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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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2021 |
Year of Publication: | 2021 |
Language: | English |
Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
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Physical Description: | 1 online resource (XIV, 210 p.) |
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Wolansky, Gershon, author. aut http://id.loc.gov/vocabulary/relators/aut Optimal Transport : A Semi-Discrete Approach / Gershon Wolansky. Berlin ; Boston : De Gruyter, [2021] ©2021 1 online resource (XIV, 210 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 37 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Monge-Kantorovič-Transportproblem. Transportproblem. MATHEMATICS / Differential Equations / Partial. bisacsh Title is part of eBook package: De Gruyter DG Ebook Package English 2021 9783110750720 Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 9783110750706 Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA EPUB 9783110633177 print 9783110633122 https://doi.org/10.1515/9783110635485 https://www.degruyter.com/isbn/9783110635485 Cover https://www.degruyter.com/document/cover/isbn/9783110635485/original |
language |
English |
format |
eBook |
author |
Wolansky, Gershon, Wolansky, Gershon, |
spellingShingle |
Wolansky, Gershon, Wolansky, Gershon, Optimal Transport : A Semi-Discrete Approach / De Gruyter Series in Nonlinear Analysis and Applications , 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 |
author_facet |
Wolansky, Gershon, Wolansky, Gershon, |
author_variant |
g w gw g w gw |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Wolansky, Gershon, |
title |
Optimal Transport : A Semi-Discrete Approach / |
title_sub |
A Semi-Discrete Approach / |
title_full |
Optimal Transport : A Semi-Discrete Approach / Gershon Wolansky. |
title_fullStr |
Optimal Transport : A Semi-Discrete Approach / Gershon Wolansky. |
title_full_unstemmed |
Optimal Transport : A Semi-Discrete Approach / Gershon Wolansky. |
title_auth |
Optimal Transport : A Semi-Discrete Approach / |
title_alt |
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 |
title_new |
Optimal Transport : |
title_sort |
optimal transport : a semi-discrete approach / |
series |
De Gruyter Series in Nonlinear Analysis and Applications , |
series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
publisher |
De Gruyter, |
publishDate |
2021 |
physical |
1 online resource (XIV, 210 p.) Issued also in print. |
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 |
isbn |
9783110635485 9783110750720 9783110750706 9783110647099 9783110616859 9783110754001 9783110753776 9783110754131 9783110753905 9783110633177 9783110633122 |
issn |
0941-813X ; |
url |
https://doi.org/10.1515/9783110635485 https://www.degruyter.com/isbn/9783110635485 https://www.degruyter.com/document/cover/isbn/9783110635485/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110635485 |
oclc_num |
1232276859 |
work_keys_str_mv |
AT wolanskygershon optimaltransportasemidiscreteapproach |
status_str |
n |
ids_txt_mv |
(DE-B1597)507105 (OCoLC)1232276859 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2021 Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 |
is_hierarchy_title |
Optimal Transport : A Semi-Discrete Approach / |
container_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2021 |
_version_ |
1806144502608429056 |
fullrecord |
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