{"id":"W4376644826","doi":"10.1080/03081087.2023.2212317","title":"Real Schur norms and Hadamard matrices","year":2023,"lang":"en","type":"article","venue":"Linear and Multilinear Algebra","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Mount Allison University; University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hadamard transform; Mathematics; Schur product theorem; Algebra over a field; Hadamard product; Pure mathematics; Computer science; Schur complement; Schur decomposition; Physics; Mathematical analysis; Eigenvalues and eigenvectors","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002062094,0.0001642306,0.0001969016,0.0001292145,0.00009843896,0.0000469281,0.00007681474,0.0001053925,0.00002281719],"category_scores_gemma":[0.00001828976,0.0001414921,0.00004309031,0.0002624811,0.00005772988,0.0001177976,0.00004773376,0.0001397566,0.000165393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005094704,"about_ca_system_score_gemma":0.000005151292,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003961531,"about_ca_topic_score_gemma":0.00001287481,"domain_scores_codex":[0.9992191,0.00002175098,0.0001945572,0.0002000721,0.000106247,0.0002582802],"domain_scores_gemma":[0.9996015,0.00007073388,0.00001841918,0.0001633667,0.00001991185,0.0001260009],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0008359557,0.0004158364,0.1963092,0.01033331,0.002328118,0.001041432,0.02653421,0.01595359,0.2163701,0.080674,0.03635838,0.4128459],"study_design_scores_gemma":[0.002726765,0.0001812689,0.06621354,0.0001849736,0.0001082313,0.00009815511,0.00155158,0.8301646,0.01182561,0.002251305,0.08343164,0.001262403],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9963202,0.0006091884,0.00006908157,0.00003463807,0.0003264671,0.0001392061,0.00002519636,0.0007373485,0.001738671],"genre_scores_gemma":[0.9966354,0.001792681,0.0004400237,0.0000210031,0.0002467786,0.00001368671,0.00002692134,0.00004031343,0.0007832259],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.814211,"threshold_uncertainty_score":0.5769882,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008597101368412189,"score_gpt":0.2230587375097344,"score_spread":0.2144616361413222,"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."}}