{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T02:31:42Z","timestamp":1775874702706,"version":"3.50.1"},"reference-count":50,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Neur. Syst."],"published-print":{"date-parts":[[2012,8]]},"abstract":"<jats:p> Spiking Neural Networks (SNN) were shown to be suitable tools for the processing of spatio-temporal information. However, due to their inherent complexity, the formulation of efficient supervised learning algorithms for SNN is difficult and remains an important problem in the research area. This article presents SPAN \u2014 a spiking neuron that is able to learn associations of arbitrary spike trains in a supervised fashion allowing the processing of spatio-temporal information encoded in the precise timing of spikes. The idea of the proposed algorithm is to transform spike trains during the learning phase into analog signals so that common mathematical operations can be performed on them. Using this conversion, it is possible to apply the well-known Widrow\u2013Hoff rule directly to the transformed spike trains in order to adjust the synaptic weights and to achieve a desired input\/output spike behavior of the neuron. In the presented experimental analysis, the proposed learning algorithm is evaluated regarding its learning capabilities, its memory capacity, its robustness to noisy stimuli and its classification performance. Differences and similarities of SPAN regarding two related algorithms, ReSuMe and Chronotron, are discussed. <\/jats:p>","DOI":"10.1142\/s0129065712500128","type":"journal-article","created":{"date-parts":[[2012,6,8]],"date-time":"2012-06-08T07:25:44Z","timestamp":1339140344000},"page":"1250012","source":"Crossref","is-referenced-by-count":228,"title":["SPAN: SPIKE PATTERN ASSOCIATION NEURON FOR LEARNING SPATIO-TEMPORAL SPIKE PATTERNS"],"prefix":"10.1142","volume":"22","author":[{"given":"AMMAR","family":"MOHEMMED","sequence":"first","affiliation":[{"name":"Knowledge Engineering and Discovery Research Institute, Auckland University of Technology, New Zealand"}]},{"given":"STEFAN","family":"SCHLIEBS","sequence":"additional","affiliation":[{"name":"Knowledge Engineering and Discovery Research Institute, Auckland University of Technology, New Zealand"}]},{"given":"SATOSHI","family":"MATSUDA","sequence":"additional","affiliation":[{"name":"Department of Mathematical Information Engineering, Nihon University, Japan"}]},{"given":"NIKOLA","family":"KASABOV","sequence":"additional","affiliation":[{"name":"Knowledge Engineering and Discovery Research Institute, Auckland University of Technology, New Zealand"},{"name":"Institute for Neuroinformatics, ETH and University of Zurich, Switzerland"}]}],"member":"219","published-online":{"date-parts":[[2012,7,25]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511815706"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(97)00011-7"},{"key":"rf3","volume-title":"Pulsed Neural Networks","author":"Maass W.","year":"1999"},{"key":"rf4","doi-asserted-by":"crossref","unstructured":"W.\u00a0Maass, Pulsed Neural Networks (MIT Press, Cambridge, MA, USA, 1999)\u00a0pp. 55\u201385.","DOI":"10.7551\/mitpress\/5704.001.0001"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065709002002"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1162\/089976699300016494"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1162\/089976698300017502"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1023\/B:NACO.0000027755.02868.60"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.tins.2004.10.010"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1038\/nrn2315"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1038\/nature06105"},{"key":"rf12","first-page":"1","volume":"6","author":"Szatmry B.","journal-title":"PLoS Comput. Biol."},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1038\/376033a0"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-2312(01)00658-0"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065711002742"},{"key":"rf16","author":"Kasabov N.","journal-title":"IEEE Trans. Auton. Mental Develop"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065711002705"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065711002900"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065710002589"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065708001580"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.2528\/PIER10122203"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065710002553"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2010.04.009"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2009.04.003"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1142\/S012906571000253X"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065710002541"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065710002577"},{"key":"rf29","doi-asserted-by":"crossref","first-page":"129","DOI":"10.2478\/v10006-008-0012-0","volume":"18","author":"Uysal I.","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2008.20.1.91"},{"key":"rf31","doi-asserted-by":"crossref","first-page":"187","DOI":"10.3233\/ICA-2007-14301","volume":"14","author":"Ghosh-Dastidar S.","journal-title":"Integrated. Comput.-Aided Eng."},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1093\/bib\/bbp066"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1162\/089976602760407955"},{"key":"rf34","first-page":"857","volume":"60","author":"Thorpe S. J.","journal-title":"Neurocomputing"},{"key":"rf35","first-page":"419","author":"Bohte S. M.","journal-title":"ESANN"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1038\/323533a0"},{"key":"rf39","doi-asserted-by":"publisher","DOI":"10.1038\/nn1643"},{"key":"rf40","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2009.11-08-901"},{"key":"rf43","doi-asserted-by":"publisher","DOI":"10.1162\/0899766054796888"},{"key":"rf44","doi-asserted-by":"publisher","DOI":"10.1038\/387278a0"},{"key":"rf45","doi-asserted-by":"publisher","DOI":"10.1109\/5.58323"},{"key":"rf47","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2007.19.6.1468"},{"key":"rf48","doi-asserted-by":"publisher","DOI":"10.1088\/0954-898X_8_2_003"},{"key":"rf49","doi-asserted-by":"publisher","DOI":"10.1162\/089976601300014321"},{"key":"rf52","volume":"5","author":"Nordlie E.","journal-title":"PLoS Comput. Biol."},{"key":"rf53","doi-asserted-by":"publisher","DOI":"10.4249\/scholarpedia.1430"},{"key":"rf54","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2006.11.017"},{"key":"rf55","first-page":"117","volume":"18","author":"Ponulak F.","journal-title":"Appl. Math. Comput. Sci."},{"key":"rf57","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2009.08.010"},{"key":"rf60","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2007.08.025"},{"key":"rf62","first-page":"118","volume":"5","author":"Indiviery G.","journal-title":"Frontiers in Neuroscience"}],"container-title":["International Journal of Neural Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129065712500128","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T16:00:45Z","timestamp":1565107245000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129065712500128"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7,25]]},"references-count":50,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2012,7,25]]},"published-print":{"date-parts":[[2012,8]]}},"alternative-id":["10.1142\/S0129065712500128"],"URL":"https:\/\/doi.org\/10.1142\/s0129065712500128","relation":{},"ISSN":["0129-0657","1793-6462"],"issn-type":[{"value":"0129-0657","type":"print"},{"value":"1793-6462","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7,25]]}}}