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Published in:
2005 | OriginalPaper | Chapter
The Infinite Polynomial Kernel for Support Vector Machine
Authors : Degang Chen, Qiang He, Xizhao Wang
Published in: Advanced Data Mining and Applications
Publisher: Springer Berlin Heidelberg
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This paper develops an infinite polynomial kernel
k
c
for support vector machines. We also propose a mapping from an original data space into the high dimensional feature space on which the inner product is defined by the infinite polynomial kernel
k
c
. Via this mapping, any two finite sets of data in the original space will become linearly separable in the feature space. Numerical experiments indicate that the proposed infinite polynomial kernel possesses some properties and performance better than the existing finite polynomial kernels.