Contact: dongjun.wu_at_control.lth.se

News: 

• The course is planned to start in January 2024

Course Description: 

This course introduces

• fundamental theories of optimal transport, e.g., Kantorovich and Monge problems, structure of  minimizers, Wasserstein spaces, geodesic structures, etc.,
• efficient numerical methods for computing optimal transport, e.g. Brenier-Benamou formula (continuous OT) and entropy regularization (discrete OT),
• some applications, e.g., Beckman's problem, image processing.

Location and Time: 

To be determined.

Lectures notes:

• A course in optimal control and optimal transport (Chapter 4)

Exercises:

Readings: 

• Ambrosio, Luigi, Elia Brué, and Daniele Semola. Lectures on optimal transport. Springer, 2021.
• Santambrogio, Filippo. Optimal transport for applied mathematicians. Springer, 2015.
• Villani, Cédric. Topics in optimal transportation. Vol. 58. American Mathematical Soc., 2003.
• Peyré, Gabriel, and Marco Cuturi. "Computational optimal transport: With applications to data science." Foundations and Trends® in Machine Learning 11.5-6 (2019): 355-607.