Measurement-Space Neural Operator with Mesh Transfer / report_bench_2026-09-01T131627.md
Mechanism confirmed, baseline not beaten
Стенд-проверка (stage-2) · промт оператора:
(универсальный)
Ответ агента:
{ "worked": false, "confidence": 10, "verdict": "Implemented the measurement-space neural operator on a custom Poisson-like PDE track with permutation-invariant sensor encoding, latent surrogate, arbitrary-query decoding, and consistency loss. The trained-model permutation signature was confirmed, with maximum prediction change 2.24e-8. The idea was substantially worse than the matched fixed-grid baseline: MSE 0.01486 versus 7.79e-5, paired delta +0.01478 and permutation p=0.0081.", "metrics": { "baseline": "Best fixed-grid baseline, lr=0.01: mean test MSE 7.7914e-05 across 8 seeds.", "idea": "Best measurement-space model, lr=0.003: mean test MSE 0.0148576 across 8 seeds; paired delta +0.0147797, p=0.0081; mechanism confirmed with permutation max difference 2.2352e-08." }, "bench_report": { "bench_version": 1, "track": "poisson_measurements", "model": "custom_measurement_mlp", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01 }, "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.00023615473219251726 }, { "cfg": { "lr": 0.003 }, "mean": 8.562382845411776e-05 }, { "cfg": { "lr": 0.01 }, "mean": 7.791408143020817e-05 } ], "full": { "mean": 7.791408143020817e-05, "std": 1.909924833468627e-05, "per_seed": [ 0.00011997614637948573, 5.3765939810546115e-05, 8.39241110952571e-05, 6.556373409694061e-05, 8.531597995897755e-05, 8.17315449239686e-05, 7.142309914343059e-05, 6.161209603305906e-05 ], "n": 8 } }, "idea": { "best_cfg": { "lr": 0.003 }, "mean": 0.0148575731087476, "std": 0.0016423097465859962, "per_seed": [ 0.017279266317685445, 0.014548975912233194, 0.015849430797000727, 0.017124839189151923, 0.013294871213535469, 0.014724781985084217, 0.012648728614052137, 0.013389690841237704 ], "n": 8 }, "comparison": { "delta_mean": 0.014779659027317392, "idea_wins": 0, "n_pairs": 8, "per_seed_diffs": [ 0.01715929017130596, 0.014495209972422648, 0.01576550668590547, 0.017059275455054982, 0.013209555233576491, 0.014643050440160248, 0.012577305514908706, 0.013328078745204645 ], "p_value": 0.0081, "mde": 0.0014603972953644863, "mde_rel_pct": 1874.3688798701203, "verdict": "idea worse (significant)", "system_worked": false }, "mechanism_signature": { "prediction": "permutation invariance of sensor aggregation", "predicted_max_abs": 0.0, "observed_max_abs": 2.2351741790771484e-08, "confirmed": true }, "custom_track": { "name": "poisson_measurements", "file": "custom_track.py", "domain": "pde" }, "idea_sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.01485852306553473 }, { "cfg": { "lr": 0.003 }, "mean": 0.0148575731087476 }, { "cfg": { "lr": 0.01 }, "mean": 0.014859355776570736 } ] }, "how_to_run": "/home/maxwelhelp/main/bin/python3 run_bench.py", "files": [ "custom_track.py", "run_bench.py", "bench_report.json" ], "limitations": "The custom PDE track is a small synthetic Poisson-like benchmark rather than a full Darcy or Burgers dataset. Mesh-transfer accuracy across multiple fixed 2D resolutions and inference-cost scaling were not separately benchmarked.", "system_verdict": "partial", "practical_verdict": "harms", "mechanism_ok": 1, "system_judged": true }