{"id":"W7062249554","doi":"","title":"Skew-product decompositions of Brownian motions on manifolds:A probabilistic aspect of the Lichnerowics-Szabo theorem","year":2002,"lang":"en","type":"article","venue":"","topic":"Advanced Power Generation Technologies","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Probabilistic logic; Brownian motion; Stochastic process; Noise (video)","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":[0.00004707716,0.0001289983,0.0001465265,0.00009838733,0.00007092369,0.000008433939,0.0002814875,0.0000555927,0.0003293721],"category_scores_gemma":[0.0001003343,0.00009438462,0.00007770021,0.0003631061,0.0001322624,0.00006767645,0.00004228634,0.0001382676,0.00002954269],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004662674,"about_ca_system_score_gemma":0.000005175915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000394551,"about_ca_topic_score_gemma":0.00003132521,"domain_scores_codex":[0.9992754,0.0000200699,0.0002684259,0.0001515059,0.0001394237,0.0001451276],"domain_scores_gemma":[0.9991534,0.00004857063,0.00005175284,0.0006621877,0.00006341172,0.00002069882],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000002029333,0.0002179984,0.0002440283,0.00008649339,0.00005971091,7.805828e-7,0.0003134729,0.232954,0.0831051,0.6742492,0.004799698,0.003967469],"study_design_scores_gemma":[0.0002909966,0.0001411066,0.004399384,0.00008410597,0.00004600734,0.00001232623,0.000143229,0.02920728,0.9210264,0.04289508,0.001433017,0.0003210667],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6934528,0.0009867825,0.1243935,0.003132297,0.001187696,0.001617926,0.0001729715,0.002684718,0.1723712],"genre_scores_gemma":[0.9907079,0.00004312729,0.00858329,0.00002222797,0.00002792218,0.00002408715,0.000002824746,0.00002251732,0.0005660612],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8379213,"threshold_uncertainty_score":0.3848893,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01438435724483147,"score_gpt":0.2067058837308004,"score_spread":0.192321526485969,"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."}}