research_log — WP28 "distributed MLE: local bias correction vs. global synchronization"
2026-10-28
- 18:33 Mandate received (brief
CLAUDE.md, 1,055 lines). Series inspected; template and WP 25/27 conventions noted (PROJECT_MAP.md). - 18:36 Prior draft located in
~/Downloads/WP28_UQO_Claude_Research_Brief/; frozen underreferences/initial_pamle/with SHA256. - 18:39 Original Monte Carlo re-run:
python3 monte_carlo.pyin a scratch copy, seed 20261028 → max |Δ| = 7e-15 (summary), 4.5e-13 (replicates). Oldpamle.texcompiles (16 pp.). - 18:45 Cluster inventory: 22 nodes reachable; default
python3lacks NumPy on most minis → Phase 8 will provision a venv per node. - 18:47 Four literature-verification tasks launched (ZDW/Huang–Huo/Lin–Xi/Rosenblatt–Nadler; CSL/CEASE/FONE/DANE/EDSL/Battey/ Volgushev/Shang–Cheng; jackknife & bias-correction classics; 2013–2026 priority-threat sweep).
- Decision: identifier WP28 kept (see SOURCE_PROVENANCE.md collision note).
- 18:55 Audit A received and archived (literature/audit_A_*.md, PRIOR_ART_MATRIX.csv rows 1-4). Key facts: HH19 proves one-step equivalence only under k=O(√N) from an uncorrected average; ZDW SAVGM = single-ratio subsampling correction with inflated variance constant, no jackknife/higher order; LX11 K≪N^{1/4}; RN16 m fixed.
- 19:00 Audit B archived (8 papers). Fixed sign of the analytic Cox–Snell correction (b_1 = +½ I^{-1} T; exponential check b_1 = θ0).