{"id":"W4403443806","doi":"10.48550/arxiv.2410.08963","title":"Unique continuation principles for finite-element discretizations of the Laplacian","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Contact Mechanics and Variational Inequalities","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Continuation; Finite element method; Laplace operator; Element (criminal law); Computer science; Applied mathematics; Mathematics; Geology; Algebra over a field; Calculus (dental); Pure mathematics; Mathematical analysis; Engineering; Structural engineering; Political science; Medicine; Programming language","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":[0.001858996,0.0004084962,0.0004762995,0.0007756933,0.0008259986,0.00143064,0.0006176343,0.0008020622,0.001751238],"category_scores_gemma":[0.006188754,0.0003261654,0.0007994522,0.0003242791,0.00231126,0.001417139,0.002437502,0.001935267,0.00030061],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008002502,"about_ca_system_score_gemma":0.0008119309,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006600384,"about_ca_topic_score_gemma":0.0006449764,"domain_scores_codex":[0.9994867,0.0001893309,0.00003155948,0.00006220571,0.0001798336,0.00005038143],"domain_scores_gemma":[0.998698,0.000771409,0.000133607,0.0001194603,0.0001735653,0.0001039647],"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":[0.00002127378,0.00002472034,0.0004589049,0.00006013661,0.00001137412,0.0001132001,0.000291011,0.0320302,0.005755812,0.9523916,0.0004824425,0.008359268],"study_design_scores_gemma":[0.0000159479,0.00003314568,0.0001351188,0.00004161045,0.000004793663,0.00007718915,0.000110182,0.3466102,0.002396809,0.647714,0.002848072,0.00001299429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06591795,0.0003020538,0.9220359,0.0006818369,0.00005381717,0.00004990911,0.0000495544,0.000107985,0.01080096],"genre_scores_gemma":[0.782581,0.0005827286,0.2073593,0.000218944,0.00007279167,0.0002351984,0.0001067959,0.0001981147,0.00864521],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.001858996,"threshold_uncertainty_score":0.009831429,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.113000347415235,"score_gpt":0.2147730834401634,"score_spread":0.1017727360249283,"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."}}