{"id":"W4311417912","doi":"10.1103/physreve.106.064115","title":"Homology groups of embedded fractional Brownian motion","year":2022,"lang":"en","type":"article","venue":"Physical review. E","topic":"Complex Systems and Time Series Analysis","field":"Economics, Econometrics and Finance","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"","keywords":"Hurst exponent; Detrended fluctuation analysis; Fractional Brownian motion; Persistent homology; Mathematics; Embedding; Scaling; Fractal; Self-similarity; Brownian motion; Statistical physics; Mathematical analysis; Computer science; Algorithm; Statistics; Artificial intelligence; Physics; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002637984,0.00008242562,0.00053716,0.00007417864,0.0001027057,0.000006241452,0.0001536009,0.00001131394,0.004535917],"category_scores_gemma":[0.00005323729,0.00009216504,0.0003007353,0.0003579593,0.00002794266,0.00007260966,0.00009966931,0.0001249599,0.0002676068],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005527942,"about_ca_system_score_gemma":0.000007427764,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002102021,"about_ca_topic_score_gemma":0.000005564644,"domain_scores_codex":[0.9990964,0.00004049634,0.0004442753,0.0002348609,0.00005655569,0.0001274367],"domain_scores_gemma":[0.9992677,0.00003669143,0.0003735591,0.0002600413,0.00002407377,0.00003795463],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00000904929,0.0003388065,0.004061558,0.0002826104,0.0001183868,0.000001911078,0.0001089505,0.0002357855,0.0001059228,0.9885004,0.003596897,0.002639743],"study_design_scores_gemma":[0.0005590455,0.0003451017,0.03300393,0.00006840268,0.00009597335,0.00002463807,0.0001116686,0.01893327,0.00005004608,0.3075282,0.6387716,0.000508147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8255881,0.07380745,0.01299329,0.004766524,0.001133991,0.001038471,0.0008641329,0.00009526988,0.07971275],"genre_scores_gemma":[0.9984728,0.0005688493,0.00006077067,0.0002573505,0.0001261458,0.00006015066,0.00004435677,0.0000100376,0.0003995515],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6809722,"threshold_uncertainty_score":0.9963741,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02837123914798688,"score_gpt":0.2677493787722038,"score_spread":0.2393781396242169,"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."}}