Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives
نویسندگان
چکیده
Abstract The paper utilizes Hölder graphical derivatives for characterizing strong subregularity, isolated calmness and sharp minimum. As applications, we characterize in linear semi-infinite optimization minimizers of some penalty functions constrained optimization.
منابع مشابه
Antibacterial thymol derivatives isolated from Centipeda minima.
Two new monoterpenoids, 8,10-dihydroxy-9(2)-methylbutyryloxythymol (1) and 10-hydroxy-8,9-dioxyisopropylidene-thymol (2), together with five known thymol derivatives: 8,9,10-trihydroxythymol (3), thymol-beta-glucopyranoside (4), 9-hydroxythymol (5), 8,10-dihydroxy-9-isobutyryloxythymol (6), and 8-hydroxy-9,10-diisobutyryloxythymol (7), were isolated from Centipeda minima. Their structures were ...
متن کاملSharp Minima Can Generalize For Deep Nets
Despite their overwhelming capacity to overfit, deep learning architectures tend to generalize relatively well to unseen data, allowing them to be deployed in practice. However, explaining why this is the case is still an open area of research. One standing hypothesis that is gaining popularity, e.g. Hochreiter & Schmidhuber (1997); Keskar et al. (2017), is that the flatness of minima of the lo...
متن کاملWeak Sharp Minima in Multicriteria Linear Programming
In this short note, we study the existence of weak sharp minima in multicriteria linear programming. It is shown that weak sharp minimality holds for certain residual functions and gap functions.
متن کاملWeak Sharp Minima on Riemannian Manifolds
This is the first paper dealing with the study of weak sharp minima for constrained optimization problems on Riemannian manifolds, which are important in many applications. We consider the notions of local weak sharp minima, boundedly weak sharp minima, and global weak sharp minima for such problems and establish their complete characterizations in the case of convex problems on finite-dimensio...
متن کاملWeak sharp minima in multiobjective optimization
We extend some necessary and sufficient conditions for strict local Pareto minima of orderm obtained by Jiménez (2002) to the case of weak ψ-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Set-valued and Variational Analysis
سال: 2022
ISSN: ['1877-0541', '1877-0533']
DOI: https://doi.org/10.1007/s11228-022-00628-1