Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Doctor Xuemei Chen,Department of Mathematics and Statistics University of North Carolina Wilmington
Inviter:	Professor Zhiqiang Xu
Title:	A Unified Recovery of Structured Signals Using Atomic Norm
Language:	Chinese
Time & Venue:	2023.06.12 14:00-15:00 N702
Abstract:	In many applications we seek to recover signals from linear measurements far fewer than the ambient dimension, given the signals have exploitable structures such as sparse vectors or low rank matrices. In this talk we work in a general setting where signals are approximately sparse in an so called atomic set. We provide general recovery results stating that a convex programming can stably and robustly recover signals if the null space of the sensing map satisfies certain properties. Moreover, we argue that such null space property can be satisfied with high probability if each measurement is subgaussian even when the number of measurements are very few. Some new results for recovering signals sparse in a frame, and recovering low rank matrices are also derived as a result.