MAKE A MEME View Large Image VennInfo3Var.svg 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 ...
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Keywords: VennInfo3Var.svg 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 own PAR 2015-05-16 References cite journal Cerf Nicolas J Adami Chris 1998 Information theory of quantum entanglement and measurement http //scholar google com/citations view_op view_citation hl en user OXlD-EQAAAAJ cstart 20 pagesize 80 citation_for_view OXlD-EQAAAAJ _kc_bZDykSQC Physica D Elsevier 120 62-81 7 June 2015 cite journal Cerf Nicolas J Adami Chris 1997 Entropic Bell inequalities http //scholar google com/citations view_op view_citation hl en user OXlD-EQAAAAJ cstart 20 pagesize 80 citation_for_view OXlD-EQAAAAJ qxL8FJ1GzNcC Phys Rev A American Physical Society 55 5 3371 7 June 2015 Cc-zero Information science Entropy and information
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