{"id":"W1533294272","doi":"10.48550/arxiv.1411.4129","title":"Graph theory, irreducibility, and structural analysis of differential-algebraic equation systems","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Jacobian matrix and determinant; Mathematics; Irreducibility; Graph; Differential equation; Offset (computer science); Algebraic equation; Discrete mathematics; Algorithm; Applied mathematics; Pure mathematics; Computer science; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007742753,0.0003964828,0.001162054,0.0008851799,0.0001283289,0.00007192212,0.0005205352,0.0003567149,0.0001383197],"category_scores_gemma":[0.0007004797,0.0003893822,0.0005600018,0.001033588,0.0003179519,0.0001015226,0.0006875331,0.0004199129,0.000002853808],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001149486,"about_ca_system_score_gemma":0.00005155305,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003044825,"about_ca_topic_score_gemma":0.00005953336,"domain_scores_codex":[0.9967572,0.00122251,0.0005703193,0.0009864954,0.0001835585,0.0002798909],"domain_scores_gemma":[0.9958562,0.001538221,0.000888403,0.001298998,0.0002506975,0.0001675177],"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":[0.00008402416,0.0001199942,0.007636359,0.0007011703,0.003505035,0.000003259045,0.0003572933,0.03228276,0.0002170557,0.9541754,0.00000592348,0.0009116855],"study_design_scores_gemma":[0.0002319084,0.00003458388,0.009549553,0.00006168916,0.005611422,4.142249e-7,0.0001088292,0.2807981,0.00004718667,0.7032857,9.316093e-7,0.0002696353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.513353,0.00002353635,0.4858467,0.000005532824,0.0002715153,0.0002884137,0.00006886473,0.00005702675,0.00008540812],"genre_scores_gemma":[0.9968162,0.00002749212,0.002689838,0.000003818198,0.00004889923,0.000002545481,0.0001184916,0.00003269104,0.0002600102],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4834632,"threshold_uncertainty_score":0.9998558,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1453083733596111,"score_gpt":0.2699004556423825,"score_spread":0.1245920822827713,"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."}}