{"id":"W2911361414","doi":"10.1017/9781108874144.003","title":"Combinatorial Enumeration","year":2024,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":980,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Enumeration; Computer science; Combinatorics; Mathematics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001461945,0.0005421404,0.0006449938,0.0002028614,0.0001660133,0.00008660965,0.000521971,0.000607205,0.000009554948],"category_scores_gemma":[0.00007088209,0.0006384212,0.0003160941,0.00001324577,0.0001582805,0.0001109285,0.0004700338,0.0008049894,0.0001055578],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004629066,"about_ca_system_score_gemma":0.0001185336,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008647459,"about_ca_topic_score_gemma":4.90801e-7,"domain_scores_codex":[0.9982365,0.00002879658,0.0003629003,0.0005720382,0.0004955338,0.0003041816],"domain_scores_gemma":[0.9981394,0.0003258385,0.0003263628,0.0008147418,0.0002309549,0.0001626583],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000042643,0.00001927545,2.258472e-8,0.0004574362,0.0001897437,0.0002680817,0.00006397953,4.077021e-7,0.0000266621,0.9628248,0.03596126,0.0001457437],"study_design_scores_gemma":[0.0005073827,0.00005667282,2.364414e-8,0.0003525045,0.0004531843,0.00001439667,0.00001438232,0.00004760777,0.0003231573,0.3239512,0.6738079,0.0004715907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0000375216,0.00009657011,0.001525769,0.00001448566,0.003455444,0.0006775183,0.0001509913,0.0005763842,0.9934653],"genre_scores_gemma":[0.0006809766,0.00003352609,0.000792429,0.00001130503,0.0006576406,0.000002009149,0.00003209544,0.0001695483,0.9976205],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.6388735,"threshold_uncertainty_score":0.9996067,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03668848444277741,"score_gpt":0.2474105894728772,"score_spread":0.2107221050300998,"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."}}