{"id":"W3055070902","doi":"10.31390/josa.1.3.03","title":"General Product Formula of Multiple Integrals of Lévy Process","year":2020,"lang":"en","type":"article","venue":"Journal of Stochastic Analysis","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Product (mathematics); Process (computing); Mathematics; Calculus (dental); Applied mathematics; Computer science; Medicine; Programming language; Geometry","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.002520703,0.0001395883,0.001138405,0.0006272327,0.00004816096,0.00003298798,0.0009187135,0.0000570644,0.0001689337],"category_scores_gemma":[0.008854476,0.00008292304,0.0008478189,0.002848529,0.000178918,0.0003864659,0.00008054367,0.0002254424,0.000004545719],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002298745,"about_ca_system_score_gemma":0.0002149804,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002245267,"about_ca_topic_score_gemma":0.00001505096,"domain_scores_codex":[0.9957441,0.0001324207,0.00198091,0.0002737496,0.00169694,0.0001718617],"domain_scores_gemma":[0.9946503,0.0006100051,0.002071609,0.0003409819,0.002130223,0.0001968596],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0006584303,0.0003724377,0.01885782,0.00006980001,0.00182758,0.000007956563,0.005896938,0.9551627,0.005706304,0.001093593,0.0003306471,0.01001576],"study_design_scores_gemma":[0.001371276,0.000921913,0.01009017,0.00008905388,0.002763061,0.00002309856,0.00339171,0.8961154,0.01315834,0.07170353,0.00005835452,0.00031407],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5649388,0.0002727555,0.433949,0.0006477231,0.00004302174,0.00007474152,0.00002450876,0.000002664104,0.00004683981],"genre_scores_gemma":[0.9944225,0.000008473758,0.005344377,0.00004384504,0.0001223163,0.000001169425,0.000001198229,0.000005671861,0.00005042638],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4294838,"threshold_uncertainty_score":0.9994944,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1189444302246864,"score_gpt":0.382444407024635,"score_spread":0.2634999767999486,"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."}}