{"id":"W4365140412","doi":"10.1016/j.jcta.2023.105756","title":"Balancing permuted copies of multigraphs and integer matrices","year":2023,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Permutation (music); Permutation matrix; Graph; Discrete mathematics; Integer (computer science); Integer matrix; Matrix (chemical analysis); Symmetric matrix; Computer science; Nonnegative matrix; Eigenvalues and eigenvectors","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":[0.001031209,0.00013148,0.0003729383,0.0002833508,0.00005407894,0.00003176266,0.0001590251,0.00007955464,0.00002713301],"category_scores_gemma":[0.00012419,0.0001084186,0.0001146154,0.0004113478,0.0001072252,0.0003048162,0.00002877511,0.0001813342,0.000002703268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001280411,"about_ca_system_score_gemma":0.00001502925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001785487,"about_ca_topic_score_gemma":7.077012e-7,"domain_scores_codex":[0.9990027,0.0001253353,0.0004663161,0.0000618266,0.000185722,0.0001580892],"domain_scores_gemma":[0.9992189,0.000292725,0.0001836444,0.0001102764,0.0001258936,0.00006852997],"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":[0.001100508,0.00005537806,0.004028273,0.0008086719,0.0006541177,0.00009651297,0.008424527,0.001143019,0.0479853,0.9315302,0.001946008,0.002227425],"study_design_scores_gemma":[0.003574482,0.0009780689,0.005426404,0.0009770205,0.0001838884,0.0005113829,0.01789542,0.0006284958,0.04437289,0.9115024,0.01336567,0.0005838837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9927717,0.00163156,0.000100435,0.00001990182,0.004694972,0.00006936178,0.000006583504,0.00008206545,0.0006233784],"genre_scores_gemma":[0.9992529,0.0004176741,0.00004003345,0.000003580162,0.0002086349,0.000002071989,8.092551e-7,0.00001984054,0.00005449634],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02002785,"threshold_uncertainty_score":0.4421183,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004570448008635809,"score_gpt":0.1975389198977131,"score_spread":0.1929684718890773,"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."}}