{"id":"W4392429288","doi":"10.1007/s00373-024-02760-1","title":"On Restricted Intersections and the Sunflower Problem","year":2024,"lang":"en","type":"article","venue":"Graphs and Combinatorics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Sunflower; Discrete mathematics","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":[0.002025613,0.0007254806,0.002023167,0.002210166,0.004116729,0.004295089,0.002486517,0.003630622,0.01756561],"category_scores_gemma":[0.009681045,0.000830914,0.001282001,0.003554452,0.004635582,0.01469412,0.004931752,0.005568071,0.00116528],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001966491,"about_ca_system_score_gemma":0.00121818,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002110488,"about_ca_topic_score_gemma":0.001707298,"domain_scores_codex":[0.9982945,0.0006297638,0.00006407315,0.0003310527,0.0003356559,0.000345047],"domain_scores_gemma":[0.9941211,0.004265304,0.0004580391,0.0004231742,0.0003047815,0.0004275186],"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":[0.00007336529,0.00005178242,0.0002495125,0.00005478428,0.00001082842,0.00007409444,0.0001933357,0.002712229,0.0001392068,0.9839445,0.004687097,0.007809259],"study_design_scores_gemma":[0.00001362556,0.000004588955,0.00006376583,0.00001041773,0.000004490096,0.00003391781,0.00007888828,0.003290834,0.00007212196,0.9945774,0.001843719,0.000006162183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5008488,0.004553439,0.1848142,0.02474041,0.0009406026,0.0001438129,0.001033731,0.0006204835,0.2823045],"genre_scores_gemma":[0.9076525,0.00368047,0.04170802,0.001689604,0.001544367,0.0001737542,0.001601883,0.0003442254,0.04160524],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01756561,"threshold_uncertainty_score":0.05876279,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01893322336736278,"score_gpt":0.2727877647784131,"score_spread":0.2538545414110503,"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."}}