Utils

gpjax.kernels.stationary.utils

tfd = tfp.distributions module-attribute

build_student_t_distribution(nu: int) -> tfd.Distribution

Build a Student's t distribution with a fixed smoothness parameter.

For a fixed half-integer smoothness parameter, compute the spectral density of a Matérn kernel; a Student's t distribution.

Parameters:

Name	Type	Description	Default
nu	int	The smoothness parameter of the Matérn kernel.	required

Returns

tfp.Distribution: A Student's t distribution with the same smoothness parameter.

squared_distance(x: Float[Array, ' D'], y: Float[Array, ' D']) -> ScalarFloat

Compute the squared distance between a pair of inputs.

Parameters:

Name	Type	Description	Default
x	Float[Array, ' D']	First input.	required
y	Float[Array, ' D']	Second input.	required

Returns

ScalarFloat: The squared distance between the inputs.

euclidean_distance(x: Float[Array, ' D'], y: Float[Array, ' D']) -> ScalarFloat

Compute the euclidean distance between a pair of inputs.

Parameters:

Name	Type	Description	Default
x	Float[Array, ' D']	First input.	required
y	Float[Array, ' D']	Second input.	required

Returns

ScalarFloat: The euclidean distance between the inputs.