Abstract
The application of neural networks to domains involving prediction and classification of symbolic data requires a reconsideration and a careful definition of the concept of distance between patterns. Traditional distances are inadequate to access the differences between the symbolic patterns. This work proposes the utilization of a statistically extracted distance measure in the context of Generalized Radial Basis Function (GRBF) networks. The main properties of the GRBF networks are retained in the new metric space. The regularization potential of these networks can be realized with this type of distance. Furthermore, the recent engineering of neural networks offers effective solutions for learning smooth functionals that lie on high dimensional spaces.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Simon Haykin, Neural Networks, MacMillan College Publishing Company, Second Edition,1999.
T. Poggio and F. Girosi. Regularization algorithms for learning that are equivalent to multilayer perceptrons, Science 247 (1990):978–982.
Pierre Baldi, Soren Brunak, Bioinformatics, MIT Press, 1998.
Federico Girosi, “An Equivalence Between Sparse Approximation and Support Vector Machines”, Neural Computation, 10:6, (1998), pp. 1455–1480.
C. Stanfill, D. Waltz, “Toward memory-based reasoning”, Communications of the ACM, 29:12 (1986), pp.1213–1228.
G. Towell, J. Shavlik, M. Noordewier, “Refinement of aproximate domain theories by knowledge-based neural networks”, Proceedings Eight National Conference on Artificial Intelligence, pp. 861–866, Menlo Park, CA: AAAI Press.
Justin C.W. Debuse and Victor Jayward-Smith, “Discretisation of Continuous Commercial Database Features for a Simulated Annealing Data Mining Algorithm” Applied Intelligence 11, pp. 285–295 (1999).
D. Randall Wilson, Tony R. Martinez, “Improved Heterogenous Distance Functions”, Journal of Artificial Intelligence Research 6 (1997), p. 1–34.
Christopher M. Bishop, Neural Networks for Pattern Recognition Clarendon Press-Oxford, 1996).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vladutu, L., Papadimitriou, S., Mavroudi, S., Bezerianos, A. (2001). Generalised RBF Networks Trained Using an IBL Algorithm for Mining Symbolic Data. In: Cheung, D., Williams, G.J., Li, Q. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2001. Lecture Notes in Computer Science(), vol 2035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45357-1_63
Download citation
DOI: https://doi.org/10.1007/3-540-45357-1_63
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41910-5
Online ISBN: 978-3-540-45357-4
eBook Packages: Springer Book Archive