# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": true, "confidence": 9, "verdict": "Implemented small-gain recurrent operator projection on the registered dynamics track using matched rnn_small GRU systems. The idea achieved significantly lower test MSE than the tuned baseline on all 8 paired seeds, with permutation p=0.0081. The trained-model gain proxy stayed below the 0.90 cap, but this is evidence from one small benchmark only.", "metrics": { "baseline": "Unconstrained rnn_small, tuned lr=0.005: mean test MSE 0.0003818532, std 0.0001613648.", "idea": "Projected rnn_small, gain cap=0.90 and lr=0.005: mean test MSE 0.0001617695, std 0.0000254929; paired delta -0.0002200837; 8/8 wins; p=0.0081." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_experiment.py", "files": [ "bench_experiment.py", "bench_report.json" ], "limitations": "Only the registered built-in dynamics track was tested. No larger model, alternative caps, explicit complete nonlinear GRU gain matrix, long-horizon rollout metric, FLOP-normalized comparison, or repeated rerun was tested; recurrent gate operator norms are an engineering proxy for the full small-gain certificate.", "bench_report": { "bench_version": 1, "track": "dynamics", "model": "rnn_small", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.005, "rho_cap": null }, "sweep": [ { "cfg": { "lr": 0.001, "rho_cap": null }, "mean": 0.0012295851483941078 }, { "cfg": { "lr": 0.003, "rho_cap": null }, "mean": 0.0006583010253962129 }, { "cfg": { "lr": 0.005, "rho_cap": null }, "mean": 0.0004532121238298714 } ], "full": { "mean": 0.00038185320590855554, "std": 0.00016136478368296086, "per_seed": [ 0.00046871721860952675, 0.0002616161364130676, 0.00031301137642003596, 0.0007695037638768554, 0.0003513892588671297, 0.0002713301219046116, 0.0002475073270034045, 0.00037175044417381287 ], "n": 8 } }, "idea": { "mean": 0.00016176951703528175, "std": 2.54928932189329e-05, "per_seed": [ 0.00013927802501711994, 0.0001758444996085018, 0.0001558296353323385, 0.00020030193263664842, 0.0001420884218532592, 0.00012167391105322167, 0.00016640945977997035, 0.00019273025100119412 ], "n": 8 }, "comparison": { "delta_mean": -0.00022008368887327379, "idea_wins": 8, "n_pairs": 8, "per_seed_diffs": [ -0.0003294391935924068, -8.577163680456579e-05, -0.00015718174108769745, -0.000569201831240207, -0.00020930083701387048, -0.00014965621085138991, -8.109786722343415e-05, -0.00017902019317261875 ], "p_value": 0.0081, "mde": 0.0001347953881261106, "mde_rel_pct": 35.3003159435018, "verdict": "idea better (significant)", "system_worked": true }, "mechanism_signature": { "prediction": "Projected recurrent operator-gain proxy stays <= 0.90.", "predicted_max": 0.7689717411994934, "observed": [ { "seed": 0, "predicted_gain_proxy": 0.7254310846328735, "observed_output_gain": 0.0707114040851593 }, { "seed": 1, "predicted_gain_proxy": 0.7678388953208923, "observed_output_gain": 0.09257301688194275 }, { "seed": 2, "predicted_gain_proxy": 0.7689717411994934, "observed_output_gain": 0.07351840287446976 }, { "seed": 3, "predicted_gain_proxy": 0.7672179341316223, "observed_output_gain": 0.07399722933769226 } ], "confirmed": true }, "idea_sweep": { "0.001": { "mean": 0.00032572537929809187, "std": 6.515504960120716e-05 }, "0.003": { "mean": 0.0002240399771835655, "std": 3.985152266293653e-05 }, "0.005": { "mean": 0.00016176951703528175, "std": 2.54928932189329e-05 } } }, "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 1, "system_judged": true }