噪声低等级列式传感

arXiv - EE - Signal Processing Pub Date : 2024-09-12 DOI:arxiv-2409.08384

Ankit Pratap Singh, Namrata Vaswani

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引用次数: 0

摘要

这篇文章研究了解决有噪声低秩列智传感（LRCS）问题的 AltGDmin 算法。我们的样本复杂度保证在现有最佳保证的基础上提高了一个因子 $\max(r,\log(1/\epsilon))/r$，其中 $r$ 是未知矩阵的秩，$\epsilon$ 是最终期望的精确度。

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Noisy Low Rank Column-wise Sensing

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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arXiv - EE - Signal Processing

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