Wavelet $$s$$-Wasserstein distances for $$0 < s\leqslant\,1

• Published in: Sampling theory, signal processing, and data analysis Vol. 23; no. 2
• Main Authors: Craig, Katy, Yu, Haoqing
• Format: Journal Article
• Language: English
• Published: 01.12.2025
• ISSN: 2730-5716; 2730-5724
• DOI: 10.1007/s43670-025-00113-4

Motivated by classical harmonic analysis results characterizing Hölder spaces in terms of the decay of their wavelet coefficients, we consider wavelet methods for computing $$s$$ -Wasserstein type distances. Previous work by Sheory (né Shirdhonkar) and Jacobs showed that, for $$0 < s\leqslant1$$...