A Heuristic Relaxation Method for Nonlinear Mapping in Cluster Analysis
- 1 March 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Systems, Man, and Cybernetics
- Vol. SMC-3 (2) , 197-200
- https://doi.org/10.1109/tsmc.1973.5408505
Abstract
A relaxation method mapping high-dimensional sample points to low-dimensional sample points is discussed. This method tries to preserve the local interdistance of sample points. Some special heuristics have been introduced to handle the difficulty arising from a large amount of data. Experimental results with handwritten character data and Iris data show that the method runs fast, converges rapidly, and requires a small amount of memory space.Keywords
This publication has 9 references indexed in Scilit:
- A Nonlinear Feature Extraction Algorithm Using Distance TransformationIEEE Transactions on Computers, 1972
- Application of information theory to select relevant variablesMathematical Biosciences, 1971
- Application of game tree searching techniques to sequential pattern recognitionCommunications of the ACM, 1971
- Piecewise linear discriminant functions and classification errors for multiclass problems (Corresp.)IEEE Transactions on Information Theory, 1970
- A Nonlinear Mapping for Data Structure AnalysisIEEE Transactions on Computers, 1969
- Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesisPsychometrika, 1964
- The Analysis of Proximities: Multidimensional Scaling with an Unknown Distance Function. I.Psychometrika, 1962
- The Relaxation Method for Linear InequalitiesCanadian Journal of Mathematics, 1954
- THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMSAnnals of Eugenics, 1936