Description 
1 online resource (xix, 326 pages) : illustrations 
Series 
Series on advances in mathematics for applied sciences ; v. 83 

Series on advances in mathematics for applied sciences ; v. 83

Contents 
Preface; Contents; List of Figures; List of Tables; 1. Introduction; 2. A collection of linear inverse problems; 3. The basics about linear inverse problems; 4. Regularization in Hilbert spaces: Deterministic and stochastic approaches; 5. Maxentropic approach to linear inverse problems; 6. Finite dimensional problems; 7. Some simple numerical examples and moment problems; 8. Some infinite dimensional problems; 9. Tomography, reconstruction from marginals and transportation problems; 10. Numerical inversion of Laplace transforms; 11. Maxentropic characterization of probability distributions 
Summary 
This book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional nonlinear variational problem. A variety of mathematical aspects of the maximum entropy method are explored as well 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Inverse problems (Differential equations)


Maximum entropy method.

Form 
Electronic book

Author 
Velásquez, Yurayh.

ISBN 
9789814338783 (electronic bk.) 

9814338788 (electronic bk.) 
