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

(универсальный)

Ответ агента:

{
  "worked": false,
  "confidence": 9,
  "verdict": "Implemented separable Ky-Fan spectral regularization on the registered tabular/mlp_tiny benchmark. The majorization check passed all 40 trials with zero failures and worst slack 2.73e-12; the trained-model R1 signature was confirmed with mean exact-norm/R1 ratio 0.540. However, the idea was significantly worse than the tuned baseline across 8 paired seeds, so it does not constitute a benchmark win.",
  "metrics": {
    "baseline": "test MSE mean 12.842816, std 1.379313, best cfg lr=0.006 wd=0.0001",
    "idea": "test MSE mean 15.766903, std 1.232610, best cfg lr=0.006 wd=0.0001 lambda=0.001 k=4; paired delta +2.924086; permutation p=0.0081"
  },
  "how_to_run": "/home/maxwelhelp/main/bin/python3 bench_run.py",
  "files": [
    "bench_run.py",
    "bench_report.json",
    "bench_run.out"
  ],
  "limitations": "Only the registered tabular regularization track was tested, using a small 64-dimensional hidden PSD operator, 400 training examples, and 15 epochs. The larger proposed MNIST/CIFAR setting, wall-clock overhead, exploding-update frequency, and broader factor-size scaling were not tested.",
  "bench_report": {
    "bench_version": 1,
    "track": "tabular",
    "model": "mlp_tiny",
    "metric_direction": "lower is better",
    "n_seeds": 8,
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        "lr": 0.006,
        "wd": 0.0001
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            "lr": 0.001,
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        {
          "cfg": {
            "lr": 0.001,
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          "mean": 69.16811275482178
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        {
          "cfg": {
            "lr": 0.003,
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          "mean": 15.44080638885498
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        {
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            "lr": 0.003,
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        {
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          "mean": 12.937470436096191
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        {
          "cfg": {
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          "mean": 12.618298768997192
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      ],
      "full": {
        "mean": 12.842816472053528,
        "std": 1.3793130820674717,
        "per_seed": [
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          12.94955062866211,
          10.740423202514648,
          12.51738452911377,
          14.032771110534668,
          14.978757858276367
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        "n": 8
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      "idea_union_sweep": [
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            "lr": 0.001,
            "wd": 0.0,
            "lam": 0.001,
            "k": 1
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          "mean": 198.39544296264648
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        {
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            "lr": 0.001,
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            "lam": 0.003,
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          "cfg": {
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          "mean": 20.707414388656616
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        {
          "cfg": {
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          "mean": 15.14272427558899
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        {
          "cfg": {
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          "mean": 15.143461465835571
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          "mean": 15.142550706863403
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        {
          "cfg": {
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          "mean": 14.998723030090332
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        {
          "cfg": {
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            "lam": 0.003,
            "k": 1
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          "mean": 15.001027822494507
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        {
          "cfg": {
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            "lam": 0.001,
            "k": 4
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          "mean": 14.997964859008789
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      ]
    },
    "idea": {
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      "std": 1.2326099075628074,
      "per_seed": [
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        15.881936073303223,
        14.091837882995605,
        17.229509353637695,
        14.569803237915039,
        16.688566207885742,
        17.655485153198242
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      "n": 8
    },
    "comparison": {
      "delta_mean": 2.9240864515304565,
      "idea_wins": 0,
      "n_pairs": 8,
      "per_seed_diffs": [
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        2.6109619140625,
        4.943723678588867,
        1.142287254333496,
        6.489086151123047,
        2.0524187088012695,
        2.655795097351074,
        2.676727294921875
      ],
      "p_value": 0.0081,
      "mde": 1.591959503517395,
      "mde_rel_pct": 12.395719482416972,
      "verdict": "idea worse (significant)",
      "system_worked": false
    },
    "verification": {
      "trials": 40,
      "failures": 0,
      "worst_cumulative_gap": 2.7284841053187847e-12,
      "max_eigenvalue_ratio_mean": 0.7408118250286352
    },
    "idea_best_cfg": {
      "lr": 0.006,
      "wd": 0.0001,
      "lam": 0.001,
      "k": 4
    },
    "mechanism_signature": {
      "quantity": "exact operator norm / separable R1 bound on trained models",
      "predicted": "ratio <= 1 by the Ky-Fan upper bound",
      "observed_mean_ratio": 0.5401321259511417,
      "observed": [
        {
          "bound_R4": 0.9672489702701569,
          "bound_R1": 3.6167073249816895,
          "exact_norm": 2.102071504543225,
          "ratio_R1": 0.5812113935854257
        },
        {
          "bound_R4": 1.1515326688687006,
          "bound_R1": 4.763582706451416,
          "exact_norm": 2.377279565483332,
          "ratio_R1": 0.4990528583168576
        }
      ],
      "confirmed": true
    },
    "stage2_note": "Baseline and idea use same tabular data, epochs, batch size, Adam, and learning-rate/weight-decay union; idea changes only the first hidden operator and adds the Ky-Fan penalty."
  },
  "system_verdict": "partial",
  "practical_verdict": "harms",
  "mechanism_ok": 1,
  "system_judged": true
}