Legendre Feasibility Layer / report_bench_2026-08-31T091947.md

Mechanism confirmed, baseline not beaten

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

(универсальный)

Ответ агента:

{ "worked": false, "confidence": 10, "verdict": "Implemented and benchmarked the Legendre feasibility head on the registered directional_polytope track using identical end-to-end mlp_tiny systems. The mechanism signature was quantitatively confirmed with maximum relative Jacobian error 1.46e-7, but the idea was significantly worse than the tuned baseline: test MSE 0.0012857 versus 0.0010100, paired delta +0.0002757, permutation p=0.0081. The feasibility mechanism works mathematically, but it did not transfer to a task-metric win under this protocol.", "metrics": { "baseline": "directional_polytope / mlp_tiny; tuned lr=0.03, penalty=0.0; 8-seed test MSE mean 0.0010100425 ± 0.0001477102", "idea": "Legendre box barrier; lr=0.03, eps=0.2; 8-seed test MSE mean 0.0012857039 ± 0.0000905600; paired delta +0.0002756614; permutation p=0.0081; significantly worse" }, "bench_report": { "bench_version": 1, "track": "directional_polytope", "model": "mlp_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.03, "penalty": 0.0 }, "sweep": [ { "cfg": { "lr": 0.003, "penalty": 0.0 }, "mean": 0.0043861757148988545 }, { "cfg": { "lr": 0.003, "penalty": 1.0 }, "mean": 0.00439288467168808 }, { "cfg": { "lr": 0.003, "penalty": 10.0 }, "mean": 0.004514919011853635 }, { "cfg": { "lr": 0.01, "penalty": 0.0 }, "mean": 0.001629675563890487 }, { "cfg": { "lr": 0.01, "penalty": 1.0 }, "mean": 0.0016628731682430953 }, { "cfg": { "lr": 0.01, "penalty": 10.0 }, "mean": 0.001958355976967141 }, { "cfg": { "lr": 0.03, "penalty": 0.0 }, "mean": 0.0009300831443397328 }, { "cfg": { "lr": 0.03, "penalty": 1.0 }, "mean": 0.0009807027818169445 }, { "cfg": { "lr": 0.03, "penalty": 10.0 }, "mean": 0.004855888721067458 } ], "full": { "mean": 0.0010100424842676148, "std": 0.0001477102326352443, "per_seed": [ 0.0009797323727980256, 0.0010062798392027617, 0.0009645665995776653, 0.0007697537657804787, 0.001155781908892095, 0.0010888965334743261, 0.0008554105297662318, 0.001259918324649334 ], "n": 8 } }, "idea": { "best_cfg": { "lr": 0.03, "eps": 0.2 }, "sweep": [ { "cfg": { "lr": 0.03, "eps": 0.05 }, "mean": 0.007740114291664213 }, { "cfg": { "lr": 0.03, "eps": 0.1 }, "mean": 0.0024592391564510763 }, { "cfg": { "lr": 0.03, "eps": 0.2 }, "mean": 0.001296577713219449 } ], "full": { "mean": 0.001285703867324628, "std": 9.055997386539207e-05, "per_seed": [ 0.0013685496523976326, 0.001279718242585659, 0.0012515878770500422, 0.001286455080844462, 0.0013379424344748259, 0.0014056611107662324, 0.0010852159466594458, 0.0012705005938187242 ], "n": 8 } }, "comparison": { "delta_mean": 0.00027566138305701315, "idea_wins": 0, "n_pairs": 8, "per_seed_diffs": [ 0.000388817279599607, 0.0002734384033828974, 0.0002870212774723768, 0.0005167013150639832, 0.00018216052558273077, 0.0003167645772919059, 0.000229805416893214, 1.05822691693902e-05 ], "p_value": 0.0081, "mde": 0.00012395723646933067, "mde_rel_pct": 12.272477484866636, "verdict": "idea worse (significant)", "system_worked": false }, "mechanism_signature": { "quantity": "diagonal Jacobian of the trained feasibility head", "predicted_mean_abs": 2.8536648750305176, "observed_mean_abs": 2.853664852678776, "max_relative_error": 1.4644062872233774e-07, "confirmed": true }, "runtime_seconds": 35.400410652160645, "protocol_note": "Registered directional_polytope track; same mlp_tiny architecture and end-to-end trained systems; box log-barrier feasibility layer." }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_legendre.py", "files": [ "bench_legendre.py", "bench_report.json" ], "limitations": "The benchmark used the registered directional_polytope geometry track and a box specialization of the polytope barrier rather than the full equality-constrained simplex-plus-capacity formulation. It did not test vision, sequence, dynamics, Euclidean projection, or a custom newly registered track.", "system_verdict": "partial", "practical_verdict": "harms", "mechanism_ok": 1, "system_judged": true }