# Стенд-проверка (stage-2) · промт оператора: (универсальный) Ответ агента: { "worked": false, "confidence": 9, "verdict": "Implemented First-Spike Laplacian attention as an end-to-end replacement for scaled dot-product attention in the structurally matched sequence forecasting track, using identical transformer projections, feed-forward blocks, optimizer, epochs, and batch size. Across 8 paired seeds, the idea had higher MSE (0.3292590510 vs 0.3237519413; paired delta +0.0055071097) and was not significant (permutation p=0.63405), so there is no observed benchmark win. The trained-model mechanism signature was confirmed: attention rows were normalized and positive, with row-sum error 2.38e-7 and learned sigma values near initialization.", "metrics": { "baseline": "Scaled dot-product transformer_tiny on sequence forecasting; best lr=0.003; 8-seed test MSE mean 0.3237519413, std 0.0466246347.", "idea": "First-Spike Laplacian transformer_tiny using sigmoid latency surrogates, L1 distances, and learned positive bandwidth; best sigma=0.7 at lr=0.003; 8-seed test MSE mean 0.3292590510, std 0.0575468007.", "paired_comparison": "delta_mean=+0.0055071097, idea_wins=3/8, permutation p=0.63405, verdict=no significant win.", "baseline_sweep": "lr=0.0015: 0.3423246816; lr=0.003: 0.3276267201; lr=0.006: 0.5004829466 on 4 sweep seeds.", "idea_sweep": "sigma=0.35: 0.3341145515; sigma=0.7: 0.3163300715; sigma=1.4: 0.3244466111 on 4 sweep seeds, all at lr=0.003.", "operation_accounting": "Per query-key channel, dot-product attention uses 32 multiplications; Laplacian attention uses 0 query-key channel multiplications and 32 subtract/absolute operations, excluding projections and reductions." }, "bench_report": { "bench_version": 1, "track": "sequence", "model": "transformer_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.003, "epochs": 12 }, "sweep": [ { "cfg": { "lr": 0.0015, "epochs": 12 }, "mean": 0.3423246815800667 }, { "cfg": { "lr": 0.003, "epochs": 12 }, "mean": 0.32762672007083893 }, { "cfg": { "lr": 0.006, "epochs": 12 }, "mean": 0.5004829466342926 } ], "full": { "mean": 0.32375194132328033, "std": 0.046624634658664434, "per_seed": [ 0.34710654616355896, 0.2919960618019104, 0.30691948533058167, 0.3644847869873047, 0.31837883591651917, 0.24451658129692078, 0.4092934727668762, 0.3073197603225708 ], "n": 8 } }, "idea": { "mean": 0.3292590510100126, "std": 0.057546800666266544, "per_seed": [ 0.34751513600349426, 0.24287833273410797, 0.32763731479644775, 0.347289502620697, 0.3484017848968506, 0.23375016450881958, 0.41173285245895386, 0.37486732006073 ], "n": 8 }, "comparison": { "delta_mean": 0.005507109686732292, "idea_wins": 3, "n_pairs": 8, "per_seed_diffs": [ 0.00040858983993530273, -0.04911772906780243, 0.02071782946586609, -0.017195284366607666, 0.03002294898033142, -0.010766416788101196, 0.0024393796920776367, 0.06754755973815918 ], "p_value": 0.63405, "mde": 0.029104389124102455, "mde_rel_pct": 8.989718796787217, "verdict": "no significant win", "system_worked": false }, "mechanism_signature": { "prediction": "Laplacian rows are normalized, nonnegative, and larger sigma gives less selective attention.", "trained_model_observed": { "row_sum_error": 2.384185791015625e-07, "min_attention": 1.5814957521342876e-07, "mean_entropy_first_two_seeds": 2.5159993171691895, "learned_sigma_first_two_seeds": [ 0.7006007432937622, 0.7081389427185059 ] }, "predicted": { "row_sum_error": 0.0, "min_attention": 0.0 }, "confirmed": true }, "idea_sweep": [ { "cfg": { "lr": 0.003, "epochs": 12, "sigma": 0.35 }, "mean": 0.33411455154418945, "per_seed": [ 0.3964906334877014, 0.2513992488384247, 0.33635154366493225, 0.35221678018569946 ] }, { "cfg": { "lr": 0.003, "epochs": 12, "sigma": 0.7 }, "mean": 0.31633007153868675, "per_seed": [ 0.34751513600349426, 0.24287833273410797, 0.32763731479644775, 0.347289502620697 ] }, { "cfg": { "lr": 0.003, "epochs": 12, "sigma": 1.4 }, "mean": 0.3244466111063957, "per_seed": [ 0.3361342251300812, 0.26523905992507935, 0.3481976091861725, 0.3482155501842499 ] } ], "best_idea_cfg": { "lr": 0.003, "epochs": 12, "sigma": 0.7 }, "operation_accounting": { "dot_qk_channel_multiplications_per_pair": 32, "lap_qk_channel_multiplications_per_pair": 0, "lap_abs_subtracts_per_pair": 32 }, "runtime_note": "400 train/200 test, 12 epochs, batch 128, 8 paired seeds" }, "how_to_run": "cd /home/maxwelhelp/all/math2nn/experiments/exp2152_first-spike-laplacian-attention && /home/maxwelhelp/main/bin/python3 bench_experiment.py", "files": [ "bench_experiment.py", "bench_report.json", "bench_stdout.txt", "laplacian_attention.py", "verify_module.py" ], "limitations": "Only the built-in sequence forecasting track was tested; no CIFAR spiking ViT, actual first-spike event simulation, wall-clock kernel benchmark, GPU energy measurement, or larger/deeper transformer was evaluated. The latency representation used a differentiable sigmoid surrogate rather than discrete first-spike times.", "system_verdict": "partial", "practical_verdict": "inconclusive", "mechanism_ok": 1, "system_judged": true }