Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space
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Abstract (arXiv)
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.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 12 of its 27 references that are in the map. First posted on arXiv 24 Apr 2025.
Builds on
12 of 27 references.
References · 12
- 2019Rethinking Lossy Compression: The Rate-Distortion-Perception Tradeoffcited by 211
- 2021A Theory of the Distortion-Perception Tradeoff in Wasserstein Spacecited by 52
- 2021Universal Rate-Distortion-Perception Representations for Lossy Compressioncited by 47
- 2021A coding theorem for the rate-distortion-perception functioncited by 30
- 2021On the advantages of stochastic encoderscited by 28
- 2021On Perceptual Lossy Compression: The Cost of Perceptual Reconstruction and An Optimal Training Frameworkcited by 27
- 2022The Rate-Distortion-Perception Tradeoff: The Role of Common Randomnesscited by 21
- 2022Optimally Controllable Perceptual Lossy Compressioncited by 13
- 2024Rate-Distortion-Perception Tradeoff Based on the Conditional-Distribution Perception Measurecited by 8
- 2024Output-Constrained Lossy Source Coding With Application to Rate-Distortion-Perception Theorycited by 5
- 2024Gaussian Rate-Distortion-Perception Coding and Entropy-Constrained Scalar Quantizationcited by 4
- 2025Optimal Neural Compressors for the Rate-Distortion-Perception Tradeoffcited by 2
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Citing papers per year: 2026: 2.
2 papers.