base.UniformDesign

base.UniformDesign(size, n_levels, n_iters=100, criteria='centered_L2')

Generate a Uniform Design (U-type)

Parameters

Name	Type	Description	Default
size	tuple of ints	Output shape of (n,d), where n and d are the number of rows and columns, respectively	required
n_levels	int	number of levels in each column for the uniform design	required
n_iters	int	Maximium iterations to optimize specified criteria. Defaults to 100.	100
criteria	str	Type of discrepancy. Defaults to ‘centered_L2’. Options include: ‘L2’, ‘L2_star’,‘centered_L2’, ‘modified_L2’, ‘mixture_L2’, ‘symmetric_L2’, ‘wrap_around_L2’	'centered_L2'

Raises

Type	Description
ValueError	n should be a multiple of the n_levels

Returns

Type	Description
numpy.numpy.ndarray	np.ndarray: A U-type uniform design, \(U(n,q^d)\) where \(n\) is the number of rows, \(q\) are the numbe of levels, and \(d\) is the dimension of the uniform design.

Examples:

import pyLHD
pyLHD.UniformDesign(size = (10,3), n_levels = 2)

array([[0, 0, 0],
       [1, 1, 1],
       [1, 1, 1],
       [1, 0, 1],
       [1, 0, 0],
       [0, 1, 0],
       [1, 1, 0],
       [0, 0, 0],
       [0, 1, 1],
       [0, 0, 1]])

pyLHD.UniformDesign(size = (10,3), n_levels = 5, criteria = "mixture_L2")  

array([[1, 0, 1],
       [0, 4, 3],
       [3, 4, 0],
       [0, 2, 4],
       [3, 2, 1],
       [2, 3, 3],
       [1, 1, 2],
       [4, 3, 2],
       [4, 0, 4],
       [2, 1, 0]])