{"id":"W3021119914","doi":"10.1007/s10107-020-01587-x","title":"Idealness of <i>k</i>-wise intersecting families.","year":2022,"lang":"en","type":"article","venue":"PubMed","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Office of Naval Research; European Research Council; Institute for Basic Science; Australian Research Council; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Conjecture; Element (criminal law); Ideal (ethics); Integer (computer science); Matroid; Discrete mathematics; Field (mathematics); Binary number; Pure mathematics; Arithmetic; Computer science; Law","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":[0.001184423,0.0004217546,0.0006226947,0.002621813,0.00276976,0.002768682,0.0009571507,0.0006543698,0.01790451],"category_scores_gemma":[0.004225243,0.0004949438,0.0009079044,0.001264497,0.002661525,0.004034501,0.002012054,0.001722857,0.002770072],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001165142,"about_ca_system_score_gemma":0.0006418906,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001185873,"about_ca_topic_score_gemma":0.0008523006,"domain_scores_codex":[0.9988513,0.0002116452,0.00009535886,0.0003251551,0.0002149837,0.0003015562],"domain_scores_gemma":[0.9963534,0.00128941,0.0005465934,0.0004158787,0.00081237,0.0005823383],"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":[0.0002578846,0.00004449165,0.00232078,0.0001835126,0.00003311587,0.0002676382,0.0006930863,0.0009847671,0.003172429,0.9732072,0.007039303,0.01179588],"study_design_scores_gemma":[0.000039751,0.00005968425,0.00219712,0.00009391979,0.00003964587,0.001407888,0.000958804,0.003405396,0.00390994,0.9681672,0.01968267,0.00003807593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.510778,0.00213612,0.1538242,0.002633556,0.0006779077,0.0001470487,0.004096393,0.0008663592,0.3248404],"genre_scores_gemma":[0.9536806,0.000870454,0.02090523,0.0004061226,0.0002674347,0.00008980958,0.003218317,0.000221443,0.0203405],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01790451,"threshold_uncertainty_score":0.05989647,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02641539689674824,"score_gpt":0.2497492842757212,"score_spread":0.2233338873789729,"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."}}