{"id":"W4236721362","doi":"10.1017/s0021900200002357","title":"An urn model arising from all-optical networks","year":2006,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Complex Network Analysis Techniques","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Bell (Canada)","funders":"","keywords":"Mathematics; Independent and identically distributed random variables; Combinatorics; Factorial; Generating function; Random variable; Integer (computer science); Probability-generating function; Moment-generating function; Function (biology); Joint probability distribution; Multivariate statistics; Probability theory; Discrete mathematics; Statistics; Mathematical analysis","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":[0.0006583172,0.0001870496,0.0004382663,0.00005145465,0.0000808583,0.0001046409,0.0003346119,0.00007441088,0.0001310744],"category_scores_gemma":[0.00000220487,0.0001614406,0.0002434263,0.0001427808,0.00007975926,0.0001651209,0.00005813626,0.0004832347,0.000002301604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008059006,"about_ca_system_score_gemma":0.00006604994,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009729701,"about_ca_topic_score_gemma":0.00002132404,"domain_scores_codex":[0.9983776,0.00004444503,0.0007625651,0.0002539472,0.0002842143,0.0002772823],"domain_scores_gemma":[0.9987775,0.00009369017,0.000436665,0.0004154092,0.0001440061,0.0001327471],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002039516,0.001104225,0.02802972,0.00000455514,0.0002092023,0.000002269178,0.0001014983,0.8435753,0.004101374,0.0914847,0.001884226,0.02929896],"study_design_scores_gemma":[0.0002555023,0.00003556976,0.002565124,0.000008372335,0.0001292423,5.83581e-7,0.00002210555,0.3430678,0.00132434,0.6522266,0.0002092169,0.0001556021],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5313964,0.00001892951,0.4619374,0.00005148724,0.00002437126,0.0001084822,0.000003586426,0.00002719484,0.00643212],"genre_scores_gemma":[0.9003647,7.830176e-7,0.09851433,0.00004068383,0.001030046,0.000005720722,0.00002298785,0.00001633398,0.000004425865],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5607418,"threshold_uncertainty_score":0.6583355,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01302191408713801,"score_gpt":0.2546762482133295,"score_spread":0.2416543341261914,"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."}}