{"id":"W2129541994","doi":"10.4171/aihpd/31","title":"The phase transition in random regular exact cover","year":2016,"lang":"en","type":"preprint","venue":"Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"McGill University; National Science Foundation","keywords":"Combinatorics; Satisfiability; Mathematics; Cover (algebra); Star (game theory); Discrete mathematics; Random variable; Statistics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004157997,0.0005478951,0.001340693,0.00131307,0.001055354,0.002191177,0.001762429,0.001223006,0.004963818],"category_scores_gemma":[0.02738377,0.0007821751,0.001241543,0.0009008049,0.00322536,0.003660685,0.001960844,0.002025667,0.0003775115],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003526636,"about_ca_system_score_gemma":0.001465373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003036795,"about_ca_topic_score_gemma":0.003309076,"domain_scores_codex":[0.9969248,0.001149157,0.0001355888,0.0006265641,0.0006072077,0.0005566448],"domain_scores_gemma":[0.9778221,0.01700643,0.001540744,0.001929786,0.0006915309,0.001009266],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001682579,0.0003013906,0.009484338,0.0004302699,0.0001886648,0.0005948733,0.0006067101,0.2937838,0.009273796,0.64597,0.01223835,0.02544513],"study_design_scores_gemma":[0.0001231434,0.0001025295,0.001535173,0.00005024192,0.00003685557,0.0001905829,0.00008655927,0.7150536,0.003301288,0.278219,0.001265459,0.00003562176],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7355923,0.0008831838,0.2392846,0.00358735,0.0001153799,0.0002027375,0.001387041,0.001373348,0.01757398],"genre_scores_gemma":[0.9751076,0.0002015391,0.01986958,0.0004549045,0.00007215923,0.0001801994,0.0006665319,0.0001932612,0.003254243],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004963818,"threshold_uncertainty_score":0.02558768,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02161952106700976,"score_gpt":0.301906142497162,"score_spread":0.2802866214301523,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}