{
  "seed": 2184,
  "prediction_checks": {
    "weak_noise_scaling": {
      "predicted_loglog_slope": -0.5,
      "observed_loglog_slope": -0.48114411850291106,
      "tolerance": 0.12,
      "passed": true,
      "n": [
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        16,
        32,
        64,
        128,
        256
      ],
      "std": [
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        0.33853416469623837,
        0.21744622617264295,
        0.16226827000783398,
        0.11905282477270107,
        0.08162000556664657
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    "consensus_transition": {
      "prediction": "majority improves for p>0.5 and worsens for p<0.5",
      "rows": [
        {
          "p": 0.4,
          "m": 3,
          "observed_error": 0.6497,
          "hoeffding_bound": 0.9417645335842487
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        {
          "p": 0.4,
          "m": 7,
          "observed_error": 0.7038333333333333,
          "hoeffding_bound": 0.8693582353988059
        },
        {
          "p": 0.4,
          "m": 15,
          "observed_error": 0.7860666666666667,
          "hoeffding_bound": 0.740818220681718
        },
        {
          "p": 0.4,
          "m": 31,
          "observed_error": 0.8718,
          "hoeffding_bound": 0.5379444375946747
        },
        {
          "p": 0.55,
          "m": 3,
          "observed_error": 0.4246333333333333,
          "hoeffding_bound": 0.9851119396030626
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        {
          "p": 0.55,
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          "observed_error": 0.3939666666666667,
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        {
          "p": 0.55,
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          "observed_error": 0.3486666666666667,
          "hoeffding_bound": 0.9277434863285527
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        {
          "p": 0.55,
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          "observed_error": 0.2853,
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        },
        {
          "p": 0.7,
          "m": 3,
          "observed_error": 0.21806666666666666,
          "hoeffding_bound": 0.7866278610665535
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        {
          "p": 0.7,
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          "observed_error": 0.1255,
          "hoeffding_bound": 0.5712090638488151
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        {
          "p": 0.7,
          "m": 15,
          "observed_error": 0.049433333333333336,
          "hoeffding_bound": 0.3011942119122023
        },
        {
          "p": 0.7,
          "m": 31,
          "observed_error": 0.007833333333333333,
          "hoeffding_bound": 0.08374322559219607
        },
        {
          "p": 0.85,
          "m": 3,
          "observed_error": 0.061533333333333336,
          "hoeffding_bound": 0.47950545897489416
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        {
          "p": 0.85,
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          "observed_error": 0.012533333333333334,
          "hoeffding_bound": 0.1799637207131122
        },
        {
          "p": 0.85,
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          "hoeffding_bound": 0.025349405522724956
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        {
          "p": 0.85,
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          "observed_error": 0.0,
          "hoeffding_bound": 0.0005029599566898495
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      ],
      "passed": true
    },
    "patch_count_scaling": {
      "prediction": "error decreases with m for p=.70 and stays below Hoeffding upper bound",
      "rows": [
        {
          "p": 0.7,
          "m": 3,
          "observed_error": 0.21806666666666666,
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        {
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        },
        {
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      "monotonic_with_sampling_tolerance": true,
      "below_bound_with_sampling_tolerance": true,
      "passed": true
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  },
  "secondary_mvp": {
    "local_exact_support_accuracy_mean": 0.997125,
    "modal_consensus_exact_accuracy": 1.0,
    "interpretation": "consensus converts noisy local support votes into a region-level decision"
  },
  "all_mechanism_checks_passed": true
}