Optimal Transport: Theory and Applications

Related lectures (30)

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Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Covers cyclically monotone sets in optimal transport theory and their properties.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers the approximation of functions in Sobolev spaces using smooth functions.

Explores Lagrange multipliers, minimax theorems, and convex subsets in optimal transport theory.

Explores the chain rule for compositions of differential functions in higher dimensions, emphasizing gradients and directional changes.

Covers the Theoreus Chain Role for Lipschitz functions and its practical applications.

Explores unconstrained optimization theory, covering global and local minima, convexity, and gradient concepts.

Explores sub/super harmonic functions and their applications in a theoretical context.

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.