Statistical and Computational Inverse Problems |
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Author:
| Kaipio, Jari Somersalo, Erkki |
Series title: | Applied Mathematical Sciences Ser. |
ISBN: | 978-0-387-22073-4 |
Publication Date: | Jan 2005 |
Publisher: | Springer
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Book Format: | Hardback |
List Price: | AUD $170.95 |
Book Description:
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This book develops the statistical approach to inverse problems with an emphasis on modeling and computations. It details 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 examples and applied to a number of real world applications.
This book develops the statistical approach to inverse problems with an emphasis on modeling and computations. It details 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 examples and applied to a number of real world applications.