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Lossy Computing with Side Information via Multi-Hypergraphs

Information Theory 2022-05-18 v1 math.IT

Abstract

We consider a problem of coding for computing, where the decoder wishes to estimate a function of its local message and the source message at the encoder within a given distortion. We show that the rate-distortion function can be characterized through a characteristic multi-hypergraph, which simplifies the evaluation of the rate-distortion function.

Keywords

Cite

@article{arxiv.2205.08262,
  title  = {Lossy Computing with Side Information via Multi-Hypergraphs},
  author = {Deheng Yuan and Tao Guo and Bo Bai and Wei Han},
  journal= {arXiv preprint arXiv:2205.08262},
  year   = {2022}
}