3 papers
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…
math.OC2012
Locally symmetric submanifolds lift to spectral manifolds
Aris Daniilidis, Jerome Malick, Hristo Sendov
In this work we prove that every locally symmetric smooth submanifold gives rise to a naturally defined smooth submanifold of the space of symmetric matrices, called spectral manif…
math.CA2012
Rectifiability of Self-contracted curves in the Euclidean space and applications
Aris Daniilidis, Guy David, Estibalitz Durand-Cartagena +1
It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis, Ley, and Sabo…