benchmarkfcns.ackley

benchmarkfcns.ackley(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]']

Computes the value of Ackley benchmark function. SCORES = ackley(X) computes the value of the Ackley function at point X. ackley accepts a matrix of size M-by-N and returns a vector SCORES of size M-by-1 in which each row contains the function value for each row of X. Properties:

  • Global minimum: 0

  • Location of global minimum: (0, 0, …, 0)

  • Number of dimensions: N

  • Recommended domain: [-35, 35]^N

  • Number of local minima: many

  • Number of global minima: 1

  • Convexity: non-convex

  • Separability: non-separable

  • Modality: multimodal

  • Symmetry: radial symmetry

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

Mathematical Definition

Visualization

ackley landscape