{
  "protocol": "Polynomial-time spectral solvers on N x N relation fields; embedding dimensions are irrelevant by construction. The hidden shuffle is applied to the text field and used only to score the returned assignment.",
  "samples": 256,
  "spectra": {
    "visual": {
      "top_eigenvalues": [
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        69.24982478303653,
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        30.71649581051721,
        24.853735704822725,
        16.088660231570703,
        15.224937914175442
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      "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": [
        133.86809603238817,
        107.42968273502699,
        97.43054104356617,
        70.84732951921603,
        67.52559303099846,
        61.0931595120219,
        37.49807510761304,
        34.70420054832222,
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        15.653633086855598,
        14.22029497566402
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      "effective_rank_participation": 37.778592431757225,
      "rank_for_90_percent": 231,
      "rank_for_99_percent": 256,
      "median_relative_gap": 3.0622586593801674e-10,
      "min_relative_gap_top20": 0.0015880669322487523
    }
  },
  "solvers": {
    "umeyama": {
      "accuracy": 0.0234375,
      "chance": 0.00390625
    },
    "grampa_eta0.3": {
      "accuracy": 0.39453125,
      "chance": 0.00390625
    },
    "grampa_eta0.5": {
      "accuracy": 0.46484375,
      "chance": 0.00390625
    },
    "grampa_eta1.0": {
      "accuracy": 0.5390625,
      "chance": 0.00390625
    },
    "grampa_eta2.0": {
      "accuracy": 0.5390625,
      "chance": 0.00390625
    }
  },
  "field_correlation_at_truth": 0.928480988366389
}