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A least-square minimization technique may be used to determine the coefficients of the sparse PCE by relying on the so-called experimental design (ED), i.e., the sample points where the original computational model is evaluated. An efficient sampling strategy is then needed to generate an accurate PCE at low computational cost. This paper is concerned with the problem of identifying an optimal ED that maximizes the accuracy of the surrogate model over the whole input space within a given computational budget. A novel sequential adaptive strategy where the ED is enriched sequentially by capitalizing on the sparsity of the underlying metamodel is introduced. A comparative study between several state-of-the-art methods is performed on four numerical models with varying input dimensionality and computational complexity. It is shown that the optimal sequential design based on the $S$-value criterion yields accurate, stable, and computationally efficient PCEs.<\/jats:p>","DOI":"10.1137\/16m1103488","type":"journal-article","created":{"date-parts":[[2017,11,14]],"date-time":"2017-11-14T11:36:04Z","timestamp":1510659364000},"page":"1061-1085","source":"Crossref","is-referenced-by-count":68,"title":["Sequential Design of Experiment for Sparse Polynomial Chaos Expansions"],"prefix":"10.1137","volume":"5","author":[{"given":"Noura","family":"Fajraoui","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9268-9014","authenticated-orcid":true,"given":"Stefano","family":"Marelli","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bruno","family":"Sudret","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2017,11,14]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1109\/43.124423"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.3166\/remn.15.81-92"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1016\/j.probengmech.2009.10.003"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2010.12.021"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1137\/13091899X"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2014050"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.2514\/1.2220"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.05.032"},{"key":"atypb9","unstructured":"M. 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