Optimal Transport: Theory and Applications

Related lectures (36)

Explores infimum, supremum, and absolute value concepts with examples and proofs.

Explores the theory of optimal transport, focusing on Lipschitz functions and uniqueness of solutions.

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

Explores Coxeter groups, word length, simple reflections, and unique elements.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Covers entropy, its definition, and its implications in thermodynamics.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

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

Explores entropy, ideal gases, and TDS equations in thermodynamics, emphasizing the importance of the Clausius inequality and the Carnot cycle.

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

Explores the theory of implicit functions, their properties, and illustrative examples.

Explores the statistical interpretation of entropy, showcasing how disorder increases with particle numbers.

Covers the theory of waves, vector analysis, and electromagnetic concepts.

Explores entropy, ideal gases, Carnot cycle, and T-S diagrams in thermodynamics.

Discusses reversible and irreversible transformations based on entropy as a state function.

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