{"id":"W2607936177","doi":"10.1090/crmp/036/03","title":"Dirichlet series for squares of sums of squares: A summary","year":2004,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; Concordia University","funders":"","keywords":"Least-squares function approximation; Series (stratigraphy); Mathematics; Non-linear least squares; Total least squares; Explained sum of squares; Residual sum of squares; Applied mathematics; Statistics; Geology; Regression","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":[0.0006607285,0.000699641,0.001506865,0.0004563378,0.0001205498,0.00005560764,0.000709283,0.0008232977,0.000420364],"category_scores_gemma":[0.002741625,0.0005962388,0.0006137437,0.0001499684,0.00061888,0.0001736794,0.0002116397,0.0006553286,0.00000888636],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001634926,"about_ca_system_score_gemma":0.0003699037,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002340453,"about_ca_topic_score_gemma":0.00002860581,"domain_scores_codex":[0.9969364,0.000008600688,0.0009844151,0.000643981,0.00087245,0.0005541078],"domain_scores_gemma":[0.9955838,0.00135565,0.0009825879,0.0004005828,0.00153697,0.0001403725],"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":[0.0004908597,0.00006173593,0.00009786501,0.008500233,0.0004579262,0.000004188457,0.00216465,0.000002999032,0.002287559,0.9841034,0.0008726385,0.0009558811],"study_design_scores_gemma":[0.0005563794,0.0005847215,0.000003909217,0.002359696,0.000449208,0.00001819451,0.0001660739,0.00001078253,0.0373024,0.9517333,0.006315058,0.0005002665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.006684955,0.00486538,0.01227786,0.001621987,0.0003139853,0.004872092,0.0009853962,0.0004371793,0.9679412],"genre_scores_gemma":[0.9780287,0.0003356222,0.004042638,0.00009888224,0.0008402125,0.0001557906,0.0001127891,0.0005427634,0.0158426],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9713438,"threshold_uncertainty_score":0.9996489,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04691510969299786,"score_gpt":0.3160722048065177,"score_spread":0.2691570951135198,"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."}}