{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T13:16:53Z","timestamp":1773235013658,"version":"3.50.1"},"reference-count":32,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2010,12,1]],"date-time":"2010-12-01T00:00:00Z","timestamp":1291161600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Neural Netw."],"published-print":{"date-parts":[[2010,12]]},"DOI":"10.1109\/tnn.2010.2082561","type":"journal-article","created":{"date-parts":[[2010,11,10]],"date-time":"2010-11-10T20:38:56Z","timestamp":1289421536000},"page":"1939-1949","source":"Crossref","is-referenced-by-count":28,"title":["Periodic Activation Function and a Modified Learning Algorithm for the Multivalued Neuron"],"prefix":"10.1109","volume":"21","author":[{"given":"Igor","family":"Aizenberg","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(03)00168-0"},{"key":"ref31","first-page":"224","volume":"1","author":"schwarz","year":"1972","journal-title":"Gesammelte Mathematische Abhandlungen"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/IMSCCS.2007.46"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-31182-3_55"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-006-0075-5"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2007.914158"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1002\/0471427950"},{"key":"ref14","author":"haykin","year":"1998","journal-title":"Neural Networks A Comprehensive Foundation"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2440-0"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01068329"},{"key":"ref17","first-page":"347","article-title":"a multi-valued neuron with a periodic activation function","author":"aizenberg","year":"2009","journal-title":"Proc Int Conf Intell Comput"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2010.5596509"},{"key":"ref19","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-33457-6","author":"hirose","year":"2006","journal-title":"Complex-Valued Neural Networks"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"2747","DOI":"10.1109\/ICMLC.2004.1378327","article-title":"using statistical analysis and support vector machine classification to detect complicated attacks","author":"tian","year":"2004","journal-title":"Proc 3rd Int Conf Mach Learn Cybern"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3115-6"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2002.1007597"},{"key":"ref3","author":"aizenberg","year":"1977","journal-title":"Multiple-Valued Threshold Logic"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1109\/72.914540","article-title":"improving the capacity of complex-valued neural networks with a modified gradient descent learning rule","volume":"12","author":"lee","year":"2001","journal-title":"IEEE Trans Neural Netw"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2002.804311"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/72.548176"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45723-2_44"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2003.813844"},{"key":"ref2","first-page":"1287","article-title":"about one generalization of the threshold function","volume":"196","author":"aizenberg","year":"1971","journal-title":"Dokl Akad Nauk SSSR (Rep Acad Sci USSR)"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/CNNA.1992.274330"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016331805575"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1002\/9780470742624"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2003.810486"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.04.006"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-007-0204-9"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2008.03-07-489"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ITI.2006.1708473"},{"key":"ref25","author":"asuncion","year":"2007","journal-title":"UCI Machine Learning Repository School Inform Comput Sci"}],"container-title":["IEEE Transactions on Neural Networks"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/72\/5641657\/05613940.pdf?arnumber=5613940","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,27]],"date-time":"2025-02-27T18:52:11Z","timestamp":1740682331000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5613940\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":32,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tnn.2010.2082561","relation":{},"ISSN":["1045-9227","1941-0093"],"issn-type":[{"value":"1045-9227","type":"print"},{"value":"1941-0093","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}