{"id":"W4414192231","doi":"10.1007/s12220-025-02191-1","title":"Lipschitz Approximation for General Almost Area Minimizing Currents","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Fields Institute for Research in Mathematical Sciences; Princeton University; Fundação de Amparo à Pesquisa do Estado de São Paulo; Carnegie Mellon University","keywords":"Lipschitz continuity; Monotonic function; Modulus of continuity; Differential geometry; Fourier analysis; Lipschitz domain; Approximation error; Current (fluid)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002381304,0.0009920894,0.0008733656,0.001574028,0.0006696213,0.001824396,0.001251524,0.001432085,0.004314745],"category_scores_gemma":[0.009436575,0.0004232696,0.0009005783,0.0004171658,0.002261122,0.002800991,0.002267408,0.001871809,0.0004764094],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002082662,"about_ca_system_score_gemma":0.0006532678,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001325666,"about_ca_topic_score_gemma":0.0008948747,"domain_scores_codex":[0.9993306,0.0002016663,0.00003178934,0.0001325012,0.0002044128,0.00009897019],"domain_scores_gemma":[0.997776,0.0009922957,0.0002764886,0.0001677941,0.0005661297,0.0002212582],"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":[0.00005559801,0.00002878671,0.0006440394,0.0001256093,0.00002228292,0.000137191,0.000156773,0.03308311,0.006194804,0.9508947,0.001093106,0.007564026],"study_design_scores_gemma":[0.00001613912,0.00007856759,0.0004658289,0.00005588044,0.00002167634,0.0002516018,0.0001225444,0.625903,0.003155626,0.3663938,0.003512453,0.00002291676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1524197,0.001643356,0.8036397,0.002104068,0.0002427244,0.00007252887,0.0001064153,0.0003199752,0.03945153],"genre_scores_gemma":[0.875251,0.0009995382,0.09766755,0.0005687384,0.0002310538,0.0001000489,0.0001467357,0.0002759169,0.02475937],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004314745,"threshold_uncertainty_score":0.01511085,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09425763664366134,"score_gpt":0.4034852904516,"score_spread":0.3092276538079387,"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."}}