Two-way source coding with a fidelity criterion
IEEE Transactions on Information Theory
Elements of information theory
Elements of information theory
Causality: models, reasoning, and inference
Causality: models, reasoning, and inference
Capacity results for the discrete memoryless network
IEEE Transactions on Information Theory
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Consider the two-way rate-distortion problem in which a helper sends a common limited-rate message to both users based on side information at its disposal. We characterize the region of achievable rates and distortions where a Markov form (Helper)-(User 1)-(User 2) holds. The main insight of the result is that in order to achieve the optimal rate, the helper may use a binning scheme, as in Wyner-Ziv, where the side information at the decoder is the "further" user, namely, User 2. The converse proofs use a new technique for verifying Markov relations via undirected graphs.