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Lecture
Optimization Programs: Piecewise Linear Cost Functions
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Primal-dual Optimization III: Lagrangian Gradient Methods
Explores primal-dual optimization methods, emphasizing Lagrangian gradient techniques and their applications in data optimization.
Optimization Methods: Convergence and Trade-offs
Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.
Convex Functions
Covers the properties and operations of convex functions.
Optimization Principles
Covers optimization principles, including linear optimization, networks, and concrete research examples in transportation.
Proximal Gradient Descent: Optimization Techniques in Machine Learning
Discusses proximal gradient descent and its applications in optimizing machine learning algorithms.
Optimization with Constraints: KKT Conditions Explained
Covers the KKT conditions for optimization with constraints, detailing their application and significance in solving constrained problems.
Optimization with Constraints: KKT Conditions
Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.
Primal-dual Optimization: Algorithms and Convergence
Explores primal-dual optimization algorithms for convex-concave minimax problems, discussing convergence properties and applications.
Convex Optimization: Convex Functions
Covers the concept of convex functions and their applications in optimization problems.
KKT for convex problems and Slater's CQ
Covers the KKT conditions and Slater's condition in convex optimization problems.