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Lossy Computing with Side Information via Multi-Hypergraphs (2205.08262v1)

Published 17 May 2022 in cs.IT and 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.

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