{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T21:47:43Z","timestamp":1742939263015,"version":"3.40.3"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319124353"},{"type":"electronic","value":"9783319124360"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-12436-0_3","type":"book-chapter","created":{"date-parts":[[2014,11,21]],"date-time":"2014-11-21T13:16:45Z","timestamp":1416575805000},"page":"19-26","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Proof of a Key Formula in the Error-Backpropagation Learning Algorithm for Multiple Spiking Neural Networks"],"prefix":"10.1007","author":[{"given":"Wenyu","family":"Yang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dakun","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yetian","family":"Fan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,11,19]]},"reference":[{"key":"3_CR1","doi-asserted-by":"publisher","first-page":"1659","DOI":"10.1016\/S0893-6080(97)00011-7","volume":"10","author":"W Maass","year":"1997","unstructured":"Maass, W.: Networks of spiking neurons: the third generation of neural network. Neural Networks 10, 1659\u20131671 (1997)","journal-title":"Neural Networks"},{"issue":"6","key":"3_CR2","doi-asserted-by":"publisher","first-page":"1785","DOI":"10.1109\/TNN.2007.899623","volume":"18","author":"K Voutsas","year":"2007","unstructured":"Voutsas, K., Adamy, J.: A biologically inspired spiking neural network for sound source lateralization. IEEE Trans. Neural Netw. 18(6), 1785\u20131799 (2007)","journal-title":"IEEE Trans. Neural Netw."},{"key":"3_CR3","doi-asserted-by":"publisher","first-page":"2563","DOI":"10.1016\/j.neucom.2007.12.038","volume":"71","author":"SG Wysoski","year":"2008","unstructured":"Wysoski, S.G., Benuscova, L., Kasabov, N.: Fast and adaptive network of spiking neurons for multi-view visual pattern recongnition. Neurocomputing 71, 2563\u20132575 (2008)","journal-title":"Neurocomputing"},{"key":"3_CR4","doi-asserted-by":"publisher","first-page":"1419","DOI":"10.1016\/j.neunet.2009.04.003","volume":"22","author":"S Ghosh-Dastidar","year":"2009","unstructured":"Ghosh-Dastidar, S., Adeli, H.: A new supervised learning algorithm for multiple spiking neural networks with application in epilepsy and seizure detection. Neural Networks 22, 1419\u20131431 (2009)","journal-title":"Neural Networks"},{"issue":"1\u20133","key":"3_CR5","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1016\/j.neucom.2009.10.030","volume":"74","author":"J Liu","year":"2010","unstructured":"Liu, J., Perez-Gonzalez, D., Rees, A., Erwin, H., Wermter, S.: A biologically inspired spiking neural network model of the auditory midbrain for sound source localisation. Neurocomputing 74(1\u20133), 129\u2013139 (2010)","journal-title":"Neurocomputing"},{"key":"3_CR6","doi-asserted-by":"publisher","first-page":"819","DOI":"10.1016\/j.neunet.2010.04.009","volume":"23","author":"SG Wysoski","year":"2010","unstructured":"Wysoski, S.G., Benuskova, L., Kasabov, N.: Evolving spiking neural networks for audiovisual information processing. Neural Networks 23, 819\u2013835 (2010)","journal-title":"Neural Networks"},{"issue":"11","key":"3_CR7","doi-asserted-by":"publisher","first-page":"1817","DOI":"10.1109\/TNN.2010.2074212","volume":"21","author":"J Wade","year":"2010","unstructured":"Wade, J., McDaid, L., Santos, J., Sayers, H.: SWAT: A spiking neural network training algorithm for classification problems. IEEE Trans. Neural Netw. 21(11), 1817\u20131830 (2010)","journal-title":"IEEE Trans. Neural Netw."},{"issue":"4","key":"3_CR8","doi-asserted-by":"publisher","first-page":"574","DOI":"10.1109\/TNNLS.2011.2178317","volume":"23","author":"JA Wall","year":"2012","unstructured":"Wall, J.A., McDaid, L.J., Maguire, L.P., McGinnity, T.M.: Spiking neural network model of sound localization using the interaural intensity difference. IEEE Transactions on Neural Network and Learning System 23(4), 574\u2013586 (2012)","journal-title":"IEEE Transactions on Neural Network and Learning System"},{"issue":"1\u20134","key":"3_CR9","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/S0925-2312(01)00658-0","volume":"48","author":"SM Bohte","year":"2002","unstructured":"Bohte, S.M., Kok, J.N., La Poutre, J.A.: Error-backpropagation in temporally encoded networks of spiking neurons. Neurocomputing 48(1\u20134), 17\u201337 (2002)","journal-title":"Neurocomputing"},{"key":"3_CR10","doi-asserted-by":"crossref","first-page":"187","DOI":"10.3233\/ICA-2007-14301","volume":"14","author":"S Ghosh-Dastidar","year":"2007","unstructured":"Ghosh-Dastidar, S., Adeli, H.: Improved spiking neural networks for EEG classification and epilepsy and seizure detection. Integrated Computer-Aided Engineering 14, 187\u2013212 (2007)","journal-title":"Integrated Computer-Aided Engineering"},{"issue":"6","key":"3_CR11","doi-asserted-by":"publisher","first-page":"552","DOI":"10.1016\/j.ipl.2005.05.023","volume":"95","author":"O Booij","year":"2005","unstructured":"Booij, O., Nguyen, H.T.: A gradient descent rule for spiking neurons emitting multiple spikes. Inf. Process. Lett. 95(6), 552\u2013558 (2005)","journal-title":"Inf. Process. Lett."},{"key":"3_CR12","doi-asserted-by":"crossref","unstructured":"McKennoch, S., Liu, D., Bushnell, L.G.: Fast modifications of the SpikeProp algorithm. In: Proceedings of the International Joint Conference on Neural Networks, pp. 3970\u20133977 (2006)","DOI":"10.1109\/IJCNN.2006.246918"},{"key":"3_CR13","doi-asserted-by":"publisher","first-page":"1912","DOI":"10.1016\/j.neucom.2005.11.023","volume":"69","author":"QX Wu","year":"2006","unstructured":"Wu, Q.X., McGinnity, T.M., Maguire, L.P., Glackin, B., Belatreche, A.: Learning under weight constraints in networks of temporal encoding spiking neurons. Neurocomputing 69, 1912\u20131922 (2006)","journal-title":"Neurocomputing"},{"key":"3_CR14","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.neunet.2013.02.003","volume":"43","author":"Y Xu","year":"2013","unstructured":"Xu, Y., Zeng, X.Q., Han, L.X., Yang, J.: A supervised multi-spike learning algorithm based on gradient descent for spiking neural networks. Neural Networks 43, 99\u2013113 (2013)","journal-title":"Neural Networks"}],"container-title":["Lecture Notes in Computer Science","Advances in Neural Networks \u2013 ISNN 2014"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-12436-0_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,1]],"date-time":"2023-02-01T12:16:55Z","timestamp":1675253815000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-12436-0_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783319124353","9783319124360"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-12436-0_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"19 November 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}