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- W2571228082 abstract "The problem of distributed data compression for function computation is considered, where (i) the function to be computed is not necessarily symbol-wise function and (ii) the information source has memory and may not be stationary nor ergodic. We introduce the class of smooth sources and give a sufficient condition on functions so that the achievable rate region for computing coincides with the Slepian-Wolf region (i.e., the rate region for reproducing the entire source) for any smooth sources. Moreover, for symbol-wise functions, the necessary and sufficient condition for the coincidence is established. Our result for the full side-information case is a generalization of the result by Ahlswede and Csiszar; our dichotomy theorem is different from Han and Kobayashi's dichotomy theorem, which reveals an effect of memory in distributed function computation. All results are given not only for fixed-length coding but also for variable-length coding in a unified manner." @default.
- W2571228082 created "2017-01-13" @default.
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- W2571228082 date "2015-06-01" @default.
- W2571228082 modified "2023-10-18" @default.
- W2571228082 title "A dichotomy of functions in distributed coding: An information spectral approach" @default.
- W2571228082 doi "https://doi.org/10.1109/isit.2015.7282759" @default.
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