Title
A linear support higher order tensor domain description for one-class classification.
Abstract
One-class classification is an important problem encountered in a lot of applications. The datasets extracted from the real-world problems are often represented as tensors. The classical support vector domain description (SVDD) for one-class classification problems cannot work directly since its inputs are vectors. This paper develops a linear tensor-based algorithm named as Linear Support Tensor Domain Description (LSTDD) to find a closed hypersphere with the minimal volume in the tensor space which can contain almost entirely of the target samples. LSTDD can keep data topology and make the parameters need to be estimated less, and it is more suitable for learning the high dimensional and small sample size problem. Firstly, we detail the LSTDD model with 2nd-order tensors, and then extend it to the higher order tensors. It has been shown by experiments on the real-world datasets that LSTDD is a promising method for handling one-class classification problems with both 2nd-order and higher order tensor inputs.
Year
DOI
Venue
2018
10.3233/JIFS-17325
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
One-class classification,support vector domain description,support tensor machine,support tensor domain description
Discrete mathematics,One-class classification,Algebra,Higher order tensor,Mathematics
Journal
Volume
Issue
ISSN
34
6
1064-1246
Citations 
PageRank 
References 
0
0.34
16
Authors
3
Name
Order
Citations
PageRank
Yanyan Chen1163.59
Kuaini Wang2283.44
Ping Zhong3262.38