{"id":"W1853432543","doi":"10.1007/s11118-015-9502-5","title":"Harnack Inequality and Applications for Infinite-Dimensional GEM Processes","year":2015,"lang":"en","type":"article","venue":"Potential Analysis","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Harnack's inequality; Mathematics; Harnack's principle; Poincaré inequality; Sobolev inequality; Potential theory; Dirichlet distribution; Pure mathematics; Heat kernel; Dimension (graph theory); Dirichlet form; Mathematical analysis; Log sum inequality; Upper and lower bounds; Sobolev space; Inequality; Kernel (algebra); Boundary value problem","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":[0.01047976,0.001612619,0.002538452,0.003928563,0.002333455,0.004150102,0.004076324,0.003977554,0.007488749],"category_scores_gemma":[0.04150294,0.001050287,0.002260294,0.003934275,0.007193005,0.01014342,0.006377316,0.008412587,0.001077798],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003251073,"about_ca_system_score_gemma":0.001924829,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004714143,"about_ca_topic_score_gemma":0.004197069,"domain_scores_codex":[0.9969111,0.001897691,0.0001412746,0.0003208935,0.0005161944,0.0002128344],"domain_scores_gemma":[0.972011,0.02327849,0.001143057,0.0010228,0.001714525,0.0008301673],"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":[0.00001277947,0.00001377441,0.0001419826,0.00005184972,0.00001736165,0.00004660336,0.00006714308,0.01200107,0.0001748355,0.9825885,0.0007614634,0.00412251],"study_design_scores_gemma":[0.000003940651,0.000004169551,0.00009592273,0.00002258546,0.000007390737,0.00002441786,0.00002054113,0.1624892,0.00008436186,0.8363092,0.0009219561,0.00001621233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008319972,0.002352581,0.9747423,0.002091841,0.0001153169,0.00001873785,0.0001144054,0.0001060677,0.01213865],"genre_scores_gemma":[0.4992733,0.01002771,0.4522836,0.001892829,0.001536668,0.0004393611,0.0007960317,0.0007609629,0.03298945],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01047976,"threshold_uncertainty_score":0.05542296,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03778270112513178,"score_gpt":0.3018034244581108,"score_spread":0.264020723332979,"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."}}