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

(универсальный)

Ответ агента:

{ "worked": true, "confidence": 8, "verdict": "The registered tetrahedral PDE track was benchmarked with identical MLP systems, matched training budgets, a shared three-point learning-rate grid, and 8 paired seeds. The exact-complex projection achieved lower test MSE on every seed: 0.000175605 versus 0.0329221 for the tuned baseline, paired delta -0.0327465 and permutation p=0.0081. The mechanism signature also confirmed exact algebraic cancellation and near-zero trained-model response to compatible fields, though this remains a small synthetic two-tetrahedron demonstration rather than a full finite-element elasticity benchmark.", "metrics": { "baseline": "Tuned lr=0.01; 8-seed test MSE mean 0.0329221145, std 0.0152480952.", "idea": "Tuned lr=0.01; 8-seed test MSE mean 0.0001756050, std 0.0000313208; idea wins 8/8; paired delta -0.0327465095; permutation p=0.0081." }, "bench_report": { "bench_version": 1, "track": "tetra_elasticity_complex", "model": "mlp_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01 }, "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.07423547469079494 }, { "cfg": { "lr": 0.003 }, "mean": 0.05538587085902691 }, { "cfg": { "lr": 0.01 }, "mean": 0.03730668965727091 } ], "full": { "mean": 0.03292211447842419, "std": 0.015248095167711763, "per_seed": [ 0.07105375826358795, 0.01817469112575054, 0.02902773581445217, 0.03097057342529297, 0.03421689197421074, 0.03229296952486038, 0.022874649614095688, 0.02476564608514309 ], "n": 8 } }, "idea": { "mean": 0.00017560497508384287, "std": 3.132081213307311e-05, "per_seed": [ 0.0002102894795825705, 0.00019068221445195377, 0.0001296501577598974, 0.00014417424972634763, 0.00018806532898452133, 0.00015338916273321956, 0.00016290618805214763, 0.00022568301938008517 ], "n": 8 }, "comparison": { "delta_mean": -0.03274650950334035, "idea_wins": 8, "n_pairs": 8, "per_seed_diffs": [ -0.07084346878400538, -0.017984008911298588, -0.028898085656692274, -0.03082639917556662, -0.03402882664522622, -0.03213958036212716, -0.02271174342604354, -0.024539963065763004 ], "p_value": 0.0081, "mde": 0.01362209922034768, "mde_rel_pct": 41.37674458690995, "verdict": "idea better (significant)", "system_worked": true }, "custom_track": { "name": "tetra_elasticity_complex", "file": "tetra_elasticity_complex.py", "domain": "pde" }, "algebra_sanity": { "relative_D1D0": 0.0, "relative_D2D1": 0.0, "compatible_leak_exact_mean": 3.8892531210562334e-08, "compatible_leak_unconstrained_mean": 2.4047226575300518 }, "idea_sweep": [ { "cfg": { "lr": 0.001 }, "result": { "mean": 0.00052592100109905, "std": 0.00016566725843712322, "per_seed": [ 0.000746735546272248, 0.0003983649949077517, 0.000376748270355165, 0.0003486424102447927, 0.0003762074338737875, 0.0005649435915984213, 0.0006035485421307385, 0.0007921772194094956 ], "n": 8 } }, { "cfg": { "lr": 0.003 }, "result": { "mean": 0.00027460784986033104, "std": 5.294601664377139e-05, "per_seed": [ 0.00034460300230421126, 0.00029504692065529525, 0.00018341776740271598, 0.0002037393132923171, 0.0002621814201120287, 0.0002868972660508007, 0.0002893827622756362, 0.00033159434678964317 ], "n": 8 } }, { "cfg": { "lr": 0.01 }, "result": { "mean": 0.00017560497508384287, "std": 3.132081213307311e-05, "per_seed": [ 0.0002102894795825705, 0.00019068221445195377, 0.0001296501577598974, 0.00014417424972634763, 0.00018806532898452133, 0.00015338916273321956, 0.00016290618805214763, 0.00022568301938008517 ], "n": 8 } } ], "mechanism_signature": { "compatible_pred_abs_mean": 0.000795240506704431, "observed_compatible_leakage": 3.8892531210562334e-08, "unconstrained_observed_leakage": 2.4047226575300518, "test_pred_observed_corr": 0.9987984258197132, "test_pred_mean": 0.31432949006557465, "test_observed_mean": 0.31512635573744774, "confirmed": true }, "protocol": { "epochs": 35, "batch": 128, "grid": [ { "lr": 0.001 }, { "lr": 0.003 }, { "lr": 0.01 } ], "paired_seeds": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "structural_match": "PDE simplicial complex" } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 run_bench.py", "files": [ "tetra_elasticity_complex.py", "run_bench.py", "bench_report.json" ], "limitations": "The benchmark is a small synthetic two-tetrahedron PDE-style regression task, not a full 3-D elasticity finite-element discretization, physical elasticity dataset, MeshGraphNet, remeshing, cross-resolution generalization, sparse-operator scaling, or long-horizon rollout study.", "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 1, "system_judged": true }