TTLSC – Transductive Total Least Square Model for Classification and Its Application in Medicine
This paper introduces a novel classification method-transductive total least square classification method (TTLSC). While inductive approaches are concerned with the development of a model to approximate data in the whole problem space (induction), and consecutively – using this model to calculate the output value(s) for a new input vector (deduction), in transductive systems a local model is developed for every new input vector, based on some closest data to this vector from the training data set. The total least square method (TLS) is one of the optimal fitting methods that can be used for curve and surface fitting and outperform the commonly used least square fitting methods in resisting both normal noise and outlier. The TTLSC is illustrated by a case study: a real medical decision support problem of estimating the survival of haemodialysis patients. This personalized modelling can also be applied to solve other classification or clustering problems.
KeywordsSupport Vector Machine Total Least Square Steep Descent Algorithm Transductive Support Vector Machine Practice Pattern Study
Unable to display preview. Download preview PDF.
- 1.Altman, D.G.: Practical Statistics for Medical Research. Chapman and Hall, London (1991)Google Scholar
- 3.Gammerman, A., Vovk, V., Vapnik, V.: Learning by transduction. In: Cooper, G.F., Moral, S. (eds.) Proc. of the 14th Conference on Uncertainty in Artificial Intelligence, Madison, Wisconsin, pp. 148–155. Morgan Kaufmann, San Francisco (1998)Google Scholar
- 4.Golub, C.L., Van Loan, C.: Matrix computations. Jons Hopkins University Press, Baltimore, MDGoogle Scholar
- 6.Hsia, T. C.: System Identification: Least-Squares Methods. D.C. Heath and Company (1977)Google Scholar
- 8.Kasabov, N.: Evolving connectionist systems: Methods and Applications in Bioinformatics. In: Brain study and intelligent machines, Springer, Great Britain (2003)Google Scholar
- 13.Neural Network Toolbox User’s Guide. The Math Works Inc., 3 Apple Hill Drive, Natrick, Massachusetts, Ver. 4 (2002)Google Scholar