Title: Rank Minimization over Affine Sets (II) Ben Recht Center for the Mathematics of Information California Institute of Technology ABSTRACT: Last week I presented a heuristic for the affine rank minimization problem and showed that if a certain restricted isometry property held for the affine set then the heuristic succeeded. This week I will present a collection of random affine sets for which the restricted isometry property holds with overwhelming probability. I will also discuss algorithmic approaches for solving the rank minimization heuristic efficiently.