| On multidimensional scaling and the embedding of self-organising maps. | |
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MedLine Citation:
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PMID: 18255262 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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The self-organising map (SOM) and its variant, visualisation induced SOM (ViSOM), have been known to yield similar results to multidimensional scaling (MDS). However, the exact connection has not been established. In this paper, a review on the SOM and its cost function and topological measures is provided first. We then examine the exact scaling effect of the SOM and ViSOM from their objective functions. The SOM is shown to produce a qualitative, nonmetric scaling, while the local distance-preserving ViSOM produces a quantitative or metric scaling. Their relationship with the principal manifold is also discussed. The SOM-based methods not only produce topological or metric scaling but also provide a principal manifold. Furthermore a growing ViSOM is proposed to aid the adaptive embedding of highly nonlinear manifolds. Examples and comparisons with other embedding methods such as Isomap and local linear embedding are also presented. |
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Authors:
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Hujun Yin |
Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't Date: 2007-12-27 |
Journal Detail:
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Title: Neural networks : the official journal of the International Neural Network Society Volume: 21 ISSN: 0893-6080 ISO Abbreviation: Neural Netw Publication Date: 2008 Mar-Apr |
Date Detail:
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Created Date: 2008-03-17 Completed Date: 2008-07-10 Revised Date: 2008-08-15 |
Medline Journal Info:
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Nlm Unique ID: 8805018 Medline TA: Neural Netw Country: United States |
Other Details:
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Languages: eng Pagination: 160-9 Citation Subset: IM |
Affiliation:
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School of Electrical and Electronic Engineering, University of Manchester, Sackville Street, Manchester, M60 1QD, UK. h.yin@manchester.ac.uk |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Algorithms* Brain Mapping* Humans Multivariate Analysis* Neural Networks (Computer)* Nonlinear Dynamics Signal Processing, Computer-Assisted |
| Comments/Corrections | |
Erratum In:
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Neural Netw. 2008 May;21(4):698 |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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