{"id":"W1773256999","doi":"10.1016/j.aim.2015.10.013","title":"Effective uniform bounding in partial differential fields","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"National Science Foundation","keywords":"Bounding overwatch; Mathematics; Upper and lower bounds; Partial differential equation; Ordinary differential equation; Applied mathematics; Polynomial; Mathematical analysis; Degree (music); Differential equation; Numerical partial differential equations; Computer science; Physics","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":[],"consensus_categories":[],"category_scores_codex":[0.0003703442,0.0002226652,0.0003953244,0.0001983577,0.00003026379,0.0001365081,0.0007641204,0.0001655036,0.000005571758],"category_scores_gemma":[0.0001509751,0.0002058424,0.00006369629,0.0002216448,0.00003739563,0.0004055959,0.001024276,0.0005066532,0.00001389481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002009594,"about_ca_system_score_gemma":0.0001008329,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002431522,"about_ca_topic_score_gemma":0.000137544,"domain_scores_codex":[0.9985588,0.00006683012,0.000443747,0.0003772102,0.0002620906,0.0002913109],"domain_scores_gemma":[0.9989729,0.000302476,0.0002237989,0.0004046725,0.00003669241,0.00005945362],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004254209,0.001012774,0.001275454,0.00259641,0.00004975201,0.000150292,0.02769745,0.1247893,0.00003050419,0.4115799,0.0001722564,0.4306034],"study_design_scores_gemma":[0.0002867066,0.0000252312,0.0002962594,0.0004206348,0.000003804095,0.000002992846,0.00003577724,0.4267741,0.0001288316,0.5716625,0.0001671169,0.0001959605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1690661,0.0005015818,0.8247349,0.0001273446,0.00264775,0.0005043297,0.000002997914,0.00008611113,0.002328948],"genre_scores_gemma":[0.9695064,0.00009437511,0.02996103,0.00002885591,0.0002416459,0.0001031862,0.000007604834,0.00001152056,0.00004536411],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8004404,"threshold_uncertainty_score":0.8394008,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0166754429226224,"score_gpt":0.294560848878676,"score_spread":0.2778854059560536,"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."}}