{"id":"W2937263345","doi":"10.1515/ans-2019-2042","title":"Sharp Singular Trudinger–Moser Inequalities Under Different Norms","year":2019,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Simons Foundation; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Combinatorics; Norm (philosophy); Type (biology); Physics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002123968,0.0004547031,0.0008328448,0.0001400653,0.0002289175,0.00005138696,0.0002751384,0.0001061025,0.0002592837],"category_scores_gemma":[0.0007734458,0.0003521074,0.0002257232,0.0002555903,0.0001452668,0.0002756243,0.0003013235,0.000282968,0.0004077704],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001483069,"about_ca_system_score_gemma":0.00003760514,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009077619,"about_ca_topic_score_gemma":0.0001753264,"domain_scores_codex":[0.9975944,0.0001082254,0.0006849901,0.0005289722,0.0005157597,0.0005676704],"domain_scores_gemma":[0.9976797,0.0009836381,0.0002566086,0.0006692109,0.0003046323,0.0001062473],"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":[0.001064555,0.005204388,0.02803572,0.00450001,0.007133558,0.00007025442,0.02204734,0.002307714,0.09433649,0.796101,0.003772204,0.03542673],"study_design_scores_gemma":[0.009767388,0.001552311,0.01129942,0.001648494,0.0009859258,0.00002431393,0.01997945,0.009611864,0.08051494,0.8366196,0.02370851,0.004287845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9916878,0.001004454,0.003520592,0.0006956641,0.001046304,0.0006595936,0.00006547468,0.0003260855,0.0009940503],"genre_scores_gemma":[0.9505587,0.0003918777,0.03876272,0.0003952752,0.0005879455,0.0001087326,0.00008423842,0.0001485932,0.008961936],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0411291,"threshold_uncertainty_score":0.9998931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1092832465447602,"score_gpt":0.3912016105507941,"score_spread":0.2819183640060339,"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."}}