ANOVA Radial Basis Kernel

The ANOVA Radial Basis Kernel The ANOVA radial basis kernel is closely related from ENG 101 at Westlake High

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coursehero.com

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jamesmccaffrey.wordpress.com

Gaussian Kernel

in front of the one-dimensional Gaussian kernel is the normalization constant. It comes from the fact that the integral over the exponential function is not unity: ¾- e- x2 2 s 2 Ç x = !!!!! !!! 2 p s . With the normalization constant this Gaussian kernel is a normalized kernel, i.e. its integral over its full domain is unity for every s .

source:
stat.wisc.edu

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youtube.com

Gaussian Radial Basis Function (RBF)

The RBF kernel on two samples x and x', represented as feature vectors in some input space, is defined as (, ′) = (− ‖ − ′ ‖) ‖ − ′ ‖ may be recognized as the squared Euclidean distance between the two feature vectors.

source:
en.wikipedia.org

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researchgate.net

Hyperbolic Tangent Kernel

Hyperbolic Tangent kernels are sometimes also called Sigmoid Kernels or tanh kernels and are defined as $$ k(x,x^\prime)=\tanh\left(\nu+ x\cdot x^\prime\right) $$ This website provides some discussion.

source:
stats.stackexchange.com

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slideplayer.com

Laplace RBF Kernel

An intriguing article. To look at an RBF kernel as a low pass filter is something novel. It also basically shows why RBF kernels work brilliantly on high dimensional images.

source:
calculatedcontent.com

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youtube.com

Sigmoid Kernel

The linear kernel is what you would expect, a linear model. I believe that the polynomial kernel is similar, but the boundary is of some defined but arbitrary order (e.g. order 3: $ a= b_1 + b_2 \cdot X + b_3 \cdot X^2 + b_4 \cdot X^3$).

source:
stats.stackexchange.com