{"id":"W4226108323","doi":"10.1002/rsa.21110","title":"The height of record‐biased trees","year":2022,"lang":"en","type":"preprint","venue":"Random Structures and Algorithms","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Combinatorics; Permutation (music); Sigma; Tree (set theory); Mathematics; Binary tree; Order (exchange); Random permutation; Binary number; Binary search tree; Random binary tree; Rank (graph theory); Binary logarithm; Discrete mathematics; Physics; Symmetric group; Arithmetic","routes":{"ca_aff":true,"ca_fund":false,"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":[0.003048748,0.0002359155,0.0008631171,0.001683028,0.0009912353,0.002410484,0.00143489,0.001644882,0.003731584],"category_scores_gemma":[0.02606172,0.0006858017,0.0004889754,0.001414582,0.001968569,0.003700162,0.001523903,0.001769497,0.000487537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001794314,"about_ca_system_score_gemma":0.0009297671,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00170132,"about_ca_topic_score_gemma":0.00178692,"domain_scores_codex":[0.9985084,0.0005170654,0.00005937387,0.0002324497,0.000447492,0.0002352364],"domain_scores_gemma":[0.9765761,0.01745127,0.00190982,0.001735005,0.001405581,0.0009221563],"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":[0.0003696122,0.000088003,0.01018727,0.0002251985,0.00008316929,0.0002508565,0.0007808782,0.175938,0.01331667,0.7522195,0.003524837,0.04301601],"study_design_scores_gemma":[0.00003628343,0.0000767508,0.003540467,0.00004715762,0.0000272841,0.0002279244,0.0001405044,0.5258998,0.003359922,0.4643499,0.002253352,0.00004067994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6332224,0.0009440227,0.3558675,0.0009710126,0.00005244823,0.00004507956,0.0005527824,0.0004843764,0.007860433],"genre_scores_gemma":[0.9501809,0.0003294359,0.04601815,0.0001653157,0.0000636092,0.00005666866,0.0004469141,0.0001941643,0.002544697],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003731584,"threshold_uncertainty_score":0.01612353,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01583621775068175,"score_gpt":0.2714602099799519,"score_spread":0.2556239922292702,"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."}}