{
  "protocol": "Fields are built per modality without pairs; the hidden permutation is applied to the text field and used only to score. Spectral initialisation is followed by exact steepest descent on the closed-form energy.",
  "samples": 256,
  "field_correlation_at_truth": 0.928480988366389,
  "true_energy": 0.6498054265975952,
  "chance": 0.00390625,
  "spectra": {
    "visual": {
      "top_eigenvalues": [
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        115.7367032787534,
        94.11036212693584,
        73.31520472931007,
        69.24982478303653,
        61.61415730371504,
        40.281226901986344,
        34.88687571099253,
        30.71649581051721,
        24.853735704822725,
        16.088660231570703,
        15.224937914175442
      ],
      "effective_rank_participation": 40.32825205310635,
      "rank_for_90_percent": 231,
      "rank_for_99_percent": 256,
      "median_relative_gap": 1.785900713039328e-05,
      "min_relative_gap_top20": 0.003872164145678641
    },
    "text": {
      "top_eigenvalues": [
        133.868096032388,
        107.4296827350269,
        97.43054104356615,
        70.84732951921617,
        67.52559303099846,
        61.09315951202199,
        37.49807510761305,
        34.704200548322255,
        29.285623461524068,
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        15.653633086855624,
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      ],
      "effective_rank_participation": 37.778592431757254,
      "rank_for_90_percent": 231,
      "rank_for_99_percent": 256,
      "median_relative_gap": 3.0622584935119686e-10,
      "min_relative_gap_top20": 0.0015880669322484227
    }
  },
  "stages": {
    "spectral": {
      "accuracy": 0.53515625
    },
    "spectral_plus_refinement": {
      "accuracy": 0.953125,
      "energy": 0.6473816633224487,
      "energy_over_true": -0.003729983124082792
    },
    "random_start_refinement": [
      {
        "accuracy": 0.0703125,
        "energy": 2.4565930366516113
      }
    ]
  }
}