{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T17:05:22Z","timestamp":1648746322664},"reference-count":15,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The technique of approximate partition of unity, the way of Fourier series, and inequality technique are used to construct a neural network with two weights and with sigmoidal functions. Furthermore by using inequality technique, we prove that the neural network with two weights can more precisely approximate any nonlinear continuous function than BP neural network constructed in (Chen et al., 2012).<\/jats:p>","DOI":"10.1155\/2014\/892653","type":"journal-article","created":{"date-parts":[[2014,8,13]],"date-time":"2014-08-13T18:59:48Z","timestamp":1407956388000},"page":"1-6","source":"Crossref","is-referenced-by-count":0,"title":["The Construction and Approximation of the Neural Network with Two Weights"],"prefix":"10.1155","volume":"2014","author":[{"given":"Zhiyong","family":"Quan","sequence":"first","affiliation":[{"name":"College of Mathematics, Hunan University, Changsha 410082, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhengqiu","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Mathematics, Hunan University, Changsha 410082, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2010.01.004"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2007.07.024"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s11766-012-2719-9"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ocemod.2003.12.008"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.04.019"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.05.001"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1360\/02yf0221"},{"issue":"2","key":"8","first-page":"189","volume":"30","year":"2007","journal-title":"Chinese Journal of Computers"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2013.03.015"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2013.07.009"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2009.04-08-745"},{"issue":"3","key":"9","first-page":"373","volume":"13","year":"2004","journal-title":"Chinese Journal of Electronics"},{"issue":"10","key":"10","first-page":"1671","volume":"32","year":"2004","journal-title":"Chinese Journal of Electronics"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-013-0643-7"},{"key":"12","year":"1971"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/892653.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/892653.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/892653.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T06:53:09Z","timestamp":1469775189000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/892653\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":15,"alternative-id":["892653","892653"],"URL":"https:\/\/doi.org\/10.1155\/2014\/892653","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}