Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908335902556160 |
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| author | Qu, Xiqiang Chen, Jun Yu, Lei Xu, Xiangyu |
| author_facet | Qu, Xiqiang Chen, Jun Yu, Lei Xu, Xiangyu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17236 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space Qu, Xiqiang Chen, Jun Yu, Lei Xu, Xiangyu Information Theory Machine Learning 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. |
| title | Rate-Distortion-Perception Theory for the Quadratic Wasserstein Space |
| topic | Information Theory Machine Learning |
| url | https://arxiv.org/abs/2504.17236 |