: This paper formalizes UML class diagrams and structural patterns as mathematical objects and provides a precise notion of conformance of a structural model specified as a class d...
The process of rank aggregation is intimately intertwined with the structure of skew-symmetric matrices. We apply recent advances in the theory and algorithms of matrix completion...
By definition, transverse intersections are stable under infinitesimal perturbations. Using persistent homology, we extend this notion to a measure. Given a space of perturbatio...
Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Pat...
The theory of intersection homology was developed to study the singularities of a topologically stratified space. This paper incorporates this theory into the already developed f...
Abstract. We prove a weak version of the dynamic programming principle for standard stochastic control problems and mixed control-stopping problems, which avoids the technical di...