Outlier-robust tensor PCA

Low-rank tensor analysis is important for various real applications in computer vision. However, existing methods focus on recovering a low-rank tensor contaminated by Gaussian or gross sparse noise and hence cannot effectively handle outliers that are common in practical tensor data. To solve this...

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Main Authors: ZHOU, Pan, FENG, Jiashi
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Language:English
Published: Institutional Knowledge at Singapore Management University 2016
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Online Access:https://ink.library.smu.edu.sg/sis_research/9008
https://ink.library.smu.edu.sg/context/sis_research/article/10011/viewcontent/2017_CVPR_RTPCA.pdf
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spelling sg-smu-ink.sis_research-100112024-07-25T08:14:39Z Outlier-robust tensor PCA ZHOU, Pan FENG, Jiashi Low-rank tensor analysis is important for various real applications in computer vision. However, existing methods focus on recovering a low-rank tensor contaminated by Gaussian or gross sparse noise and hence cannot effectively handle outliers that are common in practical tensor data. To solve this issue, we propose an outlier-robust tensor principle component analysis (OR-TPCA) method for simultaneous low-rank tensor recovery and outlier detection. For intrinsically low-rank tensor observations with arbitrary outlier corruption, OR-TPCA is the first method that has provable performance guarantee for exactly recovering the tensor subspace and detecting outliers under mild conditions. Since tensor data are naturally high-dimensional and multi-way, we further develop a fast randomized algorithm that requires small sampling size yet can substantially accelerate OR-TPCA without performance drop. Experimental results on four tasks: outlier detection, clustering, semi-supervised and supervised learning, clearly demonstrate the advantages of our method. 2016-07-01T07:00:00Z text application/pdf https://ink.library.smu.edu.sg/sis_research/9008 info:doi/10.1109/CVPR.2017.419 https://ink.library.smu.edu.sg/context/sis_research/article/10011/viewcontent/2017_CVPR_RTPCA.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Computing and Information Systems eng Institutional Knowledge at Singapore Management University Artificial Intelligence and Robotics Graphics and Human Computer Interfaces
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Artificial Intelligence and Robotics
Graphics and Human Computer Interfaces
spellingShingle Artificial Intelligence and Robotics
Graphics and Human Computer Interfaces
ZHOU, Pan
FENG, Jiashi
Outlier-robust tensor PCA
description Low-rank tensor analysis is important for various real applications in computer vision. However, existing methods focus on recovering a low-rank tensor contaminated by Gaussian or gross sparse noise and hence cannot effectively handle outliers that are common in practical tensor data. To solve this issue, we propose an outlier-robust tensor principle component analysis (OR-TPCA) method for simultaneous low-rank tensor recovery and outlier detection. For intrinsically low-rank tensor observations with arbitrary outlier corruption, OR-TPCA is the first method that has provable performance guarantee for exactly recovering the tensor subspace and detecting outliers under mild conditions. Since tensor data are naturally high-dimensional and multi-way, we further develop a fast randomized algorithm that requires small sampling size yet can substantially accelerate OR-TPCA without performance drop. Experimental results on four tasks: outlier detection, clustering, semi-supervised and supervised learning, clearly demonstrate the advantages of our method.
format text
author ZHOU, Pan
FENG, Jiashi
author_facet ZHOU, Pan
FENG, Jiashi
author_sort ZHOU, Pan
title Outlier-robust tensor PCA
title_short Outlier-robust tensor PCA
title_full Outlier-robust tensor PCA
title_fullStr Outlier-robust tensor PCA
title_full_unstemmed Outlier-robust tensor PCA
title_sort outlier-robust tensor pca
publisher Institutional Knowledge at Singapore Management University
publishDate 2016
url https://ink.library.smu.edu.sg/sis_research/9008
https://ink.library.smu.edu.sg/context/sis_research/article/10011/viewcontent/2017_CVPR_RTPCA.pdf
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