Geodesic Convexity: Basic Definitions

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Covers geodesically convex optimization on Riemannian manifolds, exploring convexity properties and minimization relationships.

Explores geodesic convexity, focusing on properties of convex functions on manifolds.

Covers the properties and operations of convex functions.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.

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

Introduces optimization on manifolds, covering classical and modern techniques in the field.

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

Covers exercises on convex optimization, focusing on formulating and solving optimization problems using YALMIP and solvers like GUROBI and MOSEK.

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