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Lecture
Convex Optimization: Gradient Flow
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Convex Optimization: Convex Functions
Covers the concept of convex functions and their applications in optimization problems.
Faster Gradient Descent: Projected Optimization Techniques
Covers faster gradient descent methods and projected gradient descent for constrained optimization in machine learning.
Conjugate Duality: Understanding Convex Optimization
Explores conjugate duality in convex optimization, covering weak and supporting hyperplanes, subgradients, duality gap, and strong duality conditions.
Optimization Techniques: Gradient Descent and Convex Functions
Provides an overview of optimization techniques, focusing on gradient descent and properties of convex functions in machine learning.
The Hidden Convex Optimization Landscape of Deep Neural Networks
Explores the hidden convex optimization landscape of deep neural networks, showcasing the transition from non-convex to convex models.
Convex Optimization: Theory and Applications
Explores convex optimization theory, covering local and global minima, convex functions, and applications in various fields.
Optimization Basics: Norms, Convexity, Differentiability
Explores optimization basics such as norms, convexity, and differentiability, along with practical applications and convergence rates.
KKT for convex problems and Slater's CQ
Covers the KKT conditions and Slater's condition in convex optimization problems.
Gradient Descent Methods: Theory and Computation
Explores gradient descent methods for smooth convex and non-convex problems, covering iterative strategies, convergence rates, and challenges in optimization.
Conjugate Duality: Envelope Representations and Subgradients
Explores envelope representations, subgradients, and the duality gap in convex optimization.