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Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space

Published: April 24, 2025 | arXiv ID: 2504.17236v1

By: Xiqiang Qu , Jun Chen , Lei Yu and more

Potential Business Impact:

Makes pictures clearer with less data.

Business Areas:
A/B Testing Data and Analytics

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.

Page Count
22 pages

Category
Computer Science:
Information Theory