{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T01:10:09Z","timestamp":1744161009653,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":10,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642332654"},{"type":"electronic","value":"9783642332661"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-33266-1_1","type":"book-chapter","created":{"date-parts":[[2012,9,18]],"date-time":"2012-09-18T23:42:31Z","timestamp":1348011751000},"page":"1-8","source":"Crossref","is-referenced-by-count":0,"title":["Complex-Valued Multilayer Perceptron Search Utilizing Eigen Vector Descent and Reducibility Mapping"],"prefix":"10.1007","author":[{"given":"Shinya","family":"Suzumura","sequence":"first","affiliation":[]},{"given":"Ryohei","family":"Nakano","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"1_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"550","DOI":"10.1007\/978-3-642-24955-6_66","volume-title":"Neural Information Processing","author":"M.. F. Amin","year":"2011","unstructured":"Amin, M. F., Amin, M.I., Al-Nuaimi, A.Y.H., Murase, K.: Wirtinger Calculus Based Gradient Descent and Levenberg-Marquardt Learning Algorithms in Complex-Valued Neural Networks. In: Lu, B.-L., Zhang, L., Kwok, J. (eds.) ICONIP 2011, Part I. LNCS, vol.\u00a07062, pp. 550\u2013559. Springer, Heidelberg (2011)"},{"unstructured":"Delgado, K.K.: The complex gradient operator and the CR-calculus. ECE275A-Lecture Supplement, Fall (2006)","key":"1_CR2"},{"issue":"3","key":"1_CR3","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1016\/S0893-6080(00)00009-5","volume":"13","author":"K. Fukumizu","year":"2000","unstructured":"Fukumizu, K., Amari, S.: Local minima and plateaus in hierarchical structure of multilayer perceptrons. Neural Networks\u00a013(3), 317\u2013327 (2000)","journal-title":"Neural Networks"},{"issue":"7","key":"1_CR4","doi-asserted-by":"publisher","first-page":"1641","DOI":"10.1162\/089976603321891846","volume":"15","author":"T. Kim","year":"2003","unstructured":"Kim, T., Adali, T.: Approximation by fully complex multilayer perceptrons. Neural Computation\u00a015(7), 1641\u20131666 (2003)","journal-title":"Neural Computation"},{"key":"1_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"985","DOI":"10.1007\/3-540-44989-2_117","volume-title":"Artificial Neural Networks and Neural Information Processing - ICANN\/ICONIP 2003","author":"Y. Kuroe","year":"2003","unstructured":"Kuroe, Y., Yoshida, M., Mori, T.: On Activation Functions for Complex-Valued Neural Networks\u2013Existence of Energy Functions. In: Kaynak, O., Alpayd\u0131n, E., Oja, E., Xu, L. (eds.) ICANN 2003 and ICONIP 2003. LNCS, vol.\u00a02714, pp. 985\u2013992. Springer, Heidelberg (2003)"},{"unstructured":"Luenberger, D.G.: Linear and nonlinear programming. Addison-Wesley (1984)","key":"1_CR6"},{"issue":"9","key":"1_CR7","doi-asserted-by":"publisher","first-page":"2101","DOI":"10.1109\/78.134446","volume":"39","author":"H. Leung","year":"1991","unstructured":"Leung, H., Haykin, S.: The complex backpropagation algorithm. IEEE Trans. Signal Processing\u00a039(9), 2101\u20132104 (1991)","journal-title":"IEEE Trans. Signal Processing"},{"doi-asserted-by":"crossref","unstructured":"Nakano, R., Satoh, S., Ohwaki, T.: Learning method utilizing singular region of multilayer perceptron. In: Proc. 3rd Int. Conf. on Neural Computation Theory and Applications, pp. 106\u2013111 (2011)","key":"1_CR8","DOI":"10.5220\/0003652501060111"},{"issue":"3","key":"1_CR9","first-page":"53","volume":"2","author":"T. Nitta","year":"2004","unstructured":"Nitta, T.: Reducibility of the complex-valued neural network. Neural Information Processing - Letters and Reviews\u00a02(3), 53\u201356 (2004)","journal-title":"Neural Information Processing - Letters and Reviews"},{"issue":"4","key":"1_CR10","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1016\/S0893-6080(05)80037-1","volume":"5","author":"H.J. Sussmann","year":"1992","unstructured":"Sussmann, H.J.: Uniqueness of the weights for minimal feedforward nets with a given input-output map. Neural Networks\u00a05(4), 589\u2013593 (1992)","journal-title":"Neural Networks"}],"container-title":["Lecture Notes in Computer Science","Artificial Neural Networks and Machine Learning \u2013 ICANN 2012"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-33266-1_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T00:51:24Z","timestamp":1744159884000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-33266-1_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642332654","9783642332661"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-33266-1_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}