benchmarkfcns.hosakin2

benchmarkfcns.hosakin2(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 Hosaki N. 2 benchmark function. hosakin2 is an alias for hosaki. Properties:

  • Global minimum: -2.3458

  • Location of global minimum: (4, 2)

  • Number of dimensions: 2

  • Recommended domain: [0, 5]x[0, 6]

  • Modality: multimodal

Mathematical Definition

\[f(x_1, x_2) = (1 - 8x_1 + 7x_1^2 - \frac{7}{3}x_1^3 + \frac{1}{4}x_1^4)x_2^2 e^{-x_2}\]

Visualization

../_images/hosakin2fcn.png