Title
Optimal Kernel in a Class of Kernels with an Invariant Metric
Abstract
Learning based on kernel machines is widely known as a powerful tool for various fields of information science such as pattern recognition and regression estimation. One of central topics of kernel machines is model selection, especially selection of a kernel or its parameters. In this paper, we consider a class of kernels that forms a monotonic classes of reproducing kernel Hilbert spaces with an invariant metric and show that the kernel corresponding to the smallest reproducing kernel Hilbert space including an unknown true function gives the optimal model for the unknown true function.
Year
DOI
Venue
2008
10.1007/978-3-540-89689-0_57
SSPR/SPR
Keywords
Field
DocType
optimal kernel,optimal model,smallest reproducing kernel hilbert,kernel machine,pattern recognition,central topic,monotonic class,unknown true function,reproducing kernel hilbert space,information science,invariant metric,model selection
Pattern recognition,Algebra,Radial basis function kernel,Kernel embedding of distributions,Kernel principal component analysis,Polynomial kernel,Artificial intelligence,String kernel,Variable kernel density estimation,Mathematics,Reproducing kernel Hilbert space,Kernel (statistics)
Conference
Volume
ISSN
Citations 
5342
0302-9743
12
PageRank 
References 
Authors
1.00
7
4
Name
Order
Citations
PageRank
Akira Tanaka13812.20
Hideyuki Imai210325.08
Mineichi Kudo3927116.09
Masaaki Miyakoshi49920.27