# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": true, "confidence": 8, "verdict": "The structurally matched actuated-pendulum dynamics benchmark used identical training budgets and a shared learning-rate grid for vanilla RNN and Van der Pol recurrent systems. The idea significantly improved test MSE: mean 0.0003242 versus 0.0007790 for the tuned baseline, with 7/8 paired wins and permutation p=0.02365. The mechanism signature was weak rather than a precise confirmation: the observed trained final radius was 0.2807 versus target R=1.0, although it remained bounded.", "metrics": { "baseline": "Vanilla RNN, tuned lr=0.01: test MSE mean 0.0007789819 ± 0.0005449067 across 8 seeds; per-seed [0.0004327, 0.0009103, 0.0018180, 0.0015056, 0.0003418, 0.0005398, 0.0003553, 0.0003285]. Baseline sweep means: lr=0.001 -> 0.0109576, lr=0.003 -> 0.0040046, lr=0.01 -> 0.0011666.", "idea": "Van der Pol recurrent cell, best lr=0.01: test MSE mean 0.0003241945 ± 0.0001932752 across 8 seeds; per-seed [0.0002170, 0.0001709, 0.0004196, 0.0006575, 0.0003262, 0.0005628, 0.0001599, 0.0000798]. Paired delta idea-baseline = -0.0004547874, 7/8 wins, permutation p=0.02365." }, "bench_report": { "bench_version": 1, "track": "dynamics", "model": "rnn_small", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01 }, "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.010957567719742656 }, { "cfg": { "lr": 0.003 }, "mean": 0.0040045627392828465 }, { "cfg": { "lr": 0.01 }, "mean": 0.0011666223363135941 } ], "full": { "mean": 0.0007789819283061661, "std": 0.0005449066573542593, "per_seed": [ 0.0004326741036493331, 0.0009102700278162956, 0.001817952492274344, 0.0015055927215144038, 0.00034183310344815254, 0.0005397810018621385, 0.0003552548005245626, 0.0003284971753600985 ], "n": 8 } }, "idea": { "mean": 0.0003241945451009087, "std": 0.00019327521222211555, "per_seed": [ 0.00021697876218240708, 0.00017088398453779519, 0.0004196226072963327, 0.0006574693834409118, 0.00032616479438729584, 0.0005627786158584058, 0.00015987764345481992, 7.978056964930147e-05 ], "n": 8 }, "comparison": { "delta_mean": -0.00045478738320525736, "idea_wins": 7, "n_pairs": 8, "per_seed_diffs": [ -0.00021569534146692604, -0.0007393860432785004, -0.0013983298849780113, -0.000848123338073492, -1.566830906085067e-05, 2.299761399626732e-05, -0.00019537715706974268, -0.000248716605710797 ], "p_value": 0.02365, "mde": 0.00041375551687401714, "mde_rel_pct": 53.11490573005916, "verdict": "idea better (significant)", "system_worked": true }, "mechanism_signature": { "prediction": "trained hidden radii bounded near target R", "predicted_radius": 1.0, "observed_final_radius": 0.28066903352737427, "absolute_error": 0.7193309664726257, "confirmed": true }, "selection": { "best_idea_cfg": { "lr": 0.01 }, "baseline_grid": [ { "lr": 0.001 }, { "lr": 0.003 }, { "lr": 0.01 } ], "structural_match": "actuated pendulum rollout stability/control" } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_vdp.py", "files": [ "bench_vdp.py", "bench_report.json" ], "limitations": "Only the built-in dynamics track was tested; tabular, vision, and sequence tracks were not applicable to the recurrent stability/control mechanism. The radius signature was measured from one trained model and used a broad boundedness tolerance; it does not establish convergence specifically to R=1. The implementation uses Euler integration rather than RK2/RK4 and keeps frequency, gain, radius, and step size fixed rather than learning or sweeping them.", "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 1, "system_judged": true }