Heuristic approach for minimizing the projection error in the integrated mapping

European Journal of Operational Research

Volumn 171, Issue 3, 2006, Pages 859-878

  Dzemyda, Gintautas ^a   Kurasova, Olga ^a  

^a VILNIUS UNIVERSITY   (Lithuania)

Author keywords

Data visualization; Heuristics; Neural networks; Optimization; Parallel computing

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; INTEGRATION; MAPPING; NEURAL NETWORKS; OPTIMIZATION; PARALLEL PROCESSING SYSTEMS; VISUALIZATION;

DATA VISUALIZATION; HEURISTICS;

HEURISTIC METHODS;

EID: 31344439545     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2004.09.011     Document Type: Article

References (22)

1. I. Borg, and P. Groenen Modern Multidimensional Scaling: Theory and Applications 1997 Springer New York
2. P. Brucker Scheduling and constraint propagation Discrete Applied Mathematics 123 2002 227 256
3. M. Drobics, U. Bodenhofer, W. Winiwarter, Mining Clusters and Corresponding Interpretable Descriptions-a Three Stage Approach, Expert Systems, 19 (4) (2002) 224-234. Available from: < http://www.ifs.univie.ac.at/~ww/es. pdf>.
4. G. Dzemyda Mean squared load criteria for scheduling independent tasks International Journal of Applied Mathematics and Computer Science 9 4 1999 939 954
5. G. Dzemyda Visualization of a set of parameters characterized by their correlation matrix Computational Statistics and Data Analysis 36 10 2001 15 30
6. G. Dzemyda, and V. Tiešis Visualization of multidimensional objects and the socio-economical impact to activity in EC RTD databases Informatica 12 2 2001 239 262
7. G. Dzemyda, and O. Kurasova Comparative analysis of the graphical result presentation in the SOM software Informatica 13 3 2002 275 286
8. G. Dzemyda, and O. Kurasova Visualization of multidimensional data taking into account the learning flow of the self-organizing neural network Journal of WSCG 11 1 2003 117 124
9. G. Dzemyda, O. Kurasova, and V. Marcinkevičius Parallelization in combining the self-organizing map and Sammon's mapping Lithuanian Mathematical Journal 43 2003 (in Lithuanian)
10. R.A. Fisher The Use of Multiple Measurements in Taxonomic Problems Annals of Eugenics 7 1936 179 188
11. M.H. Hassoun Fundamentals of Artificial Neural Networks, A Bradford book 1995 MIT Press London
12. P. Hellemaa, The Development of Coastal Dunes and their Vegetation in Finland, Dissertation, fenia 176:1, Helsinki, 1998. Available from: < http://ethesis.helsinki.fi/julkaisut/mat/maant/vk/hellemaa/index.html>.
13. A. Karbowski, Direct method of hierarchical nonlinear optimization-Reassessment after 30 years, Proceedings of III International Conference on Decision Support for Telecommunications and Information Society (DSTIS 2003), 4-6 September 2003, Warsaw.
14. S. Kaski Data exploration using self-organizing maps Acta Polytechnica Scandinavica, Mathematics, Computing and Management in Engineering of Technology 1997
15. T. Kohonen, Self-Organizing Maps, third ed., Springer Series in Information Sciences, vol. 30, Springer-Verlag, 2001.
16. W. Li, P. Pardalos, and C.-G. Han Gauss-Seidel method for least distance problems Journal of Optimization Theory and Applications 75 1992 487 500
17. J. Mao, and J. Jain Artificial neural networks for feature extraction and multivariate data projection IEEE Transactions on Neural Networks 6 2 1995 296 317
18. The Message Passing Interface (MPI) standard. Available from: < http://www-unix.mcs.anl.gov/mpi/>.
19. F. Murtagh, Multivariate Data Analysis Software and Resources. Available from: < http://astro.u-strasbg.fr/~fmurtagh/mda-sw/>.
20. A. Rauber, P. Tomsich, D. Merkl, parSOM: A Parallel Implementation of the Self-Organizing Map Exploiting Cache Effects: Making the SOM Fit for Interactive High-Performance Data Analysis, Proceedings of the International Joint Conference on Neural Networks 2000 (IJCNN'2000), 24-27, 7, (2000). Available from: < http://www.ifs.tuwien.ac.at/~andi/somlib/publications/ pub_pdf/rau_ijcnn00.pdf>.
21. J.W. Sammon A nonlinear mapping for data structure analysis IEEE Transactions on Computers 18 1969 401 409
22. P. Taylor Statistical Methods M. Berthold D.J. Hand Intelligent Data Analysis: An Introduction 2003 Springer-Verlag 69 129