{"id":"W4387210341","doi":"10.48550/arxiv.2309.15961","title":"Negative Immersions and Finite Height Mappings","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Geology; Pure mathematics; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000200834,0.0002761117,0.0003630805,0.000193786,0.0002227841,0.00005300734,0.0004014486,0.0002410497,0.0001174046],"category_scores_gemma":[0.0002103179,0.0002975248,0.000154207,0.0003484909,0.0001410246,0.00006130395,0.00104002,0.0004493764,0.0001865827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006498273,"about_ca_system_score_gemma":0.00006302439,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000708338,"about_ca_topic_score_gemma":0.0000392455,"domain_scores_codex":[0.998754,0.00004898656,0.0002248114,0.0006499832,0.0000707498,0.0002515302],"domain_scores_gemma":[0.9977481,0.0009698733,0.0002775454,0.0007434449,0.000110489,0.0001505281],"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":[0.00001321515,0.0001756038,0.000302806,0.0007003567,0.0002973749,0.00008337523,0.001440353,0.001819458,0.00004739765,0.9676165,0.02744051,0.00006304236],"study_design_scores_gemma":[0.0002820075,0.00001436942,0.0001453004,0.0002367835,0.0002084752,0.000001796471,0.00075635,0.06193203,0.00006872413,0.934107,0.001869321,0.0003778141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6755753,0.00005760816,0.2903698,0.001663013,0.0004383141,0.00202295,0.0004847585,0.0009165142,0.02847178],"genre_scores_gemma":[0.9708293,0.0003517757,0.005481012,0.0000493179,0.0000652408,0.000007952151,0.00003182149,0.00005736669,0.02312621],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.295254,"threshold_uncertainty_score":0.9999477,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2392252685796701,"score_gpt":0.2407190400990893,"score_spread":0.001493771519419262,"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."}}