benchmarkfcns.chichinadzen2

benchmarkfcns.chichinadzen2(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 Chichinadze N. 2 benchmark function. SCORES = chichinadzen2(X) computes the value of the function at point X. chichinadzen2 accepts a matrix of size M-by-2 and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: -42.944387

  • Location of global minimum: (6.189866, 0.5)

  • Number of dimensions: 2

  • Recommended domain: [-30, 30]^2

  • Modality: multimodal

Mathematical Definition

\[f(x_1, x_2) = x_1^2 - 12x_1 + 11 + 10\cos(\frac{\pi}{2}x_1) + 8\sin(5\pi x_1) - 0.2\sqrt{5}e^{-0.5(x_2 - 0.5)^2}\]

Visualization

../_images/chichinadzen2fcn.png