Hamiltonian dynamics on convex polytopes

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (51)

Harmonic Forms: Main Theorem

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

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Central Limit Theorem

Covers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.

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: Gradient Descent Log in to Mediaspace to watch this video

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

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.

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

Covers cyclically monotone sets in optimal transport theory and their properties.

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.

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

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

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

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

Optimal Transport: Theory and Applications Log in to Mediaspace to watch this video

Explores Lagrange multipliers, minimax theorems, and convex subsets in optimal transport theory.

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

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

Sparsest Cut: Bourgain's Theorem Log in to Mediaspace to watch this video

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Minkowski-Weyl: Convexity and Separation Theorem Log in to Mediaspace to watch this video

Explores convex sets, Minkowski-Weyl theorem, and Separation theorem in convex analysis.

Zig Zag Lemma Log in to Mediaspace to watch this video

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Optimal Transport: Gradient Flows in Rd Log in to Mediaspace to watch this video

Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.

Convex Hulls: Complexity and Vertices Log in to Mediaspace to watch this video

Explores the complexity of convex hulls and the concept of vertices within them.

Optimal Transport: Regularity and Brenier's Theorem Log in to Mediaspace to watch this video

Explores optimal transport regularity and Brenier's theorem, discussing continuity and convexity concepts.

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

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

Sparsest Cut: ARV Theorem Log in to Mediaspace to watch this video

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Page 1 of 3