Name: Optimal Transport. A Comprehensive Introduction to Modeling, Analysis, Simulation, Applications (en Inglés)
SKU: 67197931
Price: 115.65 USD
Availability: InStock
Author: Gero Friesecke

portada Optimal Transport. A Comprehensive Introduction to Modeling, Analysis, Simulation, Applications (en Inglés)

Optimal Transport. A Comprehensive Introduction to Modeling, Analysis, Simulation, Applications (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Gero Friesecke

Año

2024

Idioma

Inglés

N° páginas

333

Encuadernación

Tapa Blanda

ISBN13

9781611978087

Optimal Transport. A Comprehensive Introduction to Modeling, Analysis, Simulation, Applications (en Inglés)

Gero Friesecke (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

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Reseña del libro "Optimal Transport. A Comprehensive Introduction to Modeling, Analysis, Simulation, Applications (en Inglés)"

Optimal transport has evolved from solving mortar-moving puzzles to addressing challenges in fluid dynamics, many-electron physics and AI. It builds theory from scratch on finite state spaces with intuitive examples, while covering modern topics including Wasserstein GANs, multimarginal problems and MATLAB simulations.

Historically, optimal transport was about moving a pile of mortar efficiently or transferring the output of an array of steel mines optimally. This type of problem has been found to arise in many different fields of mathematics, science, and engineering—from fluid dynamics to many-electron physics to artificial intelligence—and in the last three decades interest in the subject has exploded.

This accessible book begins with an elementary and self-contained chapter on optimal transport on finite state spaces that does not require measure theory or functional analysis. It builds up mathematical theory rigorously and from scratch, aided by intuitive arguments, informal discussion, and carefully selected applications. It is the first book to cover modern topics such as Wasserstein GANs and multimarginal problems and includes a discussion of numerical methods and basic MATLAB code for simulating optimal transport problems directly via linear programming or more efficiently via the Sinkhorn algorithm. Additionally, it provides classroom-tested exercises in every chapter.