Lectures related to Convex Optimization: Gradient Descent

Conjugate Duality: Understanding Convex Optimization

Explores conjugate duality in convex optimization, covering weak and supporting hyperplanes, subgradients, duality gap, and strong duality conditions.

Cones of convex sets

Explores optimization on convex sets, including KKT points and tangent cones.

Convex Optimization

Introduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.

Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Algorithms & Growth of Functions

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Convex Sets: Theory and Applications

Explores convex sets, their properties, and applications in optimization.