{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T16:11:51Z","timestamp":1783181511794,"version":"3.54.6"},"reference-count":28,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,6]]},"DOI":"10.1109\/ijcnn.2009.5178996","type":"proceedings-article","created":{"date-parts":[[2009,8,5]],"date-time":"2009-08-05T14:59:01Z","timestamp":1249484341000},"page":"1365-1371","source":"Crossref","is-referenced-by-count":14,"title":["An iterative learning scheme for multistate complex-valued and quaternionic Hopfield neural networks"],"prefix":"10.1109","author":[{"given":"Teijiro","family":"Isokawa","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haruhiko","family":"Nishimura","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nobuyuki","family":"Matsui","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"19","doi-asserted-by":"publisher","DOI":"10.1049\/el:19920948"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/CNNA.1992.274330"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3115-6"},{"key":"15","first-page":"1287","article-title":"about one generalization of the threshold function","volume":"196","author":"aizenberg","year":"1971","journal-title":"Doklady Akademii Nauk SSSR (The Reports of the Academy of Sciences of the USSR)"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/6\/5\/016"},{"key":"13","first-page":"848","article-title":"dynamics of discrete-time quaternionic hopfield neural networks","year":"2007","journal-title":"Proceedings of 17th International Conference on Artificial Neural Networks"},{"key":"14","first-page":"809","article-title":"on the scheme of quaternionic multistate hopfield neural network","author":"isokawa","year":"2008","journal-title":"Proceedings of Joint 4th International Conference on Soft Computing and Intelligent Systems and 9th International Symposium on advanced Intelligent Systems (SCIS and ISIS 2008)"},{"key":"11","first-page":"610","article-title":"fundamental properties of quaternionic hopfield neural network","author":"isokawa","year":"2006","journal-title":"Proceedings of 2006 International Joint Conference on Neural Networks"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065708001440"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2003.813844"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/72.548176"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.79.8.2554"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.58.949"},{"key":"24","author":"kohonen","year":"1984","journal-title":"Self-Organization and Associative Memory"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.34.4217"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2006.878786"},{"key":"27","article-title":"hypercomplex spectral signal representations for the processing and analysis of images","author":"bu?low","year":"1999"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1109\/78.960432"},{"key":"3","first-page":"97","article-title":"quaternions: from classical mechanics to computer graphics, and beyond","author":"mukundan","year":"2002","journal-title":"Proceedings of the 7th Asian Technology Conference in Mathematics"},{"key":"2","author":"hankins","year":"1980","journal-title":"Sir William Rowan Hamilton"},{"key":"10","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1142\/S012906570500013X","article-title":"models of hopfield-type quaternion neural networks and their energy functions","volume":"15","author":"yoshida","year":"2005","journal-title":"International Journal of Neural Systems"},{"key":"1","author":"hamilton","year":"1853","journal-title":"Lectures on Quaternions"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(96)00048-2"},{"key":"6","first-page":"247","article-title":"an extension of the back-propagation algorithm to quaternions","volume":"1","author":"nitta","year":"1996","journal-title":"Proceedings of International Conference on Neural Information Processing (ICONIP'96)"},{"key":"5","first-page":"413","article-title":"back propagation in a clifford algebra","volume":"2","author":"pearson","year":"1992","journal-title":"Proceedings of International Conference on Artificial Neural Networks"},{"key":"4","first-page":"33","article-title":"a solution to the 4-bit parity problem with a single quaternary neuron","volume":"5","author":"nitta","year":"2004","journal-title":"Neural Information Processing mdash Letters and Reviews"},{"key":"9","first-page":"149","article-title":"quaternion neural network with geometrical operators","volume":"15","author":"matsui","year":"2004","journal-title":"Journal of Intelligent and Fuzzy Systems"},{"key":"8","first-page":"377","article-title":"quaternionic spinor mlp","author":"buchholz","year":"2000","journal-title":"8th European Symposium on Artificial Neural Networks (ESANN 2000)"}],"event":{"name":"2009 International Joint Conference on Neural Networks (IJCNN 2009 - Atlanta)","location":"Atlanta, Ga, USA","start":{"date-parts":[[2009,6,14]]},"end":{"date-parts":[[2009,6,19]]}},"container-title":["2009 International Joint Conference on Neural Networks"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/5161636\/5178557\/05178996.pdf?arnumber=5178996","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,18]],"date-time":"2017-06-18T18:35:09Z","timestamp":1497810909000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5178996\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,6]]},"references-count":28,"URL":"https:\/\/doi.org\/10.1109\/ijcnn.2009.5178996","relation":{},"subject":[],"published":{"date-parts":[[2009,6]]}}}