Figure-Source Data and Reproducibility Materials for "Noncommutativity of Sampling and Randomization in Interfacial Roughness Inference"

This repository provides figure-source data and reproducibility materials associated with the manuscript “Noncommutativity of Sampling and Randomization in Interfacial Roughness Inference.” The study examines 80 stored interfaces, comprising 33 urban boundaries, 32 experimental viscous-fingering interfaces, and 15 simulated viscous-fingering interfaces. Five threshold-based representations of a single processed magnetic-domain image are included as a separate illustrative case and are not treated as independent experiments. The accompanying materials document the reported comparisons between observed interfacial roughness and conditional Within-sign randomized references under nested angular sampling. The analyses address sampling sensitivity, common-grid decomposition of reference expectations, fitted roughness-exponent contrasts, finite noncommutation constructions, and the compatibility of sampling-independent geometric-event references. The reported results include 544 of 560 dependent interface–window comparisons in which the reference-law contribution exceeds the within-ensemble grid-evaluation contribution in absolute magnitude, together with geometry-based moment-mismatch certificates for three selected stored interfaces. The repository is intended to support examination and reproduction of the reported results to the extent permitted by the archived source files, computational materials, and documentation. The included README and file manifests specify the available inputs, derived outputs, computational procedures, and any limitations on full scientific recomputation. Third-party source datasets and their original publications should be cited separately. Redistribution and reproduction are subject to the provenance and licensing conditions documented in the repository.