A collection of nonsmooth Riemannian optimization problems
A collection of nonsmooth Riemannian optimization problems
Dokument öffnen (365.7KB)Datum der Veröffentlichung
09.2017Verlag / herausgebende Einrichtung
Institut für Numerische Simulation (INS)Verlagsort
BonnMetadaten
Zur Langanzeige
Zitierbarer Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11832
Inhalt
Nonsmooth Riemannian optimization is a still scarcely explored subfield of optimization theory that concerns the general problem of minimizing (or maximizing), over a domain endowed with a manifold structure, a real-valued function that is not everywhere differentiable. The purpose of this paper is to illustrate, by means of nine concrete examples, that nonsmooth Riemannian optimization finds numerous applications in engineering and the sciences.
Schlagwörter
Nonsmooth optimization, Riemannian optimization, Optimization on manifolds
Klassifikation (DDC)
510 Mathematik 518 Numerische AnalysisErstpublikation
https://ins.uni-bonn.de/publication/preprintsZugehörige Publikation(en)
https://doi.org/10.1007/978-3-030-11370-4_1Reihe, Nummer
INS Preprints ; 1713Absil, Pierre-Antoine; Hosseini, Seyedehsomayeh: A collection of nonsmooth Riemannian optimization problems. In: INS Preprints, 1713.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11832
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11832
@unpublished{handle:20.500.11811/11832,
author = {{Pierre-Antoine Absil} and {Seyedehsomayeh Hosseini}},
title = {A collection of nonsmooth Riemannian optimization problems},
publisher = {Institut für Numerische Simulation (INS)},
year = 2017,
month = sep,
INS Preprints},
volume = 1713,
note = {Nonsmooth Riemannian optimization is a still scarcely explored subfield of optimization theory that concerns the general problem of minimizing (or maximizing), over a domain endowed with a manifold structure, a real-valued function that is not everywhere differentiable. The purpose of this paper is to illustrate, by means of nine concrete examples, that nonsmooth Riemannian optimization finds numerous applications in engineering and the sciences.},
url = {https://hdl.handle.net/20.500.11811/11832}
}
author = {{Pierre-Antoine Absil} and {Seyedehsomayeh Hosseini}},
title = {A collection of nonsmooth Riemannian optimization problems},
publisher = {Institut für Numerische Simulation (INS)},
year = 2017,
month = sep,
INS Preprints},
volume = 1713,
note = {Nonsmooth Riemannian optimization is a still scarcely explored subfield of optimization theory that concerns the general problem of minimizing (or maximizing), over a domain endowed with a manifold structure, a real-valued function that is not everywhere differentiable. The purpose of this paper is to illustrate, by means of nine concrete examples, that nonsmooth Riemannian optimization finds numerous applications in engineering and the sciences.},
url = {https://hdl.handle.net/20.500.11811/11832}
}
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