{"id":"W2091962332","doi":"10.1002/mma.1222","title":"Shape optimization for low Neumann and Steklov eigenvalues","year":2009,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Eigenvalues and eigenvectors; Von Neumann architecture; Shape optimization; Computer science; Mathematics; Pure mathematics; Structural engineering; Physics; Engineering; Finite element method","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004676745,0.0001521743,0.0002891618,0.0001031139,0.0002853553,0.0001660326,0.0004406281,0.00006914254,0.0001013727],"category_scores_gemma":[0.001754698,0.00009479686,0.00005318825,0.0004095302,0.0003023962,0.00009401984,0.00004472163,0.0001115681,0.000005669053],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001310389,"about_ca_system_score_gemma":0.00002452363,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.500578e-7,"about_ca_topic_score_gemma":0.0000011785,"domain_scores_codex":[0.9984044,0.000268226,0.000427255,0.0002939693,0.0003162868,0.0002897933],"domain_scores_gemma":[0.9954182,0.00413014,0.0001192549,0.000252423,0.00003089567,0.00004909926],"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":[0.000009540016,0.0001881061,0.000001477184,0.00006783233,0.000004361863,1.994175e-7,0.001397058,0.0003820135,0.002212701,0.9670869,0.00004358413,0.0286062],"study_design_scores_gemma":[0.0001376182,0.0000689327,0.00003072703,0.00002420183,0.00002092374,0.000002212325,0.000394188,0.3134959,0.001448489,0.6842784,0.000009864749,0.00008847633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03818137,0.00002749856,0.954285,0.0009635627,0.00004315432,0.0009388206,0.000002880385,0.00005225214,0.00550544],"genre_scores_gemma":[0.09444273,0.00000404424,0.905048,0.0003032884,0.00006159925,0.000107432,0.000001220535,0.000008988228,0.00002267508],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3131139,"threshold_uncertainty_score":0.3865704,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1758780857209643,"score_gpt":0.4776070291628708,"score_spread":0.3017289434419065,"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."}}