Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space

We establish a single-letter characterization of the fundamental distortion-rate-perception tradeoff with limited common randomness under the squared error distortion measure and the squared Wasserstein-2 perception measure. Moreover, it is shown that this single-letter characterization can be explicitly evaluated for the Gaussian source. Various notions of universal representation are also clarified.

@article{qu2025_2504.17236,
  title={ Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space },
  author={ Xiqiang Qu and Jun Chen and Lei Yu and Xiangyu Xu },
  journal={arXiv preprint arXiv:2504.17236},
  year={ 2025 }
}