Optimal Transport: Convex Analysis

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Explores convex optimization, convex functions, and their properties, including strict convexity and strong convexity, as well as different types of convex functions like linear affine functions and norms.

Convex Functions: Theory and Applications Log in to Mediaspace to watch this video

Introduces convex functions, covering affine, convex, and conic hulls, transformations, inequalities, and conditions for convexity.

Conjugate Duality: Envelope Representations and Subgradients Log in to Mediaspace to watch this video

Explores envelope representations, subgradients, and the duality gap in convex optimization.

Convex Optimization: Theory and Applications Log in to Mediaspace to watch this video

Explores convex optimization theory, covering convex sets, functions, and QCQP duality.

Convex Optimization: Sets and Functions Log in to Mediaspace to watch this video

Introduces convex optimization through sets and functions, covering intersections, examples, operations, gradient, Hessian, and real-world applications.

Convex Optimization: Gradient Descent Log in to Mediaspace to watch this video

Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.

Faster Gradient Descent: Projected Optimization Techniques Log in to Mediaspace to watch this video

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Provides an overview of optimization techniques, focusing on gradient descent and properties of convex functions in machine learning.

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Proximal Gradient Descent: Optimization Techniques in Machine Learning Log in to Mediaspace to watch this video

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Optimization Problems: Path Finding and Portfolio Allocation Log in to Mediaspace to watch this video

Covers optimization problems in path finding and portfolio allocation.

Convex Functions: Theory and Applications Log in to Mediaspace to watch this video

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Untitled Log in to Mediaspace to watch this video

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Explores linear models, regression, multi-output prediction, classification, non-linearity, and gradient-based optimization.

Optimal Transport: Cyclically Monotone Sets Log in to Mediaspace to watch this video

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The Geometry of Linear Optimization Log in to Mediaspace to watch this video

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