Linear inverse problems: the maximum entropy connection (with CD-ROM)
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey
World Scientific
2011
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences
v. 83 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Some online versions lack accompanying media packaged with the printed version Includes bibliographical references 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 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 |
| Beschreibung: | 1 Online-Ressource (xix, 326 pages) |
| ISBN: | 9789814338776 9789814338783 981433877X 9814338788 |
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| 500 | |a 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 | ||
| 500 | |a 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 | ||
| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Inverse problems (Differential equations) | |
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Datensatz im Suchindex
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| author | Gzyl, Henryk |
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| dewey-full | 515/.357 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.357 |
| dewey-search | 515/.357 |
| dewey-sort | 3515 3357 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043118656 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:00Z |
| institution | BVB |
| isbn | 9789814338776 9789814338783 981433877X 9814338788 |
| language | English |
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| physical | 1 Online-Ressource (xix, 326 pages) |
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| publishDate | 2011 |
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| series2 | Series on advances in mathematics for applied sciences |
| spelling | Gzyl, Henryk Verfasser aut Linear inverse problems the maximum entropy connection (with CD-ROM) Henryk Gzyl & Yurayh Velásquez New Jersey World Scientific 2011 1 Online-Ressource (xix, 326 pages) txt rdacontent c rdamedia cr rdacarrier Series on advances in mathematics for applied sciences v. 83 Some online versions lack accompanying media packaged with the printed version Includes bibliographical references 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 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 Mathematics MATHEMATICS / Differential Equations / General bisacsh Mathematik Inverse problems (Differential equations) Maximum entropy method Velásquez, Yurayh Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373230 Aggregator Volltext |
| spellingShingle | Gzyl, Henryk Linear inverse problems the maximum entropy connection (with CD-ROM) Mathematics MATHEMATICS / Differential Equations / General bisacsh Mathematik Inverse problems (Differential equations) Maximum entropy method |
| title | Linear inverse problems the maximum entropy connection (with CD-ROM) |
| title_auth | Linear inverse problems the maximum entropy connection (with CD-ROM) |
| title_exact_search | Linear inverse problems the maximum entropy connection (with CD-ROM) |
| title_full | Linear inverse problems the maximum entropy connection (with CD-ROM) Henryk Gzyl & Yurayh Velásquez |
| title_fullStr | Linear inverse problems the maximum entropy connection (with CD-ROM) Henryk Gzyl & Yurayh Velásquez |
| title_full_unstemmed | Linear inverse problems the maximum entropy connection (with CD-ROM) Henryk Gzyl & Yurayh Velásquez |
| title_short | Linear inverse problems |
| title_sort | linear inverse problems the maximum entropy connection with cd rom |
| title_sub | the maximum entropy connection (with CD-ROM) |
| topic | Mathematics MATHEMATICS / Differential Equations / General bisacsh Mathematik Inverse problems (Differential equations) Maximum entropy method |
| topic_facet | Mathematics MATHEMATICS / Differential Equations / General Mathematik Inverse problems (Differential equations) Maximum entropy method |
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