Permutation-Symmetric Quadratic Module / report_bench_2026-09-01T133647.md

Failed on benchmark

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

(универсальный)

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{ "worked": false, "confidence": 9, "verdict": "Implemented the permutation-symmetric quadratic module as a matched replacement for an exchangeable width-64 branch MLP on the tabular Friedman regression track. The cubic remainder scaling held quantitatively (slope 2.999 in the math check and 3.020 on a trained model), and Gram invariance held to numerical precision, but the task-level result was not significant: idea MSE 6.8195 versus baseline 6.8396, paired delta -0.0200 with permutation p=0.4109. Therefore the mechanism transferred, but no statistically reliable benchmark win was observed.", "metrics": { "baseline": "Friedman tabular test MSE: mean 6.839571, std 0.346865, 8 paired seeds; best sweep lr=0.01, weight_decay=0.0", "idea": "Quadratic Gram module Friedman tabular test MSE: mean 6.819535, std 0.370936, 8 paired seeds; best sweep lr=0.01, weight_decay=0.0; paired delta=-0.020036, 5/8 wins, permutation p=0.4109", "mechanism_signature": "Math remainder log-log slope 2.9993 vs predicted 3.0; trained-model slope 3.0196 vs predicted 3.0; trained-model permutation max error 1.91e-6; confirmed=true" }, "bench_report": { "bench_version": 1, "track": "tabular", "model": "custom_branch_mlp", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01, "weight_decay": 0.0 }, "sweep": [ { "cfg": { "lr": 0.001, "weight_decay": 0.0 }, "mean": 12.950589418411255 }, { "cfg": { "lr": 0.003, "weight_decay": 0.0 }, "mean": 6.888427972793579 }, { "cfg": { "lr": 0.01, "weight_decay": 0.0 }, "mean": 6.682573318481445 } ], "full": { "mean": 6.839571237564087, "std": 0.3468641081837492, "per_seed": [ 6.566773414611816, 6.700428485870361, 6.708205223083496, 6.754886150360107, 6.259535312652588, 7.132112979888916, 7.337502479553223, 7.2571258544921875 ], "n": 8 } }, "idea": { "best_cfg": { "lr": 0.01, "weight_decay": 0.0 }, "sweep": [ { "cfg": { "lr": 0.001, "weight_decay": 0.0 }, "mean": 13.624429821968079 }, { "cfg": { "lr": 0.003, "weight_decay": 0.0 }, "mean": 7.040245294570923 }, { "cfg": { "lr": 0.01, "weight_decay": 0.0 }, "mean": 6.819535434246063 } ], "per_seed": [ 6.49015998840332, 6.686732769012451, 6.5792107582092285, 6.80715799331665, 6.233836650848389, 7.175884246826172, 7.312864780426025, 7.2704362869262695 ], "mean": 6.819535434246063, "std": 0.3709357840355057, "n": 8 }, "comparison": { "delta_mean": -0.02003580331802368, "idea_wins": 5, "n_pairs": 8, "per_seed_diffs": [ -0.0766134262084961, -0.013695716857910156, -0.12899446487426758, 0.05227184295654297, -0.02569866180419922, 0.04377126693725586, -0.024637699127197266, 0.013310432434082031 ], "p_value": 0.4109, "mde": 0.05054426158733883, "mde_rel_pct": 0.7389975165364338, "verdict": "no measurable effect", "system_worked": false }, "mechanism_signature": { "math_check": { "observed_remainder_slope": 2.9993339395602745, "predicted_remainder_slope": 3.0, "gram_invariance_max_error": 5.1514348342607263e-14, "prediction_pass": true }, "trained_model": { "observed_remainder_slope": 3.0196060096593453, "predicted_remainder_slope": 3.0, "permutation_max_error": 1.9073486328125e-06, "confirmed": true } } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_quadratic.py", "files": [ "bench_quadratic.py", "bench_report.json" ], "limitations": "Only the structurally matched tabular track was tested; vision, sequence, and dynamics were not relevant to this branch-aggregation structure and were not run. The benchmark used 800 training and 400 test examples rather than larger defaults, and measured task MSE but not FLOPs or peak memory. The baseline sweep used four seeds, while the selected baseline and idea were evaluated on eight paired seeds.", "system_verdict": "failed", "practical_verdict": "no_effect", "mechanism_ok": 0, "system_judged": true }