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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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
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Physical Description:1 online resource (XIV, 210 p.)
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id 9783110635485
ctrlnum (DE-B1597)507105
(OCoLC)1232276859
collection bib_alma
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spelling 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
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