{"id":"W2908319243","doi":"10.1017/prm.2018.45","title":"General sharp weighted Caffarelli–Kohn–Nirenberg inequalities","year":2018,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Nirenberg and Matthaei experiment; Monomial; Mathematics; Class (philosophy); Inequality; Pure mathematics; Applied mathematics; Combinatorics; Mathematical analysis; Computer science; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000714905,0.0002989093,0.0005569555,0.00006934295,0.0002957905,0.00005204703,0.0005238121,0.0002407835,0.0007881349],"category_scores_gemma":[0.0005594243,0.0002254487,0.0005916213,0.0005339949,0.0004817703,0.0001596058,0.0002700292,0.0002718127,0.000004184192],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000959672,"about_ca_system_score_gemma":0.00006502034,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007831609,"about_ca_topic_score_gemma":0.000008830941,"domain_scores_codex":[0.997572,0.00001333531,0.0009972127,0.0002761628,0.0007929548,0.0003483221],"domain_scores_gemma":[0.9971839,0.0002343456,0.001050893,0.0002688341,0.00117073,0.00009134308],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000157737,0.003652243,0.003567944,0.004912401,0.001976661,1.941209e-7,0.0737847,0.00004270593,0.1464302,0.2396941,0.5248831,0.0008980552],"study_design_scores_gemma":[0.001465242,0.0005195382,0.0004211279,0.001031747,0.0007309312,0.00001197092,0.007136575,0.1896476,0.3481066,0.4467603,0.003352579,0.0008158326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9794796,0.0000287615,0.008561189,0.0004127255,0.0008653539,0.0005861389,0.00004342845,0.0001629073,0.009859916],"genre_scores_gemma":[0.8759326,0.00002110046,0.1079455,0.00007897312,0.002182695,0.00005261262,0.00000569622,0.0000794298,0.01370146],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5215306,"threshold_uncertainty_score":0.9193532,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04357847262748312,"score_gpt":0.298234380724587,"score_spread":0.2546559080971039,"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."}}