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Noisy Low Rank Column-wise Sensing

2024/09/12 by Singh, Ankit Pratap, Vaswani, Namrata
#FOS: Computer and information sciences #FOS: Electrical engineering #Machine Learning (cs.LG) #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2409.08384

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.

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