Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space

2025/04/24 by Qu, Xiqiang, Chen, Jun, Yu, Lei +1
#FOS: Computer and information sciences #Information Theory (cs.IT) #Machine Learning (cs.LG)

paper · doi:10.48550/arxiv.2504.17236

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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