# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": true, "confidence": 8, "verdict": "Built a structurally matched custom directed-path graph regression track and trained additive versus ordered matrix-product systems with identical encoder/readout capacity. Across 8 paired seeds, Path-Holonomy achieved lower test MSE (0.089526 vs 0.191343), with delta -0.101817 and paired permutation p=0.03805, satisfying the benchmark significant-win criterion. The trained-model mechanism signature was measured but not confirmed, so the conclusion rests on the independent task metric.", "metrics": { "baseline": "best cfg lr=0.01, epochs=35, width=48; 8-seed mean test MSE 0.191343, std 0.012652", "idea": "best cfg lr=0.01, epochs=35, width=48; 8-seed mean test MSE 0.089526, std 0.105722", "comparison": "delta_mean=-0.101817; idea wins 6/8; permutation p=0.03805", "mechanism_signature": "baseline RMSE 0.437195; idea RMSE 0.236979; trained-model reversal order sensitivity 0.368372; confirmed=false" }, "how_to_run": "/home/maxwelhelp/main/bin/python3 run_bench.py", "files": [ "holonomy_track.py", "run_bench.py", "bench_report.json" ], "limitations": "The built-in tracks were structurally mismatched, so the required local custom track was used. The task is synthetic rather than molecular or knowledge-graph data; throughput/FLOPs, cycle-consistency loss, learned reversal/color-switch maps, and broader orientation robustness were not tested. The mechanism signature threshold was not confirmed quantitatively.", "bench_report": { "bench_version": 1, "track": "directed_path_holonomy", "model": "matched_matrix_mlp", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01, "epochs": 35, "width": 48 }, "full": { "mean": 0.1913430094718933, "std": 0.01265175674434216, "n": 8, "per_seed": [ 0.21796821057796478, 0.18948782980442047, 0.18038326501846313, 0.17539961636066437, 0.2016671746969223, 0.19406883418560028, 0.18906868994235992, 0.18270045518875122 ] }, "sweep": [ { "cfg": { "lr": 0.001, "epochs": 35, "width": 48 }, "mean": 0.2922794222831726 }, { "cfg": { "lr": 0.003, "epochs": 35, "width": 48 }, "mean": 0.2332044392824173 }, { "cfg": { "lr": 0.01, "epochs": 35, "width": 48 }, "mean": 0.1908097304403782 } ] }, "idea": { "mean": 0.08952617183967959, "std": 0.10572229702516253, "n": 8, "per_seed": [ 0.07830779999494553, 0.0012882769806310534, 0.02554335445165634, 0.0027228575199842453, 0.2705438435077667, 0.26158156991004944, 0.07142530381679535, 0.004796368535608053 ] }, "idea_best_cfg": { "lr": 0.01, "epochs": 35, "width": 48 }, "idea_sweep": [ { "cfg": { "lr": 0.001, "epochs": 35, "width": 48 }, "mean": 0.33307167142629623 }, { "cfg": { "lr": 0.003, "epochs": 35, "width": 48 }, "mean": 0.1860583908855915 }, { "cfg": { "lr": 0.01, "epochs": 35, "width": 48 }, "mean": 0.02696557223680429 } ], "comparison": { "delta_mean": -0.10181683763221372, "idea_wins": 6, "n_pairs": 8, "per_seed_diffs": [ -0.13966041058301926, -0.18819955282378942, -0.1548399105668068, -0.17267675884068012, 0.06887666881084442, 0.06751273572444916, -0.11764338612556458, -0.17790408665314317 ], "mde": 0.08970938035328954, "mde_rel_pct": 46.88406469663429, "p_value": 0.03805, "verdict": "idea better (significant)", "system_worked": true }, "custom_track": { "name": "directed_path_holonomy", "file": "holonomy_track.py", "domain": "graph" }, "mechanism_signature": { "prediction": "ordered holonomy should retain order: reversal sensitivity exceeds additive baseline gap", "observed_mean": { "baseline_test_rmse": 0.4371945932507515, "idea_test_rmse": 0.2369789406657219, "order_sensitivity": 0.36837229039520025, "system_gap": 0.3969488888978958 }, "confirmed": false }, "notes": "Baseline and idea share the edge encoder and readout head; only additive aggregation versus ordered matrix multiplication differs." }, "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 0, "system_judged": true }