{"id":"W2000390281","doi":"10.1093/qjmam/hbt004","title":"Uncertainty analysis of effective elasticity tensors using quaternion-based global optimization and Monte-Carlo method","year":2013,"lang":"en","type":"article","venue":"The Quarterly Journal of Mechanics and Applied Mathematics","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Research and Development Corporation of Newfoundland and Labrador","keywords":"Quaternion; Mathematics; Tensor (intrinsic definition); Monte Carlo method; Mathematical optimization; Applied mathematics; Isotropy; Elasticity (physics); Physics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003570665,0.0009246119,0.001479003,0.001508948,0.0005862245,0.001454724,0.001334338,0.001463691,0.001493191],"category_scores_gemma":[0.006497149,0.0007877838,0.001145425,0.0009654983,0.00194738,0.001398242,0.001168378,0.001169418,0.0002031835],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001469341,"about_ca_system_score_gemma":0.001595902,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007047593,"about_ca_topic_score_gemma":0.003828717,"domain_scores_codex":[0.9992695,0.0003376269,0.00003384709,0.0000877632,0.0002056625,0.00006562605],"domain_scores_gemma":[0.9962398,0.002744379,0.0003749024,0.0001604188,0.0003723682,0.0001082028],"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":[0.000009060506,0.000005159695,0.0001232087,0.0000138266,0.000008669092,0.00001392713,0.000009238875,0.9899081,0.0002099568,0.007968613,0.0000717272,0.001658455],"study_design_scores_gemma":[0.000001369995,0.000002017581,0.00001984368,0.000002259813,0.000001150213,0.000001590759,0.000001355864,0.9974286,0.00007273996,0.00241345,0.0000532738,0.000002333093],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01034303,0.0001596555,0.9879289,0.0001409666,0.00001693231,0.00002396769,0.00002773177,0.0000852797,0.001273623],"genre_scores_gemma":[0.6447231,0.0005351084,0.3515601,0.0001448286,0.00007421551,0.0002723385,0.0002175024,0.0002546507,0.002218064],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007047593,"threshold_uncertainty_score":0.01888371,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007368553741144867,"score_gpt":0.2468713861299824,"score_spread":0.2395028323888375,"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."}}