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Dual total correlation : ウィキペディア英語版 | Dual total correlation
In information theory, dual total correlation (Han 1978), excess entropy (Olbrich 2008), or binding information (Abdallah and Plumbley 2010) is one of the two known non-negative generalizations of mutual information. While total correlation is bounded by the sum entropies of the ''n'' elements, the dual total correlation is bounded by the joint-entropy of the ''n'' elements. Although well behaved, dual total correlation has received much less attention than the total correlation. A measure known as "TSE-complexity" defines a continuum between the total correlation and dual total correlation (Ay 2001). ==Definition==
For a set of ''n'' random variables , the dual total correlation is given by : where is the joint entropy of the variable set and is the conditional entropy of variable , given the rest.
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