Decision region approximation by polynomials or neural networks
| dc.contributor.author | Blackmore, Kim | |
| dc.contributor.author | Williamson, Robert C. | |
| dc.contributor.author | Mareels, Iven M. Y. | |
| dc.date.accessioned | 2011-12-14T03:45:11Z | |
| dc.date.available | 2011-12-14T03:45:11Z | |
| dc.date.issued | 1997-05 | |
| dc.date.updated | 2021-08-01T08:31:58Z | |
| dc.description.abstract | We give degree of approximation results for decision regions which are defined by polynomial and neural network parametrizations. The volume of the misclassified region is used to measure the approximation error, and results for the degree of L1 approximation of functions are used. For polynomial parametrizations, we show that the degree of approximation is at least 1, whereas for neural network parametrizations we prove the slightly weaker result that the degree of approximation is at least r, where r can be any number in the open interval (0, 1). | |
| dc.description.sponsorship | Copyright Information: http://www.sherpa.ac.uk/romeo/index34.php?la=en"Author can archive pre-print (ie pre-refereeing), post-print (ie final draft post-refereeing) [and]publisher's version/PDF" - from SHERPA/RoMEO site (as at 23/02/10) | |
| dc.format | 5 pages | |
| dc.identifier.issn | 0018-9448 | |
| dc.identifier.uri | http://hdl.handle.net/1885/8819 | |
| dc.publisher | IEEE | |
| dc.rights | http://www.sherpa.ac.uk/romeo/index34.php?la=en "Author can archive pre-print (ie pre-refereeing), … post-print (ie final draft post-refereeing) [and] … publisher's version/PDF" - from SHERPA/RoMEO site (as at 23/02/10) | |
| dc.source | IEEE Transactions on Information Theory 43.3 (1997): 903-907 | |
| dc.subject | classification, decision region, neural networks, polynomials, rate of approximation | |
| dc.title | Decision region approximation by polynomials or neural networks | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 3 | |
| local.bibliographicCitation.lastpage | 907 | |
| local.bibliographicCitation.startpage | 903 | |
| local.contributor.affiliation | Blackmore, Kim, ANU, College of Engineering and Computer Science | |
| local.contributor.affiliation | Williamson, Robert C., IEEE | |
| local.contributor.affiliation | Mareels, Iven M. Y., IEEE | |
| local.contributor.authoruid | u4036671 | en_AU |
| local.identifier.absfor | 461199 - Machine learning not elsewhere classified | |
| local.identifier.ariespublication | u4153526xPUB21 | |
| local.identifier.citationvolume | 43 | |
| local.identifier.doi | 10.1109/18.568700 | |
| local.identifier.scopusID | 2-s2.0-0031139265 | |
| local.identifier.thomsonID | A1997WV23300010 | |
| local.publisher.url | http://www.ieee.org/index.html | en_AU |
| local.type.status | Published Version | en_AU |