Fast Robust Tensor Principal Component Analysis via Fiber CUR Decomposition *

  title={Fast Robust Tensor Principal Component Analysis via Fiber CUR Decomposition *},
  author={HanQin Cai and Zehan Chao and Longxiu Huang and Deanna Needell},
  journal={2021 IEEE/CVF International Conference on Computer Vision Workshops (ICCVW)},
  • HanQin Cai, Zehan Chao, D. Needell
  • Published 23 August 2021
  • Computer Science
  • 2021 IEEE/CVF International Conference on Computer Vision Workshops (ICCVW)
We study the problem of tensor robust principal component analysis (TRPCA), which aims to separate an underlying low-multilinear-rank tensor and a sparse outlier tensor from their sum. In this work, we propose a fast non-convex algorithm, coined Robust Tensor CUR (RTCUR), for large-scale TRPCA problems. RTCUR considers a framework of alternating projections and utilizes the recently developed tensor Fiber CUR decomposition to dramatically lower the computational complexity. The performance… 

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