{
  "seed": 2891,
  "graph_nodes": 8,
  "module_dimension": 3,
  "lambda_min_Gamma": 0.9690295087725669,
  "degrees": [
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    0.98,
    1.55,
    1.98,
    0.6,
    0.98,
    1.67,
    1.08
  ],
  "predictions": {
    "decay_rate": "late log(V) slope = -2*c*lambda_min(L+P)*lambda_min(Gamma)",
    "pinning": "lambda_min and decay magnitude increase with p, with diminishing gains",
    "selection": "greedy marginal gap maximization beats random choices on this graph"
  },
  "greedy_pins": [
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    6
  ],
  "greedy_marginal_gains": [
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    0.09544569911833947
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      "observed_slope": -0.08570218630880942,
      "predicted_slope": -0.0857020589103981,
      "ratio_abs_observed_to_predicted": 1.0319618520116174
    },
    {
      "c": 0.5,
      "observed_slope": -0.17140437261761884,
      "predicted_slope": -0.1714041178207962,
      "ratio_abs_observed_to_predicted": 1.0319618520116174
    },
    {
      "c": 1.0,
      "observed_slope": -0.3428087452352377,
      "predicted_slope": -0.3428082356415924,
      "ratio_abs_observed_to_predicted": 1.0319618520116174
    },
    {
      "c": 2.0,
      "observed_slope": -0.6856174904704754,
      "predicted_slope": -0.6856164712831848,
      "ratio_abs_observed_to_predicted": 1.0319618520116174
    }
  ],
  "pin_strength_sweep": [
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      "observed_slope": -0.023788842772816114,
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      "ratio": 1.000000749058836
    },
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      "observed_slope": -0.04672215819424911,
      "predicted_slope": -0.04672212174817027,
      "ratio": 1.0000007800604398
    },
    {
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      "ratio": 1.0000014865268458
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    {
      "p": 2.0,
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      "observed_slope": -0.511719448148651,
      "predicted_slope": -0.5117180585312582,
      "ratio": 1.000002715591857
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    {
      "p": 4.0,
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      "predicted_slope": -0.6584267356500406,
      "ratio": 1.0001446432639578
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  "selection_comparison": {
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      "pins": [
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      "gap": 0.17688224792855622,
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      "predicted_slope": -0.3428082356415924
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    "high_degree": {
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      "gap": 0.17688224792855622,
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    "random_sets": [
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        "pins": [
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          1
        ],
        "gap": 0.1378763027946528
      },
      {
        "pins": [
          2,
          7
        ],
        "gap": 0.14899242322323586
      },
      {
        "pins": [
          1,
          6
        ],
        "gap": 0.14554145114847472
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      {
        "pins": [
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          5
        ],
        "gap": 0.1674522400235533
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      {
        "pins": [
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        ],
        "gap": 0.13354348526672344
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    ],
    "random_mean_gap": 0.14668118049132803,
    "random_mean_observed_slope": -0.28427703144968575
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  "max_rate_prediction_ratio_error": 0.03196185201161739,
  "all_rate_ratios_within_25pct": true,
  "greedy_beats_random_mean_gap": true,
  "greedy_beats_high_degree_gap": false
}