{"id":"W4416143141","doi":"10.1214/25-ecp730","title":"Convergence rate of the solution of multi-marginal Schrödinger bridge problem with marginal constraints from SDEs","year":2025,"lang":"","type":"article","venue":"Electronic Communications in Probability","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Stochastic differential equation; Marginal distribution; Constant (computer programming); Work (physics); Convergence (economics); Rate of convergence; Stochastic process; Diffusion; Weak convergence","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001645194,0.0002910171,0.0007295462,0.0002098846,0.0003728172,0.00003238709,0.002152236,0.0002013346,0.00008960512],"category_scores_gemma":[0.0004729948,0.0002919746,0.0001776149,0.0019568,0.002625554,0.0001985837,0.0006957236,0.0008414051,0.000009104269],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007022876,"about_ca_system_score_gemma":0.001579437,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00351313,"about_ca_topic_score_gemma":0.005241737,"domain_scores_codex":[0.9968616,0.0001309495,0.001703792,0.0006765884,0.00007503104,0.0005519866],"domain_scores_gemma":[0.9949405,0.0005149582,0.001273182,0.00285399,0.0003732222,0.00004415838],"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":[0.0001265224,0.00128386,0.1103663,0.000238528,0.000124671,4.97453e-8,0.0004888906,0.0001905633,0.0002465621,0.8825824,0.00001167225,0.004339995],"study_design_scores_gemma":[0.001508793,0.0001334334,0.4274297,0.0005291313,0.00008086089,0.000001364891,0.00008472255,0.01461237,0.0006767836,0.5532836,0.00134616,0.0003130877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.293142,0.0252976,0.6677268,0.00588071,0.0002152255,0.00362522,0.001036043,0.00003070282,0.003045638],"genre_scores_gemma":[0.9833946,0.001490935,0.01449225,0.00004565037,0.000009398133,0.0004383513,0.0000341779,0.00001526025,0.00007933049],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6902526,"threshold_uncertainty_score":0.9999532,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03443517616518964,"score_gpt":0.2632213398510554,"score_spread":0.2287861636858658,"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."}}