# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": true, "confidence": 7, "verdict": "The registered custom graph-landmark forecasting track was evaluated with identical transformer systems, differing only by the addition of greedy resolving-landmark signatures. The idea achieved lower test MSE on all 8 paired seeds: 0.066688 versus the tuned baseline 0.097288, paired delta -0.030600, permutation p=0.0081. The trained-model mechanism check observed zero idea signature collisions versus 19 baseline collisions, below the independently computed hypergeometric upper bound of 114.", "metrics": { "baseline": "make_report baseline block: best_cfg lr=0.003; sweep means lr=0.001: 0.0976012, lr=0.003: 0.0971596, lr=0.01: 0.0978763; full 8-seed mean=0.0972881, std=0.0028138.", "idea": "Best idea config lr=0.01; per-seed test MSE=[0.0671466,0.0738764,0.0655859,0.0592485,0.0516633,0.0640472,0.0735524,0.0783868], mean=0.0666884, std=0.0081020.", "comparison": "delta_mean=-0.0305997, idea_wins=8, n_pairs=8, p_value=0.0081, verdict='idea better (significant)', system_worked=true" }, "bench_report": { "bench_version": 1, "track": "graph_landmark_forecast", "model": "transformer_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.003 }, "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.09760121069848537 }, { "cfg": { "lr": 0.003 }, "mean": 0.09715960919857025 }, { "cfg": { "lr": 0.01 }, "mean": 0.09787633270025253 } ], "full": { "mean": 0.09728806372731924, "std": 0.0028138072522287676, "per_seed": [ 0.0970306470990181, 0.09655177593231201, 0.09898804873228073, 0.09606796503067017, 0.10214304178953171, 0.09961570054292679, 0.09206581115722656, 0.09584151953458786 ], "n": 8 }, "full_grid": [ { "cfg": { "lr": 0.001 }, "result": { "mean": 0.09813422616571188, "std": 0.003308826432344093, "per_seed": [ 0.09822424501180649, 0.09727376699447632, 0.0995187908411026, 0.09538803994655609, 0.10483681410551071, 0.10019651055335999, 0.09305645525455475, 0.0965791866183281 ], "n": 8 } }, { "cfg": { "lr": 0.003 }, "result": { "mean": 0.09728806372731924, "std": 0.0028138072522287676, "per_seed": [ 0.0970306470990181, 0.09655177593231201, 0.09898804873228073, 0.09606796503067017, 0.10214304178953171, 0.09961570054292679, 0.09206581115722656, 0.09584151953458786 ], "n": 8 } }, { "cfg": { "lr": 0.01 }, "result": { "mean": 0.09821864496916533, "std": 0.002263958786368283, "per_seed": [ 0.09782364219427109, 0.09844150394201279, 0.09902690351009369, 0.09621328115463257, 0.10131707042455673, 0.10156738013029099, 0.09458042681217194, 0.09677895158529282 ], "n": 8 } } ] }, "idea": { "mean": 0.06668837741017342, "std": 0.00810202264282473, "per_seed": [ 0.06714659929275513, 0.07387638092041016, 0.06558588147163391, 0.059248507022857666, 0.05166328698396683, 0.06404716521501541, 0.07355235517024994, 0.07838684320449829 ], "n": 8 }, "comparison": { "delta_mean": -0.030599686317145824, "idea_wins": 8, "n_pairs": 8, "per_seed_diffs": [ -0.02988404780626297, -0.022675395011901855, -0.03340216726064682, -0.0368194580078125, -0.05047975480556488, -0.03556853532791138, -0.018513455986976624, -0.01745467633008957 ], "p_value": 0.0081, "mde": 0.00920648763417379, "mde_rel_pct": 9.463121457507778, "verdict": "idea better (significant)", "system_worked": true }, "custom_track": { "name": "graph_landmark_forecast", "file": "graph_landmark_track.py", "domain": "graph-nn" }, "mechanism_signature": { "prediction": "expected collisions are bounded by the hypergeometric union bound", "c_min": 1, "s": 8, "predicted_collision_upper_bound": 114.0, "observed_idea_collision_count": 0.0, "baseline_collision_count": 19.0, "confirmed": true } }, "how_to_run": "cd /home/maxwelhelp/all/math2nn/experiments/exp421_resolving-landmark-bottleneck && /home/maxwelhelp/main/bin/python3 stage2_bench.py", "files": [ "graph_landmark_track.py", "stage2_bench.py", "bench_report.json", "bench_stdout.txt", "bench_stdout_registered.txt" ], "limitations": "The registered custom task is small: a fixed 20-node graph with 400 training and 200 test examples. Large-graph memory, preprocessing, and throughput scaling were not measured. The baseline is a matched transformer with zero structural channels rather than a production full Graphormer adjacency-attention implementation, so the significant MSE win supports the feature mechanism on this graph task but does not by itself establish the claimed O(n^2) to O(ns) systems-level memory reduction. The mechanism bound is loose because c_min=1.", "system_verdict": "worked", "practical_verdict": "helps", "mechanism_ok": 1, "system_judged": true }