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Newton's Method: Optimization & Indefiniteness
Covers Newton's Method for optimization and discusses the caveats of indefiniteness in optimization problems.
Multilayer Perceptron: Training and Optimization
Explores the multilayer perceptron model, training, optimization, data preprocessing, activation functions, backpropagation, and regularization.
Feed-forward Networks
Introduces feed-forward networks, covering neural network structure, training, activation functions, and optimization, with applications in forecasting and finance.
Deep Learning: Convolutional Networks
Explores convolutional neural networks, backpropagation, and stochastic gradient descent in deep learning.
Descent methods and line search: Preconditioned steepest descent
Introduces preconditioning in optimization problems and explains steepest descent iteration.
Richardson Method: Preconditioned Iterative Solvers
Covers the Richardson method for solving linear systems with preconditioned iterative solvers and introduces the gradient method.
Algorithms for Composite Optimization
Explores algorithms for composite optimization, including proximal operators and gradient methods, with examples and theoretical bounds.
Momentum methods and nonlinear CG
Explores gradient descent with memory, momentum methods, conjugate gradients, and nonlinear CG on manifolds.
Proximal Gradient Descent: Optimization Techniques in Machine Learning
Discusses proximal gradient descent and its applications in optimizing machine learning algorithms.