Steepest geometric descent for regularized quasiconvex functions

Daniilidis, Aris; Salas, David

doi:10.48550/arXiv.2310.01364

Record link:

http://hdl.handle.net/20.500.12708/189737

Title:

Steepest geometric descent for regularized quasiconvex functions

Citation:

Daniilidis, A., & Salas, D. (2023). Steepest geometric descent for regularized quasiconvex functions. arXiv. https://doi.org/10.48550/arXiv.2310.01364

Publisher DOI:

10.48550/arXiv.2310.01364

Publication Type:

Preprint

Language:

English

Authors:

Daniilidis, Aris
Salas, David

Organisational Unit:

E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research

ArXiv ID:

2310.01364

Date (published):

2-Oct-2023

Number of Pages:

Preprint Server:

arXiv

Keywords:

Steepest descent curves; quasiconvex functions, ,; max-convolution; sweeping process

Abstract:

We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping process induced by the sublevel sets is reversible. We then use max-convolution to regularize general quasiconvex functions and obtain a result of the same nature in a more general setting.

Project title:

Unilateralität und Asymmetrie in der Variationsanalyse: P 36344N (FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF))

Project (external):

BASAL funds for centers of excellence (ANID-Chile)
FONDECYT (Chile)

Project ID:

CMM FB210005
11220586

Research Areas:

Mathematical and Algorithmic Foundations: 100%

Science Branch:

1010 - Mathematik: 100%

Appears in Collections:

Preprint

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