We consider the problem of recovering a symmetric, positive semidefinite (SPSD) matrix from a subset of its entries, possibly corrupted by noise. In contrast to previous matrix recovery work, we drop… (More)

198 INTRODUCTION Within the last decade, neural prosthetics have seen tremendous progress based on advances in neuroscience, robotics, controls, electrical engineering, and applied mathematics.… (More)

The first sequencing of a complete organism genome occurred in 1995. Since then there has been an explosion of information, with a new organism being sequenced nearly every week. This rapid… (More)

First, note that by assumption rank{A} > 0. Let Ω1 = ρ1 × ρ1 and Ω2 = ρ2 × ρ2 be the two index sets in the theorem. By assumption we have ρ1 × ρ1 ∪ ρ2 × ρ2 = Ω and Ω 6= [n]× [n]. If A1 is not met,… (More)