Polarized random variables: Maximal correlations and common information

  title={Polarized random variables: Maximal correlations and common information},
  author={Naveen Goela},
  journal={2014 IEEE International Symposium on Information Theory},
New theorems are established regarding polarized Bernoulli random variables: (i) The maximal correlations between polarized Bernoulli variables converge to zero or one as do the conditional entropy and Bhattacharyya parameters; (ii) The graphical model of polarized Bernoulli variables provides a way to compute pair-wise and higher-order correlations; (iii) The Wyner common information between two sequences of correlated random variables may be extracted using Arikan's polar transform which… CONTINUE READING

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