Self-organization of the batch Kohonen network under quantization effects

dc.contributor.author	Βασιλάς, Νικόλαος	el
dc.date.accessioned	2015-05-12T19:22:23Z
dc.date.available	2015-05-12T19:22:23Z
dc.date.issued	2015-05-12
dc.identifier.uri	http://hdl.handle.net/11400/10254
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.tandfonline.com/doi/abs/10.1080/00207160.2011.620094	en
dc.subject	αυτο-οργανούμενοι χάρτες
dc.subject	παρτίδα αλγόριθμου
dc.subject	επιδράσεις της κβάντωσης
dc.subject	Αλυσίδες Μάρκοβ
dc.subject	διακριτά βάρη
dc.subject	Self-organizing maps
dc.subject	batch SOM algorithm
dc.subject	Markov chains
dc.subject	quantization effects
dc.subject	discrete SOM weights
dc.title	Self-organization of the batch Kohonen network under quantization effects	en
heal.type	journalArticle
heal.classification	Πληροφορική
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classification	Computer science
heal.classification	Applied mathematics
heal.classificationURI	N/A-Πληροφορική
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C00750
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh99004370
heal.identifier.secondary	DOI: 10.1080/00207160.2011.620094
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Μηχανικών Πληροφορικής Τ.Ε.	el
heal.publicationDate	2011
heal.bibliographicCitation	Vassilas, N. (2011) Self-organization of the batch Kohonen network under quantization effects. International Journal of Computer Mathematics. [Online] 88 (17), pp.3586-3612. Available from: http://www.tandfonline.com [Accessed 12/05/2015]	en
heal.abstract	In this work, we investigate the effect of quantized weights and inputs on the self-organizing properties of the batch variant of Kohonen's self-organizing map algorithm. In particular, we examine necessary and sufficient conditions that ensure self-organization of the batch SOM algorithm for one-dimensional (1D) networks mapping a quantized 1D input space. Using Markov chain formalism, it is shown that the existing analysis for the original algorithm can be extended to also include the more general batch variant. Finally, simulations verify the theoretical results, relate the speed of weight ordering to the distribution of the inputs, extend the results to the 2D case, and show the existence of metastable states of the Markov chain.	en
heal.publisher	Taylor & Francis	en
heal.journalName	International Journal of Computer Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true