{"id":"W3011317023","doi":"10.13001/ela.2020.5149","title":"The triangle graph $T_6$ is not SPN","year":2020,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Combinatorics; Graph; Converse; Symmetric matrix; Positive-definite matrix; Matrix (chemical analysis); Nonnegative matrix; Discrete mathematics; Eigenvalues and eigenvectors","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":[0.0006833856,0.0001432444,0.000264583,0.00005624757,0.0001242058,0.00004456576,0.000386185,0.00006377385,0.00007240376],"category_scores_gemma":[0.00006188794,0.00009828032,0.000284812,0.0003098489,0.00003476534,0.0001188217,0.00001415881,0.000666265,0.00007632568],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004351012,"about_ca_system_score_gemma":0.00008427294,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.881459e-7,"about_ca_topic_score_gemma":0.000002724364,"domain_scores_codex":[0.9986496,0.00007945718,0.0004792976,0.00008471614,0.0002501313,0.0004568145],"domain_scores_gemma":[0.9994064,0.0001163482,0.0001339785,0.0001483021,0.00006249008,0.0001324845],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.003146737,0.000278896,0.0008931156,0.0005251582,0.007507114,0.0003521994,0.01847416,0.01448401,0.1258762,0.579305,0.1603347,0.08882272],"study_design_scores_gemma":[0.003905211,0.001897009,0.0002313458,0.0001088423,0.0002498527,0.0005637276,0.001259126,0.009932821,0.1138256,0.04601482,0.821263,0.0007486827],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9468574,0.03030888,0.01053833,0.007860857,0.001403542,0.0002757843,0.000009123431,0.000189015,0.002557051],"genre_scores_gemma":[0.9976865,0.0009026168,0.00003318539,0.0004446253,0.0007807877,0.000001741732,5.124219e-7,0.000032485,0.0001175254],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6609283,"threshold_uncertainty_score":0.4007755,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008990989875618341,"score_gpt":0.1987404812043778,"score_spread":0.1897494913287595,"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."}}