43 citations · 49 across the 5 of their papers we have counts for
5 papers
Second-order growth, tilt stability, and metric regularity of the subdifferential
D. Drusvyatskiy, B. S. Mordukhovich, T. T. A. Nghia
This paper sheds new light on several interrelated topics of second-order variational analysis, both in finite and infinite-dimensional settings. We establish new relationships bet…
Orthogonal Invariance and Identifiability
Aris Daniilidis, Dmitriy Drusvyatskiy, Adrian S. Lewis
Orthogonally invariant functions of symmetric matrices often inherit properties from their diagonal restrictions: von Neumann's theorem on matrix norms is an early example. We disc…
Clarke subgradients for directionally Lipschitzian stratifiable functions
Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis
Using a geometric argument, we show that under a reasonable continuity condition, the Clarke subdifferential of a semi-algebraic (or more generally stratifiable) directionally Lips…
Optimality, identifiability, and sensitivity
Dmitriy Drusvyatskiy, Adrian S. Lewis
Around a solution of an optimization problem, an "identifiable" subset of the feasible region is one containing all nearby solutions after small perturbations to the problem. A que…
Tilt stability, uniform quadratic growth, and strong metric regularity of the subdifferential
Dmitriy Drusvyatskiy, Adrian S. Lewis
We prove that uniform second order growth, tilt stability, and strong metric regularity of the limiting subdifferential --- three notions that have appeared in entirely different s…