{"id":"W2913731315","doi":"10.1007/s11005-020-01352-3","title":"Matroid connectivity and singularities of configuration hypersurfaces","year":2021,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; Simons Foundation; National Science Foundation","keywords":"Matroid; Hypersurface; Oriented matroid; Mathematics; Bilinear form; Weighted matroid; Matroid partitioning; Codimension; Graphic matroid; Degeneracy (biology); Scheme (mathematics); Combinatorics; Bilinear interpolation; Pure mathematics; Discrete mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000325462,0.0001253645,0.0003575181,0.00002634852,0.00003781704,0.00002334605,0.00006826978,0.00005841079,0.00008470731],"category_scores_gemma":[0.0005266564,0.0001210312,0.00005669873,0.0001658174,0.0002015545,0.00012421,0.00005201876,0.0001508316,0.000007544667],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001692615,"about_ca_system_score_gemma":0.00001473975,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001903024,"about_ca_topic_score_gemma":8.956806e-7,"domain_scores_codex":[0.9990616,0.0001248278,0.0002899298,0.0001737853,0.0001901379,0.000159749],"domain_scores_gemma":[0.9982976,0.001307134,0.00009609312,0.0002236239,0.00004372402,0.00003177678],"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":[0.00001270202,0.0002316666,0.0003591935,0.0007321061,0.00003444189,0.00001537433,0.001360132,0.000007990712,0.06071502,0.935849,0.00009809279,0.0005842979],"study_design_scores_gemma":[0.0002866449,0.00001306345,0.0003138172,0.0001034744,0.00002644795,0.00001527251,0.000723617,0.000253143,0.09739971,0.9007373,0.000008103453,0.0001194176],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.941937,0.00004662211,0.05418451,0.0006891312,0.0000408863,0.00009851276,0.000003909523,0.00002645381,0.002972916],"genre_scores_gemma":[0.9849513,0.000004407682,0.01461534,0.0002939808,0.00004227097,0.000005687386,0.000002815912,0.0000149166,0.00006927014],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04301425,"threshold_uncertainty_score":0.4935509,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02648407184509017,"score_gpt":0.2723578813901092,"score_spread":0.2458738095450191,"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."}}