{"id":"W4225874005","doi":"","title":"Quot-scheme limit of Fubini-Study metrics and its applications to balanced metrics","year":2021,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fubini's theorem; Scheme (mathematics); Limit (mathematics); Computer science; Mathematics; Pure mathematics; Mathematical analysis","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":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.02183621,0.0003949004,0.000934133,0.001093071,0.0003937956,0.0008052433,0.0030128,0.0003704407,0.0001376135],"category_scores_gemma":[0.03087068,0.0003677194,0.0002942147,0.004832411,0.000189216,0.000249399,0.004719255,0.0007334678,0.00005145972],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001199046,"about_ca_system_score_gemma":0.000512987,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005034202,"about_ca_topic_score_gemma":0.0017743,"domain_scores_codex":[0.9885283,0.005814883,0.001572446,0.001728853,0.001951766,0.0004037418],"domain_scores_gemma":[0.9755196,0.009499165,0.001059576,0.004357667,0.009135428,0.000428588],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001342188,0.0159673,0.125431,0.001028463,0.0008679217,0.00002178191,0.1059671,0.003023646,0.01115102,0.2295454,0.003196487,0.5036657],"study_design_scores_gemma":[0.006485845,0.0000277836,0.1450369,0.004346642,0.00100939,0.00005066354,0.01844093,0.346563,0.2287787,0.1509358,0.09210466,0.006219683],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5835971,0.004910175,0.3913336,0.005845248,0.0002588197,0.002247596,0.0002111669,0.0001376365,0.01145866],"genre_scores_gemma":[0.9304279,0.0009541436,0.06483083,0.0001042351,0.0000199067,0.0002806997,0.00009366331,0.00003201143,0.003256609],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.497446,"threshold_uncertainty_score":0.9998775,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08940995641098409,"score_gpt":0.333654233050434,"score_spread":0.2442442766394499,"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."}}