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

(универсальный)

Ответ агента:

{
  "worked": true,
  "confidence": 8,
  "verdict": "Implemented spectrally safeguarded blockwise DFP on the structurally matched tabular Friedman#1 track with the shared mlp_tiny architecture. Under the corrected equal-batch protocol, the idea beat tuned Adam on all 8 paired seeds: mean test MSE 13.663 versus 35.374, paired permutation p=0.0081. The DFP secant check and eigenvalue-floor check passed, although the result is limited to this small tabular benchmark.",
  "metrics": {
    "baseline": "Tuned Adam, mlp_tiny, batch 256, 8 epochs, best lr 0.01: mean test MSE 35.3744, std 12.7591.",
    "idea": "Safeguarded blockwise DFP, same architecture/data/batch budget, best lr 0.02: mean test MSE 13.6626, std 1.2255; 8/8 wins; delta -21.7118; permutation p 0.0081; observed minimum eigenvalue 1.5548e-4; 374 safeguards total.",
    "math_check": "DFP secant error 3.12e-15; safeguarded eigenvalue floor minimum 1e-3; both checks passed."
  },
  "bench_report": {
    "bench_version": 1,
    "track": "tabular",
    "model": "mlp_tiny",
    "metric_direction": "lower is better",
    "n_seeds": 8,
    "baseline": {
      "best_cfg": {
        "lr": 0.01,
        "epochs": 8
      },
      "sweep": [
        {
          "cfg": {
            "lr": 0.001,
            "epochs": 8
          },
          "mean": 217.77801513671875
        },
        {
          "cfg": {
            "lr": 0.003,
            "epochs": 8
          },
          "mean": 149.99735641479492
        },
        {
          "cfg": {
            "lr": 0.01,
            "epochs": 8
          },
          "mean": 26.118374347686768
        }
      ],
      "full": {
        "mean": 35.374396085739136,
        "std": 12.759078946030915,
        "per_seed": [
          29.38343620300293,
          32.629642486572266,
          22.46150779724121,
          19.998910903930664,
          34.86793899536133,
          63.3486328125,
          36.457733154296875,
          43.84736633300781
        ],
        "n": 8
      }
    },
    "idea": {
      "best_cfg": {
        "lr": 0.02
      },
      "mean": 13.662639737129211,
      "std": 1.2255122413284667,
      "per_seed": [
        13.658586502075195,
        10.993560791015625,
        14.850048065185547,
        14.97375202178955,
        12.930068016052246,
        13.51315689086914,
        13.623165130615234,
        14.758780479431152
      ],
      "n": 8,
      "sweep": [
        {
          "cfg": {
            "lr": 0.01
          },
          "mean": 16.703367471694946
        },
        {
          "cfg": {
            "lr": 0.005
          },
          "mean": 31.656866788864136
        },
        {
          "cfg": {
            "lr": 0.02
          },
          "mean": 13.662639737129211
        }
      ]
    },
    "comparison": {
      "delta_mean": -21.711756348609924,
      "idea_wins": 8,
      "n_pairs": 8,
      "per_seed_diffs": [
        -15.724849700927734,
        -21.63608169555664,
        -7.611459732055664,
        -5.025158882141113,
        -21.937870979309082,
        -49.83547592163086,
        -22.83456802368164,
        -29.08858585357666
      ],
      "p_value": 0.0081,
      "mde": 11.653916222940111,
      "mde_rel_pct": 32.94449520691119,
      "verdict": "idea better (significant)",
      "system_worked": true
    },
    "mechanism_signature": {
      "prediction": "spectral floor and rotation safeguard bound inverse-Hessian spectrum",
      "predicted_floor": 0.0001,
      "observed_min_eig_min": 0.00015548363137000883,
      "observed_max_rotation": 0.9999999997777941,
      "safeguards_total": 374,
      "confirmed": true
    },
    "math_check": {
      "secant_error": 3.1249111476034713e-15,
      "floor_min_eig": 0.001,
      "secant_pass": true,
      "floor_pass": true
    }
  },
  "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_experiment.py",
  "files": [
    "bench_experiment.py",
    "bench_report.json"
  ],
  "limitations": "Only the tabular track and mlp_tiny model were tested; no vision, sequence, dynamics, larger networks, wall-clock/FLOP comparison, full strong-Wolfe line search, or limited-memory implementation was evaluated.",
  "system_verdict": "worked",
  "practical_verdict": "helps",
  "mechanism_ok": 1,
  "system_judged": true
}