File:VennInfo3Var.svg
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Summary
[edit]DescriptionVennInfo3Var.svg |
English: Venn diagram of information theoretic measures for three variables x, y, and z. Each circle represents an individual entropy: H(x) is the lower left circle, H(y) the lower right, and H(z) is the upper circle. The intersections of any two circles represents the Mutual information for the associated variables (e.g. I(x;z) is yellow and gray). The union of any two circles is the Joint entropy for the two associated variables (e.g. H(x,y) is everything but green). The joint entropy H(x,y,z) of all three variables is the union of all three circles. It is partitioned into 7 pieces, red, blue, and green being the conditional entropies H(x|y,z), H(y|x,z), H(z|x,y) respectively, yellow, magenta and cyan being the conditional mutual informations I(x;z|y), I(y;z|x) and I(x;y|z) respectively, and gray being the Multivariate mutual information I(x;y;z). The multivariate mutual information is the only one of all that may be negative. |
Date | |
Source | Own work |
Author | PAR |
SVG development InfoField | This diagram was created with Inkscape. This diagram uses embedded text that can be easily translated using a text editor. |
References
[edit]Cerf, Nicolas J. (1998). "Information theory of quantum entanglement and measurement". Physica D 120: 62-81. Elsevier.
Cerf, Nicolas J. (1997). "Entropic Bell inequalities". Phys. Rev. A 55 (5): 3371. American Physical Society.
Licensing
[edit]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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 02:03, 9 April 2021 | 633 × 631 (21 KB) | Shyamal (talk | contribs) | Fix colors | |
03:01, 12 November 2019 | 633 × 631 (9 KB) | Shyamal (talk | contribs) | Uniform fonts | ||
02:36, 12 November 2019 | 633 × 631 (5 KB) | Shyamal (talk | contribs) | Fix typo introduced while derasterizing | ||
03:16, 5 November 2019 | 633 × 631 (9 KB) | Shyamal (talk | contribs) | Remove binary objects | ||
03:12, 5 November 2019 | 633 × 631 (37 KB) | Shyamal (talk | contribs) | derasterize | ||
01:25, 17 May 2015 | 633 × 631 (28 KB) | PAR (talk | contribs) | {{Information |Description ={{en|1=Venn diagram of information theoretic measures for three variables. Each circle represents an individual entropy]: H(x) is the lower left circle, H(y) the lower right, and... |
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