{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002260557,0.0009666378,0.001340418,0.002251644,0.001722022,0.003868882,0.001593491,0.0009265574,0.007992745],"category_scores_gemma":[0.008252793,0.0005665559,0.0006725162,0.002325371,0.003279755,0.009705763,0.004206974,0.003206346,0.0007280438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003013369,"about_ca_system_score_gemma":0.0008222006,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001462945,"about_ca_topic_score_gemma":0.001742595,"domain_scores_codex":[0.9980431,0.0005666465,0.00009605272,0.000348722,0.0006056788,0.00033978],"domain_scores_gemma":[0.9965299,0.00183285,0.0002382402,0.0006530308,0.0004181845,0.000327917],"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":[0.0000208377,0.000009641121,0.0001422548,0.00002523483,0.000004321772,0.0000148581,0.00006228098,0.001577591,0.0002376409,0.9931048,0.0008719956,0.003928564],"study_design_scores_gemma":[0.000007435582,0.000005350406,0.00009365442,0.00001194459,0.000008933282,0.00001996609,0.00001916113,0.01533803,0.0005279548,0.9814891,0.00247248,0.000005917092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2120429,0.004168954,0.6329384,0.003992164,0.0006006142,0.00005560563,0.0006142607,0.001035372,0.1445517],"genre_scores_gemma":[0.9406732,0.001242209,0.03217739,0.0005241247,0.0005085419,0.00006389592,0.0004204688,0.00028393,0.0241062],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007992745,"threshold_uncertainty_score":0.02673841,"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."}}