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{
  "description": "Best MATH DCF results aggregated from multiple runs",
  "date_generated": "2026-01-15",
  "source_runs": {
    "math_anneal": "results/math_anneal/math/hyperparams.json",
    "math_anneal_low_alpha": "results/math_anneal_low_alpha/math/hyperparams.json",
    "math": "results/math/hyperparams.json"
  },
  "alpha_to_source": {
    "0.03": "math_anneal",
    "0.04": "math_anneal",
    "0.05": "math_anneal_low_alpha",
    "0.06": "math_anneal",
    "0.07": "math_anneal",
    "0.08": "math_anneal",
    "0.09": "math_anneal",
    "0.10": "math_anneal"
  },
  "best_results": {
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      "lambda_": 1.35,
      "squash_temp": 1.0,
      "temp": 1.0,
      "cutoff_temp": 0.5,
      "hard_coverage_mean": 0.9654545454545455,
      "hard_coverage_std": 0.05674358739755357,
      "hard_avg_claims_retained_mean": 1.7604545454545453,
      "hard_avg_claims_retained_std": 0.9699291743760393,
      "baseline_coverage": 0.9708910891089109,
      "baseline_retention": 0.7255445544554455,
      "meets_baseline": false,
      "retention_improvement": 1.0349099909990998
    },
    "0.04": {
      "source": "math_anneal",
      "gamma": 5.0,
      "lambda_": 1.3,
      "squash_temp": 2.0,
      "temp": 0.1,
      "cutoff_temp": 0.1,
      "hard_coverage_mean": 0.9559090909090908,
      "hard_coverage_std": 0.05815873121491669,
      "hard_avg_claims_retained_mean": 2.2209090909090907,
      "hard_avg_claims_retained_std": 0.8840370397236226,
      "baseline_coverage": 0.9580198019801978,
      "baseline_retention": 1.1380198019801981,
      "meets_baseline": false,
      "retention_improvement": 1.0828892889288926
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    "0.05": {
      "source": "math_anneal_low_alpha",
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      "lambda_": 1.6,
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      "temp": 0.1,
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      "hard_coverage_mean": 0.9554545454545454,
      "hard_coverage_std": 0.07368124333800775,
      "hard_avg_claims_retained_mean": 2.3086363636363636,
      "hard_avg_claims_retained_std": 1.1840694466734012,
      "baseline_coverage": 0.9485148514851486,
      "baseline_retention": 1.4352475247524752,
      "meets_baseline": true,
      "retention_improvement": 0.8733888388838884
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    "0.06": {
      "source": "math_anneal",
      "gamma": 6.0,
      "lambda_": 1.6,
      "squash_temp": 0.4,
      "temp": 0.1,
      "cutoff_temp": 0.1,
      "hard_coverage_mean": 0.9413636363636364,
      "hard_coverage_std": 0.08442684740047723,
      "hard_avg_claims_retained_mean": 3.557727272727272,
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      "source": "math_anneal",
      "gamma": 1.5,
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      "hard_coverage_mean": 0.9313636363636364,
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      "hard_avg_claims_retained_mean": 3.6304545454545454,
      "hard_avg_claims_retained_std": 1.4842764745466264,
      "baseline_coverage": 0.9299009900990097,
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      "meets_baseline": true,
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    "0.08": {
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      "hard_avg_claims_retained_mean": 3.6909090909090905,
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      "baseline_coverage": 0.9182178217821783,
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    "0.09": {
      "source": "math_anneal",
      "gamma": 2.0,
      "lambda_": 1.7,
      "squash_temp": 0.4,
      "temp": 0.1,
      "cutoff_temp": 0.01,
      "hard_coverage_mean": 0.9063636363636365,
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      "hard_avg_claims_retained_mean": 5.566818181818181,
      "hard_avg_claims_retained_std": 1.4568370442687537,
      "baseline_coverage": 0.905940594059406,
      "baseline_retention": 2.7489108910891087,
      "meets_baseline": true,
      "retention_improvement": 2.8179072907290723
    },
    "0.10": {
      "source": "math_anneal",
      "gamma": 5.0,
      "lambda_": 1.9,
      "squash_temp": 2.0,
      "temp": 0.1,
      "cutoff_temp": 0.5,
      "hard_coverage_mean": 0.8963636363636365,
      "hard_coverage_std": 0.10161505712595326,
      "hard_avg_claims_retained_mean": 5.989545454545455,
      "hard_avg_claims_retained_std": 1.3708544569533119,
      "baseline_coverage": 0.896831683168317,
      "baseline_retention": 3.3269306930693068,
      "meets_baseline": false,
      "retention_improvement": 2.6626147614761482
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  },
  "summary": {
    "meets_baseline_count": 5,
    "total_alphas": 8,
    "alphas_meeting_baseline": ["0.05", "0.06", "0.07", "0.08", "0.09"],
    "alphas_not_meeting": ["0.03", "0.04", "0.10"]
  }
}