Mapping error in the parallel realizations of SAMANN algorithm
In this paper we discuss the visualization of multidimensional vectors. A well-known procedure for mapping data from a high-dimensional space onto a lower-dimensional one is Sammon's mapping. This algorithm preserves as well as possible all inter-pattern distances. We investigate an unsupervi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/32221 |
| _version_ | 1797194381300596736 |
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| author | Viktor Medvedev Gintautas Dzemyda |
| author_facet | Viktor Medvedev Gintautas Dzemyda |
| author_sort | Viktor Medvedev |
| collection | DOAJ |
| description |
In this paper we discuss the visualization of multidimensional vectors. A well-known procedure for mapping data from a high-dimensional space onto a lower-dimensional one is Sammon's mapping. This algorithm preserves as well as possible all inter-pattern distances. We investigate an unsupervised back-propagation algorithm to train a multilayer feed-forward neural network (SAMANN) to perform the Sammoil's nonlinear projection and propose a parallel algorithm for SAMANN network.
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| first_indexed | 2024-03-07T15:40:24Z |
| format | Article |
| id | doaj.art-3ae7099a05e2475babe040450d7f33a8 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T05:55:23Z |
| publishDate | 2004-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-3ae7099a05e2475babe040450d7f33a82024-04-23T09:02:12ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.32221Mapping error in the parallel realizations of SAMANN algorithmViktor Medvedev0Gintautas Dzemyda1Institute of Mathematics and InformaticsInstitute of Mathematics and Informatics In this paper we discuss the visualization of multidimensional vectors. A well-known procedure for mapping data from a high-dimensional space onto a lower-dimensional one is Sammon's mapping. This algorithm preserves as well as possible all inter-pattern distances. We investigate an unsupervised back-propagation algorithm to train a multilayer feed-forward neural network (SAMANN) to perform the Sammoil's nonlinear projection and propose a parallel algorithm for SAMANN network. https://www.journals.vu.lt/LMR/article/view/32221neutral networksSAMANN algorithmSammon's mappingvisualization |
| spellingShingle | Viktor Medvedev Gintautas Dzemyda Mapping error in the parallel realizations of SAMANN algorithm Lietuvos Matematikos Rinkinys neutral networks SAMANN algorithm Sammon's mapping visualization |
| title | Mapping error in the parallel realizations of SAMANN algorithm |
| title_full | Mapping error in the parallel realizations of SAMANN algorithm |
| title_fullStr | Mapping error in the parallel realizations of SAMANN algorithm |
| title_full_unstemmed | Mapping error in the parallel realizations of SAMANN algorithm |
| title_short | Mapping error in the parallel realizations of SAMANN algorithm |
| title_sort | mapping error in the parallel realizations of samann algorithm |
| topic | neutral networks SAMANN algorithm Sammon's mapping visualization |
| url | https://www.journals.vu.lt/LMR/article/view/32221 |
| work_keys_str_mv | AT viktormedvedev mappingerrorintheparallelrealizationsofsamannalgorithm AT gintautasdzemyda mappingerrorintheparallelrealizationsofsamannalgorithm |