{"id":"W2021877860","doi":"10.1515/advgeom.2011.019","title":"Fewnomial bounds for completely mixed polynomial systems","year":2011,"lang":"en","type":"article","venue":"Advances in Geometry","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"École Polytechnique Fédérale de Lausanne; University of Calgary","keywords":"Mathematics; Monomial; Polynomial; Upper and lower bounds; Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003074511,0.0001697639,0.0002665749,0.0003168866,0.0001169516,0.0001004649,0.000813254,0.00006863673,0.000008115499],"category_scores_gemma":[0.00005656879,0.0001663623,0.00008314161,0.0005949154,0.00006782009,0.001045696,0.0001784446,0.0001109114,0.00003117383],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007933666,"about_ca_system_score_gemma":0.00007048403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009790373,"about_ca_topic_score_gemma":0.00005242691,"domain_scores_codex":[0.9985431,0.0000462383,0.0003813716,0.0004353587,0.0001713807,0.0004225647],"domain_scores_gemma":[0.999158,0.0002212645,0.0001465736,0.0003325347,0.00005035745,0.00009130961],"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":[0.0004056107,0.0005827825,0.009655765,0.0002976057,0.00006834593,0.00004754602,0.002439376,0.002916325,0.0009519663,0.2931839,0.005734619,0.6837162],"study_design_scores_gemma":[0.010823,0.002282051,0.07847965,0.0003217174,0.0000432948,0.0001624136,0.0007288723,0.2968475,0.008006714,0.08559596,0.5135808,0.003127993],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1945917,0.003615145,0.7883285,0.0001297171,0.007756376,0.0005928591,0.00002122469,0.0002390717,0.004725409],"genre_scores_gemma":[0.9715714,0.00004176642,0.02773669,0.0001093524,0.0003343475,0.00007058253,0.000007127537,0.00001182166,0.0001169293],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7769797,"threshold_uncertainty_score":0.6784058,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0283384899360196,"score_gpt":0.2579464234838262,"score_spread":0.2296079335478066,"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."}}