{ "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": { "0.03": { "source": "math_anneal", "gamma": 4.0, "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 }, "0.05": { "source": "math_anneal_low_alpha", "gamma": 6.0, "lambda_": 1.6, "squash_temp": 2.0, "temp": 0.1, "cutoff_temp": 0.1, "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 }, "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, "hard_avg_claims_retained_std": 1.6173523793559226, "baseline_coverage": 0.9409900990099007, "baseline_retention": 1.738415841584158, "meets_baseline": true, "retention_improvement": 1.8193114311431142 }, "0.07": { "source": "math_anneal", "gamma": 1.5, "lambda_": 1.7, "squash_temp": 0.4, "temp": 0.1, "cutoff_temp": 0.1, "hard_coverage_mean": 0.9313636363636364, "hard_coverage_std": 0.0886293703534906, "hard_avg_claims_retained_mean": 3.6304545454545454, "hard_avg_claims_retained_std": 1.4842764745466264, "baseline_coverage": 0.9299009900990097, "baseline_retention": 2.0138613861386134, "meets_baseline": true, "retention_improvement": 1.616593159315932 }, "0.08": { "source": "math_anneal", "gamma": 6.0, "lambda_": 1.75, "squash_temp": 1.0, "temp": 0.1, "cutoff_temp": 0.1, "hard_coverage_mean": 0.9413636363636364, "hard_coverage_std": 0.08442684740047723, "hard_avg_claims_retained_mean": 3.6909090909090905, "hard_avg_claims_retained_std": 1.2174862328883755, "baseline_coverage": 0.9182178217821783, "baseline_retention": 2.3081188118811884, "meets_baseline": true, "retention_improvement": 1.3827902790279021 }, "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, "hard_coverage_std": 0.09642793738039832, "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 } }, "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"] } }