# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": false, "confidence": 9, "verdict": "Implemented an end-to-end SU(2) quaternion transport classifier on the structurally matched holonomy cycle track, with identical baseline and idea architectures and Wilson-loop loss as the only intervention. The idea achieved mean test error 0.0150 versus baseline 0.0244, with 6/8 paired wins and delta -0.009375, but the paired permutation p-value was 0.2182, so this is not a significant win under the benchmark protocol. The trained model showed compatibility M=0.8123 and Wilson energy 0.1877; the covariance/flatness sanity check passed numerically, but this mechanism signal does not override the nonsignificant task result.", "metrics": { "baseline": "holonomy_cycle_sector; best lr=0.006, weight_decay=0.0, epochs=8; full mean error=0.0243749991, per-seed=[0.0500,0.0200,0.0150,0.0300,0.0150,0.0100,0.0250,0.0300]", "idea": "Wilson lambda=0.1, lr=0.006, weight_decay=0.0, epochs=8; full mean error=0.0149999995, per-seed=[0.0050,0.0150,0.0100,0.0100,0.0150,0.0050,0.0450,0.0150]; delta=-0.0093749996; p=0.2182", "mechanism_signature": "trained seed-0 compatibility M=0.8122859, Wilson energy=0.1877141; quaternion conjugation max error=3.58e-7 and pure-gauge flat-loop scalar=1.0; signature confirmed=true for the observed compatibility/frustration effect, not for task improvement" }, "bench_report": { "bench_version": 1, "track": "holonomy_cycle_sector", "model": "custom_transport_cycle", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.006, "epochs": 8, "wd": 0.0, "lam": 0.0 }, "sweep": [ { "cfg": { "lr": 0.001, "epochs": 8, "wd": 0.0, "lam": 0.0 }, "mean": 0.0412499977 }, { "cfg": { "lr": 0.001, "epochs": 8, "wd": 0.0001, "lam": 0.0 }, "mean": 0.0412499977 }, { "cfg": { "lr": 0.003, "epochs": 8, "wd": 0.0, "lam": 0.0 }, "mean": 0.0349999997 }, { "cfg": { "lr": 0.003, "epochs": 8, "wd": 0.0001, "lam": 0.0 }, "mean": 0.0349999997 }, { "cfg": { "lr": 0.006, "epochs": 8, "wd": 0.0, "lam": 0.0 }, "mean": 0.0287499989 }, { "cfg": { "lr": 0.006, "epochs": 8, "wd": 0.0001, "lam": 0.0 }, "mean": 0.0287499989 } ], "full": { "mean": 0.0243749991, "std": 0.0118420588, "per_seed": [ 0.049999997, 0.0199999996, 0.0149999997, 0.0299999993, 0.0149999997, 0.0099999998, 0.0249999985, 0.0299999993 ], "n": 8 } }, "idea": { "mean": 0.0149999995, "std": 0.0119895782, "per_seed": [ 0.0049999999, 0.0149999997, 0.0099999998, 0.0099999998, 0.0149999997, 0.0049999999, 0.0449999981, 0.0149999997 ], "n": 8 }, "comparison": { "delta_mean": -0.0093749996, "idea_wins": 6, "n_pairs": 8, "per_seed_diffs": [ -0.0449999971, -0.0049999999, -0.0049999999, -0.0199999996, 0.0, -0.0049999999, 0.0199999996, -0.0149999997 ], "p_value": 0.2182, "mde": 0.015552957, "mde_rel_pct": 63.807, "verdict": "no significant win", "system_worked": false }, "idea_sweep": [ { "cfg": { "lr": 0.006, "epochs": 8, "wd": 0.0, "lam": 0.01 }, "mean": 0.0243749992 }, { "cfg": { "lr": 0.006, "epochs": 8, "wd": 0.0, "lam": 0.03 }, "mean": 0.0218749995 }, { "cfg": { "lr": 0.006, "epochs": 8, "wd": 0.0, "lam": 0.1 }, "mean": 0.0149999995 } ], "custom_track": { "name": "holonomy_cycle_sector", "file": "bench/custom_tracks/holonomy_cycle_sector.py", "domain": "graph-nn" } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 stage2_bench.py", "files": [ "stage2_bench.py", "bench_report.json", "run.log" ], "limitations": "The available matched track uses an 8-edge cycle and binary U(1)-style planted sectors rather than triangular SU(2) plaquettes on a general graph, so the experiment tests transfer of the Wilson-loop principle but not the full proposed GNN setting. No graph-size sweep, latent-frame randomization, or disorder susceptibility curve was run. The mechanism signature's confirmed flag reflects measured trained-model frustration reduction and algebraic sanity checks, not a statistically confirmed accuracy gain.", "system_verdict": "failed", "practical_verdict": "inconclusive", "mechanism_ok": null, "system_judged": true }