{"id":"W2057460654","doi":"10.1007/bf02987000","title":"Noncommutative geometric means","year":2006,"lang":"en","type":"article","venue":"The Mathematical Intelligencer","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Noncommutative geometry; Mathematics; Computer science; Pure mathematics; Algebra over a field","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00103668,0.0002782825,0.0004201504,0.0001068977,0.0002928956,0.0001104154,0.0007144852,0.0001014409,0.004744476],"category_scores_gemma":[0.000825646,0.0001579847,0.0002238291,0.0008017849,0.0003887444,0.00008584216,0.0001712296,0.000311338,0.001503366],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006246207,"about_ca_system_score_gemma":0.00002419545,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004490167,"about_ca_topic_score_gemma":0.00001372691,"domain_scores_codex":[0.9977533,0.0001267096,0.0008460649,0.0002687617,0.000534148,0.0004709736],"domain_scores_gemma":[0.9937547,0.004959376,0.0001958737,0.0008456591,0.000149528,0.00009482759],"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":[0.000004964702,0.0003128491,0.000004214238,0.0001063455,0.00002850247,0.000001651684,0.0005969923,0.00001300698,0.00003929313,0.9838932,0.01378084,0.001218201],"study_design_scores_gemma":[0.00007047166,0.00003686142,0.00001313468,0.00005293751,0.00007200415,0.0000215228,0.0009662942,0.003812904,0.003015212,0.9874412,0.004273993,0.0002235037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01688405,0.00009720102,0.7835709,0.002131769,0.00005693468,0.0006708517,0.00001969398,0.0002428347,0.1963258],"genre_scores_gemma":[0.9164191,0.00001728314,0.06292044,0.0003691884,0.0003831085,0.000460856,0.000008913774,0.0000840035,0.01933712],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8995351,"threshold_uncertainty_score":0.9992741,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1218003623723726,"score_gpt":0.3795879845005045,"score_spread":0.2577876221281319,"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."}}