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Primal-dual Optimization III: Lagrangian Gradient Methods
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Lagrangian Duality: Convex Optimization
Explores Lagrangian duality in convex optimization, transforming problems into min-max formulations and discussing the significance of dual solutions.
Stochastic Gradient Descent: Optimization and Convergence
Explores stochastic gradient descent, covering convergence rates, acceleration, and practical applications in optimization problems.
KKT for convex problems and Slater's CQ
Covers the KKT conditions and Slater's condition in convex optimization problems.
Convex Optimization: Convex Functions
Covers the concept of convex functions and their applications in optimization problems.
Structures in Non-Convex Optimization
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Optimization Techniques: Convexity and Algorithms in Machine Learning
Covers optimization techniques in machine learning, focusing on convexity, algorithms, and their applications in ensuring efficient convergence to global minima.
Primal-dual Optimization: Algorithms and Convergence
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Optimization Problems: Path Finding and Portfolio Allocation
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Convex Optimization: Dual Cones
Explores dual cones, generalized inequalities, SDP duality, and KKT conditions in convex optimization.