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The present work proposes two variations for this method. The first significantly improves the termination of the method by proposing an asymptotic termination rule, which is based on the differentiation of the average of the function values in the population of DE. The second modification proposes a new scheme for a critical parameter of the method, which improves the method\u2019s ability to better explore the search space of the objective function. The proposed variations have been tested on a number of problems from the current literature, and from the experimental results, it appears that the proposed modifications render the method quite robust and faster even in large-scale problems.<\/jats:p>","DOI":"10.3390\/sym14030447","type":"journal-article","created":{"date-parts":[[2022,2,24]],"date-time":"2022-02-24T00:53:26Z","timestamp":1645664006000},"page":"447","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Modifications for the Differential Evolution Algorithm"],"prefix":"10.3390","volume":"14","author":[{"given":"Vasileios","family":"Charilogis","sequence":"first","affiliation":[{"name":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ioannis G.","family":"Tsoulos","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9043-1290","authenticated-orcid":false,"given":"Alexandros","family":"Tzallas","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6243-3755","authenticated-orcid":false,"given":"Evangelos","family":"Karvounis","sequence":"additional","affiliation":[{"name":"Department of Informatics and Telecommunications, University of Ioannina, 47150 Kostaki Artas, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1515\/nanoph-2020-0376","article-title":"Machine learning\u2013assisted global optimization of photonic devices","volume":"10","author":"Kudyshev","year":"2021","journal-title":"Nanophotonics"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"214311","DOI":"10.1063\/1.4769282","article-title":"Density-functional global optimization of (LA2O3)n Clusters","volume":"137","author":"Ding","year":"2012","journal-title":"J. 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