hennig2d

probnum.problems.zoo.quad.hennig2d(c=None)

The two-dimensional hennig function integrated wrt the Lebesgue measure. [1]

The integrand is

\[f(x) = e^{-x^{\intercal}c x -\sin(3\|x\|^2)}\]

on the domain \(\Omega=[-3, 3]^2\). Above, \(c\) is the c parameter.

Parameters:

c (ndarray | None) – A positive definite matrix of shape (2, 2). Defaults to [[1, .5], [.5, 1]].

Returns:

The quadrature problem.

Return type:

quad_problem

References

[1]

Emukit docs on hennig2d .