Low-Rate, Low-Distortion Compression with Wasserstein Distortion
Information Theory
2024-01-31 v1 math.IT
Abstract
Wasserstein distortion is a one-parameter family of distortion measures that was recently proposed to unify fidelity and realism constraints. After establishing continuity results for Wasserstein in the extreme cases of pure fidelity and pure realism, we prove the first coding theorems for compression under Wasserstein distortion focusing on the regime in which both the rate and the distortion are small.
Keywords
Cite
@article{arxiv.2401.16858,
title = {Low-Rate, Low-Distortion Compression with Wasserstein Distortion},
author = {Yang Qiu and Aaron B. Wagner},
journal= {arXiv preprint arXiv:2401.16858},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2310.03629