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Lecture
KKT Conditions: Convex Optimization
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Convex Optimization: Convex Functions
Covers the concept of convex functions and their applications in optimization problems.
Convex Sets: Mathematical Optimization
Introduces convex optimization, covering convex sets, solution concepts, and efficient numerical methods in mathematical optimization.
Geodesic Convexity: Theory and Applications
Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.
Optimization Techniques: Convexity in Machine Learning
Covers optimization techniques in machine learning, focusing on convexity and its implications for efficient problem-solving.
KKT Conditions: Convex Optimization
Explores the KKT conditions in convex optimization, including dual cones, SDP duality, and convex hulls.
Conjugate Duality: Understanding Convex Optimization
Explores conjugate duality in convex optimization, covering weak and supporting hyperplanes, subgradients, duality gap, and strong duality conditions.
Convex Optimization
Introduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.
Optimization with Constraints: KKT Conditions
Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.
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: Generalized Inequalities
Explores problems with generalized inequalities in convex optimization and the equivalence between SOCP and SDP.