benchmarkfcns.helicalvalley

benchmarkfcns.helicalvalley(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 Helical Valley benchmark function. SCORES = helicalvalley(X) computes the value of the function at point X. helicalvalley accepts a matrix of size M-by-3 and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: 0

  • Location of global minimum: (1, 0, 0)

  • Number of dimensions: 3

  • Recommended domain: [-10, 10]^3

  • Modality: unimodal

Mathematical Definition

Visualization

helicalvalley landscape