benchmarkfcns.multifidelity.alpinen1

benchmarkfcns.multifidelity.alpinen1(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 Alpine N. 1 function. SCORES = alpinen1(X) computes the value of the Alpine N. 1 function at point X. multifidelity.alpinen1 accepts a matrix of size M-by-N and returns a matrix SCORES of size M-by-2.

Mathematical Definition

\[f(\mathbf x)=f(x_1, ..., x_n)=\sum_{i=1}^{n}|x_i sin(x_i) + 0.1x_i|\]

Visualization