{ "claim": "DCF soft/hard agreement across alpha=0.01..0.10", "scope": "benchmark-scale proxy; not the unreleased paper scorer/ADGs", "dataset": "https://huggingface.co/datasets/qwedsacf/competition_math", "dataset_revision": "e839825f9ec5c6cfa585c654a59610969ec13993", "dataset_file_sha256": "2325458edc03d786939ee9e1e5795efb9e2480247b6e1ed2c51f41bea7369c6a", "examples": 12500, "solution_claim_nodes": 57661, "step_count": { "minimum": 1, "median": 4.0, "maximum": 24 }, "graph_construction": "sentence/TeX-step split; sequential chain with transitive ancestors", "risk_proxy": "deterministic structural features plus pinned BLAKE2 jitter; not learned factuality", "threshold_grid": [ 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.9, 0.95 ], "temperature": 0.01, "ancestor_weight": 1.0, "rows": [ { "alpha": 0.01, "calibrated_tau_alpha": 0.9485867535480055, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12126, "exact_set_agreement_percent": 97.008, "node_matches": 56650, "node_agreement_percent": 98.24664851459391, "hard_retained_nodes": 53769, "soft_retained_nodes": 54776, "minimum_selected_threshold_mass": 0.9932620530009145 }, { "alpha": 0.02, "calibrated_tau_alpha": 0.9058958085932685, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12126, "exact_set_agreement_percent": 97.008, "node_matches": 56650, "node_agreement_percent": 98.24664851459391, "hard_retained_nodes": 53769, "soft_retained_nodes": 54776, "minimum_selected_threshold_mass": 0.9932620530009145 }, { "alpha": 0.03, "calibrated_tau_alpha": 0.872870755145197, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12033, "exact_set_agreement_percent": 96.264, "node_matches": 56431, "node_agreement_percent": 97.86684240647925, "hard_retained_nodes": 51082, "soft_retained_nodes": 52310, "minimum_selected_threshold_mass": 0.9932620530009145 }, { "alpha": 0.04, "calibrated_tau_alpha": 0.8452746675506868, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 11992, "exact_set_agreement_percent": 95.936, "node_matches": 56289, "node_agreement_percent": 97.62057543226791, "hard_retained_nodes": 47914, "soft_retained_nodes": 49284, "minimum_selected_threshold_mass": 0.9932620530009145 }, { "alpha": 0.05, "calibrated_tau_alpha": 0.8213467377375022, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 11992, "exact_set_agreement_percent": 95.936, "node_matches": 56289, "node_agreement_percent": 97.62057543226791, "hard_retained_nodes": 47914, "soft_retained_nodes": 49284, "minimum_selected_threshold_mass": 0.9932620530009145 }, { "alpha": 0.06, "calibrated_tau_alpha": 0.7987028271142255, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12093, "exact_set_agreement_percent": 96.744, "node_matches": 56442, "node_agreement_percent": 97.8859194256083, "hard_retained_nodes": 45596, "soft_retained_nodes": 46813, "minimum_selected_threshold_mass": 0.9932620530009147 }, { "alpha": 0.07, "calibrated_tau_alpha": 0.7680811225829118, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12093, "exact_set_agreement_percent": 96.744, "node_matches": 56442, "node_agreement_percent": 97.8859194256083, "hard_retained_nodes": 45596, "soft_retained_nodes": 46813, "minimum_selected_threshold_mass": 0.9932620530009147 }, { "alpha": 0.08, "calibrated_tau_alpha": 0.7362484987343773, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12017, "exact_set_agreement_percent": 96.136, "node_matches": 56334, "node_agreement_percent": 97.69861778325038, "hard_retained_nodes": 43181, "soft_retained_nodes": 44506, "minimum_selected_threshold_mass": 0.9932620530009147 }, { "alpha": 0.09, "calibrated_tau_alpha": 0.7093421666704366, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12017, "exact_set_agreement_percent": 96.136, "node_matches": 56334, "node_agreement_percent": 97.69861778325038, "hard_retained_nodes": 43181, "soft_retained_nodes": 44506, "minimum_selected_threshold_mass": 0.9932620530009147 }, { "alpha": 0.1, "calibrated_tau_alpha": 0.6835161550334733, "examples": 12500, "claim_nodes": 57661, "exact_set_matches": 12038, "exact_set_agreement_percent": 96.304, "node_matches": 56324, "node_agreement_percent": 97.6812750385876, "hard_retained_nodes": 40560, "soft_retained_nodes": 41895, "minimum_selected_threshold_mass": 0.9932620530009145 } ], "minimum_exact_set_agreement_percent": 95.936, "maximum_exact_set_agreement_percent": 97.008, "minimum_node_agreement_percent": 97.62057543226791, "maximum_node_agreement_percent": 98.24664851459391 }