# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": true, "confidence": 8, "verdict": "Implemented Green-Margin Residual Dynamics on the structurally matched dynamics track using the shared rnn_small GRU architecture. The intervention projects the recurrent perturbation so the measured Green estimate satisfies q=Gamma||W_hh||2<=0.8. Across 8 paired seeds it significantly improved test MSE: 0.00057228 versus baseline 0.00208631, paired delta=-0.00151403, permutation p=0.0081; the trained-model mechanism signature confirmed q≈0.8000.", "metrics": { "baseline": "test MSE mean 0.00208631, std 0.00045501, tuned lr=0.006; sweep means lr=0.001: 0.00410370, lr=0.003: 0.00338617, lr=0.006: 0.00169839", "idea": "test MSE mean 0.00057228, std 0.00029326, tuned lr=0.006; idea sweep means lr=0.001: 0.23657939, lr=0.003: 0.00440150, lr=0.006: 0.00057228; q estimate 0.78160", "comparison": "paired delta=-0.00151403, 8/8 idea wins, permutation p=0.0081, verdict idea better (significant)", "mechanism_signature": "trained-model observed recurrent gain 0.159998, Gamma=5, observed q=0.799992, predicted response bound 4.9998, observed input sensitivity 0.3732, confirmed=true" }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_green_margin.py", "files": [ "bench_green_margin.py", "bench_report.json" ], "limitations": "Only the built-in dynamics track and rnn_small GRU were tested. The implementation constrains the GRU recurrent matrix spectral norm as a practical Green-margin proxy rather than estimating the full nonautonomous transition kernel or per-layer Jacobian margins. The run used 12 epochs, 400 training examples, 400 test examples, one small learning-rate grid, and no longer-horizon rollout, non-diagonal backbone, FLOP/speed, or target-margin ablation.", "bench_report": { "bench_version": 1, "track": "dynamics", "model": "rnn_small", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.006 }, "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.004103701037820429 }, { "cfg": { "lr": 0.003 }, "mean": 0.0033861721749417484 }, { "cfg": { "lr": 0.006 }, "mean": 0.0016983873210847378 } ], "full": { "mean": 0.0020863086683675647, "std": 0.00045500750701757853, "per_seed": [ 0.0018287990242242813, 0.0014274335699155927, 0.0014271392719820142, 0.002110177418217063, 0.002619170816615224, 0.0024625908117741346, 0.002196874236688018, 0.00261828419752419 ], "n": 8 } }, "idea": { "mean": 0.0005722835539927473, "std": 0.0002932567715427045, "per_seed": [ 0.000741662981454283, 0.0004835625004488975, 0.00047368029481731355, 0.00031156351906247437, 0.0005250111571513116, 0.0005999802378937602, 0.0002084407169604674, 0.001234367024153471 ], "n": 8, "final_recurrent_gain": 0.15632064081728458, "q_estimate": 0.781603204086423, "q_target": 0.8 }, "comparison": { "delta_mean": -0.0015140251143748173, "idea_wins": 8, "n_pairs": 8, "per_seed_diffs": [ -0.0010871360427699983, -0.0009438710694666952, -0.0009534589771647006, -0.0017986138991545886, -0.0020941596594639122, -0.0018626105738803744, -0.0019884335197275504, -0.001383917173370719 ], "p_value": 0.0081, "mde": 0.0004000819361453537, "mde_rel_pct": 19.176545743751255, "verdict": "idea better (significant)", "system_worked": true }, "protocol": { "paired_seeds": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "epochs": 12, "batch": 128, "q0": 0.8, "grid": [ { "lr": 0.001 }, { "lr": 0.003 }, { "lr": 0.006 } ], "idea_sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.2365793865174055 }, { "cfg": { "lr": 0.003 }, "mean": 0.004401497146318434 }, { "cfg": { "lr": 0.006 }, "mean": 0.0005722835539927473 } ] }, "mechanism_signature": { "trained_model": true, "backbone_gamma": 5.000000000000001, "observed_recurrent_gain": 0.15999846160411835, "observed_q": 0.7999923080205918, "predicted_green_response_bound": 4.99980770791033, "observed_input_sensitivity": 0.373172789812088, "baseline_test_mse_seed0": 0.0018287990242242813, "idea_test_mse_seed0": 0.0006890770746394992, "confirmed": true }, "custom_track": null }, "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 1, "system_judged": true }