{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008814842,0.0003188517,0.0006139681,0.0000827437,0.0004262541,0.0002609216,0.001366526,0.0001665337,0.00004184584],"category_scores_gemma":[0.00006314014,0.000193957,0.0002670352,0.0001479932,0.0001410923,0.00006944416,0.001568055,0.0006786641,1.916196e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002009225,"about_ca_system_score_gemma":0.0001144933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001445772,"about_ca_topic_score_gemma":0.00001913302,"domain_scores_codex":[0.9977466,0.0004689692,0.0004646399,0.0006280363,0.0003899461,0.000301815],"domain_scores_gemma":[0.9978384,0.0006233397,0.000369077,0.001001697,0.00006605794,0.00010146],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008697662,0.00001306657,0.00002593122,0.00006027249,0.0001223329,0.00001370035,0.0005589384,0.0001022786,0.00007083295,0.05780926,0.0009019788,0.9402344],"study_design_scores_gemma":[0.003204791,0.0001277905,0.001320302,0.00005742123,0.00007255973,0.00003714818,0.00004549544,0.06810765,0.000734155,0.8854703,0.0402665,0.0005558662],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002293127,0.008226492,0.9848307,0.0008084192,0.002132051,0.0004654797,0.00005797066,0.00006366962,0.00112208],"genre_scores_gemma":[0.05939795,0.005538359,0.9330029,0.0002838719,0.0005964222,0.0001335886,0.00002651665,0.00004404803,0.0009763344],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9396785,"threshold_uncertainty_score":0.7909335,"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."}}