{"id":"W2562861483","doi":"10.4086/toc.2019.v015a015","title":"","year":2019,"lang":"en","type":"article","venue":"Theory of Computing","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; National Science Foundation","keywords":"Mathematics; Gaussian measure; Combinatorics; Convex body; Regular polygon; Equivalence (formal languages); Constructive; Norm (philosophy); Sequence (biology); Distribution (mathematics); Discrete mathematics; Gaussian; Convex optimization; Computer science; Mathematical analysis; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003552544,0.0001366817,0.0004635257,0.00005369862,0.00005378663,0.00001215137,0.0002901538,0.0000472365,0.0001344991],"category_scores_gemma":[0.003339501,0.0001143469,0.00008112837,0.0001421877,0.0001135442,0.00004210229,0.000156548,0.0001542034,0.000008508114],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001069823,"about_ca_system_score_gemma":0.00001987283,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003833209,"about_ca_topic_score_gemma":1.47643e-7,"domain_scores_codex":[0.9981705,0.0005797883,0.0005265269,0.0002090782,0.0002296421,0.0002844927],"domain_scores_gemma":[0.983771,0.01538189,0.0002821136,0.0003862132,0.0001164222,0.0000623212],"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":[0.00005613573,0.00005305067,0.00366554,0.0001780148,0.0000217404,9.384689e-7,0.001717438,0.00003685815,0.005586267,0.9346825,0.000003345423,0.05399811],"study_design_scores_gemma":[0.0004274126,0.0001692575,0.01214723,0.0002048229,0.00001783863,0.000005272935,0.0007863259,0.007738969,0.008590828,0.969771,0.000002919902,0.0001381292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5403888,0.000008697276,0.4566219,0.00001429338,0.00008859847,0.0001124028,0.000001239471,0.00004298984,0.002721179],"genre_scores_gemma":[0.6165235,2.728534e-7,0.3833637,0.0000488935,0.00002589897,3.974578e-7,1.641035e-7,0.000009889483,0.00002730259],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07613474,"threshold_uncertainty_score":0.4662932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07994249218843967,"score_gpt":0.3770214135503005,"score_spread":0.2970789213618608,"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."}}