{"id":"W4376256304","doi":"10.1142/s2010326323500077","title":"Matrix deviation inequality for ℓp-norm","year":2023,"lang":"en","type":"article","venue":"Random Matrices Theory and Application","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Gaussian; Lemma (botany); Combinatorics; Random matrix; Matrix norm; Matrix (chemical analysis); Norm (philosophy); Pure mathematics; Discrete mathematics; Physics; Eigenvalues and eigenvectors; Quantum mechanics","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":[0.006063129,0.001543582,0.001382648,0.002211086,0.001216092,0.003568016,0.002224213,0.001921688,0.009844877],"category_scores_gemma":[0.03045846,0.0004561539,0.001512654,0.002235072,0.003978697,0.007498045,0.004453931,0.007130973,0.002813141],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002561287,"about_ca_system_score_gemma":0.001493419,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001987702,"about_ca_topic_score_gemma":0.001401586,"domain_scores_codex":[0.9946849,0.001549104,0.0002814804,0.001025347,0.001990381,0.0004688167],"domain_scores_gemma":[0.9816138,0.01207909,0.0009956094,0.001146115,0.003463427,0.0007019418],"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":[0.00003331877,0.0000179762,0.0002953438,0.000141691,0.0000267709,0.000107464,0.000115315,0.008702669,0.001129233,0.97544,0.004440113,0.009550113],"study_design_scores_gemma":[0.000009349116,0.00003942632,0.0003442781,0.00006375091,0.00001211266,0.0001561137,0.0000499871,0.1054477,0.0007461177,0.8855515,0.007551298,0.00002840879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0118325,0.004806605,0.9298385,0.005035703,0.0008326695,0.00006908199,0.0007951854,0.0002346022,0.04655514],"genre_scores_gemma":[0.6332998,0.01568155,0.2819107,0.007492064,0.004720268,0.001203808,0.00283905,0.0009839023,0.05186875],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009844877,"threshold_uncertainty_score":0.03293437,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02701234051848965,"score_gpt":0.3586005184239501,"score_spread":0.3315881779054605,"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."}}