benchmarkfcns.alpine4

benchmarkfcns.alpine4(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 Alpine N. 4 benchmark function. SCORES = alpine4(X) computes the value of the function at point X. alpine4 accepts a matrix of size M-by-N and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: 0.1n

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

  • Number of dimensions: n

  • Recommended domain: [-10, 10]^n

  • Modality: multimodal

Mathematical Definition

Visualization

alpine4 landscape