Robust Coding for Lossy Computing with Receiver-Side Observation Costs

Details Robust Coding for Lossy Computing with Receiver-Side Observation Costs Robust Coding for Lossy Computing with Receiver-Side Observation Costs

2011-08-07

arxiv.org/abs/1108.1535v3

Computer Science

Information Theory

presented at ISIT 2011, with corrections

Scientific paper

An encoder wishes to minimize the bit rate necessary to guarantee that a decoder is able to calculate a symbolwise function of a sequence available only at the encoder and a sequence that can be measured only at the decoder. This classical problem, first studied by Yamamoto, is addressed here by including two new aspects: (i) The decoder obtains noisy measurements of its sequence, where the quality of such measurements can be controlled via a cost-constrained "action" sequence; (ii) Measurement at the decoder may fail in a way that is unpredictable to the encoder, thus requiring robust encoding. The considered scenario generalizes known settings such as the Heegard-Berger-Kaspi and the "source coding with a vending machine" problems. The rate-distortion-cost function is derived and numerical examples are also worked out to obtain further insight into the optimal system design.

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