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Lecture
Conjugate Gradient Optimization
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Related lectures (28)
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Strong Convexity and Convergence Rates
Explores strong convexity's role in faster convergence rates for optimization algorithms.
Symmetric Matrices and Quadratic Forms
Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.
Descent methods and line search: Preconditioned steepest descent
Introduces preconditioning in optimization problems and explains steepest descent iteration.
Symmetric Matrices and Quadratic Forms
Explores symmetric matrices, quadratic forms, and critical points in functions of two variables.
Quadratic Forms: Definitions, Examples
Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.
Quasi-newton optimization
Covers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.
Gradient Descent: Principles and Applications
Covers gradient descent, its principles, applications, and convergence rates in optimization for machine learning.
Classification of Quadratic Forms
Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.
Regression & Systemed Lineaires
Covers the principles of regression and linear systems, focusing on iterative methods.
Linear Systems: Iterative Methods
Explores linear systems and iterative methods like gradient descent and conjugate gradient for efficient solutions.