File:Binary entropy plot.svg
![File:Binary entropy plot.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/2/22/Binary_entropy_plot.svg/300px-Binary_entropy_plot.svg.png?20150209160704)
Original file (SVG file, nominally 300 × 300 pixels, file size: 1 KB)
Captions
Captions
Summary
editDescriptionBinary entropy plot.svg |
en:Information entropy of a en:Bernoulli trial X. If X can assume values 0 and 1, entropy of X is defined as H(X) = -Pr(X=0) log2 Pr(X=0) - Pr(X=1) log2 Pr(X=1). It has value if Pr(X=0)=1 or Pr(X=1)=1. The entropy reaches maximum when Pr(X=0)=Pr(X=1)=1/2 (the value of entropy is then 1). The image was created in the following steps. First I have created a DVI version starting from a LaTeX/Pstricks source. Here is the code: %Plot of information entropy of Bernoulli variable
%
%latex binary_entropy_plot; dvips binary_entropy_plot
%open .ps file in gimp, choose strong antialias in both text and graphics,
%resulution 500, color mode, crop, scale to 45%, save as .png
\documentclass[12pt]{article}
\usepackage{pst-plot}
\begin{document}
\psset{unit=4cm}
\begin{pspicture}(0,0)(1.01,1)
\psgrid[gridlabels=0pt,gridcolor=lightgray,subgriddiv=10,subgridcolor=lightgray](0,0)(0,0)(1,1)
\newrgbcolor{myblue}{0 0 0.7}
\psaxes[arrows=->,arrowsize=2pt 4,Dx=0.5,Dy=0.5](0,0)(0,0)(1.1,1.1)
\psplot[plotstyle=curve,plotpoints=100,linewidth=1.8pt,linecolor=myblue]{0.0001}{0.9999}{-1 x x log 2 log div mul 1 x sub 1 x sub log 2 log div mul add mul}
\rput(0.5,-0.22){$\Pr(X=1)$}
\rput{90}(-0.28,0.5){$H(X)$}
\end{pspicture}
\end{document}
|
Date | |
Source | Own work based on: Binary entropy plot.png by Brona |
Author |
Vector: Newer version by Rubber Duck |
SVG development InfoField | ![]() This diagram was created with a text editor. ![]() ![]() Please do not replace the simplified code of this file with a version created with Inkscape or any other vector graphics editor ![]() ![]() This diagram uses embedded text that can be easily translated using a text editor. |
Licensing
edit![]() |
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
![]() ![]() ![]() |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
| ||
This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 16:07, 9 February 2015 | ![]() | 300 × 300 (1 KB) | Krishnavedala (talk | contribs) | simplified drawing |
15:19, 22 April 2007 | ![]() | 169 × 163 (40 KB) | Alejo2083 (talk | contribs) | {{Information |Description=Information entropy of a Bernoulli trial ''X''. If ''X'' can assume values 0 and 1, entropy of ''X'' is defined as ''H''(''X'') = -Pr(''X''=0) log<sub>2</sub> Pr(''X''=0) - Pr(''X''=1) log<sub>2</sub> Pr(''X''=1). It has |
You cannot overwrite this file.
File usage on Commons
The following 2 pages use this file:
File usage on other wikis
The following other wikis use this file:
- Usage on ar.wikipedia.org
- Usage on ca.wikipedia.org
- Usage on cs.wikipedia.org
- Usage on da.wikipedia.org
- Usage on el.wikipedia.org
- Usage on en.wikipedia.org
- Usage on es.wikipedia.org
- Usage on eu.wikipedia.org
- Usage on fa.wikipedia.org
- Usage on fr.wikipedia.org
- Usage on gl.wikipedia.org
- Usage on id.wikipedia.org
- Usage on id.wiktionary.org
- Usage on it.wikipedia.org
- Usage on it.wikiversity.org
- Usage on ko.wikipedia.org
- Usage on pl.wikipedia.org
- Usage on pnb.wikipedia.org
- Usage on sq.wikipedia.org
- Usage on su.wikipedia.org
- Usage on tl.wikipedia.org
- Usage on uk.wikipedia.org
- Usage on ur.wikipedia.org
- Usage on vi.wikipedia.org
- Usage on zh-yue.wikipedia.org
- Usage on zh.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Short title | Binary entropy plot |
---|---|
Width | 300px |
Height | 300px |