cbx.objectives.three_hump_camel#

class cbx.objectives.three_hump_camel[source]#

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)