Title
Robust Tensor Principal Component Analysis in All Modes
Abstract
Robust tensor principal component analysis extracts the low rank and sparse component of multi-dimensional data by tensor singular value decomposition (t-SVD), which can be used for many data analysis problems. However, the current t-SVD based methods cannot fully extract the low rank component in tensor data, and low rank structure still exists in the core tensor, because t-SVD does not decompose data in the third mode. To fully exploit the low rank structure, we further extract the low rank component using low rank plus sparsity for the core matrix whose entries are from the diagonal elements of the frontal slices in the core tensor. The proposed method is applied to three groups of numerical experiments on image denoising, illumination normalization for face images and motion separation for surveillance videos, respectively, and the results show that the proposed method outperforms state-of-the-art methods in terms of both accuracy and computational complexity.
Year
DOI
Venue
2018
10.1109/ICME.2018.8486550
2018 IEEE International Conference on Multimedia and Expo (ICME)
Keywords
Field
DocType
robust tensor principal component analysis,tensor singular value decomposition,core tensor singular value thresholding,low rank tensor approximation
Diagonal,Singular value decomposition,Normalization (statistics),Tensor,Pattern recognition,Matrix (mathematics),Computer science,Matrix decomposition,Stress (mechanics),Artificial intelligence,Principal component analysis
Conference
ISSN
ISBN
Citations 
1945-7871
978-1-5386-1738-0
0
PageRank 
References 
Authors
0.34
11
3
Name
Order
Citations
PageRank
Longxi Chen1272.34
Yipeng Liu211726.05
Ce Zhu31473117.79