{"id":"W2963074859","doi":"10.37236/3345","title":"Repeated Columns and an Old Chestnut","year":2013,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Disjoint sets; Combinatorics; Mathematics; Conjecture; Multiplicity (mathematics); Integer (computer science); Bounded function; Family of sets; Matrix (chemical analysis); Discrete mathematics; Set (abstract data type); Geometry; Computer science","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006966013,0.001257798,0.001002594,0.001229773,0.004231296,0.003969645,0.00149672,0.001246486,0.09947661],"category_scores_gemma":[0.004212238,0.0009666143,0.001242187,0.001643286,0.003415349,0.007502961,0.003556612,0.003809902,0.04006412],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001479873,"about_ca_system_score_gemma":0.0009662533,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002009968,"about_ca_topic_score_gemma":0.003664948,"domain_scores_codex":[0.99875,0.0001919384,0.0000723157,0.0005000809,0.0002775091,0.0002082516],"domain_scores_gemma":[0.9980022,0.0004497434,0.0001604683,0.0006743677,0.0004651552,0.0002479477],"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":[0.0003421736,0.00007732199,0.0008524572,0.000290979,0.0000501026,0.001084683,0.0009392916,0.0004970185,0.007663793,0.7847033,0.143819,0.05967994],"study_design_scores_gemma":[0.00002416415,0.00009332681,0.0008087573,0.0001419295,0.00003659711,0.001426151,0.0003187486,0.001407466,0.005110669,0.3481892,0.642365,0.00007797011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03545482,0.009732758,0.2594796,0.02393876,0.02428883,0.0002423022,0.005942713,0.006427103,0.6344931],"genre_scores_gemma":[0.2464445,0.004027128,0.1523324,0.009920145,0.004697045,0.0003332958,0.00468725,0.004138283,0.57342],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.09947661,"threshold_uncertainty_score":0.3327824,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01300442809306867,"score_gpt":0.2703333824382416,"score_spread":0.2573289543451729,"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."}}