benchmarkfcns.crossintray

benchmarkfcns.crossintray(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 Cross-in-tray benchmark function. SCORES = crossintray(X) computes the value of the Cross-in-tray function at point X. crossintray 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: -2.062611870822

  • Location of global minimum: There are 4 global minima: $(pm 1.34941, pm 1.34941)$

  • Number of dimensions: 2

  • Recommended domain:[-10, 10]^2

  • Number of local minima: Numerous (A grid of smaller basins surrounds the main trays)

  • Number of global minima: 4

  • Convexity: Non-convex

  • Separability: Non-separable

  • Modality: Multimodal

  • Symmetry: Symmetric (Highly symmetric across both axes and the origin)

  • Differentiable: No

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

Mathematical Definition

Visualization

crossintray landscape