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The differential evolution algorithm is an effective approach to address these problems, and LSHADE-SPACMA, the winning algorithm of CEC2017, is a competitive differential evolution variant. However, LSHADE-SPACMA\u2019s local exploitation capability can sometimes be insufficient when handling these challenges. Therefore, in this work, we propose a modified version of LSHADE-SPACMA (mLSHADE-SPACMA) for numerical optimization and point cloud registration. Compared to the original approach, this work presents three main innovations. First, we present a precise elimination and generation mechanism to enhance the algorithm\u2019s local exploitation ability. Second, we introduce a mutation strategy based on a modified semi-parametric adaptive strategy and rank-based selective pressure, which improves the algorithm\u2019s evolutionary direction. Third, we propose an elite-based external archiving mechanism, which ensures the diversity of the external population and can accelerate the algorithm\u2019s convergence progress. Additionally, we utilize the CEC2014 (Dim\u2009=\u200910, 30, 50, 100) and CEC2017 (Dim\u2009=\u200910, 30, 50, 100) test suites for numerical optimization experiments, comparing our approach against: (1) 10 recent CEC winner algorithms, including LSHADE, EBOwithCMAR, jSO, LSHADE-cnEpSin, HSES, LSHADE-RSP, ELSHADE-SPACMA, EA4eig, L-SRTDE, and LSHADE-SPACMA; (2) 4 advanced variants: APSM-jSO, LensOBLDE, ACD-DE, and MIDE. The results of the Wilcoxon signed-rank test and Friedman mean rank test demonstrate that mLSHADE-SPACMA not only outperforms the original LSHADE-SPACMA but also surpasses other high-performance optimizers, except that it is inferior L-SRTDE on CEC2017. Finally, 25 point cloud registration cases from the Fast Global Registration dataset are applied for simulation analysis to demonstrate the potential of the developed mLSHADE-SPACMA technique for solving practical optimization problems. The code is available at <jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"https:\/\/ww2.mathworks.cn\/matlabcentral\/fileexchange\/175175-mlshade-spacma\" ext-link-type=\"uri\">https:\/\/github.com\/ShengweiFu?tab=repositories and https:\/\/ww2.mathworks.cn\/matlabcentral\/fileexchange\/my-file-exchange<\/jats:ext-link>\n          <\/jats:p>","DOI":"10.1007\/s10462-024-11053-1","type":"journal-article","created":{"date-parts":[[2025,1,6]],"date-time":"2025-01-06T04:21:00Z","timestamp":1736137260000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":62,"title":["Modified LSHADE-SPACMA with new mutation strategy and external archive mechanism for numerical optimization and point cloud registration"],"prefix":"10.1007","volume":"58","author":[{"given":"Shengwei","family":"Fu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chi","family":"Ma","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ke","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cankun","family":"Xie","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qingsong","family":"Fan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haisong","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiangxue","family":"Xie","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guozhang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mingyang","family":"Yu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,1,6]]},"reference":[{"key":"11053_CR1","unstructured":"Awad, N. 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