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Reverted 1 edit by 2001:67C:10EC:52CB:8000:0:0:1FA1 (talk): That should be "applied to". but the old formulation was correct too. (TW) |
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:<math>K(\mathbf{x}, \mathbf{x'}) = \exp(\gamma||\mathbf{x} - \mathbf{x'}||_2^2)</math>
Since the value of the RBF kernel decreases with distance and ranges between zero (in the limit) and one (when {{math|'''x''' {{=}} '''x''''}}), it has a ready interpretation as a [[similarity measure]].<ref name="primer"/>
The [[feature space]] of the kernel has an infinite number of dimensions; for <math>\sigma = 1</math>, its expansion is:<ref>{{cite arXiv
|last=Shashua
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==See also==
* [[Gaussian function]]
* [[Polynomial kernel]]
* [[Radial basis function network]]
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