File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1007/s10851-019-00933-9
- WOS: WOS:000500847700001
Supplementary
-
Citations:
- Web of Science: 0
- Appears in Collections:
Article: Tensor Factorization with Total Variation and Tikhonov Regularization for Low-Rank Tensor Completion in Imaging Data
Title | Tensor Factorization with Total Variation and Tikhonov Regularization for Low-Rank Tensor Completion in Imaging Data |
---|---|
Authors | |
Keywords | Tensor factorization Hybrid regularization Tensor completion Proximal alternating minimization |
Issue Date | 2020 |
Publisher | Kluwer Academic. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-9907 |
Citation | Journal of Mathematical Imaging and Vision, 2020, v. 62, p. 900–918 How to Cite? |
Abstract | The main aim of this paper is to study tensor factorization for low-rank tensor completion in imaging data. Due to the underlying redundancy of real-world imaging data, the low-tubal-rank tensor factorization (the tensor–tensor product of two factor tensors) can be used to approximate such tensor very well. Motivated by the spatial/temporal smoothness of factor tensors in real-world imaging data, we propose to incorporate a hybrid regularization combining total variation and Tikhonov regularization into low-tubal-rank tensor factorization model for low-rank tensor completion problem. We also develop an efficient proximal alternating minimization (PAM) algorithm to tackle the corresponding minimization problem and establish a global convergence of the PAM algorithm. Numerical results on color images, color videos, and multispectral images are reported to illustrate the superiority of the proposed method over competing methods. |
Persistent Identifier | http://hdl.handle.net/10722/304239 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ng, KP | - |
dc.contributor.author | Ng, MK | - |
dc.contributor.author | Zhao, X | - |
dc.date.accessioned | 2021-09-23T08:57:12Z | - |
dc.date.available | 2021-09-23T08:57:12Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Journal of Mathematical Imaging and Vision, 2020, v. 62, p. 900–918 | - |
dc.identifier.uri | http://hdl.handle.net/10722/304239 | - |
dc.description.abstract | The main aim of this paper is to study tensor factorization for low-rank tensor completion in imaging data. Due to the underlying redundancy of real-world imaging data, the low-tubal-rank tensor factorization (the tensor–tensor product of two factor tensors) can be used to approximate such tensor very well. Motivated by the spatial/temporal smoothness of factor tensors in real-world imaging data, we propose to incorporate a hybrid regularization combining total variation and Tikhonov regularization into low-tubal-rank tensor factorization model for low-rank tensor completion problem. We also develop an efficient proximal alternating minimization (PAM) algorithm to tackle the corresponding minimization problem and establish a global convergence of the PAM algorithm. Numerical results on color images, color videos, and multispectral images are reported to illustrate the superiority of the proposed method over competing methods. | - |
dc.language | eng | - |
dc.publisher | Kluwer Academic. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-9907 | - |
dc.relation.ispartof | Journal of Mathematical Imaging and Vision | - |
dc.subject | Tensor factorization | - |
dc.subject | Hybrid regularization | - |
dc.subject | Tensor completion | - |
dc.subject | Proximal alternating minimization | - |
dc.title | Tensor Factorization with Total Variation and Tikhonov Regularization for Low-Rank Tensor Completion in Imaging Data | - |
dc.type | Article | - |
dc.identifier.email | Ng, KP: michael.ng@hku.hk | - |
dc.identifier.email | Ng, MK: kkpong@hku.hk | - |
dc.identifier.authority | Ng, KP=rp02578 | - |
dc.identifier.authority | Ng, MK=rp02578 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s10851-019-00933-9 | - |
dc.identifier.hkuros | 325154 | - |
dc.identifier.volume | 62 | - |
dc.identifier.spage | 900 | - |
dc.identifier.epage | 918 | - |
dc.identifier.isi | WOS:000500847700001 | - |
dc.publisher.place | Netheralnds | - |