saealib.CubicKernel#

class saealib.CubicKernel[source]#

Bases: RBFKernel

Cubic radial basis function kernel.

This conditionally positive definite kernel has order 1 and requires a linear polynomial term for a well-posed system. Based on [16].

Methods

`__init__`
`evaluate`	Evaluate the cubic kernel for a radial-distance matrix.
`pairwise`	Evaluate the kernel between every row of `x1` and `x2`.
`resolve`	Return a kernel whose data-dependent parameters are resolved.
`validate`	Validate static kernel configuration.

Method Details

CubicKernel.__init__()#

Return type:: None

CubicKernel.evaluate(r)[source]#

Evaluate the cubic kernel for a radial-distance matrix.

Parameters:: r (ndarray)
Return type:: ndarray

CubicKernel.pairwise(x1, x2)#

Evaluate the kernel between every row of x1 and x2.

Parameters:

x1 (ndarray)
x2 (ndarray)

Return type:

ndarray

CubicKernel.resolve(train_x)#

Return a kernel whose data-dependent parameters are resolved.

Calls validate() before returning, so a custom subclass that overrides validate() but not resolve() still gets its configuration checked at resolve time.

Parameters:: train_x (ndarray)
Return type:: Self

CubicKernel.validate()#

Validate static kernel configuration.

Return type:: None