{"id":"W2007879790","doi":"10.48550/arxiv.1601.06471","title":"Bilinear characterizations of companion matrices","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Bilinear interpolation; Mathematics; Type (biology); Bilinear form; Pure mathematics; Algebra over a field; Statistics; Geology","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":[0.0009340718,0.0007327421,0.0005113615,0.00216333,0.0009181743,0.002627706,0.0005743667,0.0008474152,0.0109445],"category_scores_gemma":[0.006760354,0.0003370858,0.0005473634,0.001270791,0.001925231,0.004068449,0.002525163,0.002001831,0.001806469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005125436,"about_ca_system_score_gemma":0.000454619,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000249544,"about_ca_topic_score_gemma":0.000192383,"domain_scores_codex":[0.998682,0.0002680856,0.00006480265,0.0002713751,0.0004563031,0.000257483],"domain_scores_gemma":[0.9952193,0.001285457,0.0007588001,0.0008302574,0.001161775,0.0007444962],"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":[0.00009621101,0.00005933724,0.0009522076,0.00006982159,0.0000138167,0.000232529,0.0006031859,0.003069127,0.006188568,0.9699337,0.00245126,0.0163302],"study_design_scores_gemma":[0.00001458997,0.0001118549,0.0007091392,0.00002513694,0.000008156771,0.0005766855,0.000299852,0.02759736,0.004307538,0.9580176,0.008297452,0.00003461896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2876149,0.0007728279,0.6300793,0.000819255,0.0003953016,0.0001376468,0.0005734275,0.0004711307,0.07913624],"genre_scores_gemma":[0.9596055,0.0004566957,0.02074996,0.0002875163,0.0004649737,0.00008881434,0.0003815055,0.0001488788,0.01781611],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0109445,"threshold_uncertainty_score":0.03661293,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04720691227420278,"score_gpt":0.1861619324229931,"score_spread":0.1389550201487903,"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."}}