{"id":5818,"date":"2024-11-26T20:00:31","date_gmt":"2024-11-26T12:00:31","guid":{"rendered":"https:\/\/changjinyuan.com\/?p=5818"},"modified":"2026-05-02T22:21:43","modified_gmt":"2026-05-02T14:21:43","slug":"zhou-w-kang-x-zhong-w-wang-j-2025-efficient-learning-of-dag-structures-in-heavy-tailed-data-statistica-sinica-in-press-2","status":"publish","type":"post","link":"https:\/\/changjinyuan.com\/index.php\/publications\/publications-all\/5818\/","title":{"rendered":"Zhang, X., \u5468\u73ae, Liu, J., &#038; Kang, J. (2026+). Statistical inference for mediation models with high dimensional exposures and mediators. Journal of the American Statistical Association, in press."},"content":{"rendered":"<p>High-dimensional mediation analysis has gained increasing interest in various fields, particularly in genetic and medical research. Compared with existing works that focus mainly on high-dimensional mediators, this paper advocates a new framework of Partial Regularization-based Inference for Mediation Effects (PRIME) when both exposures and mediators are high-dimensional. Estimated direct and indirect effects are established using a group-wise partially penalized least squares method, incorporating a double-layer latent factor structure. F-type and Wald tests for the high-dimensional direct and indirect effects, respectively, are advocated based on the proposed estimators. Both theoretical and numerical performance of PRIME have been carefully studied. PRIME is also applied to investigating direct effects of genetic variants on Alzheimer\u2019s disease (AD) and indirect effects of them mediated by changes in brain activity intensity.<\/p>\r\n\r\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" style=\"width: 100%; height: 600px;\" data=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2026\/05\/Statistical-Inference-for-Mediation-Models-with-High-Dimensional-Exposures-and-Mediators.pdf\" width=\"300\" height=\"150\" aria-label=\"\u5d4c\u5165 &lt;strong&gt;&lt;mark style=&quot;background-color:rgba(0, 0, 0, 0)&quot; class=&quot;has-inline-color has-vivid-cyan-blue-color&quot;&gt;Efficient learning of quadratic variance function directed acyclic graphs via topological layers, Journal.pdf&lt;\/mark&gt;&lt;\/strong&gt;\"><\/object><a id=\"wp-block-file--media-02bd62e4-cf74-42a9-a909-31e1b0ac88a5\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2026\/05\/Statistical-Inference-for-Mediation-Models-with-High-Dimensional-Exposures-and-Mediators.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark class=\"has-inline-color has-vivid-cyan-blue-color\" style=\"background-color: rgba(0, 0, 0, 0);\">Statistical inference for mediation models with high dimensional exposures and mediators.pdf<\/mark><\/strong><\/a><a class=\"wp-block-file__button wp-element-button\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2026\/05\/Statistical-Inference-for-Mediation-Models-with-High-Dimensional-Exposures-and-Mediators.pdf\" download=\"\" aria-describedby=\"wp-block-file--media-02bd62e4-cf74-42a9-a909-31e1b0ac88a5\">\u4e0b\u8f7d<\/a><\/div>\r\n","protected":false},"excerpt":{"rendered":"<p>High-dimensional mediation analysis has gained increasing interest in various fields, particularly in genetic and medical research. Compared with existing works that focus mainly on high-dimensional mediators, this paper advocates a new framework of Partial Regularization-based Inference for Mediation Effects (PRIME) when both exposures and mediators are high-dimensional. Estimated direct and indirect effects are established using a group-wise partially penalized least squares method, incorporating a double-layer latent factor structure. F-type and Wald tests for the high-dimensional direct and indirect effects, respectively, are advocated based on the proposed estimators. Both theoretical and numerical performance of PRIME have been carefully studied. PRIME is also applied to investigating direct effects of genetic variants on Alzheimer\u2019s disease (AD) and indirect effects of them mediated by changes in brain activity intensity.<\/p>\n","protected":false},"author":1,"featured_media":5820,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[15],"tags":[],"class_list":["post-5818","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publications-all"],"acf":[],"lang":"cn","translations":{"cn":5818,"en":5814},"pll_sync_post":[],"_links":{"self":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/5818","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/comments?post=5818"}],"version-history":[{"count":1,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/5818\/revisions"}],"predecessor-version":[{"id":5819,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/5818\/revisions\/5819"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/media\/5820"}],"wp:attachment":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/media?parent=5818"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/categories?post=5818"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/tags?post=5818"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}