Class SquaredExponential

gpflow/kernels/stationaries.py:195–210

The radial basis function (RBF) or squared exponential kernel. The kernel equation is k(r) = σ² exp{-½ r²} where: r is the Euclidean distance between the input points, scaled by the lengthscales parameter ℓ. σ² is the variance parameter Functions drawn from a GP wi

class SquaredExponential(IsotropicStationary):
    """
    The radial basis function (RBF) or squared exponential kernel. The kernel equation is

        k(r) = σ² exp{-½ r²}

    where:
    r   is the Euclidean distance between the input points, scaled by the lengthscales parameter ℓ.
    σ²  is the variance parameter

    Functions drawn from a GP with this kernel are infinitely differentiable!
    """

    @inherit_check_shapes
    def K_r2(self, r2: TensorType) -> tf.Tensor:
        return self.variance * tf.exp(-0.5 * r2)


class RationalQuadratic(IsotropicStationary):