benchmarkfcns.multifidelity.park91a

benchmarkfcns.multifidelity.park91a(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 Park91a function. SCORES = park91a(X) computes the value of the Park91a function at point X. multifidelity.park91a accepts a matrix of size M-by-4 and returns a matrix SCORES of size M-by-2. Properties (High-fidelity):

• Dimensions: 4

• Recommended domain: [0, 1]^4

Mathematical Definition

\[\begin{aligned}\]

f_{hf}(mathbf{x}) &= frac{x_1}{2} [sqrt{1 + (x_2 + x_3^2) frac{x_4}{x_1^2}} - 1] + (x_1 + 3x_4) exp(1 + sin(x_3)) \ f_{lf}(mathbf{x}) &= [1 + frac{sin(x_1)}{10}] f_{hf}(mathbf{x}) - 2x_1^2 + x_2^2 + x_3^2 + 0.5 end{aligned}

Visualization

No visualization available for this function.