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Lecture
Convex Functions: Theory and Applications
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Subgradients and Convex Functions
Explores subgradients in convex functions, emphasizing non-differentiable yet convex scenarios and properties of subdifferentials.
Mathematics of Data: Optimization Basics
Covers optimization basics, including metrics, norms, convexity, gradients, and logistic regression, with a focus on strong convexity and convergence rates.
Isometries in Euclidean Spaces
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Geodesically Convex Optimization
Covers geodesically convex optimization on Riemannian manifolds, exploring convexity properties and minimization relationships.
Convex Optimization: Sets and Functions
Introduces convex optimization through sets and functions, covering intersections, examples, operations, gradient, Hessian, and real-world applications.
Convex Optimization
Introduces convex optimization, focusing on the importance of convexity in algorithms and optimization problems.
Similarity of Convex Bodies
Explores the similarity of convex bodies, affine transformations, the Johen's Theover theorem, and KKT conditions.
Optimization Techniques: Convexity in Machine Learning
Covers optimization techniques in machine learning, focusing on convexity and its implications for efficient problem-solving.
Fenchel Conjugation: Basics and Applications
Introduces Fenchel conjugation, exploring its properties, examples, and applications in nonsmooth optimization problems and minimax formulations.
Introduction to Convexity
Introduces the key concepts of convexity and its applications in different fields.