benchmarkfcns.zirilli

benchmarkfcns.zirilli(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 Zirilli function. SCORES = zirilli(X) computes the value of the Zirilli function at point X. zirilli accepts a matrix of size M-by-2 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: -0.3523

  • Location of global minimum: (-1.0465, 0)

  • Number of dimensions: 2

  • Recommended domain: [-10, 10]^2

  • Number of local minima: 2 (one global minimum and one local minimum)

  • Number of global minima: 1

  • Convexity: non-convex

  • Separability: separable

  • Modality: multimodal

  • Symmetry: non-symmetric

  • Differentiable: Yes

Mathematical Definition

Visualization

zirilli landscape