fastmath.kernel.rbf — generateme/fastmath 3.0.0-alpha1

Radial Basis Functions.

Collection of RBF kernels.

Each kernel supports scale parameter.

gaussian clj

(gaussian)

(gaussian {:keys [scale] :or {scale 1.0}})

Gaussian kernel

gaussians-laguerre clj

(gaussians-laguerre)

(gaussians-laguerre {:keys [dimension degree scale] :or {scale 1.0}})

Gaussians-Laguerre kernel with dimension (double) and degree (long)

generalized-multiquadratic clj

(generalized-multiquadratic)

(generalized-multiquadratic {:keys [beta negate? scale]
                             :or {scale 1.0 negate? :auto}})

Generalized multiquadratic kernel with beta exponent.

Can be negated if :negate? is set to true or default :auto (negate for cases when ceil of half beta is even).

gneiting clj

(gneiting)

(gneiting {:keys [s l scale] :or {scale 1.0}})

Gneiting kernel family with parameters s and l.

linear clj

(linear)

(linear {:keys [scale] :or {scale 1.0}})

Linear kernel

matern clj

(matern)

(matern {:keys [order scale] :or {scale 1.0}})

Matern kernel for odd order based on Bessel function of the second kind of order/2 order.

For example for kernel 5/2 use order equal 5

poisson clj

(poisson)

(poisson {:keys [d scale] :or {scale 1.0}})

Poisson (or Bessel) kernel for d (double)

radial-powers clj

(radial-powers)

(radial-powers {:keys [beta negate? scale] :or {scale 1.0 negate? :auto}})

Radial powers kernel with beta exponent.

Can be negated if :negate? is set to true or default :auto (negate for cases when ceil of half beta is even).

shifted-surface-splines clj

(shifted-surface-splines)

(shifted-surface-splines {:keys [s beta scale] :or {scale 1.0}})

Shifter surface splines kernel family with parameters s and beta

thin-plate-splines clj

(thin-plate-splines)

(thin-plate-splines {:keys [beta negate? scale] :or {scale 1.0 negate? :auto}})

Thin-plate splines kernel with beta exponent.

Can be negated if :negate? is set to true or default :auto (negate for cases when ceil of half of beta is even).

truncated-power clj

(truncated-power)

(truncated-power {:keys [k scale] :or {scale 1.0}})

Truncated power kernel with k exponent.

wendland clj

(wendland)

(wendland {:keys [s k scale] :or {scale 1.0}})

Wendland kernel family with parameters s and k. Only k < 5 is supported.

whittaker clj

(whittaker)

(whittaker {:keys [alpha k beta scale] :or {scale 1.0}})

Wittaker kernel family.

Closed form expressions are used for alpha equal 0 or 1 and k equal 2 or 3. Other cases use numerical integration

wu clj

(wu)

(wu {:keys [l k scale] :or {scale 1.0}})

Wu kernel family with parameters l (double) and k (long).

Integer l from 0 to 3 and k from 0 to l has closed from expressions. Other cases use numerical integration and differentiation and might be unstable.