CQoCO: A measure for comparative quality of coverage and organization for self-organizing maps

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Title: CQoCO: A measure for comparative quality of coverage and organization for self-organizing maps
Authors: Beaton, Derek1, Valova, Iren ivalova@umassd.edu, MacLean, Daniel1
Source: Neurocomputing. Jun2010, Vol. 73 Issue 10-12, p2147-2159. 13p.
Subjects: Self-organizing maps, Comparative studies, Geometric quantization, Error analysis in mathematics, Artificial neural networks, Cluster analysis (Statistics)
Abstract: Abstract: In this paper we introduce a comprehensive measure of quality of coverage and organization in self-organizing maps. The new measure, named CQoCO, combines self-organizing criteria as outlined by Polani, by measuring how, and where neurons are mapped in space and how they are organized. The result is an all-inclusive tool to account for the required properties of a well-organized SOM—untangled coverage of inputs only, reflecting the density of the input space and outlining the natural clusters in the data. The proposed measure has been tested on the traditional version of SOM as well as on a growing version, as proposed by the authors—ParaSOM. While the patterns are simple, the tests also cover a comparison between CQoCO and the measures of quantization error and topological error. The conclusion becomes evident with the progress of the experiments—CQoCO provides an across-the-board measurement of the quality of coverage and organization in SOMs. [Copyright &y& Elsevier]
Copyright of Neurocomputing is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: CQoCO: A measure for comparative quality of coverage and organization for self-organizing maps
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  Data: <searchLink fieldCode="AR" term="%22Beaton%2C+Derek%22">Beaton, Derek</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Valova%2C+Iren%22">Valova, Iren</searchLink><i> ivalova@umassd.edu</i><br /><searchLink fieldCode="AR" term="%22MacLean%2C+Daniel%22">MacLean, Daniel</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Neurocomputing%22">Neurocomputing</searchLink>. Jun2010, Vol. 73 Issue 10-12, p2147-2159. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Self-organizing+maps%22">Self-organizing maps</searchLink><br /><searchLink fieldCode="DE" term="%22Comparative+studies%22">Comparative studies</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+quantization%22">Geometric quantization</searchLink><br /><searchLink fieldCode="DE" term="%22Error+analysis+in+mathematics%22">Error analysis in mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Artificial+neural+networks%22">Artificial neural networks</searchLink><br /><searchLink fieldCode="DE" term="%22Cluster+analysis+%28Statistics%29%22">Cluster analysis (Statistics)</searchLink>
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  Data: Abstract: In this paper we introduce a comprehensive measure of quality of coverage and organization in self-organizing maps. The new measure, named CQoCO, combines self-organizing criteria as outlined by Polani, by measuring how, and where neurons are mapped in space and how they are organized. The result is an all-inclusive tool to account for the required properties of a well-organized SOM—untangled coverage of inputs only, reflecting the density of the input space and outlining the natural clusters in the data. The proposed measure has been tested on the traditional version of SOM as well as on a growing version, as proposed by the authors—ParaSOM. While the patterns are simple, the tests also cover a comparison between CQoCO and the measures of quantization error and topological error. The conclusion becomes evident with the progress of the experiments—CQoCO provides an across-the-board measurement of the quality of coverage and organization in SOMs. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Neurocomputing is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.neucom.2010.02.004
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 2147
    Subjects:
      – SubjectFull: Self-organizing maps
        Type: general
      – SubjectFull: Comparative studies
        Type: general
      – SubjectFull: Geometric quantization
        Type: general
      – SubjectFull: Error analysis in mathematics
        Type: general
      – SubjectFull: Artificial neural networks
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      – SubjectFull: Cluster analysis (Statistics)
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      – TitleFull: CQoCO: A measure for comparative quality of coverage and organization for self-organizing maps
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              Text: Jun2010
              Type: published
              Y: 2010
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