# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": false, "confidence": 10, "verdict": "Built and evaluated TD-to-PDE continuation on the registered poisson_boundary PDE track using a shared smooth MLP. Baseline test MSE was 0.0197138, while the best continuation setting achieved 0.0868471; paired delta was +0.0671333 with permutation p=0.0081, so the idea was significantly worse. The trained-model mechanism signature was also not confirmed because PDE residual increased from 0.0057077 early to 0.7555173 late.", "metrics": { "baseline": "poisson_boundary, smooth_mlp_shared, tuned lr=0.01; 8-seed mean test MSE 0.019713770831003785", "idea": "poisson_boundary, smooth_mlp_shared, continuation lr=0.003 and PDE weight 1.0; 8-seed mean test MSE 0.0868471022695303" }, "bench_report": { "bench_version": 1, "track": "poisson_boundary", "model": "smooth_mlp_shared", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.09443562291562557 }, { "cfg": { "lr": 0.003 }, "mean": 0.026866592932492495 }, { "cfg": { "lr": 0.01 }, "mean": 0.021620961604639888 } ], "best_cfg": { "lr": 0.01 }, "full": { "config": { "lr": 0.01, "pde_weight": 0.0 }, "per_seed": [ 0.027827076613903046, 0.013140390627086163, 0.02447698265314102, 0.02103939652442932, 0.019167248159646988, 0.018314614295959472, 0.017920590192079543, 0.017704755663871766 ], "mean": 0.019713770831003785, "std": 0.004566942238936102 } }, "idea": { "config": { "lr": 0.003, "pde_weight": 1.0 }, "per_seed": [ 0.10768520832061768, 0.07102982699871063, 0.07831890136003494, 0.08951634913682938, 0.08078285306692123, 0.07756161689758301, 0.10001540929079056, 0.08986665308475494 ], "mean": 0.0868471022695303, "std": 0.011563873184926184 }, "comparison": { "delta_mean": 0.06713333143852651, "idea_wins": 0, "n_pairs": 8, "per_seed_diffs": [ 0.07985813170671463, 0.05788943637162447, 0.05384191870689392, 0.06847695261240005, 0.061615604907274246, 0.06332949828356504, 0.08203655108809471, 0.07001855783164501 ], "p_value": 0.0081, "mde": 0.008368594524021243, "mde_rel_pct": 42.45050120426469, "verdict": "idea worse (significant)", "system_worked": false }, "mechanism_signature": { "prediction": "predictive loss stabilizes before strong PDE reduction", "early_predictive_loss": 0.1310851002732913, "late_predictive_loss": 0.09046961230171077, "early_pde_residual": 0.005707668307877611, "late_pde_residual": 0.7555173069182167, "confirmed": false, "math_check_max_abs_laplacian": 0.0 }, "custom_track": { "name": "poisson_boundary", "file": "/home/maxwelhelp/all/math2nn/bench/custom_tracks/poisson_boundary.py", "domain": "pde" } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 run_bench.py", "files": [ "poisson_track.py", "run_bench.py", "bench_report.json" ], "limitations": "Only the registered poisson_boundary PDE track and one shared smooth MLP architecture were tested. Genuine stochastic TD transitions, actor-critic training, action maximization, alternative PDE weights beyond the tested continuation sweep, and larger models were not evaluated.", "system_verdict": "failed", "practical_verdict": "harms", "mechanism_ok": 0, "system_judged": true }