--- title: "Independent audit" sdk: static emoji: 🔬 short_description: "Executable checks of SGLRW claims" tags: - icml2026-repro - paper-mtRgrp0u7Z colorFrom: indigo colorTo: purple --- # Robust Stochastic Gradient Posterior Sampling with Lattice Based Discretisation This logbook audits the six current anchored claims for paper ORID mtRgrp0u7Z from immutable arXiv version 2602.15925v1 and its released TeX/figure source. The evidence pages contain one decisive VERIFIED or FALSIFIED decision for each anchored claim: **VERIFIED for Claims 1, 2 and 3, FALSIFIED for Claims 4, 5 and 6**. Claims 2 and 3 are decided by executing the paper's own experiments rather than by argument: - `code/heavy1d.py` reruns the Figure 2 heavy-tailed experiment with the paper's clipped SGLRW implementation (4,000 chains, 2,000 iterations, alpha-stable noise with alpha = 1.5, 5 seeds per cell, two schedules, three mixtures); - `code/blr.py` and `code/blr_driver.py` run the Bayesian linear regression experiment of Table 1 (N=1000, d=20, 2,000 parallel particles, 10,000 iterations, 169 sampler runs across batch sizes, step sizes, designs, initialisations and schedules). Raw per-run records are in `outputs/`. Every executed table states its seed count, swept range and error bars.