{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001058247,0.0003544343,0.0005732565,0.0002876162,0.001475448,0.0001028783,0.0008811061,0.0001062443,0.002853803],"category_scores_gemma":[0.002225009,0.000390453,0.0001963054,0.001746311,0.0000717754,0.0001330175,0.0009287432,0.000603954,0.0001982265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000555179,"about_ca_system_score_gemma":0.0001795509,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002646953,"about_ca_topic_score_gemma":0.00000222392,"domain_scores_codex":[0.996818,0.0007141214,0.0006328088,0.0005463957,0.0007579213,0.0005307194],"domain_scores_gemma":[0.9953586,0.002833501,0.0002467632,0.001081983,0.0001859014,0.0002932296],"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":[0.0002602084,0.0006245516,0.000004703947,0.000009638219,0.00008437515,0.00001667462,0.001386252,0.0001058083,0.002017603,0.9309431,0.0644368,0.0001102994],"study_design_scores_gemma":[0.001293298,0.0003529989,0.000003830213,0.0000189224,0.00008372873,0.00000959812,0.001064378,0.00009205509,0.002015337,0.9487593,0.0458842,0.0004223752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7999304,0.0002471913,0.03356161,0.0009829451,0.07009204,0.004530351,0.0008977197,0.002875211,0.08688257],"genre_scores_gemma":[0.9798936,0.00000288742,0.006962983,0.0002005457,0.001091116,0.0008402232,0.00004322983,0.0001788597,0.01078655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1799632,"threshold_uncertainty_score":0.9998547,"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."}}