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A Piecewise Linear Classifier

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A Piecewise Linear Classifier

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dc.contributor.author Abdurrab, Abdul Aziz en_US
dc.date.accessioned 2007-08-23T01:56:04Z
dc.date.available 2007-08-23T01:56:04Z
dc.date.issued 2007-08-23T01:56:04Z
dc.date.submitted April 2007 en_US
dc.identifier.other DISS-1651 en_US
dc.identifier.uri http://hdl.handle.net/10106/108
dc.description.abstract A piecewise linear network is discussed which classifies N-dimensional input vectors. The network uses a distance measure to assign incoming input vectors to an appropriate cluster. Each cluster has a linear classifier for generating class discriminants. A training algorithm is described for generating the clusters and discriminants. A pruning algorithm is also described. The algorithm is applied after the network has grown completely, i.e, it has achieved the maximum number of clusters. The pruning algorithm eliminates the least important clusters, one at a time, leading to a more compact network. Theorems are given which relate the network's performance to that of nearest neighbor and k-nearest neighbor classifiers. It is shown that the error approaches Bayes Error as the number of clusters and patterns per cluster approach infinity. The mathematical complexity of the piecewise linear network classifier, in terms of number of multiplies, is compared against those of classical neural net classifiers, like the multi-layer perceptron and the nearest neighbor classifier. The classifier is also compared with these classifiers with respect to their sizes, i.e, number of clusters or hidden units. It is shown that the piecewise linear network classifier generally outperforms on both fronts. en_US
dc.description.sponsorship Manry, Michael en_US
dc.language.iso EN en_US
dc.publisher Electrical Engineering en_US
dc.title A Piecewise Linear Classifier en_US
dc.type M.S. en_US
dc.contributor.committeeChair Manry, Michael en_US
dc.degree.department Electrical Engineering en_US
dc.degree.discipline Electrical Engineering en_US
dc.degree.grantor University of Texas at Arlington en_US
dc.degree.level masters en_US
dc.degree.name M.S. en_US
dc.identifier.externalLink https://www.uta.edu/ra/real/editprofile.php?onlyview=1&pid=281
dc.identifier.externalLinkDescription Link to Research Profiles

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