Geodesic Convexity: Theory and Applications

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

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

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

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

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

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

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

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

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

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