File:Nonsmooth coordinate descent.svg
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Original file (SVG file, nominally 900 × 900 pixels, file size: 35 KB)
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Summary
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| Description |
English: Coordinate descent attempt in a nonsmooth function. Note that moving in any of the two coordinates will increase the value of the objective functions. |
| Date | |
| Source |
Own work  This W3C-unspecified plot was created with Matplotlib. |
| Author | Nicoguaro |
Creation
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This file was created with Python, SciPy and Matplotlib.
from __future__ import division
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import rcParams
rcParams['font.family'] = 'serif'
rcParams['font.size'] = 16
def fun(x, y):
return np.abs(y + x) + 3*np.abs(y - x)
X, Y = np.mgrid[-3:3:301j, -3:3:301j]
Z = fun(X, Y)
plt.figure(figsize=(10, 10))
levels = range(1,7)
CS = plt.contour(X, Y, Z, levels=levels, colors='k')
plt.clabel(CS)
plt.arrow(-2, -2, 0.5, 0, fc='r', ec='r', length_includes_head=True)
plt.arrow(-2, -2, 0, 0.5, fc='r', ec='r', length_includes_head=True)
plt.axis('image')
plt.xlabel(r'$x$', size=18)
plt.ylabel(r'$y$', size=18)
plt.title(r'$f(x,y) = |x + y| + 3|y -x|$')
plt.savefig('nonsmooth coordinate descent.svg')
plt.show()
Licensing
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I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 00:16, 10 January 2016 | | 900 × 900 (35 KB) | Nicoguaro (talk | contribs) | User created page with UploadWizard |
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