{"id":174,"date":"2004-09-24T06:52:00","date_gmt":"2004-09-24T06:52:00","guid":{"rendered":"http:\/\/localhost\/hasansaygin\/?post_type=makale&#038;p=174"},"modified":"2026-10-06T09:15:57","modified_gmt":"2026-10-06T09:15:57","slug":"a-recursive-algorithm-for-finding-hdmr-terms-for-sensitivity-analysis","status":"publish","type":"makale","link":"https:\/\/hasansaygin.com\/tr\/makale\/a-recursive-algorithm-for-finding-hdmr-terms-for-sensitivity-analysis\/","title":{"rendered":"A recursive algorithm for finding HDMR terms for sensitivity analysis"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Abstract<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">High Dimensional Model Representation (HDMR) is an ef\ufb01cient technique which decomposes a multivariate function into a constant, univariate, bivariate functions and so on. These functions are forced to be mutually orthogonal by means of an orthogonality condition. The technique which isgenerally used for high-dimensional input-output systems can be applied to various disciplines including sensitivity analysis, differential equations, inversion of data and so on. In this article we present a computer program that computes individual components of HDMR resolution of a given multivariate function. The program also calculates the global sensitivity indices. Lastly the results of the numerical experiments for different set of functions are introduced.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H. KAYA, M. KAPLAN and <strong>H. SAYGIN,<\/strong> \u201cA Recursive Algorithm for Finding HDMR Terms for Sensitivity Analysis\u201c, <strong>Computer Physics Communications<\/strong>, Vol. <strong>158<\/strong>, No.2, pp. 106\u2013112 <strong>(2004)<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abstract High Dimensional Model Representation (HDMR) is an ef\ufb01cient technique which decomposes a multivariate function into a constant, univariate, bivariate functions and&hellip;<\/p>\n","protected":false},"featured_media":175,"template":"","meta":[],"class_list":["post-174","makale","type-makale","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/makale\/174","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/makale"}],"about":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/types\/makale"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/media\/175"}],"wp:attachment":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/media?parent=174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}