{"id":"W3037156551","doi":"","title":"Rayleigh Matroids","year":2003,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Matroid; Graphic matroid; Combinatorics; Matroid partitioning; Binary number; Minor (academic); Mathematics; Class (philosophy); Property (philosophy); Discrete mathematics; Computer science; Arithmetic","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002724142,0.0005364814,0.0003816377,0.0007673523,0.0007134869,0.001559759,0.0006958628,0.0005635631,0.006697437],"category_scores_gemma":[0.001182854,0.0002830712,0.0005056052,0.0005683082,0.0010813,0.002534822,0.001276241,0.0009281797,0.001148292],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006440796,"about_ca_system_score_gemma":0.0002576667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007932312,"about_ca_topic_score_gemma":0.0008499536,"domain_scores_codex":[0.9994748,0.0000791099,0.00003106746,0.0001437359,0.0001666359,0.0001045173],"domain_scores_gemma":[0.999203,0.0001998105,0.0001933275,0.0001114436,0.0001860572,0.0001063958],"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":[0.00007395745,0.0000248485,0.0009845113,0.0001111867,0.00002046365,0.0002280097,0.0002690673,0.01038795,0.01162779,0.9467409,0.003437126,0.0260942],"study_design_scores_gemma":[0.00003571872,0.0001519574,0.002121746,0.00005606924,0.00003374197,0.001655322,0.0004767174,0.09253107,0.01130309,0.8203512,0.07123914,0.00004424175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3497857,0.00213909,0.4945816,0.001942925,0.0002532659,0.000198804,0.001348483,0.00084087,0.1489092],"genre_scores_gemma":[0.909232,0.001228921,0.05321945,0.0004250304,0.0003773448,0.0001488267,0.000693813,0.0001047973,0.03456987],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006697437,"threshold_uncertainty_score":0.02240521,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0593857718587639,"score_gpt":0.1953893082144644,"score_spread":0.1360035363557005,"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."}}