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Supervised tensor learning
Dacheng Tao; Xuelong Li; Xindong Wu; Weiming Hu; Stephen J. Maybank
2007-09-01
发表期刊KNOWLEDGE AND INFORMATION SYSTEMS
卷号13期号:1页码:1-42
文章类型Article
摘要Tensor representation is helpful to reduce the small sample size problem in discriminative subspace selection. As pointed by this paper, this is mainly because the structure information of objects in computer vision research is a reasonable constraint to reduce the number of unknown parameters used to represent a learning model. Therefore, we apply this information to the vector-based learning and generalize the vector-based learning to the tensor-based learning as the supervised tensor learning (STL) framework, which accepts tensors as input. To obtain the solution of STL, the alternating projection optimization procedure is developed. The STL framework is a combination of the convex optimization and the operations in multilinear algebra. The tensor representation helps reduce the overfitting problem in vector-based learning. Based on STL and its alternating projection optimization procedure, we generalize support vector machines, minimax probability machine, Fisher discriminant analysis, and distance metric learning, to support tensor machines, tensor minimax probability machine, tensor Fisher discriminant analysis, and the multiple distance metrics learning, respectively. We also study the iterative procedure for feature extraction within STL. To examine the effectiveness of STL, we implement the tensor minimax probability machine for image classification. By comparing with minimax probability machine, the tensor version reduces the overfitting problem.
关键词Convex Optimization Supervised Learning Tensor Alternating Projection
WOS标题词Science & Technology ; Technology
关键词[WOS]VISUAL-ATTENTION ; SUPPORT VECTOR ; DISCRIMINANT-ANALYSIS
收录类别SCI
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence ; Computer Science, Information Systems
WOS记录号WOS:000249657900001
引用统计
被引频次:181[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9439
专题09年以前成果
作者单位1.Univ London, Sch Comp Sci & Informat Syst, London, England
2.Univ Vermont, Dept Comp Sci, Burlington, VT USA
3.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Regnit, Beijing, Peoples R China
推荐引用方式
GB/T 7714
Dacheng Tao,Xuelong Li,Xindong Wu,et al. Supervised tensor learning[J]. KNOWLEDGE AND INFORMATION SYSTEMS,2007,13(1):1-42.
APA Dacheng Tao,Xuelong Li,Xindong Wu,Weiming Hu,&Stephen J. Maybank.(2007).Supervised tensor learning.KNOWLEDGE AND INFORMATION SYSTEMS,13(1),1-42.
MLA Dacheng Tao,et al."Supervised tensor learning".KNOWLEDGE AND INFORMATION SYSTEMS 13.1(2007):1-42.
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