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| language: | |
| - en | |
| tags: | |
| - masked-diffusion | |
| - learning-theory | |
| - reproducibility | |
| - numerical-verification | |
| pretty_name: MDM Coverage Experiments | |
| # MDM Coverage Experiments | |
| Code, configurations, numerical data, finite certificates, and figures for | |
| **Sharp Accuracy Thresholds for Parallel Masked Sampling of Noisy Pairs**. | |
| This backup combines the original experiment server with the local audits and | |
| the compact reproducibility package. It preserves exploratory candidates, | |
| failed and retried solver cases, and superseded plots alongside the final results. | |
| No neural-network training, external dataset, or GPU is needed. | |
| ## Where to start | |
| | Folder | Purpose | | |
| | --- | --- | | |
| | `reproducibility/` | Curated sources, frozen inputs, results, and runnable verification instructions for all four phases | | |
| | `server/` | Original server experiment tree, including full candidate searches, logs, retries, historical archives, and the September 25 revision | | |
| | `local_archive/` | Local experiment copies, independent audit scripts/results, and corrected presentation artifacts | | |
| | `environment/` | Archived original server virtual-environment wrapper and portability notes | | |
| | `MANIFEST.sha256` | SHA-256 checksums for every other uploaded file | | |
| | `BACKUP_CONTENTS.json` | Backup scope and source-to-copy checksum verification | | |
| For final paper-facing plots, start with | |
| `local_archive/revision_20260925/results_final/figures/`, the corrected legacy | |
| plots in `local_archive/revision_20260925/figures/`, and the phase-3 | |
| `presentation/` directory. Historical figures remain in their original paths; | |
| they are not all current manuscript figures. | |
| ## Quick exact verification | |
| From the repository root: | |
| ```sh | |
| cd reproducibility | |
| python3 -B verify_frozen.py --phase all --output-dir verification_output | |
| python3 -B checks/verify_interface_selection.py | |
| ``` | |
| The first command requires a **new** output directory and uses only the Python | |
| standard library. It recomputes 27 fair-model and 15 biased-model certificates | |
| and compares every stored non-timing field. Detailed commands and the numerical | |
| interpretation are in [the reproducibility README](reproducibility/README.md). | |
| The stored validation report is `reproducibility/VALIDATION.json`. | |
| ## Numerical environment | |
| The reported numerical experiments used Python 3.13.13, NumPy 2.2.6, SciPy | |
| 1.17.1, and Matplotlib 3.10.9. Create a fresh environment outside the frozen | |
| result directories: | |
| ```sh | |
| python3.13 -m venv .venv-local | |
| source .venv-local/bin/activate | |
| python -m pip install -r reproducibility/requirements-numerical.txt | |
| export OPENBLAS_NUM_THREADS=1 | |
| export OMP_NUM_THREADS=1 | |
| export MKL_NUM_THREADS=1 | |
| export MPLBACKEND=Agg | |
| ``` | |
| The original `.venv` is also retained as an archive, but it shares its parent | |
| Conda installation and is **not a self-contained or portable environment**. | |
| Use the pinned requirements for a fresh machine. | |
| ## Full experiment commands | |
| Run phases 1--3 from `server/`. Use unique run names beginning with `run-`; | |
| the runners protect existing result directories. | |
| ```sh | |
| cd server | |
| python src/run_study.py --config configs/phase1.json --run-id run-local-phase1 | |
| python phase2/src/run_phase2.py --config phase2/configs/phase2.json --run-id run-local-phase2 | |
| python phase3/run_phase3.py --run-id run-local-phase3 | |
| ``` | |
| Phase 3 uses the committed phase-2 witness inputs; its results are therefore | |
| independent of the name of a newly run phase-2 search. The original recovery | |
| protocol for the two phase-2 LP timeouts, individual-stage commands, and plotting | |
| commands are documented in [the server README](server/README.md). | |
| For phase 4, from the repository root: | |
| ```sh | |
| cd server/revision_20260925 | |
| python run_revision.py --output results_local --max-seconds 480 | |
| ``` | |
| This writes new results without replacing `results_final/`. The full protocol, | |
| matched-KL cases, infeasible setting, and floating-point quadrature diagnostics | |
| are in `results_final/REPORT.md` and `results_final/quadrature_validation.json`. | |
| The curated README also explains how to reproduce plots in a copied directory. | |
| ## Interpreting the data | |
| - Phase 1 contains floating-point model/execution diagnostics and small policy LPs. | |
| - Phase 2 contains rational finite-oracle certificates for selected fair models, | |
| as well as the exploratory candidate search and its unsuccessful cases. | |
| - Phase 3 contains fixed-schedule comparisons and rational biased-model certificates. | |
| - Phase 4 contains deterministic floating-point count-event lower witnesses | |
| for tested policies and evaluations of an analytic selection upper bound. | |
| The exact finite certificates and the floating-point diagnostics have different | |
| guarantees. These experiments do not replace the analytic proofs, establish | |
| asymptotic exponents by fitting curves, or measure performance on language data. | |
| Source/configuration hashes and original status records are preserved. | |
| ## Backup integrity and scope | |
| Verify a downloaded copy with either command: | |
| ```sh | |
| sha256sum -c MANIFEST.sha256 # Linux | |
| shasum -a 256 -c MANIFEST.sha256 # macOS | |
| ``` | |
| The source snapshot is dated October 7, 2026 (America/Los_Angeles). Server and | |
| local copies are kept separately where provenance or presentation differs. | |
| Git metadata, unpacked Python bytecode caches, SSH credentials, and authentication | |
| tokens are excluded. Historical run archives are preserved as received after | |
| inspection; they may contain redundant source and bytecode copies. The manuscript, | |
| review correspondence, and unrelated server projects are outside this backup. | |
| No new software or data license is granted by this backup. Existing vendored | |
| dependency license notices remain in the archived environment. An explicit | |
| research-code/data license can be added separately by the owner. | |