{"id":"W2027519704","doi":"10.1002/qua.10777","title":"Unitarily invariant decomposition of arbitrary Hermitian matrices of physical interest","year":2003,"lang":"en","type":"article","venue":"International Journal of Quantum Chemistry","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Ministerio de Ciencia y Tecnología","keywords":"Hermitian matrix; Invariant (physics); Mathematics; Decomposition; Pure mathematics; Quantum; Algebra over a field; Mathematical physics; Quantum mechanics; Physics; Chemistry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006447275,0.0008773542,0.0004962381,0.001817152,0.0005705982,0.001755573,0.0007988228,0.0005330708,0.01004258],"category_scores_gemma":[0.001157675,0.0002441129,0.0006398156,0.0006076669,0.002003793,0.001269222,0.0009726709,0.001294421,0.001619943],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005237176,"about_ca_system_score_gemma":0.0006837591,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008340016,"about_ca_topic_score_gemma":0.000565925,"domain_scores_codex":[0.9991592,0.0001823405,0.00003910502,0.0001313531,0.0003264178,0.0001616374],"domain_scores_gemma":[0.9992381,0.0000984728,0.0001231443,0.0001112988,0.0002767961,0.0001521513],"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":[0.00003996646,0.00004174715,0.0001339399,0.00004105769,0.00001238854,0.0001193659,0.0001571793,0.00267776,0.008633007,0.9744272,0.002120845,0.01159557],"study_design_scores_gemma":[0.00002265447,0.0001510876,0.00078701,0.0000231449,0.00001224699,0.0004016251,0.0001575696,0.07177956,0.006786421,0.9065807,0.01323908,0.00005884606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2983362,0.0009648271,0.6042876,0.0006827922,0.0008069217,0.0001603459,0.000446339,0.000430364,0.09388455],"genre_scores_gemma":[0.8154969,0.000996048,0.125322,0.0005800905,0.000658172,0.0001655385,0.0007929884,0.0004641567,0.05552413],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01004258,"threshold_uncertainty_score":0.03359574,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01575960976891935,"score_gpt":0.2825048663090287,"score_spread":0.2667452565401094,"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."}}