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Lecture
Optimality of Convergence Rates: Accelerated Gradient Descent
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Implicit Bias in Machine Learning
Explores implicit bias, gradient descent, stability in optimization algorithms, and generalization bounds in machine learning.
Optimization Basics
Introduces optimization basics, covering logistic regression, derivatives, convex functions, gradient descent, and second-order methods.
Convex Optimization: Gradient Descent
Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.
Iterative Descent Methods: Optimization Principles
Explores iterative descent methods in optimization, gradient descent, local minima, and convergence principles.
Optimality of Convergence Rates: Accelerated Gradient Descent
Explores the optimality of convergence rates in convex minimization problems using accelerated gradient descent methods.
Optimization without Constraints: Gradient Method
Covers optimization without constraints using the gradient method to find the function's minimum.