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 |
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| 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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 50391967 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: CQoCO: A measure for comparative quality of coverage and organization for self-organizing maps – Name: Author Label: Authors Group: Au 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> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Neurocomputing%22">Neurocomputing</searchLink>. Jun2010, Vol. 73 Issue 10-12, p2147-2159. 13p. – Name: Subject Label: Subjects Group: Su 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> – Name: Abstract Label: Abstract Group: Ab 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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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.neucom.2010.02.004 Languages: – Code: eng Text: English PhysicalDescription: Pagination: 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 Type: general – SubjectFull: Cluster analysis (Statistics) Type: general Titles: – TitleFull: CQoCO: A measure for comparative quality of coverage and organization for self-organizing maps Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Beaton, Derek – PersonEntity: Name: NameFull: Valova, Iren – PersonEntity: Name: NameFull: MacLean, Daniel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2010 Type: published Y: 2010 Identifiers: – Type: issn-print Value: 09252312 Numbering: – Type: volume Value: 73 – Type: issue Value: 10-12 Titles: – TitleFull: Neurocomputing Type: main |
| ResultId | 1 |