cbx.objectives.three_hump_camel

class cbx.objectives.three_hump_camel

Bases: cbx_objective

Three-hump camel function

Three-hump camel function is a multimodal function with a global minimum at \((0,0)\). The function is defined as

\[f(x,y) = 2x^2 - 1.05x^4 + \frac{1}{6}x^6 + xy + y^2\]

Examples

>>> import numpy as np
>>> from cbx.objectives import three_hump_camel
>>> x = np.array([[1,2], [3,4], [5,6.]])
>>> obj = three_hump_camel()
>>> obj(x)
array([   7.11666667,   82.45      , 2063.91666667])

Visualization

(Source code, png, hires.png, pdf)