“low-rank”

Abstract: Recent astronomical observations open the possibility to directly image circumstellar disks, a key feature for our understanding of extra-solar systems. However, the faint intensity of these celestial signals compared to the brightness of their hosting star make their accurate characterization a challenging processing task.

Abstract: This note studies the worst-case recovery error of low-rank and bisparse matrices as a function of the number of one-bit measurements used to acquire them. First, by way of the concept of consistency width, precise estimates are given on how fast the recovery error can in theory decay.