{"id":"W7162293845","doi":"10.3997/2214-4609.2025101297","title":"Fast Evaluation of Helmholtz Equation using Proper Orthogonal Decomposition and Neural Networks","year":2025,"lang":"","type":"article","venue":"","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Artificial neural network; Helmholtz equation; Noise (video); Decomposition method (queueing theory); Decomposition; Helmholtz free energy; Generalization","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005574498,0.0005771734,0.0003903913,0.0003825726,0.0002679701,0.0006272903,0.0005573475,0.0005168183,0.002196994],"category_scores_gemma":[0.001782498,0.0003203086,0.0004331428,0.0003487564,0.000388866,0.0008344818,0.0007946566,0.0009342222,0.0005983074],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004924625,"about_ca_system_score_gemma":0.0008047803,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005942548,"about_ca_topic_score_gemma":0.006909124,"domain_scores_codex":[0.999817,0.00005106535,0.00001101986,0.00002580847,0.00007190306,0.00002333274],"domain_scores_gemma":[0.9995648,0.0001838254,0.00003714603,0.00005076142,0.0001374778,0.0000259496],"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":[0.0001265143,0.00006042429,0.001384393,0.0001043387,0.00004640629,0.00007583719,0.0000834634,0.8084447,0.01548699,0.01732149,0.002611437,0.154254],"study_design_scores_gemma":[0.000001090026,0.000002894265,0.00004494826,0.000001753134,6.275528e-7,0.00000242639,0.000002460521,0.9983628,0.0005834975,0.000848968,0.0001471512,0.000001358325],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04326386,0.0002130775,0.9519717,0.0002238302,0.0000500065,0.00003413857,0.00009509552,0.0007532148,0.003395062],"genre_scores_gemma":[0.5029166,0.0003076919,0.4911313,0.00009973886,0.00005023921,0.0001160736,0.0004491963,0.0002165307,0.004712638],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005942548,"threshold_uncertainty_score":0.01181591,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05583211280769265,"score_gpt":0.3399068149086853,"score_spread":0.2840747021009927,"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."}}