{"id":"W24655012","doi":"10.1080/13825585.2014.898735","title":"Weak Exponent of Indecomposability of an Irreducible Boolean Matrix.","year":2001,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Exponent; Discrete mathematics; Pure mathematics; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003312773,0.0001355223,0.0002821767,0.00009013166,0.00005307272,0.00002058944,0.0008801924,0.00006522368,0.00002974054],"category_scores_gemma":[0.00004452572,0.0001278781,0.0000828784,0.0004599343,0.00009831727,0.0005776361,0.0002276411,0.0001151819,0.00001151484],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003585401,"about_ca_system_score_gemma":0.00005812095,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005221373,"about_ca_topic_score_gemma":0.000003851564,"domain_scores_codex":[0.9986129,0.00009581531,0.0003910222,0.0003640181,0.0002874869,0.0002486924],"domain_scores_gemma":[0.998494,0.00008698824,0.0001998183,0.0009897865,0.0001122195,0.0001171752],"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":[0.00002489455,0.0006995223,0.009152514,0.00002554665,0.00001341337,0.00001007564,0.0004199337,0.0002055403,0.003502826,0.976971,0.00008637514,0.008888394],"study_design_scores_gemma":[0.0007913721,0.0004819141,0.02349292,0.00002099105,0.000006266244,0.00001803743,0.00009947897,0.002631917,0.01568134,0.9558511,0.0007269983,0.0001976741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9926056,0.0001330456,0.003438085,0.0001373881,0.0008279319,0.0001462404,0.00000168245,0.00008266703,0.002627398],"genre_scores_gemma":[0.9927223,0.00001516563,0.007140499,0.00002174327,0.000005939861,0.000005750523,0.000002439791,0.000007783885,0.00007843393],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02111987,"threshold_uncertainty_score":0.5214716,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01592135715457624,"score_gpt":0.2747183893652214,"score_spread":0.2587970322106452,"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."}}