{"id":"W2553255570","doi":"10.4153/cmb-2016-080-5","title":"Characterizations of Outer Generalized Inverses","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":31,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Annihilator; Mathematics; Invertible matrix; Inverse; Order (exchange); Pure mathematics; Ring (chemistry); Decomposition; Generalized inverse; Combinatorics; Algebra over a field; Geometry; Chemistry","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0001930855,0.0000847388,0.0001489276,0.00009988728,0.00005034051,0.000030941,0.000455878,0.00004647862,0.009895564],"category_scores_gemma":[0.0001820175,0.00005626685,0.00005414271,0.0001156676,0.00007643538,0.00006595751,0.00005078594,0.00003192246,0.004546902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002989446,"about_ca_system_score_gemma":0.0001044102,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007589942,"about_ca_topic_score_gemma":0.00004799566,"domain_scores_codex":[0.9992374,0.00005296192,0.000216861,0.0001585829,0.0001063812,0.0002278195],"domain_scores_gemma":[0.9991047,0.0001371145,0.00005138272,0.0003687985,0.00005030214,0.000287731],"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":[0.000001071609,0.00001765428,0.00001369732,0.00002173992,0.000009628929,0.00001719658,0.0001747666,2.734449e-7,0.001257589,0.9802309,0.01375159,0.004503835],"study_design_scores_gemma":[0.0007939687,0.00006196293,0.0001678743,0.0002434044,0.00001550619,0.00005890016,0.00002828613,0.001551612,0.008509291,0.2581669,0.7299481,0.0004541764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02345018,0.00001635827,0.8730057,0.07442503,0.000241876,0.0002474234,0.00005822604,0.00009560493,0.02845956],"genre_scores_gemma":[0.8786533,0.00001470602,0.08490147,0.006421559,0.0001721888,0.00004524247,0.000005238826,0.00002892898,0.0297573],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8552032,"threshold_uncertainty_score":0.9962282,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01280037081628996,"score_gpt":0.2086632927101812,"score_spread":0.1958629218938913,"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."}}