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  The connection between regularization operators and support vector kernels.

Smola, A., Schölkopf, B., & Müller, K.-R. (1998). The connection between regularization operators and support vector kernels. Neural networks, 11(4), 637-649. doi:10.1016/S0893-6080(98)00032-X.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-E865-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-C7B4-F
Genre: Journal Article

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Smola, AJ, Author              
Schölkopf, B1, Author              
Müller, K-R, Author              
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1External Organizations, ou_persistent22              

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 Abstract: n 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.

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 Dates: 1998-06
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: DOI: 10.1016/S0893-6080(98)00032-X
BibTex Citekey: 732
 Degree: -

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Title: Neural networks
Source Genre: Journal
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Publ. Info: New York : Pergamon
Pages: - Volume / Issue: 11 (4) Sequence Number: - Start / End Page: 637 - 649 Identifier: ISSN: 0893-6080
CoNE: https://pure.mpg.de/cone/journals/resource/954925558496