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Lecture
Interpreting Convergence Plots in Optimization
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Optimization Basics
Introduces optimization basics, covering logistic regression, derivatives, convex functions, gradient descent, and second-order methods.
Optimization: Gradient Descent and Subgradients
Explores optimization methods like gradient descent and subgradients for training machine learning models, including advanced techniques like Adam optimization.
Optimal Transport: Rockafellar Theorem
Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.
Convex Optimization
Introduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.
Convex Optimization: Sets and Functions
Introduces convex optimization through sets and functions, covering intersections, examples, operations, gradient, Hessian, and real-world applications.
Optimization Methods in Machine Learning
Explores optimization methods in machine learning, emphasizing gradients, costs, and computational efforts for efficient model training.
KKT and Convex Optimization
Covers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.
Convex Optimization: Gradient Descent
Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.
Convex Optimization: Gradient Algorithms
Covers convex optimization problems and gradient-based algorithms to find the global minimum.
KKT for convex problems and Slater's CQ
Covers the KKT conditions and Slater's condition in convex optimization problems.