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Lecture
Convex Functions: Theory and Applications
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Convex Functions: Theory and Applications
Explores convex functions, including checking convexity, transformations, examples, minimization, geometric intuition, Schur's Lemma, distance function, perspective function, and relative entropy.
Geodesic Convexity: Theory and Applications
Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.
Convex Optimization: Elementary Results
Explores elementary results in convex optimization, including affine, convex, and conic hulls, proper cones, and convex functions.
Convex Optimization: Theory and Applications
Explores the theory and applications of convex optimization, covering topics such as log-determinant function, affine transformations, and relative entropy.
Convex Functions
Covers the properties and operations of convex functions.
Optimal Transport: Rockafellar Theorem
Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.
Convex Sets and Functions
Introduces convex sets and functions, discussing minimizers, optimality conditions, and characterizations, along with examples and key inequalities.
Convex Sets: MGT-418 Lecture
On Convex Optimization covers course organization, mathematical optimization problems, solution concepts, and optimization methods.
Convex Functions: Theory and Applications
Introduces convex functions, covering affine, convex, and conic hulls, transformations, inequalities, and conditions for convexity.
Information Theory: Channel Capacity and Convex Functions
Explores channel capacity and convex functions in information theory, emphasizing the importance of convexity.
