Statistical and Computational Inverse Problems

• Main Authors: Kaipio, Jari P. (Author), Somersalo, Erkki (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Series: Applied Mathematical Sciences, 160
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Computer mathematics.; Probabilities.; Physics.; Complexity, Computational.; Biomedical engineering.; Probability Theory and Stochastic Processes.; Analysis.; Computational Mathematics and Numerical Analysis.; Theoretical, Mathematical and Computational Physics.; Complexity.; Biomedical Engineering.

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 p...