Title
Projection multi-birth support vector machinea for multi-classification
Abstract
As an important multi-classification learning tool, multi-birth support vector machine (MBSVM) has been widely studied and applied due to its low computational complexity and good generalization. In this paper, a new multi-birth support vector machine is proposed to handle multi-class classification problem, called projection multi-birth support vector machine (PMBSVM). Specifically, we intend to seek a projection direction w(k) for k-th class, so that the covariance of remaining samples (except the k-th class) is as small as possible, and the samples of k-th class are as far as possible from the mean of the remaining samples. The proposed PMBSVM not only inherits the advantages of MBSVM, but also can find a suitable projection direction for each class so that the sample is separable in the projection space. Additionally, a regularization term is introduced to maximize the margin of different classes in the projected space. Moreover, a recursive PMBSVM algorithm is proposed for generating multiple orthogonal projection directions for each class. Then we extend the proposed approaches to nonlinear situations through kernel technology. Simulation results on benchmark datasets show that the proposed algorithms improve the generalization in most cases.
Year
DOI
Venue
2020
10.1007/s10489-020-01699-z
APPLIED INTELLIGENCE
Keywords
DocType
Volume
Multi-classification,Multi-birth support vector machine,Projection multi-birth support vector machine
Journal
50.0
Issue
ISSN
Citations 
10
0924-669X
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Yakun Wen101.69
Jun Ma24719.80
Chao Yuan323.07
Liming Yang457.48