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The connection between regularization operators and support vector kernels
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DOI：10.1016/S0893-6080(98)00032-X.png)
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摘要
En 中文
In this paper a correspondence is derived between regularization operators used in regularization networks and support vector kernels. We prove that the Green's Functions associated with regularization operators are suitable support vector kernels with equivalent regularization properties. Moreover, the paper provides an analysis of currently used support vector kernels in the view of regularization theory and corresponding operators associated with the classes of both polynomial kernels and translation invariant kernels. The latter are also analyzed on periodical domains. As a by-product we show that a large number of radial basis functions, namely conditionally positive definite functions, may be used as support vector kernels. (C) 1998 Elsevier Science Ltd. All rights reserved.
Keyword:
support vector machines
Mercer kernel
regularization networks
ridge regression
Green's Functions
conditionally positive
definite functions
polynomial kernels
radial basis functions
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