Convex Sets and Functions

Related lectures (29)

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Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Covers the properties and operations of convex functions.

Explores elementary results in convex optimization, including affine, convex, and conic hulls, proper cones, and convex functions.

Covers the concept of convex functions and their applications in optimization problems.

On Convex Optimization covers course organization, mathematical optimization problems, solution concepts, and optimization methods.

Explores convex functions, global minima, and their relationship with differentiability.

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

Introduces the key concepts of convexity and its applications in different fields.

Explores convex functions, affine transformations, pointwise maximum, minimization, Schur's Lemma, and relative entropy in mathematical optimization.

Covers an overview of convex optimization, affine sets, polyhedra, ellipsoids, and convex functions.