benchmarkfcns.vincent

benchmarkfcns.vincent(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 Vincent benchmark function. SCORES = vincent(X) computes the value of the Vincent function at point X. vincent accepts a matrix of size M-by-N and returns a vector SCORES of size M-by-1 in which each row contains the function value for the corresponding row of X. Properties:

  • Global minimum: -n

  • Location of global minimum: multiple

  • Number of dimensions: n

  • Recommended domain: [0.25, 10]^n

  • Number of local minima: 6^n

  • Number of global minima: multiple

  • Convexity: non-convex

  • Separability: separable

  • Modality: multimodal

  • Differentiable: Yes

Mathematical Definition

Visualization

vincent landscape