genz_productpeak

probnum.problems.zoo.quad.genz_productpeak(dim, a=None, u=None)[source]

Genz ‘Product Peak’ test function on \([0,1]^d\).

\[f(x) = \prod_{i=1}^d ( a_i^{-2} + (x_i-u_i)^2)^{-1}.\]
Parameters:
  • dim (int) – Dimension of the domain

  • a (ndarray | None) – First set of parameters of shape (dim,) affecting the difficulty of the integration problem. See [1].

  • u (ndarray | None) – Second set of parameters of shape (dim,) affecting the difficulty of the integration problem. All entries should be in [0,1]. See [1].

Return type:

QuadratureProblem

References