{
  "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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        66.93246957140099,
        62.97124586323505,
        44.44681912338148,
        39.55790897090187,
        30.658761727192164,
        28.532799632416502,
        17.341306194830466,
        17.110696702176625
      ],
      "effective_rank_participation": 43.68908466091624,
      "rank_for_90_percent": 231,
      "rank_for_99_percent": 256,
      "median_relative_gap": 2.4790524440157122e-05,
      "min_relative_gap_top20": 0.0017473938021642316
    },
    "text": {
      "top_eigenvalues": [
        133.86809603238817,
        107.42968273502699,
        97.43054104356617,
        70.84732951921603,
        67.52559303099846,
        61.0931595120219,
        37.49807510761304,
        34.70420054832222,
        29.285623461524054,
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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": 0.015625,
      "chance": 0.00390625
    },
    "grampa_eta0.5": {
      "accuracy": 0.0234375,
      "chance": 0.00390625
    },
    "grampa_eta1.0": {
      "accuracy": 0.03515625,
      "chance": 0.00390625
    },
    "grampa_eta2.0": {
      "accuracy": 0.02734375,
      "chance": 0.00390625
    },
    "grampa_eta4.0": {
      "accuracy": 0.03125,
      "chance": 0.00390625
    }
  },
  "field_correlation_at_truth": 0.808082009691093
}