{"id":"W4399453906","doi":"10.48550/arxiv.2406.03634","title":"Approximating partial differential equations without boundary conditions","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Boundary value problem; Partial differential equation; Mathematics; Applied mathematics; Boundary (topology); Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001147653,0.0003011108,0.0003143634,0.0002147582,0.0002078141,0.0002722872,0.001016552,0.0001889991,0.00002751111],"category_scores_gemma":[0.0001079815,0.0003447958,0.0001933262,0.0003510183,0.0001046622,0.000266267,0.002530069,0.0008448446,0.0001536061],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002061348,"about_ca_system_score_gemma":0.0001776605,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007630138,"about_ca_topic_score_gemma":0.000002974858,"domain_scores_codex":[0.9983279,0.00004587318,0.0002897986,0.0008701691,0.0001186302,0.0003476302],"domain_scores_gemma":[0.9985245,0.0001861525,0.0001361,0.0009175892,0.00008615096,0.0001495056],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001064642,0.00002959675,0.000006514191,0.0001344485,0.0000418384,0.00003189547,0.0001297968,0.4916102,0.00007200585,0.5078561,0.00001710102,0.00006945769],"study_design_scores_gemma":[0.00008926594,0.000008147546,0.000005622973,0.0001728498,0.00005972303,0.000002484983,0.00001488773,0.6642545,0.00005487043,0.3350821,0.00001862312,0.0002369677],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0366036,0.00004067674,0.959991,0.0000544693,0.0009827315,0.0002628519,0.0000261811,0.0009421934,0.0010963],"genre_scores_gemma":[0.9634899,0.000006618469,0.0358132,0.0000177351,0.000137368,0.000006568729,0.00002387638,0.00003190016,0.0004728226],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9268863,"threshold_uncertainty_score":0.9999004,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07079973040519333,"score_gpt":0.2217554152661538,"score_spread":0.1509556848609604,"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."}}