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{
  "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": [
        173.58936943015493,
        96.5966431722985,
        73.9880164207959,
        59.2566787798251,
        45.56147102176048,
        37.14216515953635,
        34.18397554450124,
        29.77003246359442,
        27.04528073479335,
        21.477065125047282,
        17.434030610985833,
        15.604237902815296
      ],
      "effective_rank_participation": 35.97226004391897,
      "rank_for_90_percent": 235,
      "rank_for_99_percent": 256,
      "median_relative_gap": 3.819151448853615e-05,
      "min_relative_gap_top20": 0.000480814611403741
    },
    "text": {
      "top_eigenvalues": [
        133.86809698096567,
        107.42968163933162,
        97.43054166305068,
        70.84733000657208,
        67.52559319288596,
        61.093159653673546,
        37.49807515918148,
        34.7042009500592,
        29.28562344777695,
        20.891230664856856,
        15.65363265093253,
        14.22029521310555
      ],
      "effective_rank_participation": 37.778592574970936,
      "rank_for_90_percent": 231,
      "rank_for_99_percent": 256,
      "median_relative_gap": 3.068136276924476e-10,
      "min_relative_gap_top20": 0.001588063369249634
    }
  },
  "solvers": {
    "umeyama": {
      "accuracy": 0.01171875,
      "chance": 0.00390625
    },
    "grampa_eta1.0": {
      "accuracy": 0.05078125,
      "chance": 0.00390625
    },
    "grampa_eta2.0": {
      "accuracy": 0.046875,
      "chance": 0.00390625
    },
    "grampa_eta5.0": {
      "accuracy": 0.01953125,
      "chance": 0.00390625
    },
    "grampa_eta10.0": {
      "accuracy": 0.01171875,
      "chance": 0.00390625
    },
    "grampa_eta20.0": {
      "accuracy": 0.0,
      "chance": 0.00390625
    },
    "grampa_eta50.0": {
      "accuracy": 0.015625,
      "chance": 0.00390625
    }
  },
  "field_correlation_at_truth": 0.5695660173938809
}