Low-Rate, Low-Distortion Compression with Wasserstein Distortion

Fuente: arXiv
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Autori principali: Qiu, Yang, Wagner, Aaron B.
Natura: Preprint
Pubblicazione: 2024
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_version_ 1866914659202760704
author Qiu, Yang
Wagner, Aaron B.
author_facet Qiu, Yang
Wagner, Aaron B.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_16858
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Low-Rate, Low-Distortion Compression with Wasserstein Distortion
Qiu, Yang
Wagner, Aaron B.
Information Theory
94A34
E.4
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.
title Low-Rate, Low-Distortion Compression with Wasserstein Distortion
topic Information Theory
94A34
E.4
url https://arxiv.org/abs/2401.16858