{"id":"W1977507469","doi":"10.1103/physreve.76.047202","title":"Gaussian point processes and two-by-two random matrix theory","year":2007,"lang":"en","type":"article","venue":"Physical Review E","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Northern Digital (Canada)","funders":"","keywords":"Random matrix; Gaussian; Mathematics; Eigenvalues and eigenvectors; Point process; Matrix (chemical analysis); Gaussian random field; Random function; Gaussian process; Statistical physics; Statistics; Mathematical analysis; Random field; Physics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008433756,0.000155271,0.000449593,0.00001819682,0.00008671757,0.0000300214,0.0001372529,0.00002015771,0.00005578421],"category_scores_gemma":[0.000463888,0.0001046297,0.0001014524,0.0002677957,0.00005785597,0.00008590832,0.00004204997,0.0001546478,0.00007574862],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001154042,"about_ca_system_score_gemma":0.00001898732,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000588357,"about_ca_topic_score_gemma":0.000004054612,"domain_scores_codex":[0.9990287,0.00005907941,0.0003034333,0.0002162012,0.0001751316,0.0002174301],"domain_scores_gemma":[0.9980039,0.001413433,0.0001469941,0.0002608703,0.0000567601,0.0001180495],"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":[0.000117031,0.0005345706,0.00002756955,0.007826879,0.00006118609,0.00000392564,0.0002615885,2.714298e-7,0.001464854,0.9306683,0.01463785,0.044396],"study_design_scores_gemma":[0.002923314,0.00003464565,0.00001869403,0.001083048,0.0003478718,0.00001499567,0.00003904358,0.00005460062,0.00137923,0.9548349,0.03898737,0.0002822982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"review","genre_gemma":"empirical","genre_scores_codex":[0.2168017,0.4104668,0.2441282,0.01164914,0.0001579811,0.008756331,0.0001103106,0.0008020715,0.1071275],"genre_scores_gemma":[0.977038,0.01780042,0.002990207,0.0008674299,0.0003942647,0.0001770184,0.00001130467,0.00004490771,0.0006764907],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7602363,"threshold_uncertainty_score":0.4266677,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02029838188965459,"score_gpt":0.3810363427288165,"score_spread":0.3607379608391619,"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."}}