{"id":"W2118213888","doi":"10.1007/s11856-011-0056-y","title":"Closures of quadratic modules","year":2011,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Closure (psychology); Semidefinite programming; Quadratic equation; Discrete mathematics; Set (abstract data type); Polynomial; Space (punctuation); Algebra over a field; Regular polygon; Pure mathematics; Combinatorics; Mathematical optimization; Mathematical analysis; Computer science; Geometry","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":[0.001018324,0.0001633902,0.0005583712,0.0002848308,0.00004129657,0.00001470946,0.0004842535,0.0000862417,0.0002087687],"category_scores_gemma":[0.001935161,0.0001255571,0.0001906348,0.0002525511,0.0001421843,0.0001912183,0.00007001278,0.0002565959,0.00001317505],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003797582,"about_ca_system_score_gemma":0.00008591691,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003020019,"about_ca_topic_score_gemma":0.000003776844,"domain_scores_codex":[0.9976138,0.00008729101,0.00123366,0.00009081732,0.000753274,0.0002210833],"domain_scores_gemma":[0.9967998,0.000624446,0.001241399,0.0003683539,0.0008426173,0.0001234018],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000254471,0.007515045,0.002002436,0.004273774,0.001277516,0.0003152457,0.03765008,0.001398614,0.005509859,0.9172355,0.004278586,0.01828888],"study_design_scores_gemma":[0.00131603,0.0005525693,0.0002027965,0.0005963942,0.0001728351,0.0004424402,0.006964509,0.009664062,0.02914713,0.9504944,0.0001459168,0.0003009025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2157909,0.0003162958,0.7777027,0.00006287908,0.0001799526,0.0002631828,0.000009179824,0.00003173334,0.005643148],"genre_scores_gemma":[0.1578939,0.0001034824,0.8415709,0.00001362435,0.00006193326,0.000002287906,2.894267e-7,0.00004176429,0.0003118287],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.06386821,"threshold_uncertainty_score":0.5120069,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1463645083263005,"score_gpt":0.367179032474625,"score_spread":0.2208145241483245,"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."}}