{"id":"W4367694237","doi":"10.48550/arxiv.2305.00343","title":"Small mass limit of expected signature for physical Brownian motion","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Shanghai Jiao Tong University; National Natural Science Foundation of China; Engineering and Physical Sciences Research Council; York University","keywords":"Brownian motion; Scaling limit; Limit (mathematics); Diffusion process; Stochastic differential equation; Signature (topology); Mathematics; Tensor (intrinsic definition); Fractional Brownian motion; Mathematical analysis; Stochastic process; Statistical physics; Scaling; Physics; Pure mathematics; Geometry; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001646902,0.0007059574,0.0007578488,0.001690052,0.0007003152,0.00167588,0.001471815,0.001170327,0.003039644],"category_scores_gemma":[0.009418349,0.0002784658,0.001281686,0.0004225069,0.003031367,0.003189254,0.002004558,0.001762488,0.0003365972],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001414687,"about_ca_system_score_gemma":0.0008291324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001684154,"about_ca_topic_score_gemma":0.0008647471,"domain_scores_codex":[0.9994254,0.0001660241,0.00003507121,0.0001171298,0.0001698397,0.00008652637],"domain_scores_gemma":[0.997483,0.0008380704,0.0004104644,0.0002160124,0.0005223372,0.0005301444],"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":[0.00002201393,0.00002348754,0.0009402712,0.00005878141,0.00002042416,0.0002810207,0.0001959829,0.01036017,0.004505419,0.9814648,0.0003781125,0.00174953],"study_design_scores_gemma":[0.00001695128,0.0000512088,0.001144177,0.00003951618,0.00001790221,0.0003070676,0.0001136024,0.4075922,0.001660676,0.5879782,0.001036411,0.00004199794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4839635,0.001151484,0.4896998,0.001613248,0.0002216834,0.00008039745,0.0001386941,0.0003163455,0.02281496],"genre_scores_gemma":[0.9682653,0.0006081238,0.02171176,0.0002044517,0.0001694645,0.00008815104,0.0001263756,0.00009008859,0.008736255],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003039644,"threshold_uncertainty_score":0.01026434,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2483885867731242,"score_gpt":0.246804246145013,"score_spread":0.001584340628111247,"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."}}