{"id":"W4312991717","doi":"10.3934/mine.2023067","title":"A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem","year":2022,"lang":"en","type":"article","venue":"Mathematics in Engineering","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Measure (data warehouse); Regular polygon; Nonlinear system; Mathematical analysis; Applied mathematics; Physics; Geometry; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009663046,0.0001603589,0.0003740468,0.0004466673,0.0001052349,0.00001006774,0.0002386705,0.00003662071,0.00005205733],"category_scores_gemma":[0.0005063583,0.0001647801,0.0001026799,0.000657174,0.00001729186,0.00005932902,0.0001655647,0.000167103,0.000001065559],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001335711,"about_ca_system_score_gemma":0.00003496098,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008670581,"about_ca_topic_score_gemma":0.000004311342,"domain_scores_codex":[0.9985737,0.00001274404,0.0006164595,0.0001564734,0.0002707256,0.0003698744],"domain_scores_gemma":[0.9987274,0.0007335666,0.0001862495,0.0002505533,0.00006404406,0.00003820454],"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":[0.000008662259,0.0005007441,0.0000115965,0.005827286,0.00005330001,0.000003998694,0.004956961,0.0142101,0.0004656994,0.9729976,0.0006679303,0.0002960908],"study_design_scores_gemma":[0.0007206344,0.0001580989,0.000008297763,0.0002464954,0.000052456,0.00003183768,0.001055563,0.4012086,0.001066522,0.5933621,0.001770112,0.0003192825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.105227,0.0005424169,0.8908141,0.0001350641,0.0002881704,0.001148315,0.0002814291,0.0002146668,0.00134883],"genre_scores_gemma":[0.6001967,0.000007391677,0.3985296,0.000006851659,0.00003250718,0.000804568,0.00001438765,0.00005847995,0.000349542],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4949697,"threshold_uncertainty_score":0.6719537,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04980140682845041,"score_gpt":0.2921176978471986,"score_spread":0.2423162910187482,"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."}}