{"id":"W3041621019","doi":"10.1002/rsa.21072","title":"Root estimation in Galton–Watson trees","year":2022,"lang":"en","type":"preprint","venue":"Random Structures and Algorithms","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"McGill University","keywords":"Tree (set theory); Root (linguistics); Mathematics; Estimator; Statistics; Galton's problem; Tree structure; K-ary tree; Interval tree; Combinatorics; Binary tree","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007099221,0.0008667619,0.001422992,0.002149346,0.0006776535,0.00181902,0.002122005,0.001981989,0.002744715],"category_scores_gemma":[0.04428517,0.0008919082,0.0007760596,0.001348688,0.003396611,0.004271409,0.002631677,0.002490585,0.0005757904],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001028297,"about_ca_system_score_gemma":0.0006179906,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001426807,"about_ca_topic_score_gemma":0.000830494,"domain_scores_codex":[0.9967521,0.001760585,0.0001067873,0.0006351158,0.0005374262,0.0002079764],"domain_scores_gemma":[0.9659961,0.02907309,0.001377833,0.001423973,0.001574225,0.0005548219],"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":[0.0002534437,0.00005043364,0.004767946,0.0001776029,0.0001100291,0.0002247152,0.0003641341,0.3478614,0.002382548,0.6068174,0.00174724,0.03524321],"study_design_scores_gemma":[0.00001287837,0.00001084358,0.0002467285,0.00001923159,0.00000671496,0.00002985035,0.00002348004,0.577821,0.000896705,0.4205092,0.0004088735,0.0000145401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06729097,0.0003954983,0.9299612,0.00027497,0.00003773182,0.00002451838,0.00005871078,0.0002637208,0.001692631],"genre_scores_gemma":[0.8166729,0.000365983,0.1791371,0.0001622123,0.0001187117,0.00009307848,0.0002972175,0.0003027159,0.002850177],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007099221,"threshold_uncertainty_score":0.03754473,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02890864912487433,"score_gpt":0.3278969222721739,"score_spread":0.2989882731472995,"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."}}