Cohomological Jacobian Flattening / report_bench_2026-08-31T221417.md

Mechanism confirmed, baseline not beaten

Raw ⬇ ZIP

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

(универсальный)

Ответ агента:

{ "worked": false, "confidence": 9, "verdict": "The cohomological Jacobian regularizer was implemented for the matched dynamics track using identical rnn_small systems. It reduced mean test MSE from 0.000567374 to 0.000338297 and won 7/8 paired seeds, but the permutation test was not significant (p=0.07245), so the required significant-win criterion was not met. The trained-model mechanism signature showed bounded residual-per-step variability across horizons 1, 4, and 8.", "metrics": { "baseline": "mean test MSE 0.000567374, std 0.000162821", "idea": "mean test MSE 0.000338297, std 0.000280730", "delta_mean": -0.00022907725997356465, "paired_wins": "7/8", "permutation_p_value": 0.07245 }, "how_to_run": "/home/maxwelhelp/main/bin/python3 stage2_coh_bench.py", "files": [ "stage2_coh_bench.py", "bench_report.json" ], "limitations": "Only the built-in dynamics track was tested. Longer rollout horizons, gradient norms, FLOP accounting, and an independent second task were not tested. The Jacobian term uses a selected-coordinate proxy rather than a full unstable-subspace determinant.", "bench_report": { "bench_version": 1, "track": "dynamics", "model": "rnn_small", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01, "lam": 0.01, "epochs": 10 }, "full": { "mean": 0.0005673739506164566, "std": 0.00016282064525448582, "per_seed": [ 0.00044074832112528384, 0.0007072906009852886, 0.0003835938696283847, 0.0008862565737217665, 0.00040746666491031647, 0.00047172914491966367, 0.0006375783705152571, 0.0006043280591256917 ], "n": 8 } }, "idea": { "cfg": { "lr": 0.01, "lam": 0.01, "epochs": 10 }, "mean": 0.0003382966906428919, "std": 0.0002807304207947017, "per_seed": [ 0.00012169728142907843, 0.0010539937065914273, 0.00020155370293650776, 0.00022586695558857173, 0.00014386164548341185, 0.0003415524843148887, 0.000293777440674603, 0.00032407030812464654 ], "n": 8 }, "comparison": { "delta_mean": -0.00022907725997356465, "idea_wins": 7, "n_pairs": 8, "p_value": 0.07245, "verdict": "no significant win", "system_worked": false }, "mechanism_signature": { "prediction": "finite-horizon residual per step remains bounded rather than accumulating linearly", "observed_std_R_over_k": { "k1": 0.05008017644286156, "k4": 0.05144515261054039, "k8": 0.05219043791294098 }, "confirmed": true } }, "system_verdict": "partial", "practical_verdict": "inconclusive", "mechanism_ok": 1, "system_judged": true }