{"id":"W2069015004","doi":"10.1108/03684920610662430","title":"Formal calculus for real‐valued fractional Brownian motions prospects in systems science","year":2006,"lang":"en","type":"article","venue":"Kybernetes","topic":"Complex Systems and Time Series Analysis","field":"Economics, Econometrics and Finance","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fractional Brownian motion; Fractional calculus; Fractal; Stochastic calculus; Mathematics; Generalization; Calculus (dental); Applied mathematics; Notation; Computer science; Brownian motion; Mathematical analysis; Differential equation","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":[],"consensus_categories":[],"category_scores_codex":[0.000545102,0.0001181412,0.0003133533,0.000378608,0.0002513091,0.0001763222,0.0001900838,0.00005305601,0.0001342477],"category_scores_gemma":[0.00005357353,0.0001300678,0.0001137521,0.0006336194,0.0000933101,0.0004711589,0.00004105167,0.00006455073,0.000116451],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002252012,"about_ca_system_score_gemma":0.00003964048,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0240372,"about_ca_topic_score_gemma":0.001986405,"domain_scores_codex":[0.9985555,0.000005815319,0.0005743387,0.0003818332,0.00006851352,0.0004140059],"domain_scores_gemma":[0.999373,0.00002971006,0.0002397488,0.0002317161,0.000069349,0.00005646365],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000003494398,0.00005046569,0.0396192,0.0000240047,0.00001181962,7.166457e-7,0.00004475118,0.002202159,0.00004195883,0.9573975,0.0005448423,0.00005911355],"study_design_scores_gemma":[0.001236603,0.0001211851,0.3272344,0.00004245323,0.00001577938,0.00001205594,0.0002496185,0.4385683,0.00007741639,0.1847574,0.04711462,0.000570157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5400304,0.003624913,0.01037365,0.000649704,0.001518607,0.001796488,0.0006453144,0.0001735226,0.4411874],"genre_scores_gemma":[0.994068,0.0000090885,0.0004474849,0.0000132787,0.000233913,0.000121479,0.00002942025,0.00001438387,0.005062895],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.77264,"threshold_uncertainty_score":0.9824618,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02127156283164607,"score_gpt":0.2221497883573945,"score_spread":0.2008782255257484,"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."}}