polarcbo.objectives.three_hump_camel

class polarcbo.objectives.three_hump_camel

Bases: objective

Three-hump camel function

Three-hump camel function is a multimodal function with 2 global minima at \((0,0)\) and \((0,0)\). 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 polarcbo.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])

__call__(x)

Call method for classes that inherit from objective

Parameters:

x (array_like, shape (J, d)) – For a system of \(J\) particles, the i-th row of this array x[i,:] represents the position of the i-th particle.

Returns:

y – The value of the objective function at the positions x.

Return type:

array_like, shape (J,)