{"id":"W2026111379","doi":"10.1145/780506.780512","title":"A geometric-numeric algorithm for absolute factorization of multivariate polynomials","year":2002,"lang":"en","type":"article","venue":"","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":44,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University; Western University","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Algorithm; Factorization; Factorization of polynomials; Computation; Algebra over a field; Applied mathematics; Computer science; Polynomial; Pure mathematics; Mathematical analysis; Matrix polynomial; Artificial intelligence","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":[0.0001335457,0.0001068394,0.0001790449,0.0002408865,0.00006819304,0.0000573902,0.0003549409,0.00004550971,0.00005556757],"category_scores_gemma":[0.00006584082,0.00009423427,0.00008551764,0.0007824178,0.00001552731,0.000387753,0.00008665199,0.00003332353,0.00002517567],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002687709,"about_ca_system_score_gemma":0.00001618915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008353964,"about_ca_topic_score_gemma":0.000001204786,"domain_scores_codex":[0.9990577,0.00002464974,0.0002951298,0.0002542222,0.0001585452,0.0002098018],"domain_scores_gemma":[0.9992644,0.0002005659,0.0001615888,0.0002083043,0.00009963538,0.00006548646],"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":[0.000001341412,0.00006979776,0.00001047844,0.000006881302,0.00001657292,3.333965e-7,0.0001831203,0.0001127695,0.001778749,0.005247886,0.0008212367,0.9917508],"study_design_scores_gemma":[0.0006713602,0.00013441,0.002503769,0.000005953809,0.000006223731,0.000002413692,0.00000426,0.9825968,0.008342587,0.002546638,0.003022065,0.0001635038],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0009631001,0.00008678131,0.9972062,0.000298043,0.0005000785,0.0002433924,0.00001063127,0.0001160483,0.0005757596],"genre_scores_gemma":[0.6485353,0.000009836733,0.3496263,0.00009836917,0.0001128595,0.00001548897,0.000004053721,0.000007807833,0.001590039],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9915873,"threshold_uncertainty_score":0.3842762,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02704636221809897,"score_gpt":0.2488634440236337,"score_spread":0.2218170818055347,"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."}}