Feature modeling using polynomial classifiers and stepwise regression

In polynomial networks, feature vectors are mapped to a higher dimensional space through a polynomial function. The expanded vectors are then passed to a single layer network to compute the model parameters. However, as the dimensionality of the feature vectors grows with polynomial expansion, polyn...

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Main Author: Shanableh, Tamer (author)
Other Authors: Assaleh, Khaled (author)
Format: article
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/11073/8831
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author Shanableh, Tamer
author2 Assaleh, Khaled
author2_role author
author_facet Shanableh, Tamer
Assaleh, Khaled
author_role author
dc.creator.none.fl_str_mv Shanableh, Tamer
Assaleh, Khaled
dc.date.none.fl_str_mv 2010
2017-05-04T09:54:35Z
2017-05-04T09:54:35Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv Shanableh, T. & Assaleh, K. (2010). Feature modeling using polynomial classifiers and stepwise regression. Neurocomputing, 73(10), 1752-1759. doi:10.1016/j.neucom.2009.11.045
0925-2312
http://hdl.handle.net/11073/8831
10.1016/j.neucom.2009.11.045
dc.language.none.fl_str_mv en_US
dc.publisher.none.fl_str_mv Elsevier
dc.relation.none.fl_str_mv http://doi.org/10.1016/j.neucom.2009.11.045
dc.subject.none.fl_str_mv Polynomial classifier
Pattern classification
Vision-based intelligent systems
Image/video processing
dc.title.none.fl_str_mv Feature modeling using polynomial classifiers and stepwise regression
dc.type.none.fl_str_mv Postprint
Peer-Reviewed
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description In polynomial networks, feature vectors are mapped to a higher dimensional space through a polynomial function. The expanded vectors are then passed to a single layer network to compute the model parameters. However, as the dimensionality of the feature vectors grows with polynomial expansion, polynomial training and classification become impractical due to the prohibitive number of expanded variables. This problem is more prominent in vision-based systems where high dimensionality feature vectors are extracted from digital images and/or video. In this paper we propose to reduce the dimensionality of the expanded vector through the use of stepwise regression. We compare our work to the reduced-model multinomial networks where the dimensionality of the expanded feature vectors grows linearly whilst preserving the classification ability. We also compare the proposed work to standard polynomial classifiers and to established techniques of polynomial classifiers with dimensionality reduction. Two application scenarios are used to test the proposed solution, namely; image-based hand recognition and video-based recognition of isolated sign language gestures. Various datasets from the UCI machine learning repository are also used for testing. Experimental results illustrate the effectiveness of the proposed dimensionality reduction technique in comparison to published methods.
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identifier_str_mv Shanableh, T. & Assaleh, K. (2010). Feature modeling using polynomial classifiers and stepwise regression. Neurocomputing, 73(10), 1752-1759. doi:10.1016/j.neucom.2009.11.045
0925-2312
10.1016/j.neucom.2009.11.045
language_invalid_str_mv en_US
network_acronym_str aus
network_name_str aus
oai_identifier_str oai:repository.aus.edu:11073/8831
publishDate 2010
publisher.none.fl_str_mv Elsevier
repository.mail.fl_str_mv
repository.name.fl_str_mv
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spelling Feature modeling using polynomial classifiers and stepwise regressionShanableh, TamerAssaleh, KhaledPolynomial classifierPattern classificationVision-based intelligent systemsImage/video processingIn polynomial networks, feature vectors are mapped to a higher dimensional space through a polynomial function. The expanded vectors are then passed to a single layer network to compute the model parameters. However, as the dimensionality of the feature vectors grows with polynomial expansion, polynomial training and classification become impractical due to the prohibitive number of expanded variables. This problem is more prominent in vision-based systems where high dimensionality feature vectors are extracted from digital images and/or video. In this paper we propose to reduce the dimensionality of the expanded vector through the use of stepwise regression. We compare our work to the reduced-model multinomial networks where the dimensionality of the expanded feature vectors grows linearly whilst preserving the classification ability. We also compare the proposed work to standard polynomial classifiers and to established techniques of polynomial classifiers with dimensionality reduction. Two application scenarios are used to test the proposed solution, namely; image-based hand recognition and video-based recognition of isolated sign language gestures. Various datasets from the UCI machine learning repository are also used for testing. Experimental results illustrate the effectiveness of the proposed dimensionality reduction technique in comparison to published methods.Elsevier2017-05-04T09:54:35Z2017-05-04T09:54:35Z2010PostprintPeer-Reviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfShanableh, T. & Assaleh, K. (2010). Feature modeling using polynomial classifiers and stepwise regression. Neurocomputing, 73(10), 1752-1759. doi:10.1016/j.neucom.2009.11.0450925-2312http://hdl.handle.net/11073/883110.1016/j.neucom.2009.11.045en_UShttp://doi.org/10.1016/j.neucom.2009.11.045oai:repository.aus.edu:11073/88312024-08-22T12:08:26Z
spellingShingle Feature modeling using polynomial classifiers and stepwise regression
Shanableh, Tamer
Polynomial classifier
Pattern classification
Vision-based intelligent systems
Image/video processing
status_str publishedVersion
title Feature modeling using polynomial classifiers and stepwise regression
title_full Feature modeling using polynomial classifiers and stepwise regression
title_fullStr Feature modeling using polynomial classifiers and stepwise regression
title_full_unstemmed Feature modeling using polynomial classifiers and stepwise regression
title_short Feature modeling using polynomial classifiers and stepwise regression
title_sort Feature modeling using polynomial classifiers and stepwise regression
topic Polynomial classifier
Pattern classification
Vision-based intelligent systems
Image/video processing
url http://hdl.handle.net/11073/8831