Variational and Information Flows in Machine Learning and Optimal Transport

Gabriele Steidl author Wuchen Li author Bernhard Schmitzer author François-Xavier Vialard author Christian Wald author

Format:Paperback

Publisher:Birkhauser Verlag AG

Publishing:29th Jul '25

£54.99

This title is due to be published on 29th July, and will be despatched as soon as possible.

Variational and Information Flows in Machine Learning and Optimal Transport cover

This book is based on lectures given at the Mathematisches Forschungsinstitut Oberwolfach on “Computational Variational Flows in Machine Learning and Optimal Transport”. 

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. 

ISBN: 9783031927300

Dimensions: unknown

Weight: unknown

254 pages