77 citations · 318 across the 57 of their papers we have counts for
4 papers · 1 filter
Orbits of geometric descent
Aris Daniilidis, Dmitriy Drusvyatskiy, A. S. Lewis
We prove that quasiconvex functions always admit descent trajectories bypassing all non-minimizing critical points.
Quadratic growth and critical point stability of semi-algebraic functions
D. Drusvyatskiy, A. D. Ioffe
We show that quadratic growth of a semi-algebraic function is equivalent to strong metric subregularity of the subdifferential --- a kind of stability of generalized critical point…
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…