benchmarkfcns.mishrabird

benchmarkfcns.mishrabird(x: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]']

Computes the value of the Mishra’s Bird benchmark function. SCORES = mishrabird(X) computes the value of the Mishra’s Bird function at point X. mishrabird 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:

  • Domain: [-10, 10]^2

  • Global minimum: -1.0666

  • Location of global minimum: (-3.13, -1.58)

  • Number of global minima: 1

  • Convexity: Non-convex

  • Separability: Non-separable

  • Modality: Multimodal

  • Symmetry: Non-symmetric

  • Differentiable: Yes

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

Mathematical Definition

Visualization

mishrabird landscape