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A Low-Rank Approximation-Based Transductive Support Tensor Machine for Semisupervised Classification

delete2015-06-01
delete28
PRE
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刘
刘晓兰 (Xiaolan Liu) *
T
Tengjiao Guo
L
Lifang He
杨晓伟 封面图
杨晓伟 (Xiaowei Yang)
DOI:10.1109/TIP.2015.2403235delete
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摘要

摘要

En 中文
In the fields of machine learning, pattern recognition, image processing, and computer vision, the data are usually represented by the tensors. For the semisupervised tensor classification, the existing transductive support tensor machine (TSTM) needs to resort to iterative technique, which is very time-consuming. In order to overcome this shortcoming, in this paper, we extend the concave-convex procedure-based transductive support vector machine (CCCP-TSVM) to the tensor patterns and propose a low-rank approximation-based TSTM, in which the tensor rank-one decomposition is used to compute the inner product of the tensors. Theoretically, concave-convex procedure-based TSTM (CCCP-TSTM) is an extension of the linear CCCP-TSVM to tensor patterns. When the input patterns are vectors, CCCP-TSTM degenerates into the linear CCCP-TSVM. A set of experiments is conducted on 23 semisupervised classification tasks, which are generated from seven second-order face data sets, three third-order gait data sets, and two third-order image data sets, to illustrate the performance of the CCCP-TSTM. The results show that compared with CCCP-TSVM and TSTM, CCCP-TSTM provides significant performance gain in terms of test accuracy and training speed.
Keyword:
Concave-convex procedure
semi-supervised tensor classification
tensor rank-one decomposition
transductive support tensor machine (TSTM)
transductive support vector machine (TSVM)
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期刊

IEEE Transactions on Image Processing 封面图
IEEE Transactions on Image Processing
IF:
13.7
论文数:
1.0W
被引数:
8.4W

机构

S
shenzhen university
学者数:
4.6W
论文数: 3.4W
被引数: 72
S
south china university of technology
学者数:
6.8W
论文数: 5.1W
被引数: 85
引用论文

引用论文

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