Bregman Proximal Mappings and Bregman–Moreau Envelopes Under Relative Prox-Regularity

We systematically study the local single-valuedness of the Bregman proximal mapping and local smoothness of the Bregman–Moreau envelope of a nonconvex function under relative prox-regularity—an extension of prox-regularity—which was originally introduced by Poliquin and Rockafellar. As Bregman dista...

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Veröffentlicht in:	Journal of optimization theory and applications 2020-03, Vol.184 (3), p.724-761
Hauptverfasser:	Laude, Emanuel, Ochs, Peter, Cremers, Daniel
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control Optimization Composite functions Engineering Mapping Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Regularity Regularization Smoothness Theory of Computation
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