Title
Exploring different kernel functions for kernel-based clustering
Abstract
AbstractKernel methods are ones that, by replacing the inner product with positive definite function, implicitly perform a non-linear mapping of input data into a high dimensional feature space. Kernel functions are used to make this mapping in higher dimension redundant. These kernel functions play an important role in classification. The kernel-based clustering methods are found to be superior in accuracy to the conventional ones. The choice of kernel function is neither easy nor trivial. Various types of kernel based clustering methods have been studied so far by many researchers, where Gaussian kernel, in particular, has been found to be useful. In this study, we present a comprehensive comparative analysis of kernel based hybrid c-means clustering using different kernel functions. We have incorporated Mercer kernel functions positive definite kernels as well as conditionally positive definite kernel functions. Various synthetic datasets and real-life datasets are used for analysis. Experiments results show that there exist other robust kernel functions which hold like Gaussian kernel.
Year
DOI
Venue
2016
10.1504/IJAISC.2016.078482
Periodicals
Field
DocType
Volume
Radial basis function kernel,Computer science,Tree kernel,Kernel principal component analysis,Artificial intelligence,String kernel,Mathematical optimization,Pattern recognition,Kernel embedding of distributions,Kernel method,Variable kernel density estimation,Machine learning,Kernel (statistics)
Journal
5
Issue
ISSN
Citations 
3
1755-4950
0
PageRank 
References 
Authors
0.34
9
2
Name
Order
Citations
PageRank
Meena Tushir1122.36
Smriti Srivastava213719.60