{"id":"W4206819046","doi":"10.1016/s0024-3795(04)00037-0","title":"The spectral radius of a multivariate sampling operator","year":2004,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal College of Physicians and Surgeons of Canada; Mount Royal University","funders":"","keywords":"Mathematics; Combinatorics; Spectral radius; Operator (biology); Integer (computer science); Hilbert space; Matrix (chemical analysis); RADIUS; Polynomial; Multivariate statistics; Natural number; Function (biology); Discrete mathematics; Pure mathematics; Mathematical analysis; Eigenvalues and eigenvectors; Statistics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003378483,0.0009087533,0.00130751,0.002025751,0.0008051724,0.002511916,0.001526142,0.001611941,0.005167429],"category_scores_gemma":[0.02239197,0.000600089,0.0005602394,0.001166942,0.003782846,0.004798242,0.003099682,0.00160193,0.0008916083],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009379708,"about_ca_system_score_gemma":0.0009226745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006828578,"about_ca_topic_score_gemma":0.0003613635,"domain_scores_codex":[0.9972827,0.001252952,0.00009356692,0.0004679035,0.000696591,0.0002063139],"domain_scores_gemma":[0.9852178,0.009789192,0.001449474,0.001173491,0.001308683,0.001061292],"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":[0.0002346301,0.00005025126,0.0006990826,0.0001206811,0.00004577576,0.000104872,0.0002056681,0.02493528,0.009616215,0.9425294,0.001743434,0.01971478],"study_design_scores_gemma":[0.00003026266,0.00006736962,0.0009822323,0.00004260432,0.00002910151,0.0004384835,0.0001302319,0.3823134,0.004883522,0.6073769,0.003631824,0.0000741227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1104978,0.0009538698,0.874247,0.001208608,0.0001545701,0.0000357596,0.0001657947,0.0004214338,0.01231524],"genre_scores_gemma":[0.9094877,0.001344864,0.07877587,0.0004233442,0.0006204476,0.0001047209,0.0001899228,0.0004449444,0.008608195],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005167429,"threshold_uncertainty_score":0.01786733,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01488357506016921,"score_gpt":0.2672898182490719,"score_spread":0.2524062431889028,"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."}}