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The three-terminal interactive lossy source coding problem

Abstract : In this paper, we explore the three-node multi-terminal lossy source coding problem, which seems to offer a formidable mathematical complexity. We derive an inner bound to the general rate-distortion region of this problem, which is a natural extension of the seminal work by Kaspi on the interactive two-terminal source coding problem. It is shown that this (rather involved) inner bound contains several rate-distortion regions of some relevant source coding settings. In this way, besides the non-trivial extension of the interactive two terminal problem, our results can be seen as a generalization and hence unification of several previous works in the field. By specializing the inner bound to particular cases, we obtain some novel rate-distortion regions for several multi-terminal lossy source coding problems.
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Submitted on : Wednesday, September 16, 2020 - 3:00:42 PM
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Leonardo Rey Vega, Pablo Piantanida, Alfred Hero. The three-terminal interactive lossy source coding problem. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2017, 63 (1), pp.532 - 562. ⟨10.1109/TIT.2016.2621749⟩. ⟨hal-01257575⟩

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