{"id":"W2078477494","doi":"10.1109/newcas.2014.6933979","title":"A hybrid arithmetic transform for precision analysis of floating-point polynomial specifications","year":2014,"lang":"en","type":"article","venue":"","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Affine arithmetic; Interval arithmetic; Saturation arithmetic; Polynomial; Floating point; Algorithm; Affine transformation; Arithmetic; Arbitrary-precision arithmetic; Mathematics; Computer science","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":[0.0006691397,0.00008873631,0.000291449,0.0002363588,0.00007248332,0.00005258572,0.0004739645,0.00002259648,0.00003616796],"category_scores_gemma":[0.0001628914,0.00006816447,0.0002620908,0.0007393584,0.00003162784,0.0001423034,0.00004081633,0.00004635955,0.000004297524],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001564486,"about_ca_system_score_gemma":0.00001794015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004079788,"about_ca_topic_score_gemma":0.000004442574,"domain_scores_codex":[0.9989419,0.00006095551,0.0003508592,0.0003000042,0.0001750016,0.0001712687],"domain_scores_gemma":[0.9986588,0.000618902,0.00009250593,0.0004473428,0.0001004143,0.00008197157],"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":[0.000005913015,0.00008664937,0.00001491778,0.000005654368,0.00008652492,9.180592e-8,0.0001099861,0.0002344246,0.001801435,0.02516093,0.0001840171,0.9723095],"study_design_scores_gemma":[0.0002649435,0.0001888353,0.001654396,0.00000478155,0.000124943,9.360252e-7,0.00001150265,0.9498481,0.02461653,0.01603983,0.007119519,0.000125653],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001439141,0.0000106816,0.9944625,0.001148384,0.0001360965,0.0001936104,0.0000100516,0.00005106058,0.002548459],"genre_scores_gemma":[0.1904643,0.00000335412,0.8091994,0.00007713275,0.00005096887,0.00001372759,0.000003420052,0.000004164065,0.0001835419],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9721838,"threshold_uncertainty_score":0.2779667,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03482807649987794,"score_gpt":0.2922513741176815,"score_spread":0.2574232976178036,"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."}}