Computing a function of correlated Sources: A rate region

@article{Sefidgaran2011ComputingAF,
  title={Computing a function of correlated Sources: A rate region},
  author={Milad Sefidgaran and Aslan Tchamkerten},
  journal={2011 IEEE International Symposium on Information Theory Proceedings},
  year={2011},
  pages={1856-1860}
}
A receiver wants to compute a function f of two correlated sources X and Y and side information Z. What is the minimum number of bits that needs to be communicated by each transmitter? In this paper, we derive inner and outer bounds to the rate region which coincide in the cases where f is partially invertible and where one of the sources is constant. From the former case we recover the Slepian-Wolf rate region. 

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