1.

Record Nr.

UNISA996655263503316

Autore

Chewi Sinho

Titolo

Statistical Optimal Transport : École d'Été de Probabilités de Saint-Flour XLIX – 2019 / / by Sinho Chewi, Jonathan Niles-Weed, Philippe Rigollet

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

3-031-85160-9

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (XIV, 260 p. 10 illus., 3 illus. in color.)

Collana

École d'Été de Probabilités de Saint-Flour ; ; 2364

Disciplina

519.5

Soggetti

Statistics

Machine learning

Mathematical optimization

Calculus of variations

Statistical physics

Probabilities

Statistical Theory and Methods

Machine Learning

Calculus of Variations and Optimization

Statistical Physics

Probability Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

1. Optimal Transport -- 2. Estimation of Wasserstein distances -- 3. Estimation of transport maps -- 4. Entropic optimal transport -- 5. Wasserstein gradient flows: theory.-6. Wasserstein gradient flows: applications -- 7. Metric geometry of the Wasserstein space -- 8. Wasserstein barycenters.

Sommario/riassunto

This monograph aims to offer a concise introduction to optimal transport, quickly transitioning to its applications in statistics and machine learning. It is primarily tailored for students and researchers in these fields, yet it remains accessible to a broader audience of applied mathematicians and computer scientists. Each chapter is complemented with exercises for the reader to test their understanding. As such, this monograph is suitable for a graduate



course on the topic of statistical optimal transport.