{"id":"W4246633071","doi":"10.1090/surv/231/07","title":"Extension and separation properties of positive definite functions","year":2018,"lang":"en","type":"book-chapter","venue":"Mathematical surveys and monographs","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Extension (predicate logic); Separation (statistics); Mathematics; Positive-definite matrix; Computer science; Statistics; Physics; Programming language","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001573282,0.0003186593,0.0005739855,0.0002103975,0.0001675669,0.00004649194,0.00006189348,0.0002911099,0.0002683999],"category_scores_gemma":[0.0006455605,0.0002480946,0.000139991,0.00006857144,0.0006058631,0.0001042411,0.0001039251,0.0001902416,0.0000391599],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002037119,"about_ca_system_score_gemma":0.00003520942,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001104708,"about_ca_topic_score_gemma":0.00004576952,"domain_scores_codex":[0.998261,0.0001679077,0.0006554154,0.0004143437,0.0003365419,0.0001648163],"domain_scores_gemma":[0.9978837,0.0009014598,0.0002808561,0.0003699862,0.0004571509,0.0001068422],"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":[0.000179277,0.0004115973,0.0001062654,0.002171591,0.0005484489,0.000003190773,0.002088571,0.000001165714,0.0009183942,0.9849678,0.002421457,0.006182266],"study_design_scores_gemma":[0.0003532841,0.0003667522,0.0007727908,0.0008830176,0.0002926956,0.00002821959,0.0001056245,0.000521876,0.0001795585,0.9954291,0.0007022944,0.0003647995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3815987,0.003537463,0.1231737,0.00059763,0.000548386,0.005041929,0.001954891,0.0004574206,0.4830899],"genre_scores_gemma":[0.7673999,0.0007612217,0.02331634,0.00009145375,0.0002883182,0.0001791603,0.000480899,0.0002953194,0.2071874],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3858013,"threshold_uncertainty_score":0.9999971,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0929287923147493,"score_gpt":0.2904221843727534,"score_spread":0.1974933920580041,"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."}}