chapters 3 and 4, which discuss statistical and nonstati- ary inversion methods, can be used by students already having knowldege of classical inversion methods. There is rich literature, including numerous textbooks, on the classical aspects of inverse problems. From the numerical point of view, these books concentrate on problems in which the measurement errors are either very small or in which the error properties are known exactly. In real-world pr- lems, however, the errors are seldom very small and their properties in the deterministic sensearenot wellknown.For example,inclassicalliteraturethe errornorm is usuallyassumed to be a known realnumber. In reality,the error norm is a random variable whose mean might be known.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 360 pp. Englisch. N° de réf. du vendeur 9780387220734
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