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

(универсальный)

Ответ агента:

{
  "worked": false,
  "confidence": 9,
  "verdict": "Implemented and evaluated the Response-from-Hessian Regularizer on the registered dynamics track with matched rnn_small systems, a tuned baseline sweep, and 8 paired seeds. The idea reduced mean test MSE and won 7/8 pairs, but the paired permutation p-value was 0.17895, so it failed the required significant-win criterion; its trained-model mechanism signature was also not confirmed.",
  "metrics": {
    "baseline": "Best lr=0.01; full mean test MSE 0.0014198302378645167.",
    "idea": "Best lr=0.01; full mean test MSE 0.0012014269523206167; delta_mean -0.00021840328554389998; p_value 0.17895; verdict no significant win."
  },
  "how_to_run": "/home/maxwelhelp/main/bin/python3 stage2_bench.py",
  "files": [
    "stage2_bench.py",
    "bench_report.json",
    "stage2_stdout.txt"
  ],
  "bench_report": {
    "bench_version": 1,
    "track": "dynamics",
    "model": "rnn_small",
    "metric_direction": "lower is better",
    "n_seeds": 8,
    "baseline": {
      "best_cfg": {
        "lr": 0.01
      },
      "sweep": [
        {
          "cfg": {
            "lr": 0.001
          },
          "mean": 0.004298779065720737
        },
        {
          "cfg": {
            "lr": 0.003
          },
          "mean": 0.0034615940821822733
        },
        {
          "cfg": {
            "lr": 0.01
          },
          "mean": 0.0014865802077110857
        }
      ],
      "full": {
        "mean": 0.0014198302378645167,
        "std": 0.00039839114901047844,
        "per_seed": [
          0.0009327387670055032,
          0.0018641706556081772,
          0.0010785290505737066,
          0.0020708823576569557,
          0.0009260809747502208,
          0.0014055331703275442,
          0.0016443432541564107,
          0.001436363672837615
        ],
        "n": 8
      }
    },
    "idea": {
      "mean": 0.0012014269523206167,
      "std": 0.0003833906235964023,
      "per_seed": [
        0.0005308947875164449,
        0.00110043294262141,
        0.0015973668778315187,
        0.0017763767391443253,
        0.0008540595881640911,
        0.001374695566482842,
        0.000991623499430716,
        0.0013859656173735857
      ],
      "n": 8
    },
    "comparison": {
      "delta_mean": -0.00021840328554389998,
      "idea_wins": 7,
      "n_pairs": 8,
      "per_seed_diffs": [
        -0.00040184397948905826,
        -0.0007637377129867673,
        0.000518837827257812,
        -0.00029450561851263046,
        -7.2021386589672e-05,
        "-0.00003083760384470424",
        -0.0006527197547256947,
        -5.039805546402931e-05
      ],
      "p_value": 0.17895,
      "mde": 0.00033947390618403674,
      "mde_rel_pct": 23.90947150798954,
      "verdict": "no significant win",
      "system_worked": false
    },
    "mechanism_signature": {
      "idea_config": {
        "lr": 0.01
      },
      "idea_sweep": [
        {
          "cfg": {
            "lr": 0.001
          },
          "result": {
            "mean": 0.004815780295757577,
            "std": 0.0014414284088542476,
            "per_seed": [
              0.007190660573542118,
              0.0025714822113513947,
              0.0030915497336536646,
              0.005778642371296883,
              0.005150299984961748,
              0.0042128548957407475,
              0.004502150695770979,
              0.00602860189974308
            ],
            "n": 8
          }
        },
        {
          "cfg": {
            "lr": 0.003
          },
          "result": {
            "mean": 0.0031467917578993365,
            "std": 0.0019972773089779808,
            "per_seed": [
              0.003412304213270545,
              0.002708759158849716,
              0.001344470540061593,
              0.008165908977389336,
              0.0023987311869859695,
              0.002598112216219306,
              0.0016315100947394967,
              0.00291453767567873
            ],
            "n": 8
          }
        },
        {
          "cfg": {
            "lr": 0.01
          },
          "result": {
            "mean": 0.0012014269523206167,
            "std": 0.0003833906235964023,
            "per_seed": [
              0.0005308947875164449,
              0.00110043294262141,
              0.0015973668778315187,
              0.0017763767391443253,
              0.0008540595881640911,
              0.001374695566482842,
              0.000991623499430716,
              0.0013859656173735857
            ],
            "n": 8
          }
        }
      ],
      "prediction": "Hessian response magnitude is finite and tracks curvature scale",
      "rayleigh_q": 5.0501101213740185e-05,
      "observed_hvp_norm": 0.17713873088359833,
      "predicted_curvature_scale": 5.0501101213740185e-05,
      "gradient_norm": 1.5206302404403687,
      "observed_to_predicted_ratio": 3506.9267275331645,
      "confirmed": false
    }
  },
  "limitations": "The benchmark used the built-in 400-sample dynamics task and 12 epochs, with a two-vector stochastic parameter-space Hessian penalty rather than a functional density Hessian or Lanczos estimator. The response signature was a parameter-space diagnostic, not physical external-potential re-minimization; no PDE/cDFT grid, conserved-number projection, wall-clock comparison, or larger-scale generalization study was performed.",
  "system_verdict": "failed",
  "practical_verdict": "inconclusive",
  "mechanism_ok": 0,
  "system_judged": true
}