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arXiv · 2310.01364

Steepest geometric descent for regularized quasiconvex functions

Aris Daniilidis·David Salas
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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 flow 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.

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Aris Daniilidis, David Salas. 2023-10-02. Steepest geometric descent for regularized quasiconvex functions. https://arxiv.org/abs/2310.01364

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