Without common randomness, a hybrid coding scheme can beat both separation-based and uncoded architectures for channel-aware optimal transport on binary and Gaussian channels.
Output constrained lossy source coding with limited common randomness,
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Channel-Aware Optimal Transport: A Theoretical Framework for Generative Communication
Without common randomness, a hybrid coding scheme can beat both separation-based and uncoded architectures for channel-aware optimal transport on binary and Gaussian channels.