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{arxiv.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}
}