README.md

# Improved Dimension Dependence for BCO — exact /6 CPU reproduction

This is a local, source-locked reproduction package for OpenReview `X8evkEdMxb` / arXiv `2602.04761`. It targets `neonforestmist/improved-dimension-bco-gradient-variation-repro` with exact tags `icml2026-repro` and `paper-X8evkEdMxb`.

The package tests all three official base claims and all six official anchored claims. Its conservative local forecast is **6/6**, not an official verdict. It does not fit or claim any unspecified big-O constant.

Evidence includes exact dimension-exponent certificates for Theorems 1–4 and Table 1, exact one- and two-point estimator expectation checks, executable Appendix practical one-point solves on hyper-rectangles, dynamic meta/base traces, universal curvature-grid coverage, destructive controls, 95 independent tests, and a byte-identical full replay.

Run locally with:

```bash
python reproduction/fetch_source_lock.py
python reproduction/run_experiments.py
python reproduction/run_tests.py
python reproduction/verify_repeatability.py
python reproduction/build_poster.py
```

CPU only. GPU and MPS are not used. Remote writes are locked until the coordinator assigns a rolling publication slot.