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Related lectures (32)
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Introduction to Convexity
Introduces the key concepts of convexity and its applications in different fields.
Optimal Transport: Gradient Flows in Rd
Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.
Convex Functions: Theory and Applications
Introduces convex functions, covering affine, convex, and conic hulls, transformations, inequalities, and conditions for convexity.
Geodesically Convex Optimization
Covers geodesically convex optimization on Riemannian manifolds, exploring convexity properties and minimization relationships.
Hamiltonian dynamics on convex polytopes
Explores Hamiltonian dynamics on convex polytopes, covering symplectic capacities, EHZ capacity, and systolic ratio maximizers.
Convexity: Functions and Global Minima
Explores convex functions, global minima, and their relationship with differentiability.
Optimal Transport: Convexity and Inequalities
Explores optimal transport, emphasizing convexity properties and inequalities in compact sets.
Optimization Basics: Norms, Convexity, Differentiability
Explores optimization basics such as norms, convexity, and differentiability, along with practical applications and convergence rates.
Optimal Transport: Convex Analysis
Explores optimal transport and convex analysis, emphasizing convex functions and their applications.
Optimal Transport: Theory and Applications
Explores Lagrange multipliers, minimax theorems, and convex subsets in optimal transport theory.