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Lecture
KKT Conditions: Convex Optimization
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KKT for convex problems and Slater's CQ
Covers the KKT conditions and Slater's condition in convex optimization problems.
Conjugate Duality: Understanding Convex Optimization
Explores conjugate duality in convex optimization, covering weak and supporting hyperplanes, subgradients, duality gap, and strong duality conditions.
Convex Optimization
Introduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.
Geodesic Convexity: Theory and Applications
Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.
Linear Programming Techniques in Reinforcement Learning
Covers the linear programming approach to reinforcement learning, focusing on its applications and advantages in solving Markov decision processes.
Convex Optimization: Theory and Applications
Explores convex optimization theory, covering convex sets, functions, and QCQP duality.
Convex Optimization: Gradient Flow
Explores convex optimization, emphasizing the importance of minimizing functions within a convex set and the significance of continuous processes in studying convergence rates.
Conjugate Duality: Envelope Representations and Subgradients
Explores envelope representations, subgradients, and the duality gap in convex optimization.
Convex Functions
Covers the properties and operations of convex functions.
Convex Optimization Problems: Theory and Applications
Explores convex optimization problems, optimality criteria, equivalent problems, and practical applications in transportation and robotics.