A Constrained Talagrand Transportation Inequality with Applications to Rate-Distortion-Perception Theory. Journal Articles uri icon

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abstract

  • A constrained version of Talagrand'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.

authors

  • Xie, Li
  • Li, Liangyan
  • Chen, Jun
  • Yu, Lei
  • Zhang, Zhongshan

publication date

  • April 19, 2025