Title
Support vector machines for classification of input vectors with different metrics
Abstract
In this paper, a generalization of support vector machines is explored where it is considered that input vectors have different @?"p norms for each class. It is proved that the optimization problem for binary classification by using the maximal margin principle with @?"p and @?"q norms only depends on the @?"p norm if 1@?p@?q. Furthermore, the selection of a different bias in the classifier function is a consequence of the @?"q norm in this approach. Some commentaries on the most commonly used approaches of SVM are also given as particular cases.
Year
DOI
Venue
2011
10.1016/j.camwa.2011.03.071
Computers & Mathematics with Applications
Keywords
DocType
Volume
different metrics,support vector machine,particular case,classifier function,maximal margin principle,learning machine,q norm,pattern recognition,ℓ p norm,optimization problem,p norm,binary classification,input vector,different bias
Journal
61
Issue
ISSN
Citations 
9
Computers and Mathematics with Applications
4
PageRank 
References 
Authors
0.46
11
4
Name
Order
Citations
PageRank
L. Gonzalez-Abril11538.48
F. Velasco21065.83
J. A. Ortega3997.03
L. Franco461.19