{"id":"W3080111066","doi":"10.1002/cpa.22160","title":"Prescribed curvature measure problem in hyperbolic space","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Curvature; Measure (data warehouse); Hyperbolic space; Space (punctuation); Mathematical analysis; Partial differential equation; Regular polygon; Nonlinear system; Hyperbolic partial differential equation; Mean curvature; Geometry","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":[0.0008561866,0.0004257651,0.0006202195,0.0008425179,0.0006010724,0.0009842545,0.0006822971,0.001094786,0.001087385],"category_scores_gemma":[0.002745028,0.0003136212,0.0004883454,0.0003070476,0.002508072,0.001470342,0.002076836,0.0007058675,0.0001645484],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00126947,"about_ca_system_score_gemma":0.0005951866,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001380459,"about_ca_topic_score_gemma":0.0006606706,"domain_scores_codex":[0.9995345,0.0001359632,0.00002346474,0.00009308939,0.0001502827,0.00006274971],"domain_scores_gemma":[0.9989458,0.0002788096,0.0002096678,0.0001024972,0.0002752163,0.0001880723],"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":[0.0000694242,0.00001678099,0.001290237,0.00008665679,0.0000244955,0.000302069,0.0002580815,0.05176253,0.01298064,0.927515,0.0007034026,0.004990586],"study_design_scores_gemma":[0.00003367708,0.0001121402,0.002743463,0.00004681265,0.00001243477,0.0005379167,0.0002361938,0.4608237,0.00679749,0.5257891,0.002818403,0.00004866613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6784524,0.0005600553,0.3027053,0.001222844,0.0001051811,0.00004289539,0.000140153,0.0001130015,0.01665819],"genre_scores_gemma":[0.9843767,0.0001489564,0.01126197,0.00006223833,0.00002935109,0.00002197882,0.0000621323,0.00002511095,0.004011561],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001380459,"threshold_uncertainty_score":0.009210706,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06950743227381986,"score_gpt":0.3044342646835286,"score_spread":0.2349268324097087,"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."}}