{"id":"W4296250523","doi":"10.48550/arxiv.1107.4066","title":"Chevet type inequality and norms of submatrices","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Inequality; Block matrix; Mathematics; Type (biology); Pure mathematics; Block (permutation group theory); Algebra over a field; Mathematical economics; Combinatorics; Mathematical analysis; Geology; Physics; Eigenvalues and eigenvectors","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":[0.0002654118,0.0001848295,0.0003930796,0.0001179456,0.00005579443,0.00001519116,0.0003692809,0.000214194,0.0000942999],"category_scores_gemma":[0.00006899094,0.000178429,0.0001079597,0.0003081341,0.0001002517,0.00007339786,0.0004929726,0.00024048,0.00001657834],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002895357,"about_ca_system_score_gemma":0.00005892464,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003811132,"about_ca_topic_score_gemma":0.00004416884,"domain_scores_codex":[0.9991052,0.00005300769,0.0002412085,0.000402153,0.00005134088,0.0001471425],"domain_scores_gemma":[0.9985226,0.0001975684,0.0004227188,0.0006178696,0.0001576778,0.00008160593],"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":[0.0002328542,0.0003979157,0.02617911,0.00187308,0.0002908356,0.00002063674,0.0009226102,0.0004069087,0.0001341378,0.9683305,0.0009477021,0.000263717],"study_design_scores_gemma":[0.0009744118,0.00005751089,0.007321688,0.00008950142,0.0005048667,0.000002781547,0.0002703196,0.002790207,0.0004246955,0.986614,0.0004958361,0.0004541848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9868347,0.0001150296,0.006087196,0.0000163503,0.00007824656,0.0003098074,0.00004029399,0.00006473455,0.00645366],"genre_scores_gemma":[0.9973811,0.0005888355,0.001063609,0.000007818717,0.0000362523,9.470376e-7,0.00001134182,0.00001656381,0.000893516],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01885742,"threshold_uncertainty_score":0.7276124,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2169576757045923,"score_gpt":0.2436146221504528,"score_spread":0.02665694644586053,"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."}}