The slope robustly determines convex functions

DOI10.1090/proc/16503arXiv2303.16277MaRDI QIDQ6095806

Dmitriy Drusvyatskiy, Aris Daniilidis

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.16277

zbMATH Keywords

stabilityconvex functionsubgradientslope

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonsmooth analysis (49J52) Dynamics induced by flows and semiflows (37C10) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• Maximum length of steepest descent curves for quasi-convex functions
• Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions
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• Variational Analysis in Sobolev and BV Spaces
• Gradient Flows, Second-Order Gradient Systems and Convexity
• On steepest descent curves for quasi convex families in Rn
• Asymmetric free spaces and canonical asymmetrizations
• Determination of functions by metric slopes
• Determining functions by slopes

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