benchmarkfcns.multifidelity.eggholder

benchmarkfcns.multifidelity.eggholder(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the multi-fidelity Eggholder function. SCORES = eggholder(X) computes the value of the Eggholder function at point X. multifidelity.eggholder accepts a matrix of size M-by-2 and returns a matrix SCORES of size M-by-2.

Mathematical Definition

\[\begin{aligned}\]

f_{hf}(mathbf{x}) &= -(x_2+47)sinleft(sqrt{|x_1/2 + x_2 + 47|}right) - x_1sinleft(sqrt{|x_1 - (x_2 + 47)|}right) f_{lf}(mathbf{x}) &= 0.5 f_{hf}(mathbf{x}) + 0.1 (x_1 + x_2) end{aligned}

Visualization