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Instead of incorporating the stochastic gradient boosting method into ELM ensemble procedure primitively, SGB-ELM constructs a sequence of weak ELMs where each individual ELM is trained additively by optimizing the regularized objective. Specifically, we design an objective function based on the boosting mechanism where a regularization item is introduced simultaneously to alleviate overfitting. Then the derivation formula aimed at solving the output-layer weights of each weak ELM is determined using the second-order optimization. As the derivation formula is hard to be analytically calculated and the regularized objective tends to employ simple functions, we take the output-layer weights learned by the current pseudo residuals as an initial heuristic item and thus obtain the optimal output-layer weights by using the derivation formula to update the heuristic item iteratively. In comparison with several typical ELM ensemble methods, SGB-ELM achieves better generalization performance and predicted robustness, which demonstrates the feasibility and effectiveness of SGB-ELM.<\/jats:p>","DOI":"10.1155\/2018\/4058403","type":"journal-article","created":{"date-parts":[[2018,6,26]],"date-time":"2018-06-26T19:31:39Z","timestamp":1530041499000},"page":"1-14","source":"Crossref","is-referenced-by-count":5,"title":["SGB-ELM: An Advanced Stochastic Gradient Boosting-Based Ensemble Scheme for Extreme Learning Machine"],"prefix":"10.1155","volume":"2018","author":[{"given":"Hua","family":"Guo","sequence":"first","affiliation":[{"name":"School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730020, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5926-7007","authenticated-orcid":true,"given":"Jikui","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Computer Science & Software Engineering, Shenzhen University, Shenzhen 518060, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4826-1309","authenticated-orcid":true,"given":"Wei","family":"Ao","sequence":"additional","affiliation":[{"name":"College of Computer Science & Software Engineering, Shenzhen University, Shenzhen 518060, China"}]},{"given":"Yulin","family":"He","sequence":"additional","affiliation":[{"name":"College of Computer Science & Software Engineering, Shenzhen University, Shenzhen 518060, China"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2005.12.126"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2011.2168604"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100030401"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2010.2053356"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.09.015"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2013.09.042"},{"volume":"2017","journal-title":"Computational Intelligence and Neuroscience","year":"2017","key":"8"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2013.09.070"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2013.02.052"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.03.075"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2011.12.046"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2013.2263382"},{"issue":"2","key":"14","first-page":"123","volume":"24","year":"1996","journal-title":"Machine Learning"},{"key":"15","first-page":"771","volume":"14","year":"1999","journal-title":"Journal of Japanese Society For Artificial Intelligence"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/72.80233"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2017.01.019"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/3477.678637"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1013203451"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/s0167-9473(01)00065-2"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492900002518"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2007.909318"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1992.4.2.141"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1109\/18.661502"},{"issue":"2-3","key":"25","first-page":"255","volume":"17","year":"2011","journal-title":"Journal of Multiple-Valued Logic and Soft Computing"},{"year":"2013","key":"26"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1038\/323533a0"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.4310\/SII.2009.v2.n3.a8"}],"container-title":["Computational Intelligence and Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2018\/4058403.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2018\/4058403.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2018\/4058403.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,6,26]],"date-time":"2018-06-26T19:31:49Z","timestamp":1530041509000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/cin\/2018\/4058403\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,26]]},"references-count":27,"alternative-id":["4058403","4058403"],"URL":"https:\/\/doi.org\/10.1155\/2018\/4058403","relation":{},"ISSN":["1687-5265","1687-5273"],"issn-type":[{"type":"print","value":"1687-5265"},{"type":"electronic","value":"1687-5273"}],"subject":[],"published":{"date-parts":[[2018,6,26]]}}}