{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00112782,0.0001357212,0.0002611697,0.00006864385,0.0002428446,0.00006122646,0.0004207427,0.00007968247,0.0000466601],"category_scores_gemma":[0.0002264907,0.00008216624,0.0000782847,0.0001790365,0.0001097951,0.0002155022,0.00006584337,0.0006492717,0.000001716378],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009227019,"about_ca_system_score_gemma":0.00009251259,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001183227,"about_ca_topic_score_gemma":0.000003399783,"domain_scores_codex":[0.9986768,0.0001820901,0.0003771579,0.0000928794,0.0002794546,0.0003916615],"domain_scores_gemma":[0.99864,0.0003213078,0.0003625771,0.0003284402,0.0002463971,0.0001012589],"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":[0.00001997658,0.0000626682,0.0003022283,0.00001118423,0.00007902279,0.000002837319,0.0006441377,0.00000113949,0.000155774,0.9971101,0.00103212,0.0005788173],"study_design_scores_gemma":[0.0005554788,0.0005640549,0.0008264527,0.00001490015,0.00007257046,0.0002867156,0.0002335931,0.00007700926,0.0007645997,0.995779,0.0007202207,0.0001054166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9964792,0.0009540571,0.000655757,0.0004142797,0.0002636435,0.0001606121,3.421578e-7,0.00002060051,0.001051577],"genre_scores_gemma":[0.9988632,0.0002225887,0.00005491221,0.0001129357,0.0001135886,0.000002749759,2.213582e-7,0.00002290861,0.0006068976],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002384066,"threshold_uncertainty_score":0.3350642,"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."}}