{"id":"W4388940344","doi":"10.46298/entics.12278","title":"Cartesian Differential Kleisli Categories","year":2023,"lang":"en","type":"article","venue":"Electronic Notes in Theoretical Informatics and Computer Science","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Monad (category theory); Cartesian closed category; Mathematics; Differential (mechanical device); Cartesian coordinate system; Pure mathematics; Cartesian product; Algebra over a field; Differential algebra; Discrete mathematics; Functor; Geometry; Physics","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":[0.000879892,0.0002386573,0.0002820577,0.001090236,0.001276494,0.002441369,0.0004551514,0.0004579775,0.004506763],"category_scores_gemma":[0.001492244,0.0002055181,0.0004044261,0.0007997528,0.003405772,0.004844789,0.002490561,0.001173419,0.0007049906],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001372952,"about_ca_system_score_gemma":0.0007737409,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001585345,"about_ca_topic_score_gemma":0.001638802,"domain_scores_codex":[0.9991568,0.0001189982,0.00006843626,0.0001854724,0.0003207575,0.0001494428],"domain_scores_gemma":[0.9990427,0.0002171555,0.00008446224,0.0001510052,0.0003664908,0.0001382087],"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":[0.000005723755,0.000002441702,0.0002987833,0.00001927824,0.000002410723,0.00004954356,0.0004898375,0.00007238628,0.0005287239,0.9947528,0.0007380827,0.003039925],"study_design_scores_gemma":[0.000008014855,0.00002599424,0.002115289,0.00002950707,0.00001293652,0.000943243,0.0006940931,0.001362495,0.002183229,0.8664412,0.1261635,0.00002049513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2835759,0.003617281,0.3910071,0.005077049,0.0005488865,0.000135171,0.001140068,0.001093867,0.3138047],"genre_scores_gemma":[0.9111909,0.001066464,0.03837213,0.0007520716,0.0002175682,0.0000792909,0.0003623008,0.00008614434,0.0478731],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004506763,"threshold_uncertainty_score":0.01507664,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01090246973508173,"score_gpt":0.2773178541487263,"score_spread":0.2664153844136446,"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."}}