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The slope robustly determines convex functions

2023/03/28 by Aris Daniilidis, Daniilidis, Aris, Dmitriy Drusvyatskiy +1
Computer Science · #Optimization and Variational Analysis #Computational Drug Discovery Methods

paper · pdf · doi:10.48550/arxiv.2303.16277

Abstract

We show that the deviation between the slopes of two convex functions controls the deviation between the functions themselves. This result reveals that the slope -- a one dimensional construct -- robustly determines convex functions, up to a constant of integration.

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