Note

Click here to download the full example code

Examples in nD

This section contains several examples on how to generate nD (n > 3) data with pyclugen. To run the examples we first need to import the clugen() function:

import numpy as np
from pyclugen import clugen

To plot these examples we use the plot_examples_nd function:

from plot_functions import plot_examples_nd

5D example with default optional arguments

seed = 123

# Number of dimensions
nd = 5

e085 = clugen(nd, 6, 1500, [1, 1, 0.5, 0, 0], np.pi / 16, 30 * np.ones(nd), 30, 4, 3, rng=seed)

plot_examples_nd(e085, "e085: 5D with optional parameters set to defaults")

5D example with proj_dist_fn = "unif" and point_dist_fn = "n"

seed = 579

# Number of dimensions
nd = 5

e086 = clugen(nd, 6, 1500, [0.1, 0.3, 0.5, 0.3, 0.1], np.pi / 12, 30 * np.ones(nd), 35, 5, 3.5,
    proj_dist_fn="unif", point_dist_fn="n", rng=seed)

plot_examples_nd(e086, "e086: 5D with proj_dist_fn=\"unif\" and point_dist_fn=\"n\"")

4D example with custom projection placement using the Beta distribution

seed = 963

# Number of dimensions
nd = 4

# Custom proj_dist_fn: point projections placed using the Beta distribution
def proj_beta(len, n, rng):
    return len * rng.beta(0.1, 0.1, size=n) - len / 2

e087 = clugen(nd, 5, 1500, np.ones(nd), np.pi / 6, 30 * np.ones(nd), 60, 15, 6, rng=seed,
    proj_dist_fn=proj_beta)

plot_examples_nd(e087, "e087: 4D with custom proj_dist_fn (Beta)")

Total running time of the script: ( 0 minutes 6.199 seconds)

Download Python source code: plot_4_nd_examples.py

Download Jupyter notebook: plot_4_nd_examples.ipynb

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