{"id":"W3119222878","doi":"10.1515/agms-2020-0122","title":"Remarks on Manifolds with Two-Sided Curvature Bounds","year":2021,"lang":"en","type":"preprint","venue":"Analysis and Geometry in Metric Spaces","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Curvature; Mathematics; Pure mathematics; Geology; Geometry; Mathematical analysis","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","bibliometrics","scholarly_communication"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.002491715,0.001014374,0.003152165,0.01507557,0.0002033661,0.00125639,0.0006983468,0.0009393554,0.0007757363],"category_scores_gemma":[0.002596264,0.0007556446,0.001094855,0.04351474,0.0001195444,0.0001973697,0.0006622156,0.002156518,0.000007451517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001934867,"about_ca_system_score_gemma":0.0001555817,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001936059,"about_ca_topic_score_gemma":0.006466122,"domain_scores_codex":[0.9939711,0.0004363034,0.00114407,0.001892885,0.001763216,0.0007923862],"domain_scores_gemma":[0.9941598,0.002081272,0.001062635,0.001884264,0.0005166811,0.0002953416],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0003149372,0.002913865,0.8838819,0.001638913,0.05777944,0.001414333,0.001730421,0.01532654,0.00004609446,0.009343182,0.006737071,0.01887328],"study_design_scores_gemma":[0.006411079,0.001231954,0.8243327,0.002770633,0.08711478,0.00008831036,0.01514918,0.01985722,0.0006396627,0.02903471,0.005407972,0.007961813],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9770021,0.01045278,0.007000358,0.0005415171,0.0002294792,0.0003826079,0.00003871513,0.00008211347,0.004270282],"genre_scores_gemma":[0.9837152,0.002328512,0.01095857,0.0002412444,0.0002377589,0.00006139452,0.0003474076,0.00007122704,0.002038739],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05954924,"threshold_uncertainty_score":0.9997804,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01716882935490562,"score_gpt":0.2951069746496738,"score_spread":0.2779381452947682,"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."}}