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Mathematics > Numerical Analysis

arXiv:2003.09062 (math)
[Submitted on 20 Mar 2020]

Title:Tensor Completion through Total Variationwith Initialization from Weighted HOSVD

Authors:Zehan Chao, Longxiu Huang, Deanna Needell
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Abstract:In our paper, we have studied the tensor completion problem when the sampling pattern is deterministic. We first propose a simple but efficient weighted HOSVD algorithm for recovery from noisy observations. Then we use the weighted HOSVD result as an initialization for the total variation. We have proved the accuracy of the weighted HOSVD algorithm from theoretical and numerical perspectives. In the numerical simulation parts, we also showed that by using the proposed initialization, the total variation algorithm can efficiently fill the missing data for images and videos.
Comments: 8 pages, 6 figures, ITA 2020
Subjects: Numerical Analysis (math.NA)
Cite as: arXiv:2003.09062 [math.NA]
  (or arXiv:2003.09062v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2003.09062

Submission history

From: Zehan Chao [view email]
[v1] Fri, 20 Mar 2020 01:23:11 UTC (1,575 KB)
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