{"id":"W4365441275","doi":"10.48550/arxiv.2304.04944","title":"Weierstrass Bridges","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Weierstrass functions; Mathematics; Brownian bridge; Fractional Brownian motion; Wiener process; Martingale (probability theory); Brownian motion; Fractal; Classical Wiener space; Stochastic process; Lévy process; Pure mathematics; Mathematical analysis; Applied mathematics; 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":[0.0009017723,0.0003810457,0.0004568062,0.001296703,0.0007950535,0.001379677,0.0007932271,0.00119038,0.003683867],"category_scores_gemma":[0.002883301,0.0002514398,0.0007408049,0.0007405487,0.001331659,0.00239591,0.001314313,0.001389283,0.0003712543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007146911,"about_ca_system_score_gemma":0.0005373691,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00070098,"about_ca_topic_score_gemma":0.0005106961,"domain_scores_codex":[0.999519,0.00006764656,0.00002007447,0.0001333779,0.0001638136,0.00009613462],"domain_scores_gemma":[0.9991215,0.0002594313,0.0001951146,0.0001452205,0.0001624409,0.0001162836],"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":[0.000008088763,0.00001037927,0.0004690847,0.00001204812,0.000009295125,0.00005480817,0.00007931847,0.007103719,0.001735793,0.986093,0.0004028094,0.004021756],"study_design_scores_gemma":[0.0000129862,0.00006240498,0.001455248,0.00001986769,0.00001584511,0.0002344117,0.00007916441,0.1506568,0.001452831,0.836056,0.009932586,0.00002188637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3408883,0.001561677,0.613499,0.000905384,0.0002592475,0.00007775407,0.0003045421,0.000209027,0.04229512],"genre_scores_gemma":[0.93747,0.0006425417,0.04458474,0.0002519591,0.0001935816,0.0001232998,0.0001480968,0.0000393591,0.0165465],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003683867,"threshold_uncertainty_score":0.01232374,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2559068014078976,"score_gpt":0.2598537132007263,"score_spread":0.003946911792828689,"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."}}