A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds

We present Extended Riemannian Stochastic Derivative-Free Optimization (Extended RSDFO), a novel population-based stochastic optimization algorithm on Riemannian manifolds that addresses the locality and implicit assumptions of manifold optimization in the literature. We begin by investigating the I...

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Veröffentlicht in:	arXiv.org 2020-08
Hauptverfasser:	Robert Simon Fong, Tino, Peter
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Covariance matrix Euclidean geometry Geometry Manifolds (mathematics) Mathematical analysis Mathematics - Optimization and Control Matrix methods Optimization Riemann manifold Searching Swarm intelligence Theorems Topological manifolds
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