{"id":"W4390366340","doi":"10.20944/preprints202312.2164.v1","title":"The Duality Principle for Multidimensional Optional Semimartingales","year":2023,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Semimartingale; Dual (grammatical number); Duality (order theory); Mathematical optimization; Mathematical economics; Mathematics; Economics; Econometrics; Computer science; Applied mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004851235,0.0007261916,0.001016281,0.00135886,0.001155713,0.003561297,0.0009627609,0.001524409,0.004464525],"category_scores_gemma":[0.006568903,0.0005364834,0.001728585,0.001188752,0.003826699,0.005562901,0.003824591,0.004989426,0.0006831543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001403026,"about_ca_system_score_gemma":0.001163273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003692936,"about_ca_topic_score_gemma":0.0002887766,"domain_scores_codex":[0.997937,0.0009721102,0.00009751292,0.0002565703,0.0005783003,0.0001584989],"domain_scores_gemma":[0.9972275,0.0017273,0.0001885885,0.0002448844,0.0003354971,0.0002762694],"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":[0.000004556614,0.000006548589,0.00002553752,0.00001138884,0.000003370754,0.00001699643,0.00003308859,0.0006230416,0.0001163154,0.9976999,0.000239671,0.001219501],"study_design_scores_gemma":[0.000007716447,0.00001014117,0.0000393658,0.00001007398,0.000002292894,0.00004789928,0.00001547247,0.01005673,0.00009668247,0.9876423,0.002066881,0.000004443064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0337455,0.001568352,0.9045656,0.002646611,0.0003686277,0.00007346438,0.0002044607,0.00006738244,0.05676001],"genre_scores_gemma":[0.738663,0.003010902,0.2307299,0.001334429,0.001327025,0.0004966193,0.0003414605,0.0002153634,0.02388132],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004851235,"threshold_uncertainty_score":0.0256561,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2525153477168807,"score_gpt":0.3664571150998824,"score_spread":0.1139417673830017,"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."}}