Correlation-Exponent-Safe Weight Initialization / report_bench_2026-09-01T212806.md

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

(универсальный)

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{ "worked": false, "confidence": 10, "verdict": "Built correlation-safe row-wise AR(1) initialization for the bench MLP and evaluated it against the same architecture and training loop. On the tabular benchmark, the tuned idea reached mean test MSE 13.2881 versus baseline 15.3926, but the paired permutation p-value was 0.07505, so this is a promising but non-significant improvement and does not qualify as a win. The trained-model mechanism signature was not confirmed: observed autocorrelation energy was 7.36 times the infinite-width AR prediction.", "metrics": { "baseline": "mean test MSE 15.392620921134949; per-seed [13.949790954589844,16.821916580200195,13.37869644165039,14.50743293762207,11.848803520202637,16.447656631469727,16.45771598815918,19.728954315185547]; best_cfg lr=0.006, rho=0.5, wd=0.0", "idea": "mean test MSE 13.288133263587952; per-seed [12.68891716003418,12.484254837036133,15.12032413482666,14.082161903381348,12.240248680114746,12.460922241210938,10.672504425048828,16.55573272705078]; best_cfg lr=0.006, rho=0.5, wd=0.0" }, "bench_report": { "bench_version": 1, "track": "tabular", "model": "mlp_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.006, "rho": 0.5, "wd": 0.0 }, "sweep": [ { "cfg": { "lr": 0.001, "rho": 0.5, "wd": 0.0 }, "mean": 130.23694229125977 }, { "cfg": { "lr": 0.001, "rho": 0.9, "wd": 0.0 }, "mean": 130.23694229125977 }, { "cfg": { "lr": 0.001, "rho": 0.99, "wd": 0.0 }, "mean": 130.23694229125977 }, { "cfg": { "lr": 0.003, "rho": 0.5, "wd": 0.0 }, "mean": 17.47633147239685 }, { "cfg": { "lr": 0.003, "rho": 0.9, "wd": 0.0 }, "mean": 17.47633147239685 }, { "cfg": { "lr": 0.003, "rho": 0.99, "wd": 0.0 }, "mean": 17.47633147239685 }, { "cfg": { "lr": 0.006, "rho": 0.5, "wd": 0.0 }, "mean": 14.664459228515625 }, { "cfg": { "lr": 0.006, "rho": 0.9, "wd": 0.0 }, "mean": 14.664459228515625 }, { "cfg": { "lr": 0.006, "rho": 0.99, "wd": 0.0 }, "mean": 14.664459228515625 } ], "full": { "mean": 15.392620921134949, "std": 2.3068932272646485, "per_seed": [ 13.949790954589844, 16.821916580200195, 13.37869644165039, 14.50743293762207, 11.848803520202637, 16.447656631469727, 16.45771598815918, 19.728954315185547 ], "n": 8 } }, "idea": { "mean": 13.288133263587952, "std": 1.7426182163392507, "per_seed": [ 12.68891716003418, 12.484254837036133, 15.12032413482666, 14.082161903381348, 12.240248680114746, 12.460922241210938, 10.672504425048828, 16.55573272705078 ], "n": 8 }, "comparison": { "delta_mean": -2.104487657546997, "idea_wins": 6, "n_pairs": 8, "per_seed_diffs": [ -1.260873794555664, -4.3376617431640625, 1.7416276931762695, -0.42527103424072266, 0.3914451599121094, -3.986734390258789, -5.785211563110352, -3.1732215881347656 ], "p_value": 0.07505, "mde": 2.1843941765217325, "mde_rel_pct": 14.191177627992088, "verdict": "no significant win", "system_worked": false }, "mechanism_signature": { "track_choice": "initialization intervention matches built-in tabular MLP track", "idea_grid": [ { "lr": 0.001, "rho": 0.5, "wd": 0.0 }, { "lr": 0.001, "rho": 0.9, "wd": 0.0 }, { "lr": 0.001, "rho": 0.99, "wd": 0.0 }, { "lr": 0.003, "rho": 0.5, "wd": 0.0 }, { "lr": 0.003, "rho": 0.9, "wd": 0.0 }, { "lr": 0.003, "rho": 0.99, "wd": 0.0 }, { "lr": 0.006, "rho": 0.5, "wd": 0.0 }, { "lr": 0.006, "rho": 0.9, "wd": 0.0 }, { "lr": 0.006, "rho": 0.99, "wd": 0.0 } ], "best_idea_cfg": { "lr": 0.006, "rho": 0.5, "wd": 0.0 }, "mechanism_signature": { "prediction": "trained row autocorrelation squared-energy is finite and near AR scale", "rho": 0.5, "predicted_infinite_m2": 0.3333333333333333, "observed_trained_m2_mean": 2.4519904585876326, "observed_to_predicted_ratio": 7.355971375762898, "confirmed": false } } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 stage2_bench.py", "files": [ "stage2_bench.py", "bench_report.json", "bench_run.log" ], "limitations": "Only the structurally matched built-in tabular track and mlp_tiny model were tested. The idea used AR(1) correlation values rho in {0.5,0.9,0.99}; truncated power-law covariance families, vision/CIFAR, sequence, dynamics, wider MLPs, and longer training were not tested. The mechanism signature used trained weights but showed substantial finite-training deviation from the analytic infinite-width AR energy.", "system_verdict": "failed", "practical_verdict": "inconclusive", "mechanism_ok": 0, "system_judged": true }