Attention

Please register for this module via Moodle before the start of the semester.

Contents

This course teaches theory and methods for transportation problems.

• Finite-dimensional transport
• Transport simplex method and sinkhorn method
• Transport of dimensions
• Kantorovich duality
• Wasserstein distances

Associated module: e.g. 11123

Previous knowledge

Knowledge of functional analysis, optimization and measure theory may be helpful.

Examination

In order to take a module examination, an oral examination takes place after the lecture period.

Supplementary literature

The following books are a good supplement to the lecture. Within the BTU Cottbus-Senftenberg they are partly available free of charge as e-books (see links) and partly available in the library.

• Filippo Santambrogio; Optimal Transport for Applied Mathematicians; Springer
• Gabriel Peyré, Marco Cuturi; Computational Optimal Transport
• Cédric Villani; Optimal Transport; Springer