{"id":"W2891315125","doi":"10.1016/j.disc.2019.04.007","title":"Weighted Turán problems with applications","year":2019,"lang":"en","type":"preprint","venue":"Discrete Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Simons Foundation","keywords":"Combinatorics; Multipartite; Mathematics; Graph; Function (biology); Weight function; Discrete mathematics; Physics; Mathematical analysis","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":[0.0009639568,0.00170139,0.001035888,0.002344252,0.00102872,0.002240551,0.001318334,0.001458971,0.00978926],"category_scores_gemma":[0.003853778,0.0003942765,0.0008143053,0.002632036,0.001840869,0.003357747,0.002717648,0.003323552,0.0008612662],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001481567,"about_ca_system_score_gemma":0.000629331,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001277682,"about_ca_topic_score_gemma":0.00112079,"domain_scores_codex":[0.9995245,0.0002195719,0.0000195703,0.00008122456,0.0001036089,0.00005153213],"domain_scores_gemma":[0.9986749,0.0007461201,0.0001551632,0.00008760965,0.0001811349,0.000155254],"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":[0.00002826939,0.00002523917,0.0001208129,0.00007170517,0.00001775967,0.00003265139,0.00005967327,0.005686469,0.0003472884,0.9806219,0.002741037,0.01024725],"study_design_scores_gemma":[0.000007323421,0.000009805512,0.0001185357,0.00001661728,0.000009822566,0.00003199904,0.00003758192,0.0243983,0.0001372395,0.9709192,0.004307709,0.000005864069],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.152565,0.0120175,0.6469477,0.008714487,0.001527712,0.00006539921,0.0005313677,0.0003379274,0.1772927],"genre_scores_gemma":[0.8163909,0.00809548,0.07629348,0.001125248,0.001877303,0.0002441855,0.0005192001,0.0002768539,0.09517729],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00978926,"threshold_uncertainty_score":0.03274834,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04809885223323755,"score_gpt":0.3065435816624653,"score_spread":0.2584447294292277,"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."}}