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Lecture
Convex Optimization Problems: Standard Form
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Convex Optimization Problems: Theory and Applications
Explores convex optimization problems, optimality criteria, equivalent problems, and practical applications in transportation and robotics.
Linear Programming: Weighted Bipartite Matching
Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.
Optimization Problems: Path Finding and Portfolio Allocation
Covers optimization problems in path finding and portfolio allocation.
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.
Optimization Problems: Standard Form
Explores optimization problems in standard form, convex optimization, and optimality criteria.
Lagrangian Duality: Convex Optimization
Explores Lagrangian duality in convex optimization, transforming problems into min-max formulations and discussing the significance of dual solutions.
Lagrangian Duality: Theory and Applications
Explores Lagrangian duality in convex optimization, discussing strong duality, dual solutions, and practical applications in second-order cone programs.
KKT and Convex Optimization
Covers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.
Convex Optimization Tutorial: KKT Conditions
Explores KKT conditions in convex optimization, covering dual problems, logarithmic constraints, least squares, matrix functions, and suboptimality of covering ellipsoids.
Optimization Methods: Theory Discussion
Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.