Minkowski-Weyl: Convexity and Separation Theorem

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (49)

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Approximation of Zeta Function

Explores the approximation of the zeta function using compact functions and spectral decomposition.

Hamiltonian dynamics on convex polytopes

Explores Hamiltonian dynamics on convex polytopes, covering symplectic capacities, EHZ capacity, and systolic ratio maximizers.

Setting up Experiments: Compactness, Isometries, Quasi-Isometry

Explains setting up experiments with compactness, isometries, and quasi-isometry.

Optimal Transport: Rockafellar Theorem Log in to Mediaspace to watch this video

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Optimal Transport: Convexity and Inequalities Log in to Mediaspace to watch this video

Explores optimal transport, emphasizing convexity properties and inequalities in compact sets.

Geodesic Convexity: Theory and Applications Log in to Mediaspace to watch this video

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

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

Covers the concept of convex functions and their applications in optimization problems.

KKT and Convex Optimization Log in to Mediaspace to watch this video

Covers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.

Convex Optimization: Elementary Results Log in to Mediaspace to watch this video

Explores elementary results in convex optimization, including affine, convex, and conic hulls, proper cones, and convex functions.

Jordan Curve Theorem Log in to Mediaspace to watch this video

Covers the proof of the Jordan Curve Theorem and the properties of embedded spheres.

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

Explores convex sets, their properties, and applications in optimization.

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.

Initial Problem Solutions Log in to Mediaspace to watch this video

Covers the description of all solutions of the initial problem and related concepts such as compactness and closure.

Minkowski's Theorems: Lattices and Volumes Log in to Mediaspace to watch this video

Explores Minkowski's theorems on lattices, volumes, and set comparisons.

Preliminaries in Measure Theory Log in to Mediaspace to watch this video

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Convexity: Functions and Global Minima Log in to Mediaspace to watch this video

Explores convex functions, global minima, and their relationship with differentiability.

Cones of convex sets Log in to Mediaspace to watch this video

Explores optimization on convex sets, including KKT points and tangent cones.

Conjugate Duality: Understanding Convex Optimization Log in to Mediaspace to watch this video

Explores conjugate duality in convex optimization, covering weak and supporting hyperplanes, subgradients, duality gap, and strong duality conditions.

Compact Sets and Extreme Values Log in to Mediaspace to watch this video

Explores compact sets, extreme values, and function theorems on bounded sets.

Page 1 of 3