Optimal transport : a semi-discrete approach / Gershon Wolansky.
This book focuses on problems at the interplay between the theory of partitions and optimal transport with a view toward applications. Topics covered include problems related to stable marriages and stable partitions, multipartitions, optimal transport for measures and optimal partitions, and finall...
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| Online Access: |
Full Text (via ProQuest) |
|---|---|
| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Boston :
Walter de Gruyter GmbH,
[2021]
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| Series: | De Gruyter series in nonlinear analysis and applications ;
v. 37. |
| Subjects: |
MARC
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| 245 | 1 | 0 | |a Optimal transport : |b a semi-discrete approach / |c Gershon Wolansky. |
| 264 | 1 | |a Berlin ; |a Boston : |b Walter de Gruyter GmbH, |c [2021] | |
| 300 | |a 1 online resource (xiii, 208 pages) : |b illustrations (black and white) | ||
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| 490 | 1 | |a De Gruyter series in nonlinear analysis and applications, |x 0941-813X ; |v Volume 37. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Intro -- Preface -- Contents -- How to read this book? -- Notations -- 1 Introduction -- Part I: Stable marriage and optimal partitions -- 2 The stable marriage problem -- 3 Many to few: stable partitions -- 4 Monge partitions -- Part II: Multipartitions -- 5 Weak multipartitions -- 6 Strong multipartitions -- 7 Optimal multipartitions -- 8 Applications to learning theory -- Part III: From optimal partition to optimal transport and back -- 9 Optimal transport for scalar measures -- 10 Interpolated costs -- Part IV: Cooperative and non-cooperative partitions. | |
| 505 | 8 | |a 11 Back to Monge: individual values -- 12 Sharing the individual value -- 13 Cooperative partitions -- A Convexity -- B Convergence of measures -- Bibliography -- Index. | |
| 520 | |a This book focuses on problems at the interplay between the theory of partitions and optimal transport with a view toward applications. Topics covered include problems related to stable marriages and stable partitions, multipartitions, optimal transport for measures and optimal partitions, and finally cooperative and noncooperative partitions. All concepts presented are illustrated by examples from game theory, economics, and learning. | ||
| 588 | 0 | |a Print version record. | |
| 588 | 0 | |a Online resource; title from digital title page (viewed on May 24, 2021) | |
| 650 | 0 | |a Mathematical optimization. |0 http://id.loc.gov/authorities/subjects/sh85082127. | |
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| 650 | 0 | |a Game theory. |0 http://id.loc.gov/authorities/subjects/sh85052941. | |
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| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099. | |
| 650 | 7 | |a Partitions (Mathematics) |2 fast |0 (OCoLC)fst01054188. | |
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