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An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows (Second Edition)

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Title: An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows (Second Edition)
Description: This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject. The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given. Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The present second edition contains a number of additions, such as a new section on the Brunn–Minkowski inequality, new exercises, and various corrections throughout the text.
Authors: Alessio Figalli, Federico Glaudo
Resource Type: eBook.
Subjects: Flows (Differentiable dynamical systems), Transportation problems (Programming), Mathematical optimization
Categories: MATHEMATICS / Mathematical Analysis, COMPUTERS / Programming / Algorithms
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 3808256
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AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1116.28857421875
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  Data: An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows (Second Edition)
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  Label: Description
  Group: Ab
  Data: This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject. The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given. Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The present second edition contains a number of additions, such as a new section on the Brunn–Minkowski inequality, new exercises, and various corrections throughout the text.
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  Data: <searchLink fieldCode="AR" term="%22Alessio+Figalli%22">Alessio Figalli</searchLink><br /><searchLink fieldCode="AR" term="%22Federico+Glaudo%22">Federico Glaudo</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Flows+%28Differentiable+dynamical+systems%29%22">Flows (Differentiable dynamical systems)</searchLink><br /><searchLink fieldCode="DE" term="%22Transportation+problems+%28Programming%29%22">Transportation problems (Programming)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink>
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    Classifications:
      – Code: 519.72
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Flows (Differentiable dynamical systems)
        Type: general
      – SubjectFull: Transportation problems (Programming)
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
    Titles:
      – TitleFull: An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows (Second Edition)
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Alessio Figalli
      – PersonEntity:
          Name:
            NameFull: Federico Glaudo
      – PersonEntity:
          Name:
            NameFull: Alessio Figalli
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            NameFull: Federico Glaudo
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2023
            – D: 15
              M: 03
              Type: profile
              Y: 2024
          Identifiers:
            – Type: isbn-print
              Value: 9783985470501
            – Type: isbn-electronic
              Value: 9783985475506
          Titles:
            – TitleFull: An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows (Second Edition)
              Type: main
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