Noisy Low Rank Column-wise Sensing

Ankit Pratap Singh, Namrata Vaswani

Abstract: This letter studies the AltGDmin algorithm for solving the noisy low rank column-wise sensing (LRCS) problem. Our sample complexity guarantee improves upon the best existing one by a factor $\max(r, \log(1/ε))/r$ where $r$ is the rank of the unknown matrix and $ε$ is the final desired accuracy. A second contribution of this work is a detailed comparison of guarantees from all work that studies the exact same mathematical problem as LRCS, but refers to it by different names.

External IDs:dblp:journals/corr/abs-2409-08384