{"id":"W4402541531","doi":"10.1007/s11424-024-4048-5","title":"Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations","year":2024,"lang":"en","type":"article","venue":"Journal of Systems Science and Complexity","topic":"Modeling and Simulation Systems","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Differential algebraic geometry; Embedding; Real algebraic geometry; Function field of an algebraic variety; Algebraic number; Mathematics; Differential (mechanical device); Dimension of an algebraic variety; Algebraic geometry and analytic geometry; Geometry; Algebra over a field; Differential algebraic equation; Mathematical analysis; Differential equation; Computer science; Pure mathematics; Ordinary differential equation; Physics; Artificial intelligence","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":[0.0007588619,0.0006595301,0.0007456373,0.0009260072,0.000493513,0.001270344,0.0009739816,0.0005844569,0.004127683],"category_scores_gemma":[0.002581826,0.0003577639,0.0007802812,0.0003475899,0.001664167,0.002414128,0.002733766,0.002057286,0.0006739393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006232736,"about_ca_system_score_gemma":0.0005110425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007202661,"about_ca_topic_score_gemma":0.000624645,"domain_scores_codex":[0.9995552,0.0001919937,0.00002546364,0.00008343753,0.0001093268,0.00003446268],"domain_scores_gemma":[0.9992514,0.0003240889,0.00007794097,0.0001247516,0.0001529492,0.00006889486],"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":[0.00002913638,0.00003325315,0.0001742916,0.00006737653,0.00001847699,0.00005291809,0.0001389379,0.02501205,0.002113883,0.9543545,0.0006479436,0.01735724],"study_design_scores_gemma":[0.00001425529,0.00006674341,0.000110058,0.00001965075,0.00001475444,0.00007397694,0.00006199258,0.3971744,0.001162338,0.5957688,0.005514292,0.00001871318],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01968374,0.0001576298,0.9728759,0.0002206964,0.0001238795,0.00002552296,0.00003425932,0.0001200707,0.006758389],"genre_scores_gemma":[0.6229112,0.0006059447,0.3589022,0.0002028196,0.0002048672,0.0001166379,0.0001749421,0.0003503937,0.01653091],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004127683,"threshold_uncertainty_score":0.01380849,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05947888975556163,"score_gpt":0.3467862093112528,"score_spread":0.2873073195556911,"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."}}