{"id":"W3204586775","doi":"10.1007/978-3-030-81362-8_10","title":"Efficiently Transforming from Values of a Function on a Sparse Grid to Basis Coefficients","year":2021,"lang":"en","type":"book-chapter","venue":"Lecture notes in computational science and engineering","topic":"Probabilistic and Robust Engineering Design","field":"Decision Sciences","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Sparse grid; Mathematics; Basis (linear algebra); Function (biology); Transformation (genetics); Piecewise; Basis function; Combinatorics; Discrete mathematics; Applied mathematics; Mathematical analysis; Geometry","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":[0.0003025805,0.0005343785,0.0005389382,0.0004858449,0.0002017559,0.001007517,0.0006479168,0.0004910551,0.0057607],"category_scores_gemma":[0.001873196,0.0002866633,0.0004298003,0.0009879825,0.0004203439,0.001089613,0.001398536,0.0009788685,0.002874534],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000206952,"about_ca_system_score_gemma":0.0003780808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001247762,"about_ca_topic_score_gemma":0.001981503,"domain_scores_codex":[0.9997696,0.00003575813,0.00001086668,0.00002810373,0.0001311404,0.00002455935],"domain_scores_gemma":[0.9995796,0.0001687766,0.00001885883,0.0001373992,0.00007820919,0.00001726977],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001845186,0.0000664032,0.0004878901,0.0001957574,0.00003174608,0.0001563675,0.0001470325,0.08588625,0.0617043,0.0566299,0.01269135,0.7818185],"study_design_scores_gemma":[0.00003331565,0.0000739384,0.0004234045,0.00003080678,0.000016298,0.0002764388,0.0001283343,0.8603419,0.04523793,0.07345437,0.01996259,0.00002071759],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0114963,0.0000584351,0.9826355,0.00006104697,0.00004236342,0.00002881848,0.0001472864,0.001411677,0.004118591],"genre_scores_gemma":[0.1006468,0.0002425919,0.8918248,0.00006378423,0.00002773345,0.00007151858,0.0007373267,0.0007105755,0.005674962],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0057607,"threshold_uncertainty_score":0.01927143,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03938774249785802,"score_gpt":0.2752484915521344,"score_spread":0.2358607490542764,"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."}}