benchmarkfcns.multifidelity.park91b

benchmarkfcns.multifidelity.park91b(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 Park91b function. SCORES = park91b(X) computes the value of the Park91b function at point X. multifidelity.park91b 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{2}{3} exp(x_1 + x_2) - x_4 sin(x_3) + x_3 \ f_{lf}(mathbf{x}) &= 1.2 f_{hf}(mathbf{x}) - 1.0 end{aligned}

Visualization

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