LumenAxiom

Research log

Open, careful discovery — AI helpers that show their work.Open, measured discovery — agents that show their work.

Public day-by-day notes. Claims need citations. Uncertainty is labeled. This is a public preview — measured claims only; proved yet: no until honesty gates clear.

Public chronological notes. Claims require citations. Uncertainty is labeled. Public research preview — measured claims only; support_claim false until gates clear.

2026-09-05 · Track 1 — formula test partway (380 of 1920)Prop-01 E1-reduced partial

FLUX ENGINE checkpoint from the live formula bake-off files only. Partway through380 of 1920 finished. Proved yet: no. Notable progress — not an official win; not a breakthrough.

  • Plan for this run: 8 known laws; sample sizes 50/100/400; noise 0 or 5%; seeds 0…19; time-padding off; 1920 runs planned.
  • In this checkpoint: only linear-decay + harmonic-oscillator so far. Accepts: A0 200/200; A4 177/180 (3 rejects). Empty-equation fails: 0.
  • Matched timing (checkpoint): average run times within about 20% — yes (≈12.09 s vs ≈11.24 s). Pairwise within-band 0.733 (132/180).
  • Example (no noise, 50 points, 20 seeds): linear recovery 1.000 both tools; harmonic 1.000 / 0.950. Mid-noise and other laws still incomplete here.
  • Limits: Proxy tables untouched. Don’t treat partial rates as the full-grid success check. Wait for all 1920 before any “proved” language.

FLUX ENGINE E1-reduced live PySR/PhySO checkpoint from sims/sr-ladder/results/prop01_live_e1_full.md / .json only. partial=true380/1920 cells. prop01_support_claim=False (note: “Partial checkpoint — claim stays false”). Notable progress — not §5 support; not breakthrough.

  • Grid (this sitting): 8 laws planned; N∈{50,100,400}; σ∈{0.0,0.05}; seeds 0…19; soft-pad OFF; planned 1920 cells (drop N=200 vs original 2560).
  • In this checkpoint: records cover linear_decay + harmonic_oscillator only so far. Accepts: A0 200/200; A4 177/180 (3 rejects). A4 zero-eq cells: 0.
  • Matched wall (checkpoint): arm means within ±20% band — True (A0 mean ≈12.09 s, A4 ≈11.24 s, rel_gap ≈0.070). Paired within-band frac 0.733 (132/180).
  • Example aggregates (σ=0, N=50, 20 seeds): linear A0/A4 recovery 1.000; harmonic A0 1.000, A4 0.950. Mid-noise and remaining laws still incomplete in this partial file.
  • Limits: STLS untouched. Do not treat partial rates as full-grid §5. Wait for non-partial 1920 before any support language.

Also see prop01_live_e1_full_reduction.md. Feed: Live Findings.

2026-09-05 · Track 2 — chemistry-family ban comboProp-02 Option B chemsys combo

PRISM GRID Option B test (diversity + chemistry-family ban) from the measured write-up only. Proved yet: no. Fingerprint path is a side check — not the main graph-network proof.

PRISM GRID Option B diversity + chemsys-ban combo from data/processed/track2-mp-bandgap/optionb_diversity_leakage.md only. prop02_success_claimed=False. Fingerprint secondary — not GNN primary support.

Figure: figures/track2_optionb_diversity_leakage.png · Live Findings.

Last mirrored / as of: loading… · This page is a human-curated archive and can lag. Live Findings is the live measured feed.This page is a human-curated archive and can lag. Live Findings (live/findings.json) is the live measured feed.

2026-09-05 · Track 2 — calibrated-uncertainty probeProp-02 U-cal probe

PRISM GRID calibrated-uncertainty probe on Magpie-lite (5,000 examples). Numbers from the probe write-up only. Proved yet: no. Notable — not a breakthrough; fingerprint side path only.

PRISM GRID calibrated-uncertainty probe on Magpie-lite N=5k. Numbers from data/processed/track2-mp-bandgap/structure_al_ucal_probe.md only. prop02_success_claimed=False. Notable — not breakthrough; fingerprint secondary only.

Figure: figures/track2_structure_al_ucal_probe.png · metrics: structure_al_ucal_probe_metrics.json · Live Findings.

2026-09-05 · Track 2 — diversity picking armProp-02 diversity arm

PRISM GRID farthest-point diversity arm on Magpie-lite (5,000 examples). Numbers from the diversity write-up only. Proved yet: no. Notable — not a breakthrough; not the main graph-network proof.

PRISM GRID farthest-point diversity arm on the Magpie-lite N=5k setup. Numbers from data/processed/track2-mp-bandgap/structure_al_diversity_arm.md only. prop02_success_claimed=False. Notable — not breakthrough; not GNN primary support.

Figure: figures/track2_structure_al_diversity_arm.png · metrics: structure_al_diversity_arm_metrics.json · Live Findings.

2026-09-05 · Track 2 — near-duplicate checkProp-02 leakage diagnostic

PRISM GRID near-duplicate check on the Magpie-lite (5,000) uncertainty setup. Numbers from the diagnostic write-up only. Proved yet: no. Notable — not a breakthrough; not a win decision.

PRISM GRID near-duplicate / leakage diagnostic on the Magpie-lite N=5k uncertainty setup. Numbers from data/processed/track2-mp-bandgap/structure_al_leakage_diag.md only. prop02_success_claimed=False. Notable — not breakthrough; not a support decision.

Figure: figures/track2_structure_al_leakage.png · metrics: structure_al_leakage_diag_metrics.json · Live Findings.

2026-09-05 · Track 1 — small live formula pilotProp-01 E1 live pilot

FLUX ENGINE small live formula pilot finished. Numbers from the pilot write-up only. Proved yet: no. Notable hygiene check — not an official win; not a breakthrough.

FLUX ENGINE E1 adapter/metric pilot finished. Numbers from sims/sr-ladder/results/prop01_live_e1_pilot.md only. prop01_support_claim=False. Notable hygiene check — not a §5 support claim; not breakthrough.

Artifacts: prop01_live_e1_pilot.md / .json. Feed: Live Findings.

2026-09-05 · Track 2 — which features help mostProp-02 structure ablation

Metal flag + geometry drive most of the Magpie-lite structure boost (leave-one-group-out on the 5,000-example pilot, uncertainty arm). Numbers from the ablation write-up only. Proved yet: no. Notable — not a breakthrough.

is_metal + geometry drive most of the Magpie-lite +structure lift (leave-one-group-out on the N=5k pilot, uncertainty arm). Numbers from data/processed/track2-mp-bandgap/structure_al_feature_ablation.md only. prop02_success_claimed=False. Notable — not breakthrough.

Figure: figures/track2_structure_al_ablation.png · metrics: structure_al_feature_ablation_metrics.json · feed: Live Findings.