| 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 non-linear 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.) |
|
