benchmarkfcns.ventersobiezcczanski

benchmarkfcns.ventersobiezcczanski(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]']

Computes the value of the Venter Sobiezcczanski-Sobieski benchmark function. SCORES = ventersobiezcczanski(X) computes the value of the function at point X. ventersobiezcczanski accepts a matrix of size M-by-N and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: -200.0 * n

  • Location of global minimum: (0, 0, …, 0)

  • Number of dimensions: n

  • Recommended domain: [-50, 50]^n

  • Modality: multimodal

Mathematical Definition

\[f(\textbf{x}) = \sum_{i=1}^{n} \left[ x_i^2 - 100 \cos^2(x_i) - 100 \cos(\frac{x_i^2}{30}) \right]\]

Visualization

../_images/ventersobiezcczanskifcn.png