{"id":"W2070320953","doi":"10.1016/s0024-3795(00)00286-x","title":"Approximating commuting operators","year":2001,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Mathematics; Tuple; Operator matrix; Combinatorics; Pure mathematics; Algebra over a field; Discrete mathematics","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":[0.0003027072,0.0001162247,0.0001588445,0.00003629805,0.0003782957,0.00003732675,0.0001424652,0.00006834127,0.0001300631],"category_scores_gemma":[0.0001143139,0.0001016188,0.00003022767,0.0002038447,0.00004356479,0.00008518967,0.00007182898,0.0001565319,0.0001083187],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001030064,"about_ca_system_score_gemma":0.00001672039,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002803768,"about_ca_topic_score_gemma":0.000001997009,"domain_scores_codex":[0.9992312,0.00003953124,0.0002626088,0.0001895631,0.00009293541,0.0001842209],"domain_scores_gemma":[0.9993213,0.0002083521,0.00006437528,0.0002493544,0.00006238914,0.00009420057],"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":[0.00000333425,0.00008688742,0.0006522806,0.00004224591,0.0000198673,0.000001657682,0.0006302331,0.000002535861,0.001576101,0.9899734,0.0002814935,0.006730004],"study_design_scores_gemma":[0.002748062,0.0001890078,0.0009036253,0.0002403676,0.0002986086,0.0004153541,0.00708368,0.06157783,0.01812531,0.5562974,0.350061,0.002059715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9377811,0.0004371383,0.0401165,0.0005962148,0.00003041726,0.0006858064,0.00001434426,0.0002579124,0.0200806],"genre_scores_gemma":[0.9845125,0.00009090629,0.01374133,0.0003507487,0.0002022668,0.0001634694,0.00001255367,0.00002920358,0.0008969855],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4336759,"threshold_uncertainty_score":0.4143896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04279921642357948,"score_gpt":0.3127896149297646,"score_spread":0.2699903985061852,"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."}}