{"id":"W1966250211","doi":"10.1016/j.disc.2005.10.002","title":"Extensions of the Critical Theorem","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Matroid; Discrete mathematics; Combinatorics; Identity (music)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002972764,0.00008034325,0.0001147739,0.00003332374,0.0001158921,0.00003874077,0.0008304585,0.00003000876,0.00003724103],"category_scores_gemma":[0.0002353397,0.00004755732,0.0001424068,0.0002612502,0.0001844493,0.0001260462,0.0002748975,0.00008706405,0.00002294185],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004910997,"about_ca_system_score_gemma":0.00001522997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.939492e-7,"about_ca_topic_score_gemma":0.000001009354,"domain_scores_codex":[0.999284,0.00005092848,0.0001940524,0.0001213884,0.0002019668,0.0001476349],"domain_scores_gemma":[0.9987487,0.0003442238,0.00005585949,0.0007580817,0.0000518688,0.00004133003],"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":[6.568153e-7,0.00004938853,0.0000189746,0.00001649415,0.000005207322,3.698343e-7,0.001291847,0.0000109785,0.000495324,0.9957907,0.0002183779,0.002101651],"study_design_scores_gemma":[0.00008620517,0.00002597333,0.0002533661,0.00008699999,0.00001818415,0.00001935731,0.0001758241,0.02870015,0.006322764,0.9622388,0.001954415,0.0001179452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04546786,0.00009619761,0.9190937,0.006568247,0.0002323713,0.0001463719,0.000005330665,0.0001285257,0.02826145],"genre_scores_gemma":[0.9048495,0.000003312564,0.09477496,0.000254548,0.00003131149,0.000003625011,1.235253e-7,0.000005391398,0.00007718025],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8593817,"threshold_uncertainty_score":0.1939331,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01546555073583912,"score_gpt":0.2658604548077196,"score_spread":0.2503949040718805,"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."}}