The Gradient Projection Algorithm for Smooth Sets and Functions in Nonconvex Case
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DOI: 10.1007/s11228-020-00550-4
Abstract: We consider the problem of minimization for a function with Lipschitz continuous gradient on a proximally smooth and smooth manifold in a finite dimensional Euclidean space. We consider the Lezanski-Polyak-Lojasiewicz (LPL) conditions in this problem… read more here.
Keywords: algorithm smooth; projection algorithm; gradient projection; smooth sets ... See more keywords
Rectifiable Curves in Proximally Smooth Sets
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DOI: 10.1007/s11228-021-00612-1
Abstract: We provide an algorithm of constructing a rectifiable curve between two sufficiently close points of a proximally smooth set in a uniformly convex and uniformly smooth Banach space. Our algorithm returns a reasonably short curve… read more here.
Keywords: rectifiable curves; smooth set; proximally smooth; curves proximally ... See more keywords