{"id":"W4389705438","doi":"10.23952/jnva.8.2024.1.06","title":"Porosity of the free boundary in a minimum problem","year":2023,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Polytechnique Montréal","funders":"National Natural Science Foundation of China","keywords":"Porosity; Boundary (topology); Free boundary problem; Geology; Mathematics; Mathematical analysis; Geotechnical engineering","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.0005041637,0.00004615701,0.0001765536,0.0002463722,0.00003131919,0.00002025505,0.0003461046,0.00002258574,0.000002538912],"category_scores_gemma":[0.0002001873,0.00003039771,0.0001175362,0.001326917,0.00001648718,0.0001660248,0.0001420912,0.0001033723,4.512832e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000169356,"about_ca_system_score_gemma":0.00005585694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004360923,"about_ca_topic_score_gemma":0.000006464216,"domain_scores_codex":[0.999209,0.00002279529,0.0003492667,0.00006948536,0.000277645,0.00007182676],"domain_scores_gemma":[0.999335,0.0001785845,0.0001857255,0.0001504768,0.0001220106,0.0000282301],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000110775,0.0001504222,0.01126582,0.00005082902,0.0004625049,0.00001024697,0.0009412766,0.9469056,0.001397767,0.03772873,0.00007105528,0.001004625],"study_design_scores_gemma":[0.0001589011,0.00001362315,0.04334182,0.00001993268,0.00005046172,0.000005958152,0.000008626136,0.907147,0.00004866471,0.04913515,0.00003575948,0.00003403334],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1200447,0.00004673045,0.8785441,0.001231583,0.00004906131,0.00002647439,0.000004766614,0.000007276859,0.00004534225],"genre_scores_gemma":[0.6326593,0.00002046507,0.3672023,0.00003443539,0.00004652973,6.501031e-7,7.458822e-7,0.000002681241,0.00003300062],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5126145,"threshold_uncertainty_score":0.1239583,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01279687877250374,"score_gpt":0.2499385189893114,"score_spread":0.2371416402168076,"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."}}