Стенд-проверка (stage-2) · промт оператора:

(универсальный)

Ответ агента:

{ "worked": true, "confidence": 8, "verdict": "Implemented Floquet-inspired periodic learning-rate modulation for the structurally matched pendulum dynamics task using the shared rnn_small architecture and identical AdamW training budget. Across 8 paired seeds, the idea reduced test MSE from 0.00068544 to 0.00062952, with mean delta -0.00005592 and permutation p=0.0443, meeting the benchmark's significant-win criterion. The NN-scale local input-Jacobian signature also decreased by 0.29% (0.40341 to 0.40225), confirming the predicted direction but not a strong Floquet effect.", "metrics": { "baseline": "Best AdamW constant learning rate lr=0.006; 8-seed test MSE mean 0.0006854403, std 0.0001942017", "idea": "Sinusoidal learning-rate modulation amplitude 0.15, period 8 steps, lr=0.006; 8-seed test MSE mean 0.0006295234, std 0.0001478583", "delta_mean": "-0.0000559168 (idea lower/better), 6/8 paired wins", "permutation_p_value": "0.0443", "relative_improvement": "8.16% versus baseline mean", "math_sanity": "Damping-shift prediction observed 1.2500000000000004 versus predicted 1.25; absolute error 4.44e-16", "mechanism_signature": "Trained-model local input Jacobian norm: baseline 0.4034102, idea 0.4022463, relative change -0.2885%, confirmed=true" }, "how_to_run": "/home/maxwelhelp/main/bin/python3 floquet_bench.py", "files": [ "floquet_bench.py", "bench_report.json" ], "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": 0.0019389573426451534 }, { "cfg": { "lr": 0.003 }, "mean": 0.000923123603570275 }, { "cfg": { "lr": 0.006 }, "mean": 0.0006749839230906218 } ], "full": { "mean": 0.0006854402672615834, "std": 0.00019420169122248883, "per_seed": [ 0.0006784203578718007, 0.0006286462303251028, 0.0005217542639002204, 0.0008711148402653635, 0.0005711782141588628, 0.000547860749065876, 0.0005476096412166953, 0.0011169378412887454 ], "n": 8 } }, "idea": { "mean": 0.0006295234306890052, "std": 0.0001478583427936034, "per_seed": [ 0.0006697725621052086, 0.0006321860128082335, 0.000446179648861289, 0.0007750660297460854, 0.0005767291877418756, 0.00047575801727361977, 0.0005408408469520509, 0.0009196551400236785 ], "n": 8 }, "comparison": { "delta_mean": -5.591683657257818e-05, "idea_wins": 6, "n_pairs": 8, "per_seed_diffs": [ -8.647795766592026e-06, 3.5397824831306934e-06, -7.557461503893137e-05, -9.604881051927805e-05, 5.550973583012819e-06, -7.210273179225624e-05, -6.768794264644384e-06, -0.00019728270126506686 ], "p_value": 0.0443, "mde": 5.845099158159299e-05, "mde_rel_pct": 8.527510619577656, "verdict": "idea better (significant)", "system_worked": true }, "mechanism_signature": { "math_sanity": { "predicted_damping_shift": 1.25, "observed_shift": 1.2500000000000004, "abs_error": 4.440892098500626e-16, "passed": true }, "trained_jacobian": { "quantity": "trained-model local input Jacobian norm", "predicted": "periodic modulation reduces perturbation growth", "baseline_mean": 0.4034101516008377, "idea_mean": 0.40224631130695343, "relative_change": -0.0028850049738853934, "confirmed": true }, "idea_cfg": { "lr": 0.006 }, "idea_sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.0019525550596881658 }, { "cfg": { "lr": 0.003 }, "mean": 0.000914391697733663 }, { "cfg": { "lr": 0.006 }, "mean": 0.0006308010633802041 } ] }, "selection_note": "Baseline and idea share rnn_small, data, epochs, batch, AdamW weight decay, and union learning-rate grid; only periodic LR modulation differs." }, "limitations": "Only the built-in dynamics pendulum track and rnn_small model were tested; no vision, tabular, or sequence transfer was evaluated. The implementation modulates learning rate rather than directly modulating noncommuting network Jacobians, and the NN signature uses a local input-Jacobian norm rather than a full period parameter-space Floquet propagator. The significant p-value is just below 0.05 with 8 seeds, so independent replication and broader period/amplitude sweeps are needed.", "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 0, "system_judged": true }