@article{70d7df61b7684fc5809b5eac3bc586b1,
title = "A Constrained Talagrand Transportation Inequality with Applications to Rate-Distortion-Perception Theory",
abstract = "A constrained version of Talagrand{\textquoteright}s transportation inequality is established, which reveals an intrinsic connection between the Gaussian distortion-rate-perception functions with limited common randomness under the Kullback–Leibler divergence-based and squared Wasserstein-2 distance-based perception measures. This connection provides an organizational framework for assessing existing bounds on these functions. In particular, we show that the best-known bounds of Xie et al. are nonredundant when examined through this connection.",
keywords = "Kullback–Leibler divergence, Wasserstein distance, optimal transport, rate-distortion-perception theory, squared error, transportation inequality",
author = "Li Xie and Liangyan Li and Jun Chen and Lei Yu and Zhongshan Zhang",
note = "Publisher Copyright: {\textcopyright} 2025 by the authors.",
year = "2025",
month = apr,
doi = "10.3390/e27040441",
language = "English",
volume = "27",
journal = "Entropy",
issn = "1099-4300",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "4",
}