Common Information and Unique Disjointness

@article{Braun2013CommonIA,
  title={Common Information and Unique Disjointness},
  author={G{\'a}bor Braun and Sebastian Pokutta},
  journal={Algorithmica},
  year={2013},
  volume={76},
  pages={597-629}
}
We provide an information-theoretic framework for establishing strong lower bounds on the nonnegative rank of matrices by means of common information, a notion previously introduced in Wyner (IEEE Trans Inf Theory 21(2):163–179, 1975). The framework is a generalization of the one in Braverman and Moitra (Proceedings of the forty-fifth annual ACM symposium on theory of computing, pp 161–170, 2013) for the shifted uniqe disjointness (UDISJ) matrix to arbitrary nonnegative matrices. Common… 

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