Noisy Low Rank Column-wise Sensing

Ankit Pratap Singh; Namrata Vaswani

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arXiv · 2409.08384

Noisy Low Rank Column-wise Sensing

Ankit Pratap Singh·Namrata Vaswani

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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 $\max(r, \log(1/\epsilon))/r$ where $r$ is the rank of the unknown matrix and $\epsilon$ 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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BibTeX RIS

Ankit Pratap Singh, Namrata Vaswani. 2024-09-12. Noisy Low Rank Column-wise Sensing. https://arxiv.org/abs/2409.08384

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