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Gaussian_mechanism.png (528 × 411 pixels, file size: 22 KB, MIME type: image/png)

Summary

Illustration of the Gaussian mechanism. Created with the following Python code. Released by the author to public domain.

import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors as colors
import scipy.stats as stats

plt.rc('text', usetex=True)
plt.rc('font', family='serif')

_, ax = plt.subplots()

mu, sigma = 0, 2.

x = np.linspace(mu - 3*sigma - 1, mu + 3*sigma + 1, 100)

d1 = lambda x: stats.norm.pdf(x, mu, sigma)
d2 = lambda x: stats.norm.pdf(x, mu + 1, sigma)

ax.plot(x, d1(x), c=colors.CSS4_COLORS['royalblue'], linewidth=4, alpha=.7)
ax.plot(x, d2(x), c=colors.CSS4_COLORS['crimson'], linewidth=4, alpha=.7)

# Hide the right and top spines
ax.spines['right'].set_visible(False)
ax.spines['top'].set_visible(False)
ax.spines['left'].set_visible(False)
ax.spines['bottom'].set_position(('data', 0))

ax.tick_params(axis='x', length=6, width=1)

plt.xticks(size = 16, alpha=.7)

ax.yaxis.set_visible(False)

ax.annotate(r'$\mathcal{N}(0,4)$',
            xy=(-1.1, d1(-1)),
            xytext=(-2.5, d1(-1) + .01),
            horizontalalignment='right',
            fontsize=20,
            arrowprops=dict(facecolor='black', alpha=.5, headlength=5, headwidth=5, width=1))

ax.annotate(r'$\mathcal{N}(1,4)$',
            xy=(2.1, d2(2)),
            xytext=(4, d2(2) + .01),
            horizontalalignment='left',
            fontsize=20,
            arrowprops=dict(facecolor='black', alpha=.5, headlength=5, headwidth=5, width=1))

# plt.show()
plt.savefig('gaussian.png', transparent=True, bbox_inches='tight')

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current00:22, 19 April 2019Thumbnail for version as of 00:22, 19 April 2019528 × 411 (22 KB)Rc4Color palette adjusted.
23:42, 16 April 2019Thumbnail for version as of 23:42, 16 April 2019528 × 411 (22 KB)Rc4Illustration of the Gaussian mechanism. Created with matplotlib.

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