Supplementary materials for Mass Homogeneous Kernel Stein Regularization for Fuzzy C-Means: Optimization and Local Collapse

Supplementary information, machine-readable tables and computational materials accompanying the manuscript Mass Homogeneous Kernel Stein Regularization for Fuzzy C-Means: Optimization and Local Collapse. Online Resource 1 (PDF) contains supplementary Tables S1-S12 and Figure S1. Online Resource 2 (ZIP) contains machine-readable supplementary tables and editable source files for the supplementary information. Online Resource 3 (ZIP) contains the baseline, extended-validation and collapse-study code; public benchmark source records; recorded simulation inputs; fitted states and multistart results; solver diagnostics; plotted values; current manuscript figure assets; mathematical checks; and reproduction instructions. Start with README_REPRODUCE.txt inside Resource 3. MANIFEST_SHA256.json and verify_materials.py support file-integrity verification. The recorded evidence includes unsuccessful solver attempts, numerical ties and the stated scope of conditional fixed-fit statistics. The current reported data and results are preserved. Packaging does not introduce new model fits. Reuse of third-party data and software remains subject to the source-specific terms and attributions documented in the archives.