{"id":"W2243597719","doi":"","title":"Some comments on several matrix inequalities with applications to canonical correlations: Historical background and recent developments","year":2002,"lang":"en","type":"article","venue":"ANU Open Research (Australian National University)","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Majorization; Matrix (chemical analysis); Inequality; Rank (graph theory); Pure mathematics; Product (mathematics); Mathematical economics; Combinatorics; Algebra over a field; Calculus (dental); 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007009495,0.0001644763,0.0002307743,0.0003201441,0.0006440172,0.0001975323,0.0006103924,0.00009443903,0.0007125899],"category_scores_gemma":[0.0001809338,0.0001561453,0.00002896388,0.0009229996,0.0001268418,0.0003966729,0.0003470586,0.0003520976,0.0002229974],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001334572,"about_ca_system_score_gemma":0.000160446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002686151,"about_ca_topic_score_gemma":0.00008404964,"domain_scores_codex":[0.9977519,0.0002136996,0.0003032529,0.0004025672,0.0009369563,0.0003916524],"domain_scores_gemma":[0.9975861,0.001135113,0.00008118212,0.0002772285,0.000569684,0.0003507223],"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":[0.00004411584,0.0003799187,0.00007739908,0.00003377435,0.00004035649,0.000005856916,0.0002414716,0.00001049132,0.000005384734,0.8647313,0.1342131,0.000216837],"study_design_scores_gemma":[0.0009902911,0.000209047,0.0003109867,0.00008976766,0.00001807475,0.00001142449,0.001364708,0.0001190128,0.00002905715,0.1395606,0.8569866,0.0003104089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.1743923,0.0001285172,0.01742691,0.2744406,0.0002521444,0.01934632,0.001559711,0.0004822075,0.5119713],"genre_scores_gemma":[0.1764571,0.0002776079,0.06808993,0.00106314,0.000260891,0.000400551,0.0001746762,0.00006811028,0.753208],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.7251707,"threshold_uncertainty_score":0.7802359,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.5352541289563927,"score_gpt":0.4574118293043793,"score_spread":0.07784229965201334,"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."}}