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To bridge this gap, this article presents a comprehensive survey of NMF, focusing on its applications in both feature extraction and feature selection. We propose a novel classification scheme for dimensionality reduction to enhance understanding of its core principles. Subsequently, we delve into a thorough summary of diverse NMF approaches used for feature extraction and selection. Furthermore, we discuss the latest research trends and potential future directions for leveraging NMF in dimensionality reduction, aiming to highlight areas that need further exploration and development.<\/jats:p>\n                  <jats:p\/>","DOI":"10.1145\/3767726","type":"journal-article","created":{"date-parts":[[2025,9,13]],"date-time":"2025-09-13T07:23:05Z","timestamp":1757748185000},"page":"1-41","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":26,"title":["Nonnegative Matrix Factorization in Dimensionality Reduction: A Survey"],"prefix":"10.1145","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2718-229X","authenticated-orcid":false,"given":"Farid","family":"Saberi-Movahed","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Sciences and Modern Technologies, Graduate University of Advanced Technology","place":["Kerman, Iran (the Islamic Republic of)"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4459-0703","authenticated-orcid":false,"given":"Kamal","family":"Berahmand","sequence":"additional","affiliation":[{"name":"School of Engineering, RMIT University","place":["Melbourne, Australia"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3119-3349","authenticated-orcid":false,"given":"Razieh","family":"Sheikhpour","sequence":"additional","affiliation":[{"name":"Deparment of Computer Engineering, Faculty of Engineering, Ardakan University","place":["Ardakan, Iran (the Islamic Republic of)"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3594-8980","authenticated-orcid":false,"given":"Yuefeng","family":"Li","sequence":"additional","affiliation":[{"name":"School of Computer Sciences, Science and Engineering Faculty, Queensland University of Technology - QUT","place":["Brisbane, Australia"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0794-527X","authenticated-orcid":false,"given":"Shirui","family":"Pan","sequence":"additional","affiliation":[{"name":"School of Information and Communication Technology, Griffith University","place":["Brisbane, Australia"]}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0517-9420","authenticated-orcid":false,"given":"Mahdi","family":"Jalili","sequence":"additional","affiliation":[{"name":"School of Engineering, RMIT University","place":["Melbourne, Australia"]}]}],"member":"320","published-online":{"date-parts":[[2025,11,20]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2021.3088613"},{"key":"e_1_3_2_3_2","volume-title":"Introduction to Machine Learning (4 ed.)","author":"Alpaydin Ethem","year":"2020","unstructured":"Ethem Alpaydin. 2020. 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