{"id":35004,"date":"2023-09-15T17:15:05","date_gmt":"2023-09-15T09:15:05","guid":{"rendered":"https:\/\/www.fst.um.edu.mo\/personal\/?page_id=35004"},"modified":"2026-04-09T00:39:02","modified_gmt":"2026-04-08T16:39:02","slug":"zhixzhang","status":"publish","type":"page","link":"https:\/\/www.fst.um.edu.mo\/personal\/zhixzhang\/","title":{"rendered":"Zhixiang ZHANG"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"35004\" class=\"elementor elementor-35004\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-section elementor-top-section elementor-element elementor-element-61ea778 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"61ea778\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e2858ba\" data-id=\"e2858ba\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3378789 elementor-widget elementor-widget-text-editor\" data-id=\"3378789\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 style=\"text-align: center\"><b>Zhixiang Zhang<\/b><\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5a0ff95 elementor-widget elementor-widget-heading\" data-id=\"5a0ff95\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">B<b>io<\/b><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-section elementor-top-section elementor-element elementor-element-af84571 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"af84571\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-767527e\" data-id=\"767527e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-86fb750 elementor-widget elementor-widget-text-editor\" data-id=\"86fb750\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-family: Georgia, serif;font-size: medium\">I am an Assistant Professor in the Department of Mathematics at University of Macau. Previously,&nbsp; I was a postdoctoral researcher in the Department of Statistics and Data Science at&nbsp;<\/span><span style=\"font-family: Georgia, serif;font-size: medium;font-weight: var( --e-global-typography-text-font-weight )\">Wharton School, University of Pennsylvania, advised by Prof. Edgar Dobriban. I finshished my Ph.D. in statistics at Nanyang Technological University in 2021, under the supervision of Prof. Guangming Pan. Before my Ph.D., I received my bachelor&#8217;s degree from the School of Mathematical Sciences at University of Science and Technology of China in 2016.&nbsp;<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8667477 elementor-widget elementor-widget-heading\" data-id=\"8667477\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">Research interests<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8d0e4b0 elementor-widget elementor-widget-text-editor\" data-id=\"8d0e4b0\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Random matrix theory, High-dimensional statistics, Randomized algorithms\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4919768 elementor-widget elementor-widget-heading\" data-id=\"4919768\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Working papers<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1d5be72 elementor-widget-tablet__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"1d5be72\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div><span style=\"font-size: 12pt\">Zhixiang Zhang, Yachong Yang, Weijie J. Su, and Edgar Dobriban. &#8220;<\/span><span style=\"font-size: 16px\"><a href=\"https:\/\/www.fst.um.edu.mo\/personal\/wp-content\/uploads\/2025\/12\/Robust-inference-under-heteroskedasticity-via-the-Hadamard-Estimator.pdf\">Robust Inference Under Heteroskedasticity via the Hadamard Estimator.<\/a>&#8221; 2025<\/span><\/div><p><span style=\"font-size: 16px\">Leda Wang, Zhixiang Zhang, and Edgar Dobriban. &#8220;<a href=\"https:\/\/arxiv.org\/abs\/2404.00912\">Inference in Randomized Least Squares and PCA via Normality of Quadratic Forms.<\/a>&#8221; 2024<\/span><\/p><p style=\"font-size: 16px\"><span style=\"font-weight: bold\">Zhixiang Zhang<\/span>, Sokbae Lee, and Edgar Dobriban. &#8220;<a href=\"https:\/\/arxiv.org\/pdf\/2307.11255.pdf\" target=\"_blank\" rel=\"noopener\">A Framework for Statistical Inference via Randomized Algorithms<\/a>.&#8221;\u00a0 2023.<\/p><div>\u00a0<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8f8271d elementor-widget elementor-widget-heading\" data-id=\"8f8271d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Publications<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-section elementor-top-section elementor-element elementor-element-d989f8c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d989f8c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-53bfedf\" data-id=\"53bfedf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-375b8b5 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"375b8b5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Bo Zhang, <b>Zhixiang Zhang<\/b>, and Guangming Pan. &#8220;<a href=\"https:\/\/academic.oup.com\/biomet\/advance-article\/doi\/10.1093\/biomet\/asaf092\/8405386?guestAccessKey=\">Estimating the number of significant components in high-dimensional PCA.<\/a>&#8221; Biometrika, 2025.<\/p>\n<p>Xiaoyu Liu, Yiming Liu, Guangming Pan, Lingyue Zhang, and&nbsp;<span style=\"font-weight: bold\">Zhixiang Zhang<\/span>. &#8220;<a href=\"https:\/\/projecteuclid.org\/journals\/bernoulli\/volume-31\/issue-3\/Asymptotic-limits-of-spiked-eigenvalues-and-eigenvectors-of-signal-plus\/10.3150\/24-BEJ1808.short\">Asymptotic limits of spiked eigenvalues and eigenvectors of signal-plus-noise matrices with weak signals and heteroskedastic noise.<\/a>&#8221; Bernoulli, 2025.<\/p>\n<p><span style=\"color: var( --e-global-color-text )\"><b>Z<\/b><\/span><span style=\"color: var( --e-global-color-text )\"><b>hixiang Zhang<\/b><\/span><span style=\"color: var( --e-global-color-text )\">, Yiming Liu, and Guangming Pan. &#8220;Tracy-Widom law for the extreme eigenvalues of large signal-plus-noise matrices.&#8221;&nbsp; Bernoulli, 2023.<\/span><\/p>\n<p><span style=\"color: var( --e-global-color-text )\">Yiming Liu, Ying-Chang Liang, Guangming Pan, and <b>Zhixiang Zhang<\/b>. &#8220;<\/span><a href=\"https:\/\/ieeexplore.ieee.org\/document\/9877866\" target=\"_blank\" rel=\"noopener\">Random or Nonrandom Signal in High-Dimensional Regimes<\/a>.<span style=\"color: var( --e-global-color-text )\">&#8221; IEEE Transactions on Information Theory, 2022.<\/span><\/p>\n<p><b>Zhixiang Zhang<\/b>, Shurong Zheng, Guangming Pan, and Ping-Shou Zhong. &#8220;<a href=\"https:\/\/projecteuclid.org\/journals\/annals-of-statistics\/volume-50\/issue-4\/Asymptotic-independence-of-spiked-eigenvalues-and-linear-spectral-statistics-for\/10.1214\/22-AOS2183.short\" target=\"_blank\" rel=\"noopener\">Asymptotic independence of spiked eigenvalues and linear spectral statistics for large sample covariance matrices.<\/a>&#8221; The Annals of Statistics, 2022.<\/p><p><br><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6867397 elementor-widget elementor-widget-heading\" data-id=\"6867397\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><br>Teaching<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-96a3b6d elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"96a3b6d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li>Topics in Probability and Statistics,\u00a0 Spring 2026<\/li><li>Multivariate Data Analysis, Spring 2024-2026<\/li><li>Time Series Analysis, Autumn 2025<\/li><li>Linear Statistical Analysis, Autumn 2023-2025<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-834daa6 elementor-widget elementor-widget-heading\" data-id=\"834daa6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><br><br>Contact details<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-34767c5 elementor-widget elementor-widget-text-editor\" data-id=\"34767c5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Faculty of Science and Technology\u00a0<\/p><p>University of Macau, Avenida da Universidade, Taipa,\u00a0<\/p><p><span style=\"color: var( --e-global-color-text );font-family: var( --e-global-typography-text-font-family ), Sans-serif;font-weight: var( --e-global-typography-text-font-weight )\">Macau, China<\/span><\/p><p>\u00a0<\/p><p>Room: E11-3078<\/p><p>Telephone: (853) 8822-4153\u00a0<\/p><p>Email: zhixzhang@um.edu.mo<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section data-particle_enable=\"false\" data-particle-mobile-disabled=\"false\" class=\"elementor-section elementor-top-section elementor-element elementor-element-b9d6ad7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b9d6ad7\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cd09bab\" data-id=\"cd09bab\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-59038 elementor-widget elementor-widget-global elementor-global-59038 elementor-widget-heading\" data-id=\"59038\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><br><br>Contact details<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Zhixiang Zhang Bio I am an Assistant Professor in the Department of Mathematics at University of Macau. Previously,&nbsp; I was a postdoctoral researcher in the Department of Statistics and Data Science at&nbsp;Wharton School, University of Pennsylvania, advised by Prof. Edgar Dobriban. I finshished my Ph.D. in statistics at Nanyang Technological University in 2021, under the &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.fst.um.edu.mo\/personal\/zhixzhang\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Zhixiang ZHANG&#8221;<\/span><\/a><\/p>\n","protected":false},"author":200,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_canvas","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-35004","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/pages\/35004","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/users\/200"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/comments?post=35004"}],"version-history":[{"count":11,"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/pages\/35004\/revisions"}],"predecessor-version":[{"id":59046,"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/pages\/35004\/revisions\/59046"}],"wp:attachment":[{"href":"https:\/\/www.fst.um.edu.mo\/personal\/wp-json\/wp\/v2\/media?parent=35004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}