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We apply versions of learning vector quantization (LVQ) which are suitable for complex-valued data, based on the so-called Wirtinger calculus. It allows for the formulation of gradient-based update rules in the framework of cost-function-based generalized matrix relevance LVQ (GMLVQ). Alternatively, we consider the concatenation of real and imaginary parts of Fourier coefficients in a real-valued feature vector and the classification of time-domain representations by means of conventional GMLVQ. In addition, we consider the application of the method in combination with wavelet-space features to heartbeat classification.<\/jats:p>","DOI":"10.1007\/s00521-019-04080-5","type":"journal-article","created":{"date-parts":[[2019,3,9]],"date-time":"2019-03-09T04:52:54Z","timestamp":1552107174000},"page":"18085-18099","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Learning vector quantization and relevances in complex coefficient space"],"prefix":"10.1007","volume":"32","author":[{"given":"M.","family":"Straat","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Kaden","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Gay","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.","family":"Villmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Lampe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"U.","family":"Seiffert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Biehl","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9145-2277","authenticated-orcid":false,"given":"F.","family":"Melchert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,3,9]]},"reference":[{"key":"4080_CR1","volume-title":"Functional data analysis","author":"J Ramsay","year":"2006","unstructured":"Ramsay J, Silverman B (2006) Functional data analysis. 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Melchert has received an Ubbo-Emmius Sandwich Scholarship by the Faculty of Science and Engineering of the University of Groningen, Netherlands.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}