{"id":"W2797188401","doi":"10.5802/alco.68","title":"The slack realization space of a matroid","year":2019,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Max-Planck-Institut für Mathematik in den Naturwissenschaften; University of Washington; National Science Foundation","keywords":"Matroid; Realization (probability); Mathematics; Realizability; Ideal (ethics); Matroid partitioning; Graphic matroid; Vertex (graph theory); Hyperplane; Incidence matrix; Space (punctuation); Combinatorics; Discrete mathematics; Pure mathematics; Computer science; Algorithm; Graph","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":[0.0005470343,0.0005627992,0.0004521251,0.001172892,0.001018521,0.002620984,0.0008910176,0.0004971073,0.005066001],"category_scores_gemma":[0.0008270169,0.0003109669,0.0007054056,0.0007721448,0.002938719,0.003634802,0.001790769,0.001582597,0.0006817319],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001017354,"about_ca_system_score_gemma":0.0005791186,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00103562,"about_ca_topic_score_gemma":0.0006541945,"domain_scores_codex":[0.9992173,0.0001292,0.0000399581,0.0001965888,0.0002588985,0.0001582042],"domain_scores_gemma":[0.9995093,0.00007894848,0.0001019627,0.0001002368,0.0000891216,0.0001203462],"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":[0.00001714086,0.000009501829,0.000230763,0.00001500403,0.000004302263,0.00007674855,0.0001489026,0.001376004,0.001884618,0.9940513,0.0002608892,0.001924812],"study_design_scores_gemma":[0.00001608939,0.00006591008,0.00045449,0.00001489776,0.0000110844,0.000345356,0.0003173381,0.02512756,0.003109741,0.9607658,0.009741042,0.00003071635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4677075,0.0005226763,0.478408,0.0007256676,0.00015923,0.00006990891,0.0005898691,0.0004168391,0.05140022],"genre_scores_gemma":[0.9630266,0.0001945649,0.02770746,0.00007212638,0.0001192036,0.00005467591,0.0003969937,0.00007807711,0.008350343],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005066001,"threshold_uncertainty_score":0.01694751,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03800479293553029,"score_gpt":0.3245399105385554,"score_spread":0.2865351176030251,"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."}}