The characterization of $/ell_1$ minimizer in one-bit compressed sensing

题目：The characterization of $/ell_1$ minimizer in one-bit compressed sensing

时间：12.14下午2:30-3:30 学术报告，3:30-5:00自由讨论

地点：教十一417

报告人：毕宁（中山大学）

摘要：One-bit compressed sensing (one-bit CS) has been studied in many fields such as sparse signal recovery, imaging processing and matrix completion. Due to the amplitude information of sparse signal in one-bit CS is not available, it is often the support or the sign of a signal that can be exactly recovered with a decoding method. In this talk, we focus on one-bit CS theory with the model /(/min/{/|x/|_1 : YAx/geq 0, /|Ax/|_1=q/}/) and presented a necessary and sufficient condition such that a signal /(/bar x/) to be the unique /(/ell_1/) minimizer in noiseless one-bit CS. By the improved separation theorem of convex sets, a completed characterization of /(/ell_1/) minimizer in one-bit CS is given.

联系人：郭正初（guozhengchu@zju.edu.cn）