{"id":"W2344140520","doi":"10.1515/spma-2016-0014","title":"On the cardinality of complex matrix scalings","year":2016,"lang":"en","type":"article","venue":"Special Matrices","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph","funders":"","keywords":"Cardinality (data modeling); Upper and lower bounds; Mathematics; Conjecture; Combinatorics; Matrix (chemical analysis); Discrete mathematics; Computer science; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005455638,0.0006192927,0.001917987,0.002774899,0.002784688,0.004044347,0.001761743,0.001574908,0.005446272],"category_scores_gemma":[0.04296228,0.0008492403,0.001005789,0.001310673,0.00630176,0.006118421,0.003772126,0.003094291,0.0005132403],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001131672,"about_ca_system_score_gemma":0.000725278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005477421,"about_ca_topic_score_gemma":0.0003078704,"domain_scores_codex":[0.9945624,0.001937647,0.0003462697,0.001031876,0.00143037,0.0006913519],"domain_scores_gemma":[0.9304672,0.04968235,0.004892187,0.007876719,0.003281162,0.003800428],"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":[0.0003149461,0.00006778056,0.00484513,0.0001570211,0.00005028192,0.0002682768,0.0003946559,0.01341491,0.004932837,0.9647978,0.004460409,0.006295938],"study_design_scores_gemma":[0.00006416046,0.00009464349,0.002690359,0.00008013322,0.00002256279,0.0005661533,0.0001934253,0.1492951,0.003035197,0.8403114,0.003579434,0.00006735729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8544962,0.001195726,0.1052472,0.004592661,0.0003503276,0.00007588037,0.001473966,0.0003926141,0.03217544],"genre_scores_gemma":[0.989014,0.0003656409,0.008194721,0.0002288445,0.0004039764,0.00009348144,0.0003689564,0.00006494374,0.001265479],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005455638,"threshold_uncertainty_score":0.02885252,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06550052626739573,"score_gpt":0.3441745277099986,"score_spread":0.2786740014426029,"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."}}