2 papers
math.OC2015
Generic minimizing behavior in semi-algebraic optimization
D. Drusvyatskiy, A. D. Ioffe, A. S. Lewis
We present a theorem of Sard type for semi-algebraic set-valued mappings whose graphs have dimension no larger than that of their range space: the inverse of such a mapping admits…
math.OC2012
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…