In this paper, we consider low rank matrix recovery with impulsive noise. We first study the difference of nuclear norm and Frobenius norm model and present a stable recovery result based on the matrix restricted isometry property. Then we find the truncated difference of nuclear norm and Frobenius norm model can also stably recover low rank matrices with impulsive noise.

中文翻译：

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具有脉冲噪声的低秩矩阵恢复

在本文中，我们考虑了具有脉冲噪声的低秩矩阵恢复。我们首先研究了核范数和 Frobenius 范数模型的差异，并提出了基于矩阵限制等距性质的稳定恢复结果。然后我们发现核范数的截断差和 Frobenius 范数模型也可以稳定地恢复具有脉冲噪声的低秩矩阵。