Convex Sets: MGT-418 LectureOn Convex Optimization covers course organization, mathematical optimization problems, solution concepts, and optimization methods.
Convex OptimizationCovers an overview of convex optimization, affine sets, polyhedra, ellipsoids, and convex functions.
Convex Sets and FunctionsIntroduces convex sets and functions, discussing minimizers, optimality conditions, and characterizations, along with examples and key inequalities.
Convex Functions: Theory and ApplicationsExplores convex functions, including checking convexity, transformations, examples, minimization, geometric intuition, Schur's Lemma, distance function, perspective function, and relative entropy.