{"id":"W4405035676","doi":"10.48550/arxiv.2412.02015","title":"Certifying nontriviality of Ceresa classes of curves","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Waterloo; National Science Foundation","keywords":"Mathematics; Calculus (dental); Computer science; Geology; Medicine; Orthodontics","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":[0.0001173698,0.0002557323,0.0006253913,0.0002628095,0.00001671425,0.000007187702,0.0004635534,0.0002127506,0.00005780454],"category_scores_gemma":[0.00004890936,0.0002839659,0.0003606049,0.0006330716,0.0001310233,0.00007383122,0.0006876177,0.0005405983,0.00001009157],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001437835,"about_ca_system_score_gemma":0.00003843525,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001547376,"about_ca_topic_score_gemma":0.00003857664,"domain_scores_codex":[0.99891,0.000047405,0.0003464727,0.0004154653,0.00008704762,0.0001936459],"domain_scores_gemma":[0.9989297,0.0001061232,0.0001653345,0.0006066288,0.0001236649,0.00006852568],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005225283,0.000159875,0.005500746,0.01607613,0.001349691,0.000132949,0.0001312839,0.9481665,0.00726168,0.01725641,0.001976999,0.00193541],"study_design_scores_gemma":[0.000437575,0.0001142415,0.002292658,0.006341096,0.002212875,0.000002939966,0.0001576138,0.5862634,0.1201068,0.2784736,0.001901813,0.001695308],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.678861,0.004793939,0.3020784,0.00005817261,0.0004218102,0.0004843292,0.0002175099,0.001424001,0.01166084],"genre_scores_gemma":[0.9956625,0.003140159,0.0009120511,0.000007774084,0.00002826847,9.280908e-7,0.00001659791,0.0000353137,0.0001963788],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3619032,"threshold_uncertainty_score":0.9999613,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07077175928853163,"score_gpt":0.2071310455528584,"score_spread":0.1363592862643267,"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."}}