{"id":"W1599576919","doi":"10.37236/4080","title":"Crossings and Nestings for Arc-Coloured Permutations and Automation","year":2015,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Capilano University; Simon Fraser University","funders":"","keywords":"Bijection; Mathematics; Chen; Combinatorics; Generalization; Arc (geometry); Set (abstract data type); Series (stratigraphy); Discrete mathematics; Computer science","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":[0.001751653,0.0001530453,0.0003159302,0.00008422367,0.0002319813,0.0001015617,0.0002060684,0.00007261315,6.309477e-7],"category_scores_gemma":[0.003144962,0.0001112041,0.00005515645,0.000205344,0.0001198985,0.000263719,0.00004995794,0.0003423804,4.596148e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002429223,"about_ca_system_score_gemma":0.0003972049,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001468859,"about_ca_topic_score_gemma":0.000001405801,"domain_scores_codex":[0.9986715,0.00007779358,0.0004834083,0.0001004795,0.0003222552,0.0003445083],"domain_scores_gemma":[0.9971421,0.001261638,0.0006806313,0.0001605685,0.0006369149,0.0001180837],"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":[0.00004870232,0.00007340409,0.00004644137,0.0000566783,0.00003937717,0.000001234534,0.002723536,0.000008348978,0.0001512999,0.9957901,0.00077553,0.0002853739],"study_design_scores_gemma":[0.001971655,0.0006459597,0.00004626562,0.00004739049,0.0001425411,0.0003627009,0.000656984,0.001439091,0.000310185,0.992691,0.001566993,0.0001192563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8504282,0.001855786,0.1451349,0.001482288,0.0004366949,0.0004292895,0.000001228858,0.00004667422,0.0001848565],"genre_scores_gemma":[0.9973907,0.00009987679,0.002119816,0.0000321113,0.00009317759,0.00001188626,4.52143e-7,0.00003222342,0.0002196935],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1469625,"threshold_uncertainty_score":0.453477,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04878634793981741,"score_gpt":0.3387661524784084,"score_spread":0.289979804538591,"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."}}