The nearest singular polynomials to a given polynomial have been studied in [1], based on minimization of quadratic forms. An equivalent expression of the quadratic form is present...
Graph matching is a fundamental problem that arises frequently in the areas of distributed control, computer vision, and facility allocation. In this paper, we consider the optimal...
Inspired by a question of Lov´asz, we introduce a hierarchy of nested semidefinite relaxations of the convex hull of real solutions to an arbitrary polynomial ideal, called theta...
We use convex relaxation techniques to provide a sequence of regularized low-rank solutions for large-scale matrix completion problems. Using the nuclear norm as a regularizer, we...
The most suitable method for the automated classification of protein structures remains an open problem in computational biology. In order to classify a protein structure with an...