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math.CA2013
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.
math.OC2013★ 2 cited
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…