Characterization of the Distortion-Perception Tradeoff for Finite Channels with Arbitrary Metrics
<|reference_start|>Characterization of the Distortion-Perception Tradeoff for Finite Channels with Arbitrary Metrics: Whenever inspected by humans, reconstructed signals should not be distinguished from real ones. Typically, such a high perceptual quality comes at the price of high reconstruction error, and vice versa. We study this distortion-perception (DP) tradeoff over finite-alphabet channels, for the Wasserstein-$1$ distance induced by a general metric as the perception index, and an arbitrary distortion matrix. Under this setting, we show that computing the DP function and the optimal reconstructions is equivalent to solving a set of linear programming problems. We provide a structural characterization of the DP tradeoff, where the DP function is piecewise linear in the perception index. We further derive a closed-form expression for the case of binary sources.<|reference_end|>
@article{freirich2024characterization,
    title={Characterization of the Distortion-Perception Tradeoff for Finite
  Channels with Arbitrary Metrics},
    author={Dror Freirich and Nir Weinberger and Ron Meir},
    journal={arXiv preprint arXiv:2402.02265},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.02265},
    primaryClass={cs.IT eess.SP math.IT stat.ML}
}