Radial basis function kernel: Difference between revisions

Revision as of 11:13, 28 April 2017

Revision as of 11:14, 28 April 2017

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Typically, these take the form of a function ''z'' that maps a single vector to a vector of higher dimensionality, approximating the kernel:

:<math>\langle z(\mathbf{x}) \| z(\mathbf{x'}) \rangle \approx \langle \varphi(\mathbf{x}) \| \varphi(\mathbf{x'}) \rangle = K(\mathbf{x}, \mathbf{x'})</math>

where <math>\textstyle\varphi</math> is the implicit mapping embedded in the RBF kernel.