{"id":"W3096725197","doi":"10.1002/rsa.20966","title":"A probabilistic approach to the leader problem in random graphs","year":2020,"lang":"en","type":"article","venue":"Random Structures and Algorithms","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Coalescent theory; Multiplicative function; Mathematics; Probabilistic logic; Random graph; Jump; Combinatorics; Brownian motion; Fixation (population genetics); Statistical physics; Graph; Discrete mathematics; Statistics; Mathematical analysis; Physics; Phylogenetic tree","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":[0.0003173471,0.0002420777,0.0005097592,0.00004420073,0.0001304182,0.00009334124,0.0002405721,0.0000825363,0.00002240952],"category_scores_gemma":[0.001289872,0.0001390022,0.0000716377,0.0003559602,0.00006841751,0.00004130227,0.00008997809,0.000280211,0.000003091749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001152739,"about_ca_system_score_gemma":0.00003778417,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001851861,"about_ca_topic_score_gemma":0.000008412118,"domain_scores_codex":[0.9984773,0.00008210559,0.0003867214,0.000417515,0.0002897092,0.0003466489],"domain_scores_gemma":[0.9987423,0.0007538648,0.00007361249,0.0001738268,0.00005433413,0.0002020603],"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":[0.001352769,0.00008834481,0.000008837829,0.0008241922,0.00007855369,0.00001513658,0.00694884,0.0006940117,0.00005562887,0.9583242,0.002017776,0.02959169],"study_design_scores_gemma":[0.008806947,0.0001577335,0.00005513672,0.00004455576,0.00007739141,0.00003490164,0.0005962283,0.08453923,0.00002902184,0.9044518,0.0009203458,0.0002866574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00456181,0.0005711677,0.9880518,0.003059611,0.0001203734,0.002285786,0.0000682669,0.00008155442,0.001199579],"genre_scores_gemma":[0.8130562,0.00004184067,0.1846609,0.001494211,0.0002849928,0.0003409211,0.00001017097,0.00005220419,0.00005853204],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8084944,"threshold_uncertainty_score":0.5668344,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04210158241935277,"score_gpt":0.2814123518319571,"score_spread":0.2393107694126043,"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."}}