{"id":"W2808749144","doi":"10.1145/3208976.3208980","title":"An Efficient Algorithm for Computing Parametric Multivariate Polynomial GCD","year":2018,"lang":"en","type":"article","venue":"","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Chinese Academy of Sciences Key Project; National Natural Science Foundation of China; National Science Foundation","keywords":"Gröbner basis; Quotient; Mathematics; Parametric statistics; Ideal (ethics); Polynomial; Generator (circuit theory); Algorithm; Discrete mathematics; Combinatorics; Power (physics); Mathematical analysis","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":[0.0007490705,0.001529269,0.001329759,0.002595328,0.001082372,0.001827834,0.001423454,0.0007975576,0.01197451],"category_scores_gemma":[0.00258824,0.0005243741,0.001237595,0.002414912,0.0008175845,0.003024187,0.003394047,0.001625037,0.006212039],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009198652,"about_ca_system_score_gemma":0.002102842,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001319681,"about_ca_topic_score_gemma":0.001694803,"domain_scores_codex":[0.9985329,0.0001520955,0.0001523249,0.000371913,0.0005121352,0.0002786059],"domain_scores_gemma":[0.9992728,0.0001677938,0.00006444668,0.0001812592,0.0002473235,0.00006649192],"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":[0.0004212306,0.0001672334,0.00177102,0.0004530778,0.00007544674,0.0004885623,0.0003306559,0.01786996,0.02526077,0.05587348,0.01671596,0.8805726],"study_design_scores_gemma":[0.0005376,0.0006730871,0.002086357,0.0002344816,0.0001590045,0.003245677,0.0006378188,0.5232836,0.07249603,0.2568467,0.139532,0.0002676881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01050624,0.0005113049,0.9789176,0.0001547876,0.00009722224,0.0001630531,0.0002671062,0.005423945,0.003958769],"genre_scores_gemma":[0.1104447,0.0002814804,0.8828502,0.0001035096,0.00008183473,0.0002641634,0.001582349,0.0004802017,0.003911539],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01197451,"threshold_uncertainty_score":0.04005873,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01746908476162341,"score_gpt":0.2871988258055972,"score_spread":0.2697297410439738,"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."}}