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Characterization of the Distortion-Perception Tradeoff for Finite Channels with Arbitrary Metrics

2024/02/03 by Dror Freirich, Freirich, Dror, Nir Weinberger +3
Computer Science · Engineering · #Advanced Data Compression Techniques #Advanced Wireless Communication Techniques #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Machine Learning (stat.ML) #Signal Processing (eess.SP) #Wireless Communication Security Techniques #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2402.02265

openalex publication_date 2024/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Whenever inspected by humans, reconstructed signals should not be distinguished from real ones. Typically, such a high perceptual quality comes at the price of high reconstruction error, and vice versa. We study this distortion-perception (DP) tradeoff over finite-alphabet channels, for the Wasserstein-1 distance induced by a general metric as the perception index, and an arbitrary distortion matrix. Under this setting, we show that computing the DP function and the optimal reconstructions is equivalent to solving a set of linear programming problems. We provide a structural characterization of the DP tradeoff, where the DP function is piecewise linear in the perception index. We further derive a closed-form expression for the case of binary sources.

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