Variational and Information Flows in Machine Learning and Optimal Transport
Birkhäuser Verlag GmbH
ISBN 978-3-031-92730-0
Standardpreis
Bibliografische Daten
Fachbuch
Buch. Softcover
2025
1 s/w-Abbildung, 14 Farbabbildungen.
In englischer Sprache
Umfang: xiv, 254 S.
Format (B x L): 16,8 x 24 cm
Verlag: Birkhäuser Verlag GmbH
ISBN: 978-3-031-92730-0
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Oberwolfach Seminars
Produktbeschreibung
Variational and stochastic flows on measure spaces are ubiquitous in machine learning and generative modeling. Optimal transport and diffeomorphic flows provide powerful frameworks to analyze such trajectories of distributions with elegant notions from differential geometry, such as geodesics, gradient and Hamiltonian flows. Recently, mean field control and mean field games offered a general optimal control variational view on learning problems. The four independent chapters in this book address the question of how the presented tools lead us to better understanding and further development of machine learning and generative models.
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