77 citations · 318 across the 57 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.OC2015
Variational analysis of spectral functions simplified
D. Drusvyatskiy, C. Kempton
Spectral functions of symmetric matrices -- those depending on matrices only through their eigenvalues -- appear often in optimization. A cornerstone variational analytic tool for…
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.OC2015
Counting real critical points of the distance to orthogonally invariant matrix sets
Dmitriy Drusvyatskiy, Hon-Leung Lee, Rekha R. Thomas
Minimizing the Euclidean distance to a set arises frequently in applications. When the set is algebraic, a measure of complexity of this optimization problem is its number of criti…