Regularity-Matched Random Fourier Layer / report_bench_2026-09-04T151810.md

Mechanism confirmed, baseline not beaten

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

(универсальный)

Ответ агента:

{ "worked": false, "confidence": 9, "verdict": "Implemented and ran the full stage-2 protocol on the registered built-in tabular track with paired Gaussian-RFF baseline and Gevrey-matched whitened RFF idea using the same MLP system. The idea improved mean test MSE by 0.4313, but the paired permutation p-value was 0.4471, so there was no significant win. The trained-model mechanism signature was quantitatively confirmed, although the effect did not yield a reliable task-metric improvement.", "metrics": { "baseline": "Best Gaussian-RFF configuration lr=0.003; mean MSE 26.428078.", "idea": "Best Gevrey-matched whitened RFF configuration lr=0.003, kappa=0.5; mean MSE 25.996743.", "delta_mean": -0.4313347339630127, "p_value": 0.4471, "idea_wins": 5, "n_pairs": 8 }, "bench_report": { "bench_version": 1, "track": "tabular", "model": "mlp_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.003 }, "sweep": [ { "cfg": { "lr": 0.0015 }, "mean": 86.18153095245361 }, { "cfg": { "lr": 0.003 }, "mean": 26.428078174591064 }, { "cfg": { "lr": 0.006 }, "mean": 28.919513702392578 } ], "full": { "per_seed": [ 25.895511627197266, 23.76729393005371, 31.936946868896484, 22.32597541809082, 26.472503662109375, 27.149736404418945, 25.630550384521484, 28.24610710144043 ], "mean": 26.428078174591064, "std": 2.7157486357075706 } }, "idea": { "cfg": { "lr": 0.003, "kappa": 0.5 }, "sweep": [ { "cfg": { "lr": 0.0015, "kappa": 0.5 }, "mean": 89.22317123413086, "per_seed": [ 98.93083953857422, 79.5595474243164, 112.91259765625, 73.03987121582031, 98.56941223144531, 93.0411148071289, 71.11729431152344, 86.61469268798828 ] }, { "cfg": { "lr": 0.003, "kappa": 0.5 }, "mean": 25.99674344062805, "per_seed": [ 28.224853515625, 22.147993087768555, 29.366596221923828, 23.47258758544922, 26.70428466796875, 27.07363510131836, 24.43505096435547, 26.548946380615234 ] }, { "cfg": { "lr": 0.006, "kappa": 0.5 }, "mean": 29.730857133865356, "per_seed": [ 35.66669845581055, 22.87786102294922, 30.74677085876465, 26.302228927612305, 32.72633361816406, 31.00384521484375, 29.44414520263672, 29.0789737701416 ] } ], "per_seed": [ 28.224853515625, 22.147993087768555, 29.366596221923828, 23.47258758544922, 26.70428466796875, 27.07363510131836, 24.43505096435547, 26.548946380615234 ], "mean": 25.99674344062805, "std": 2.2887973383528157 }, "comparison": { "delta_mean": -0.4313347339630127, "idea_wins": 5, "n_pairs": 8, "per_seed_diffs": [ 2.3293418884277344, -1.6193008422851562, -2.5703506469726562, 1.1466121673583984, 0.231781005859375, -0.07610130310058594, -1.1954994201660156, -1.6971607208251953 ], "p_value": 0.4471, "mde": 1.372125195718692, "mde_rel_pct": 5.191921965169242, "verdict": "no significant win", "system_worked": false }, "protocol": "8 paired seeds; baseline and idea share frozen-RFF+MLP architecture; baseline and idea learning-rate unions are identical", "mechanism_signature": { "prediction": "in standardized d=10 inputs, the matched exponential radial law predicts larger mean frequency radius and larger input sensitivity than Gaussian RFF", "predicted_radius_gap": 6.83772233983162, "observed_radius_gap": 6.904401510953903, "predicted_sensitivity_gap": 6.83772233983162, "observed_sensitivity_gap": 6.628487139940262, "baseline_radius_mean": 3.121435910463333, "idea_radius_mean": 10.025837421417236, "baseline_sensitivity_mean": 3.6478576362133026, "idea_sensitivity_mean": 10.276344776153564, "confirmed": true } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_rff.py", "files": [ "bench_rff.py", "bench_report.json" ], "limitations": "Only the structurally appropriate registered tabular track was tested. Vision, sequence, dynamics, PDE/custom tracks, larger feature counts, alternative Sobolev or ultra-analytic distributions, and unwhitened variants were not tested.", "system_verdict": "partial", "practical_verdict": "inconclusive", "mechanism_ok": 1, "system_judged": true }