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Inverse Problem Theory and Methods for Model Parameter Estimation [Dark Demon] [h33t]

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Description

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Author	: Albert Tarantola

Publisher: SIAM: Society for Industrial and Applied Mathematics 

Language: English

Format	: pdf

ISBN-10: 0898715725

ISBN-13: 978-0898715729

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The use of actual observations to infer the properties of a model is an inverse problem, which are often difficult as
they may not have a unique solution. This book proposes a general approach that is valid for linear as well as for
nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic
difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition
of information can be applied to actual real-world problems, including many heuristic arguments. Prompted by recent
developments in inverse theory, this text is a completely rewritten version of a 1987 book by the same author, and
includes many algorithmic details for Monte Carlo methods, least-squares discrete problems, and least-squares problems
involving functions. In addition, some notions are clarified, the role of optimization techniques is underplayed, and
Monte Carlo methods are taken much more seriously. 



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