{"id":"W2128486174","doi":"10.1145/1993886.1993904","title":"Algorithms for computing triangular decompositions of polynomial systems","year":2011,"lang":"en","type":"article","venue":"","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Modulo; Polynomial; Computer science; Key (lock); Computation; Algorithm; Feature (linguistics); Maple; Theoretical computer science; Mathematics; Discrete mathematics","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":[0.0002208916,0.00009052877,0.0001785491,0.0001029736,0.00009802806,0.00004272896,0.0004250396,0.00003894153,0.000006713137],"category_scores_gemma":[0.00001311864,0.00008145178,0.00009946119,0.0001784324,0.00002588153,0.000203758,0.0001030013,0.00003565937,0.000008157873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001813029,"about_ca_system_score_gemma":0.00005902894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002090681,"about_ca_topic_score_gemma":0.00000237519,"domain_scores_codex":[0.999143,0.00003396509,0.0003191309,0.0002131986,0.0001022659,0.0001884519],"domain_scores_gemma":[0.9993766,0.0001231264,0.0001282467,0.000216196,0.00008806754,0.00006774579],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000908416,0.0006589039,0.0002971668,0.0001522576,0.0002080036,0.00001027392,0.007503815,0.001552813,0.008280586,0.6687635,0.007568778,0.3049131],"study_design_scores_gemma":[0.001199323,0.0002806114,0.001613036,0.00003321084,0.00001612335,0.00002467611,0.0001079573,0.9763509,0.01619976,0.003068569,0.000870643,0.0002352163],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0212304,0.00007165831,0.9755535,0.00006684267,0.0008462428,0.0002860487,0.000005635715,0.0001256663,0.001814051],"genre_scores_gemma":[0.7396995,5.231852e-7,0.2600183,0.00004167894,0.0001257919,0.000008488535,0.000003400925,0.000004836744,0.00009745315],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9747981,"threshold_uncertainty_score":0.3321507,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04753445832422861,"score_gpt":0.2682049483949384,"score_spread":0.2206704900707098,"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."}}