Semantic mapping (statistics): Difference between revisions

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Semantic mapping (SM) is a statistical method for dimensionality reduction (the transformation of data from a high-dimensional space into a low-dimensional space). SM can be used in a set of multidimensional vectors of features to extract a few new features that preserves the main data characteristics.

SM performs dimensionality reduction by clustering the original features in semantic clusters and combining features mapped in the same cluster to generate an extracted feature. Given a data set, this method constructs a projection matrix that can be used to map a data element from a high-dimensional space into a reduced dimensional space.

SM can be applied in construction of text mining and information retrieval systems, as well as systems managing vectors of high dimensionality. SM is an alternative to random mapping, principal components analysis and latent semantic indexing methods.

References

CORRÊA, R. F.; LUDERMIR, T. B. Improving Self Organization of Document Collections by Semantic Mapping. Neurocomputing(Amsterdam), v. 70, p. 62-69, 2006. doi:10.1016/j.neucom.2006.07.007
CORRÊA, R. F. and LUDERMIR, T. B. (2007) "Dimensionality Reduction of very large document collections by Semantic Mapping". Proceedings of 6th Int. Workshop on Self-Organizing Maps (WSOM). ISBN 978-3-00-022473-7.

External links

Full list of publications about Semantic Mapping method

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+{{short description|Method in statistics}}
-{{context|date=November 2010}}
-The '''semantic mapping (SM)''' is a [[dimensionality reduction]] method that extracts new features by [[Cluster analysis|clustering]] the original features in semantic clusters and combining features mapped in the same cluster to generate an extracted feature. Given a [[data set]], this method construct a projection matrix that can be used to mapping of [[data element]]s from one high dimensional space into reduced dimensional space. The '''SM'''  can be applied in construction of [[text mining]] and [[information retrieval]] systems, as well as systems managing [[Euclidean vector|vector]]s of high dimensionality.
+'''Semantic mapping''' ('''SM''') is a [[statistic|statistical]] method for [[dimensionality reduction]] (the transformation of data from a high-dimensional space into a low-dimensional space). SM can be used in a set of multidimensional vectors of features to extract a few new features that preserves the main data characteristics.
-The '''SM''' is an alternative to [[principal components analysis]] and [[latent semantic indexing]] methods.
+SM performs dimensionality reduction by [[Cluster analysis|clustering]] the original features in semantic clusters and combining features mapped in the same cluster to generate an extracted feature. Given a [[data set]], this method constructs a [[projection matrix]] that can be used to map a [[data element]] from a [[high-dimensional space]] into a reduced dimensional space.
+SM can be applied in construction of [[text mining]] and [[information retrieval]] systems, as well as systems managing [[Euclidean vector|vector]]s of high dimensionality. '''SM''' is an alternative to [[random mapping]], [[principal components analysis]] and [[latent semantic indexing]] methods.
 ==See also==
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 * [[Principal components analysis]]
 * [[Latent semantic indexing]]
+* [[Unification (computer science)|Unification]] (logic reduction)
 ==References==
+* CORRÊA, R. F.; LUDERMIR, T. B. Improving Self Organization of Document Collections by Semantic Mapping. Neurocomputing(Amsterdam), v. 70, p.&nbsp;62-69, 2006. [https://dx.doi.org/10.1016/j.neucom.2006.07.007 doi:10.1016/j.neucom.2006.07.007]
-* CORRÊA, R. F. and LUDERMIR, T. B. (2007) [http://biecoll.ub.uni-bielefeld.de/volltexte/2007/133 "Dimensionality Reduction of very large document collections by Semantic Mapping"]. Proceedings of 6th Int. Workshop on Self-Organizing Maps (WSOM). ISBN 978-3-00-022473-7.
+* CORRÊA, R. F. and LUDERMIR, T. B. (2007) [http://biecoll.ub.uni-bielefeld.de/volltexte/2007/133 "Dimensionality Reduction of very large document collections by Semantic Mapping"]. Proceedings of 6th Int. Workshop on Self-Organizing Maps (WSOM). {{ISBN|978-3-00-022473-7}}.
 ==External links==