Proximal Spherical Cubic Step / report_bench_2026-08-31T165804.md

Mechanism confirmed, baseline not beaten

Raw ⬇ ZIP

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

(универсальный)

Ответ агента:

{ "worked": false, "confidence": 9, "verdict": "The Proximal Spherical Cubic Step was implemented as a final-layer training intervention on the registered tabular Friedman#1 benchmark with shared mlp_tiny architecture and matched baseline/idea hyperparameter grids. It improved mean test MSE from 13.129557 to 12.885437, but the paired permutation test was not significant (p=0.6102), so this is not a demonstrated win. The model-scale mechanism signature was confirmed with observed/predicted decrease ratio 0.9262.", "metrics": { "baseline": "AdamW, best cfg {lr:0.006, weight_decay:0.0}; mean test MSE 13.1295574903, std 1.5250596544.", "idea": "Proximal spherical cubic final-layer update plus AdamW elsewhere, best cfg {lr:0.006, weight_decay:0.0}; mean test MSE 12.8854370117, std 1.4828934326; paired delta -0.2441204786; 5/8 wins; p=0.6102." }, "bench_report": { "bench_version": 1, "track": "tabular", "model": "mlp_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.006, "weight_decay": 0.0 }, "sweep": [ { "cfg": { "lr": 0.0015, "weight_decay": 0.0 }, "mean": 20.46571445465088 }, { "cfg": { "lr": 0.003, "weight_decay": 0.0 }, "mean": 16.009180068969727 }, { "cfg": { "lr": 0.006, "weight_decay": 0.0 }, "mean": 13.129557490348816 }, { "cfg": { "lr": 0.003, "weight_decay": 0.0001 }, "mean": 15.930055141448975 } ], "full": { "mean": 13.129557490348816, "std": 1.5250596544234398, "per_seed": [ 13.93191909790039, 13.616814613342285, 10.975268363952637, 13.225879669189453, 10.728046417236328, 12.577923774719238, 14.791933059692383, 15.188674926757812 ], "n": 8 } }, "idea": { "best_cfg": { "lr": 0.006, "weight_decay": 0.0 }, "mean": 12.88543701171875, "std": 1.4828934325502452, "per_seed": [ 13.835183143615723, 11.309344291687012, 12.560839653015137, 12.500975608825684, 10.138545989990234, 13.836167335510254, 14.998884201049805, 13.903555870056152 ], "n": 8, "sweep": [ { "cfg": { "lr": 0.0015, "weight_decay": 0.0 }, "mean": 19.026683568954468 }, { "cfg": { "lr": 0.003, "weight_decay": 0.0 }, "mean": 15.578837275505066 }, { "cfg": { "lr": 0.006, "weight_decay": 0.0 }, "mean": 12.88543701171875 }, { "cfg": { "lr": 0.003, "weight_decay": 0.0001 }, "mean": 15.578837275505066 } ] }, "comparison": { "delta_mean": -0.24412047863006592, "idea_wins": 5, "n_pairs": 8, "per_seed_diffs": [ -0.09673595428466797, -2.3074703216552734, 1.5855712890625, -0.7249040603637695, -0.5895004272460938, 1.2582435607910156, 0.20695114135742188, -1.2851190567016602 ], "p_value": 0.6102, "mde": 1.0727371153900689, "mde_rel_pct": 8.170398097411958, "verdict": "no significant win", "system_worked": false }, "mechanism_signature": { "mechanism_signature": { "predicted_decrease_mean": 1.4363646628793159, "observed_decrease_mean": 1.3285859570519265, "observed_to_predicted_ratio": 0.9261847601497202, "accepted_steps_mean": 32.875, "rejected_steps_mean": 27.125, "confirmed": true }, "protocol": { "paired_seeds": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "epochs": 15, "train_samples": 400, "test_samples": 200, "grid": [ { "lr": 0.0015, "weight_decay": 0.0 }, { "lr": 0.003, "weight_decay": 0.0 }, { "lr": 0.006, "weight_decay": 0.0 }, { "lr": 0.003, "weight_decay": 0.0001 } ] } } }, "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_experiment.py", "files": [ "bench_experiment.py", "bench_report.json", "run_output.json" ], "limitations": "Only the registered tabular track was tested; vision, sequence, and dynamics were not tested. The intervention uses a final-layer diagonal-curvature proxy and zero explicit third-derivative block rather than full Hessian-vector and third-order autodiff. Large-scale models, matched wall-clock/FLOP accounting, and longer training were not tested.", "system_verdict": "failed", "practical_verdict": "inconclusive", "mechanism_ok": 0, "system_judged": true }