A Novel Two-Dimensional Tensor Sparse Coding Algorithm for Image Representation
Sparse coding (SC) is an automatic feature extraction and selection technique that is widely used in unsupervised learning. However, conventional sparse coding vectorizes the input images, which breaks apart the local proximity of pixels and destructs the elementary objects of images. In this paper,...
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| Vydáno v: | Procedia computer science Ročník 131; s. 234 - 242 |
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| Jazyk: | angličtina |
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Elsevier B.V
2018
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| ISSN: | 1877-0509, 1877-0509 |
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| Abstract | Sparse coding (SC) is an automatic feature extraction and selection technique that is widely used in unsupervised learning. However, conventional sparse coding vectorizes the input images, which breaks apart the local proximity of pixels and destructs the elementary objects of images. In this paper, we propose a novel two-dimensional sparse coding (2DSC) model that represents gray images as the tensor-linear combinations under a novel algebraic framework. 2DSC learns much more concise dictionaries because of the circular convolution operator, since the shifted versions of the learned atoms by conventional SC is treated the same. We apply 2DSC to natural images and demonstrate that 2DSC returns meaningful dictionaries for large patches, which is not true for conventional SC. |
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| AbstractList | Sparse coding (SC) is an automatic feature extraction and selection technique that is widely used in unsupervised learning. However, conventional sparse coding vectorizes the input images, which breaks apart the local proximity of pixels and destructs the elementary objects of images. In this paper, we propose a novel two-dimensional sparse coding (2DSC) model that represents gray images as the tensor-linear combinations under a novel algebraic framework. 2DSC learns much more concise dictionaries because of the circular convolution operator, since the shifted versions of the learned atoms by conventional SC is treated the same. We apply 2DSC to natural images and demonstrate that 2DSC returns meaningful dictionaries for large patches, which is not true for conventional SC. |
| Author | Jiang, Fei Lu, Jiaren Shen, Ruimin |
| Author_xml | – sequence: 1 givenname: Jiaren surname: Lu fullname: Lu, Jiaren organization: Shanghai Jiao Tong University, No.800 Dongchuan RD, Shanghai 200240, China – sequence: 2 givenname: Fei surname: Jiang fullname: Jiang, Fei organization: Shanghai Jiao Tong University, No.800 Dongchuan RD, Shanghai 200240, China – sequence: 3 givenname: Ruimin surname: Shen fullname: Shen, Ruimin email: rmshen@sjtu.edu.cn organization: Shanghai Jiao Tong University, No.800 Dongchuan RD, Shanghai 200240, China |
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| Keywords | Sparse Coding Tensor-linear Combination |
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| Title | A Novel Two-Dimensional Tensor Sparse Coding Algorithm for Image Representation |
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