= Satoshi Watanabe
{disambiguate=physicist}
{c}
{wiki}
= Satosi Watanabe
{c}
{synonym}
= Satoshi Watanabe
{c}
{synonym}
<Satoshi Watanabe> analyzed dependence among many <random variables> using <information theory>. The <total correlation> compares the sum of individual <Shannon entropy> values with the <joint entropy>, measuring information stored in their dependence: independent variables give zero difference, while correlated variables can share information. The multivariable construction goes beyond checking one pair at a time, helping distinguish a collective statistical structure from a collection of unrelated observations.<Information Theoretical Analysis of Multivariate Correlation by Satosi Watanabe>[1960 paper, entropy-based analysis of multivariate dependence]{ref}
\Image[https://commons.wikimedia.org/wiki/Special:Redirect/file/Watanabe%20Satoshi%20with%20his%20son.JPG?width=250]
{title=Portrait of <Satoshi Watanabe>}
{description=Asahi Shimbun; Asahi Graph, 4 May 1949. Public domain in Japan and United States, as file states (old Japanese photograph; copyright expired before 1970; no URAA restoration). Source and usage information on the linked Wikimedia file page.}
{source=https://commons.wikimedia.org/wiki/File:Watanabe_Satoshi_with_his_son.JPG}
{width=250}
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