{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T13:39:11Z","timestamp":1777469951995,"version":"3.51.4"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61603275"],"award-info":[{"award-number":["61603275"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61601329"],"award-info":[{"award-number":["61601329"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100006606","name":"Natural Science Foundation of Tianjin City","doi-asserted-by":"crossref","award":["15JCYBJC52300"],"award-info":[{"award-number":["15JCYBJC52300"]}],"id":[{"id":"10.13039\/501100006606","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100006606","name":"Natural Science Foundation of Tianjin City","doi-asserted-by":"crossref","award":["15JCYBJC51500"],"award-info":[{"award-number":["15JCYBJC51500"]}],"id":[{"id":"10.13039\/501100006606","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Artif. Intell. Tools"],"published-print":{"date-parts":[[2017,12]]},"abstract":"<jats:p> The effectiveness of cross entropy (CE) method has been investigated on both combinatorial and continuous optimization problems, though it lacks exploitative search to refine solutions. Hybrid with local search (LS) method can greatly improve the performance of evolutionary algorithm. This paper proposes a parameter-less framework combining CE with LS method. Four LS methods are chosen and four combination algorithms are obtained after combining them with the CE method. We first study the performance of the four combinations on a set of twenty eight mathematical functions including both unimodal and multimodal functions. CE hybrid with Powell\u2019s method (CE-Pow) is identified as the most effective algorithm. Then the CE-Pow algorithm is applied to resolve proportional, integral, and derivative (PID) controller design problem and Lennard-Jones potential problem. Its performance has been verified by comparing with four state of the art evolutionary algorithms. Experimental results show that CE-Pow significantly outperforms other benchmark algorithms. <\/jats:p>","DOI":"10.1142\/s0218213017500208","type":"journal-article","created":{"date-parts":[[2017,9,18]],"date-time":"2017-09-18T02:02:12Z","timestamp":1505700132000},"page":"1750020","source":"Crossref","is-referenced-by-count":2,"title":["Cross Entropy Method Meets Local Search for Continuous Optimization Problems"],"prefix":"10.1142","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3088-4399","authenticated-orcid":false,"given":"Xin","family":"Zhang","sequence":"first","affiliation":[{"name":"Tianjin Key Laboratory of Wireless Mobile Communications and Power Transmission, Tianjin Normal University, Tianjin 300387, China"},{"name":"College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin 300387, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiu","family":"Zhang","sequence":"additional","affiliation":[{"name":"Tianjin Key Laboratory of Wireless Mobile Communications and Power Transmission, Tianjin Normal University, Tianjin 300387, China"},{"name":"College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin 300387, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,12,12]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1010091220143"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11009-006-9753-0"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2011.08.003"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-006-9041-0"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2008.11.022"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1057\/jors.2008.77"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2007.10.001"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2010.2044380"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2010.2090865"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2012.04.015"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-005-5724-z"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.11.051"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2015.08.009"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2013.05.012"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1007\/s12293-010-0032-9"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1007\/s12293-015-0159-9"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-0578(07)60103-7"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.12.101"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1016\/j.enconman.2015.12.049"},{"issue":"15","key":"p_27","first-page":"8121","volume":"219","author":"Civicioglu P.","year":"2013","journal-title":"Appl. Math. Comput."},{"key":"p_28","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2010.2087271"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.03.004"},{"key":"p_31","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-005-4555-9"},{"key":"p_32","doi-asserted-by":"publisher","DOI":"10.1109\/4235.771166"}],"container-title":["International Journal on Artificial Intelligence Tools"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218213017500208","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:44:08Z","timestamp":1565124248000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218213017500208"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12]]},"references-count":24,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2017,12,12]]},"published-print":{"date-parts":[[2017,12]]}},"alternative-id":["10.1142\/S0218213017500208"],"URL":"https:\/\/doi.org\/10.1142\/s0218213017500208","relation":{},"ISSN":["0218-2130","1793-6349"],"issn-type":[{"value":"0218-2130","type":"print"},{"value":"1793-6349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,12]]}}}