Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space

Xiqiang Qu; Jun Chen; Lei Yu; Xiangyu Xu

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arXiv · 2504.17236

Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space

Xiqiang Qu·Jun Chen·Lei Yu·Xiangyu Xu

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Abstract

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.

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Xiqiang Qu, Jun Chen, Lei Yu, Xiangyu Xu. 2025-04-24. Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space. https://arxiv.org/abs/2504.17236

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