{"id":"W2145025251","doi":"10.1016/j.jsc.2009.05.003","title":"Automatic computation of the complete root classification for a parametric polynomial","year":2009,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Discriminant; Sign (mathematics); Root (linguistics); Computation; Positive definiteness; Polynomial; Parametric statistics; Sequence (biology); Characteristic polynomial; Class (philosophy); Linear discriminant analysis; Algorithm; Combinatorics; Discrete mathematics; Artificial intelligence; Positive-definite matrix; Mathematical analysis; Statistics; Computer science; Eigenvalues and eigenvectors","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":[0.0005280159,0.0007420548,0.001293874,0.001613602,0.001248551,0.002662209,0.001392483,0.0009777141,0.01147213],"category_scores_gemma":[0.004282694,0.0004134718,0.000999635,0.001199735,0.001116523,0.003072178,0.002369175,0.001590877,0.002428228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001034613,"about_ca_system_score_gemma":0.001324232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001159716,"about_ca_topic_score_gemma":0.002787969,"domain_scores_codex":[0.9993036,0.00008805996,0.00003870305,0.0001889935,0.0002616621,0.0001189792],"domain_scores_gemma":[0.9980797,0.0008411324,0.0001207858,0.0004811229,0.0003729207,0.000104483],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.001012584,0.0002712144,0.004823807,0.0006757764,0.0001130125,0.0003950314,0.0007150938,0.03799064,0.03787111,0.2396989,0.02604143,0.6503914],"study_design_scores_gemma":[0.0001906371,0.0001872298,0.001835984,0.00006711812,0.0001003702,0.0003050776,0.0003836511,0.4369236,0.02901023,0.5153572,0.01556156,0.00007727091],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2926101,0.0003294197,0.6810101,0.0005659083,0.000165344,0.0001414517,0.001172822,0.006589201,0.01741564],"genre_scores_gemma":[0.7475825,0.00008569995,0.2445843,0.00008904181,0.00007222498,0.0000601273,0.001907314,0.0007663103,0.004852548],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01147213,"threshold_uncertainty_score":0.03837812,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03063142354722671,"score_gpt":0.2820513312423598,"score_spread":0.2514199076951331,"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."}}