Curvature-Dependant Global Convergence Rates for Optimization on Manifolds of Bounded Geometry

We give curvature-dependant convergence rates for the optimization of weakly convex functions defined on a manifold of 1-bounded geometry via Riemannian gradient descent and via the dynamic trivialization algorithm. In order to do this, we give a tighter bound on the norm of the Hessian of the Riema...

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Bibliographische Detailangaben

1. Verfasser:	Lezcano-Casado, Mario
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Numerical Analysis Mathematics - Differential Geometry Mathematics - Numerical Analysis Mathematics - Optimization and Control Statistics - Machine Learning
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