{"id":"W2063194171","doi":"10.1214/08-aop439","title":"Gaussian processes, kinematic formulae and Poincaré’s limit","year":2009,"lang":"en","type":"article","venue":"The Annals of Probability","topic":"Morphological variations and asymmetry","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Limit (mathematics); Kinematics; Excursion; Gaussian process; Gaussian; Interpretation (philosophy)","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":[0.001097413,0.000113252,0.0002491381,0.00002565979,0.0000889182,0.00002166659,0.0002003906,0.00008286533,0.00007403836],"category_scores_gemma":[0.001993386,0.00006231136,0.00005946998,0.0002305873,0.00009241793,0.00009294722,0.00004954968,0.0001442377,0.000004096877],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005157585,"about_ca_system_score_gemma":0.00003152856,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008898784,"about_ca_topic_score_gemma":0.000008117081,"domain_scores_codex":[0.9990339,0.00008756394,0.0003568827,0.0001714239,0.0001673178,0.000182901],"domain_scores_gemma":[0.9987645,0.0003995189,0.0001754207,0.0004393086,0.0001660786,0.00005518211],"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":[0.00008006683,0.001248374,0.001290848,0.001452535,0.00005052727,0.000002202341,0.0008273868,0.000009451206,0.0005631773,0.9760032,0.006298886,0.01217337],"study_design_scores_gemma":[0.0001318561,0.0001766716,0.02437372,0.00005169366,0.00002162726,0.000005357681,0.0000380896,0.0001061532,0.001279033,0.9734716,0.000259376,0.00008478441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9612685,0.0003400128,0.004071955,0.02326326,0.00001899185,0.0008268225,0.00001634417,0.00007811229,0.01011599],"genre_scores_gemma":[0.9823458,0.00003303977,0.016913,0.0005668459,0.00002718707,0.00001175382,0.000001654218,0.000004686405,0.00009605045],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02308288,"threshold_uncertainty_score":0.2540984,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.167857715989402,"score_gpt":0.3629375167308639,"score_spread":0.1950798007414619,"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."}}