Radial basis function kernel: Difference between revisions

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expansion
Closed paren around "(when '''x''' = '''x'''')"
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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 '''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