On Extractable Shared Information

@article{Rauh2017OnES,
  title={On Extractable Shared Information},
  author={Johannes Rauh and Pradeep Kr. Banerjee and Eckehard Olbrich and J{\"u}rgen Jost and Nils Bertschinger},
  journal={Entropy},
  year={2017},
  volume={19},
  pages={328}
}
We consider the problem of quantifying the information shared by a pair of random variables X1, X2 about another variable S. We propose a new measure of shared information, called extractable shared information, that is left monotonic; that is, the information shared about S is bounded from below by the information shared about f(S) for any function f . We show that our measure leads to a new nonnegative decomposition of the mutual information I(S;X1X2) into shared, complementary and unique… CONTINUE READING
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