Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm

Lu, Canyi; Feng, Jiashi; Chen, Yudong; Liu, Wei; Lin, Zhouchen; Yan, Shuicheng

doi:10.1109/tpami.2019.2891760

Public

Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm

Published in IEEE Transactions on Pattern Analysis and Machine Intelligence • Jan 9, 2019

Authors:

Canyi Lu

Jiashi Feng

Yudong Chen

Abstract

In this paper, we consider the Tensor Robust Principal Component Analysis (TRPCA) problem, which aims to exactly recover the low-rank and sparse components from their sum. Our model is based on the recently proposed tensor-tensor product (or t-product) [14]. Induced by the t-product, we first rigoro...

Subject

Robust principal component analysis

Matrix norm

Cartesian tensor

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