Title
Convex and concave hulls for classification with support vector machine
Abstract
The training of a support vector machine (SVM) has the time complexity of O(n^3) with data number n. Normal SVM algorithms are not suitable for classification of large data sets. Convex hull can simplify SVM training, however the classification accuracy becomes lower when there are inseparable points. This paper introduces a novel method for SVM classification, called convex-concave hull. After grid pre-processing, the convex hull and the concave (non-convex) hull are found by Jarvis march method. Then the vertices of the convex-concave hull are applied for SVM training. The proposed convex-concave hull SVM classifier has distinctive advantages on dealing with large data sets with higher accuracy. Experimental results demonstrate that our approach has good classification accuracy while the training is significantly faster than the other training methods.
Year
DOI
Venue
2013
10.1016/j.neucom.2013.05.040
Neurocomputing
Keywords
Field
DocType
convex hull,support vector machine,large data set,good classification accuracy,classification accuracy,normal svm algorithm,svm training,convex-concave hull,data number n,training method,svm classification
Structured support vector machine,Data set,Pattern recognition,Vertex (geometry),Support vector machine,Convex hull,Regular polygon,Artificial intelligence,Time complexity,Hull,Machine learning,Mathematics
Journal
Volume
ISSN
Citations 
122,
0925-2312
11
PageRank 
References 
Authors
0.53
21
3
Name
Order
Citations
PageRank
Asdrúbal López Chau18711.62
Xiaoou Li255061.95
Wen Yu328322.70