{"id":"W4404166821","doi":"10.1109/cdc56724.2024.10886079","title":"A vector almost-supermartingale convergence theorem and its applications","year":2024,"lang":"en","type":"article","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Mila - Quebec Artificial Intelligence Institute; Group for Research in Decision Analysis; HEC Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Convergence (economics); Applied mathematics; Computer science; Mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000292186,0.00008048344,0.00008428114,0.00003195906,0.00009427776,0.00005672561,0.00007914152,0.0000384191,0.001052111],"category_scores_gemma":[0.0001175686,0.00006123054,0.00002663755,0.0001410034,0.00005564498,0.000176452,0.00002993032,0.00007490411,0.0002526852],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009707324,"about_ca_system_score_gemma":0.00002326979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001103136,"about_ca_topic_score_gemma":0.000001783467,"domain_scores_codex":[0.9994547,0.00003368688,0.0001400325,0.0001718197,0.00008674177,0.0001130118],"domain_scores_gemma":[0.9993706,0.0004022617,0.00001974372,0.0001228453,0.00003299868,0.00005153886],"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":[0.000001885865,0.00001113522,0.00001471829,0.0001363602,0.00001092828,0.000001660367,0.000940881,2.584377e-7,0.006592625,0.9907925,0.0005617351,0.0009353756],"study_design_scores_gemma":[0.0000561134,0.0000179766,0.00001324144,0.00004310252,0.00002326144,0.00002981859,0.0008704311,0.01126746,0.0281002,0.9494914,0.009939598,0.0001473795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6516188,0.003957465,0.1994472,0.005554043,0.0003442283,0.001931174,0.00006054075,0.001948511,0.1351381],"genre_scores_gemma":[0.989562,0.00004278826,0.003374986,0.00008937799,0.00005755033,0.0001222712,0.000002463159,0.00001261654,0.006735912],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3379433,"threshold_uncertainty_score":0.9998611,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03896813080991007,"score_gpt":0.3230991195441186,"score_spread":0.2841309887342085,"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."}}