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This analysis reveals the distortion-rate-perception tradeoff in Gaussian sources, suggesting implications for information theory.
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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Qu et al. (2025) studied this question.
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