benchmarkfcns.bird

benchmarkfcns.bird(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 Bird function. SCORES = bird(X) computes the value of the Bird function at point X. bird 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: -106.7645

  • Location of global minimum: approximately (4.70104, 3.15204),(-1.58214, -3.13024)

  • Number of dimensions: 2

  • Recommended domain: [-2π, 2π]^2

  • Number of local minima: several local minima, but only two global minima

  • Number of global minima: 2

  • Convexity: non-convex

  • Separability: non-separable

  • Modality: multimodal

  • Symmetry: non-symmetric

  • Differentiable: Yes

For more information, please visit: benchmarkfcns.info/doc/birdfcn

Mathematical Definition

Visualization

bird landscape