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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| Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2021 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2021 |
| Year of Publication: | 2021 |
| Language: | English |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
37 |
| Online Access: | |
| Physical Description: | 1 online resource (XIV, 210 p.) |
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Table of Contents:
- Frontmatter
- 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
- 11 Back to Monge: individual values
- 12 Sharing the individual value
- 13 Cooperative partitions
- A Convexity
- B Convergence of measures
- Bibliography
- Index