# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": true, "confidence": 8, "verdict": "Implemented Observability-Gated Spectral Phase Initialization on a structurally matched custom graph-synchronization regression track using identical mlp_tiny systems and a shared learning-rate sweep. The idea significantly improved test MSE: baseline mean 0.718486 versus idea mean 0.217423, paired delta -0.501063, permutation p=0.0081, with 8/8 paired wins. The trained-model mechanism signature confirmed the predicted downstream benefit, although this MVP uses preprocessing alignment rather than a learned GNN phase layer.", "metrics": { "baseline": "Best lr=0.01; full 8-seed MSE mean 0.718486, std 0.600536; sweep means lr=0.001: 0.554454, lr=0.003: 0.509331, lr=0.01: 0.487007.", "idea": "Best lr=0.003; full 8-seed MSE mean 0.217423, std 0.075185; sweep means lr=0.001: 0.245355, lr=0.003: 0.217423, lr=0.01: 0.290202.", "paired_delta_mean": -0.5010633105412126, "permutation_p_value": 0.0081, "idea_wins": 8, "mechanism_signature": { "predicted_baseline_mse": 0.4704003967344761, "observed_aligned_mse": 0.3038702141493559, "observed_aligned_residual_std": 0.4300309270620346, "confirmed": true } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_phase.py", "files": [ "phase_track.py", "bench_phase.py", "bench_report.json" ], "limitations": "The benchmark uses a custom lightweight regression track rather than a built-in GNN track because no built-in track exposes multi-node pairwise relative-phase observations. It tests preprocessing spectral alignment with an MLP, not differentiable Jacobian-gated refinement, WLS refinement, downstream GCN classification, wall-clock speed, or robustness across graph sparsity/noise sweeps.", "bench_report": { "bench_version": 1, "track": "phase_synchronization_regression", "model": "mlp_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01 }, "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.5544544011354446 }, { "cfg": { "lr": 0.003 }, "mean": 0.5093307048082352 }, { "cfg": { "lr": 0.01 }, "mean": 0.4870074987411499 } ], "full": { "mean": 0.7184864804148674, "std": 0.6005355689639164, "per_seed": [ 0.5706357359886169, 0.43496403098106384, 0.42483416199684143, 0.5175960659980774, 0.4055282473564148, 0.73640376329422, 0.3769463896751404, 2.2809834480285645 ], "n": 8 } }, "idea": { "mean": 0.21742316987365484, "std": 0.0751846884485342, "per_seed": [ 0.21176113188266754, 0.1522442102432251, 0.22154822945594788, 0.09710203856229782, 0.3232591152191162, 0.24092552065849304, 0.1655595749616623, 0.32698553800582886 ], "n": 8 }, "comparison": { "delta_mean": -0.5010633105412126, "idea_wins": 8, "n_pairs": 8, "per_seed_diffs": [ -0.3588746041059494, -0.28271982073783875, -0.20328593254089355, -0.42049402743577957, -0.08226913213729858, -0.49547824263572693, -0.2113868147134781, -1.9539979100227356 ], "p_value": 0.0081, "mde": 0.5030248995072959, "mde_rel_pct": 70.01174179600986, "verdict": "idea better (significant)", "system_worked": true }, "custom_track": { "name": "phase_synchronization_regression", "file": "phase_track.py", "domain": "geometry/graph synchronization" }, "idea_sweep": [ { "cfg": { "lr": 0.001 }, "result": { "mean": 0.2453548777848482, "std": 0.07094670006301455, "per_seed": [ 0.27867943048477173, 0.1840101033449173, 0.20311710238456726, 0.15075239539146423, 0.3714803159236908, 0.24977633357048035, 0.19869858026504517, 0.3263247609138489 ], "n": 8 } }, { "cfg": { "lr": 0.003 }, "result": { "mean": 0.21742316987365484, "std": 0.0751846884485342, "per_seed": [ 0.21176113188266754, 0.1522442102432251, 0.22154822945594788, 0.09710203856229782, 0.3232591152191162, 0.24092552065849304, 0.1655595749616623, 0.32698553800582886 ], "n": 8 } }, { "cfg": { "lr": 0.01 }, "result": { "mean": 0.2902024118229747, "std": 0.1461298164928991, "per_seed": [ 0.3044014573097229, 0.08412133902311325, 0.27784958481788635, 0.13880692422389984, 0.478528767824173, 0.47114890813827515, 0.14776097238063812, 0.41900134086608887 ], "n": 8 } } ], "mechanism_signature": { "prediction": "spectral alignment reduces downstream test MSE and residual spread", "predicted_baseline_mse": 0.4704003967344761, "observed_aligned_mse": 0.3038702141493559, "observed_aligned_residual_std": 0.4300309270620346, "confirmed": true }, "runtime_sec": 49.546178102493286 }, "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 1, "system_judged": true }