Given linear matrix inequalities (LMIs) L1 and L2 in the same number of variables it is natural to ask: (Q1) does one dominate the other, that is, does L1(X) 0 imply L2(X) 0? (Q2) ...
Nonnegative Matrix Factorization (NMF) approximates a given data matrix as a product of two low rank nonnegative matrices, usually by minimizing the L2 or the KL distance between ...
This paper presents a novel solution for flow-based tracking and 3D reconstruction of deforming objects in monocular image sequences. A non-rigid 3D object undergoing rotation and...
Lorenzo Torresani, Danny B. Yang, Eugene J. Alexan...
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This c...
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in...
Kent Andersen, Quentin Louveaux, Robert Weismantel