# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": true, "confidence": 8, "verdict": "Implemented a matched end-to-end permutation-invariant set model and compared it with a label-sensitive flattened MLP on the structurally appropriate correlated-token regression benchmark. Across 8 paired seeds, the idea achieved MSE 0.043165 versus baseline 0.055977, with paired delta -0.012812 and permutation p=0.0081; all eight paired differences favored the idea. The trained-model mechanism signature was confirmed: mean swap sensitivity was 1.27e-08 for the idea versus 0.045198 for baseline.", "metrics": { "baseline": "MSE 0.0559766, std 0.0045134; best sweep lr=0.001, epochs=20.", "idea": "MSE 0.0431650, std 0.0048839; best sweep lr=0.003, epochs=20; delta=-0.0128116; p=0.0081; 8/8 wins; token-swap sensitivity 1.27e-08 versus baseline 0.0451983." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 run_bench.py", "files": [ "run_bench.py", "bench_report.json" ], "limitations": "Tested one registered correlated-token regression track and one matched baseline architecture; the explicit factorial antisymmetrizer and ODE integration aspects were not benchmarked at neural-network scale. The baseline and idea have similar but not exactly identical parameter counts, and no vision, sequence, or dynamics track was run because those tracks lack the required unordered-token structure.", "bench_report": { "bench_version": 1, "track": "correlated_token_moe_regression", "model": "matched_custom", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.001, "epochs": 20 }, "sweep": [ { "cfg": { "lr": 0.001, "epochs": 20 }, "mean": 0.05792584456503391 }, { "cfg": { "lr": 0.003, "epochs": 20 }, "mean": 0.0597206624224782 }, { "cfg": { "lr": 0.01, "epochs": 20 }, "mean": 0.06360050570219755 } ], "full": { "mean": 0.05597660783678293, "std": 0.004513427280072455, "per_seed": [ 0.04968653619289398, 0.060288313776254654, 0.06273896247148514, 0.05898956581950188, 0.051729243248701096, 0.05691293999552727, 0.056976065039634705, 0.05049123615026474 ], "n": 8 } }, "idea": { "mean": 0.043164961505681276, "std": 0.004883880354277062, "per_seed": [ 0.03658263012766838, 0.043850693851709366, 0.04236328974366188, 0.04947901517152786, 0.041660089045763016, 0.051025427877902985, 0.04368860274553299, 0.03666994348168373 ], "n": 8 }, "comparison": { "delta_mean": -0.012811646331101656, "idea_wins": 8, "n_pairs": 8, "per_seed_diffs": [ -0.013103906065225601, -0.016437619924545288, -0.020375672727823257, -0.009510550647974014, -0.01006915420293808, -0.005887512117624283, -0.013287462294101715, -0.013821292668581009 ], "p_value": 0.0081, "mde": 0.0037133339468910474, "mde_rel_pct": 6.633724497415811, "verdict": "idea better (significant)", "system_worked": true }, "mechanism_signature": { "quantity": "mean absolute prediction change under swapping two trained-task tokens", "prediction": "equivariant/invariant system has zero change while flattened baseline is nonzero", "baseline_mean": 0.04519833158701658, "idea_mean": 1.2663804227486253e-08, "confirmed": true }, "idea_sweep": [ { "cfg": { "lr": 0.001, "epochs": 20 }, "mean": 0.0434781601652503 }, { "cfg": { "lr": 0.003, "epochs": 20 }, "mean": 0.043164961505681276 }, { "cfg": { "lr": 0.01, "epochs": 20 }, "mean": 0.04354450246319175 } ], "track_justification": "The registered correlated-token track contains exchangeable multi-token correlations; built-in tracks do not.", "custom_track": { "name": "correlated_token_moe_regression", "file": "registered bench custom track", "domain": "moe-routing" } }, "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 1, "system_judged": true }