{"id":"W4406529136","doi":"10.1214/25-ecp654","title":"Adapted optimal transport between Gaussian processes in discrete time","year":2025,"lang":"en","type":"article","venue":"Electronic Communications in Probability","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Mathematics; Discrete time and continuous time; Gaussian; Gaussian process; Mathematical optimization; Applied mathematics; Statistical physics; Econometrics; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001834977,0.0009450129,0.000889059,0.001018127,0.0005547088,0.001515092,0.001306424,0.00151112,0.003201955],"category_scores_gemma":[0.004972719,0.0004885806,0.0009377277,0.0006930042,0.002389321,0.003130431,0.002624836,0.001707028,0.0004243749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002388263,"about_ca_system_score_gemma":0.001354358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003353074,"about_ca_topic_score_gemma":0.002526209,"domain_scores_codex":[0.9989749,0.0003532367,0.00005299628,0.0002517607,0.0002139962,0.0001530626],"domain_scores_gemma":[0.9983779,0.0006252334,0.000237265,0.0001477915,0.0003329611,0.0002787215],"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":[0.00004449203,0.00002302812,0.0003415474,0.00004071534,0.00002772938,0.00009648049,0.00009958469,0.1024267,0.002074264,0.8902622,0.0004910966,0.004072061],"study_design_scores_gemma":[0.00001041066,0.00003692794,0.0002784447,0.00001225548,0.000007288968,0.00004257317,0.00003345777,0.598156,0.0004860186,0.4002953,0.0006155666,0.00002572256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09816999,0.0003861085,0.892921,0.0006395095,0.0001430238,0.00003678146,0.0001412777,0.0001219083,0.007440408],"genre_scores_gemma":[0.9046243,0.0005000051,0.08016241,0.0003553666,0.0001279281,0.0001073087,0.0002097923,0.0001467709,0.01376605],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003353074,"threshold_uncertainty_score":0.0173282,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03238523652221701,"score_gpt":0.3252022387718543,"score_spread":0.2928170022496372,"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."}}