{"id":"W71863754","doi":"","title":"Minimal and near-minimal critical sets in back-circulant latin squares","year":2003,"lang":"en","type":"article","venue":"Australas. J Comb.","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Latin square; Circulant matrix; Mathematics; Combinatorics; Square (algebra); Conjecture; Cardinality (data modeling); Set (abstract data type); Discrete mathematics; Geometry; 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":[0.0002233696,0.0001904008,0.0002460469,0.00008910106,0.00005372602,0.00007207706,0.00009099209,0.0001366479,0.0003331666],"category_scores_gemma":[0.00006564466,0.0001950331,0.00005118201,0.0001964311,0.0001228066,0.0001183908,0.00001423883,0.0002353316,0.0001290865],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002009002,"about_ca_system_score_gemma":0.00001382307,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001757915,"about_ca_topic_score_gemma":0.00002234746,"domain_scores_codex":[0.9988786,0.0001005881,0.0002861103,0.0002106518,0.0001240864,0.000399962],"domain_scores_gemma":[0.9994825,0.0001679933,0.00001438828,0.000184296,0.00001542911,0.0001353763],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0001531819,0.0005324367,0.5982187,0.001937278,0.0002424815,0.0009893999,0.006340283,0.005464333,0.021208,0.3477651,0.01378135,0.003367456],"study_design_scores_gemma":[0.006071781,0.0008684995,0.8623948,0.0009203847,0.0001369373,0.0009631286,0.003680824,0.02725622,0.01605615,0.01967309,0.05889659,0.003081597],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.989753,0.0002933418,0.00003240782,0.0000519509,0.0002974465,0.0001305071,0.00001323513,0.00008776212,0.009340337],"genre_scores_gemma":[0.9993836,0.000008920022,0.0003761401,0.00002402969,0.00002434592,0.00001451398,0.000004592376,0.00002711992,0.0001367193],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.328092,"threshold_uncertainty_score":0.7953221,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01791310546395555,"score_gpt":0.2411526119860299,"score_spread":0.2232395065220743,"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."}}