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Non-linear data mapping and dimensionality reduction system

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dc.creator Pascual-Marqui, Roberto D.
dc.creator Pascual-Montano, Alberto
dc.creator Kochi, Kieko
dc.creator Carazo, José M.
dc.date 2008-01-21T09:21:05Z
dc.date 2008-01-21T09:21:05Z
dc.date 2002-06-20
dc.date.accessioned 2017-01-31T00:59:44Z
dc.date.available 2017-01-31T00:59:44Z
dc.identifier International Publication Number: WO 2002/048962 A1
dc.identifier http://hdl.handle.net/10261/2713
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2713
dc.description Filing Date: 2000-12-12
dc.description The invention relates to a system for organizing n-dimensional data in a representation of a smaller dimension in a non-linear and non-supervised manner. The types of methods presented herein are commonly known as self-organizing maps and resemble, but are not identical to, the well known Kohonen's self-organizing maps. The basic idea of the invention consists of a combination of data clustering and soft projection thereof in a space of a smaller dimension (usually a bidimensional mesh). The disclosed system comprises two modified versions of the functional of the well known "Fuzzy c-means" clustering algorithm, wherein the cluster centers or dictionary vectors are distributed on a regular, low dimensionality mesh. To this end, a penalty term is added to the functional with the aim of ensuring soft distribution of dictionary vector values on said mesh. In one of said cases, fidelity to data is achieved by minimizing the differences between the data and the dictionary vectors while in the other case the new functional is based upon the estimation of input data probability density.
dc.format 99373 bytes
dc.format application/pdf
dc.language spa
dc.rights openAccess
dc.title Non-linear data mapping and dimensionality reduction system
dc.title Sistema para el mapeo no lineal de datos y reducción de dimensionalidad
dc.type Patente


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