{"id":"W2465021469","doi":"10.4171/rmi/844","title":"Differential calculus on topological spaces with weak Markov structure I","year":2015,"lang":"en","type":"article","venue":"Revista Matemática Iberoamericana","topic":"advanced mathematical theories","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Differential calculus; Mathematics; Topological space; Calculus (dental); Differential (mechanical device); Markov chain; Pure mathematics; Topology (electrical circuits); Combinatorics; Physics; Medicine","routes":{"ca_aff":true,"ca_fund":true,"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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001876183,0.0004975704,0.0009297618,0.0000865634,0.0001187874,0.0001701489,0.0004270555,0.0001307416,0.0008810344],"category_scores_gemma":[0.001258912,0.0003140921,0.0001104829,0.0003749575,0.0006756111,0.0001304152,0.0001566693,0.0003724856,0.000100043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001881361,"about_ca_system_score_gemma":0.00008405247,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001232834,"about_ca_topic_score_gemma":0.000004257598,"domain_scores_codex":[0.997326,0.0002168853,0.0004944879,0.0005732132,0.0007391335,0.0006502726],"domain_scores_gemma":[0.9975317,0.0006345698,0.0002959754,0.0008981078,0.0001488954,0.0004907448],"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":[0.0003652166,0.0001727968,0.0001146501,0.0002367082,0.0001022985,0.00005946023,0.0002856343,0.0000085663,0.0001914501,0.9940754,0.002904055,0.001483759],"study_design_scores_gemma":[0.003448121,0.0030769,0.0004007261,0.0009098002,0.0006220605,0.0004004861,0.005261616,0.0006175343,0.004040516,0.9413872,0.03734528,0.002489745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8755434,0.0001965588,0.07329838,0.001950959,0.0002725734,0.001265511,0.0001235275,0.0008056327,0.04654342],"genre_scores_gemma":[0.9464725,0.00001091939,0.05096187,0.0001470076,0.0001813456,0.00003837118,0.000008469335,0.00009207856,0.00208741],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07092909,"threshold_uncertainty_score":0.9999311,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04096201656237564,"score_gpt":0.3140438566365759,"score_spread":0.2730818400742003,"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."}}