Statistical and Computational Inverse Problems

• Κύριοι συγγραφείς: Kaipio, Jari P. (Συγγραφέας), Somersalo, Erkki (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2005.
• Σειρά: Applied Mathematical Sciences, 160
• Θέματα: 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...

Πίνακας περιεχομένων:

• Inverse Problems and Interpretation of Measurements
• Classical Regularization Methods
• Statistical Inversion Theory
• Nonstationary Inverse Problems
• Classical Methods Revisited
• Model Problems
• Case Studies.