{"id":"W2981335351","doi":"10.5070/c62257873","title":"From weakly separated collections to matroid subdivisions","year":2022,"lang":"en","type":"article","venue":"Combinatorial Theory","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; European Commission; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Matroid; Combinatorics; Subdivision; Vertex (graph theory); Mathematics; Hyperplane; Oriented matroid; Graphic matroid; Graph; Geography","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004178422,0.000298602,0.0003598584,0.001025989,0.001288924,0.001728198,0.0006670118,0.0003939474,0.002829273],"category_scores_gemma":[0.001228416,0.000389725,0.0006088121,0.0007804534,0.002530172,0.002299547,0.002299753,0.0009761769,0.0002921651],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009272887,"about_ca_system_score_gemma":0.0002377522,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008674482,"about_ca_topic_score_gemma":0.0008008292,"domain_scores_codex":[0.9994525,0.0001214557,0.00003308327,0.0001546468,0.0001512065,0.00008703862],"domain_scores_gemma":[0.9994351,0.0001343905,0.0001276747,0.0001131369,0.00006415071,0.0001255604],"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":[0.000044382,0.00002211418,0.001970425,0.00004445419,0.00001481948,0.0002075004,0.001174157,0.004192221,0.005835259,0.9788288,0.0003708774,0.007295049],"study_design_scores_gemma":[0.00004080444,0.0001619697,0.004517183,0.00003135018,0.00002285959,0.0005895747,0.001291675,0.02358329,0.005036517,0.948797,0.01589738,0.00003031773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8981767,0.0003328647,0.08205292,0.0001842274,0.00003837314,0.00003601528,0.0001191928,0.00008374537,0.01897597],"genre_scores_gemma":[0.972715,0.0001903572,0.02054384,0.00005436334,0.00006642612,0.00006027444,0.0003162001,0.00005563725,0.005997906],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002829273,"threshold_uncertainty_score":0.00946492,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0299703815927032,"score_gpt":0.323245717686074,"score_spread":0.2932753360933708,"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."}}