def build_sample_ace_problem_breiman85(N=200):
    """Sample problem from Breiman 1985."""
    x_cubed = numpy.random.standard_normal(N)
    x = scipy.special.cbrt(x_cubed)
    noise = numpy.random.standard_normal(N)
    y = numpy.exp((x ** 3.0) + noise)
    return [x], y