A functional link network with ordered basis functions

IEEE International Conference on Neural Networks - Conference Proceedings

Volumn , Issue , 2007, Pages 1708-1713

  Sureka, Saurabh ^a,b   Manry, Michael ^a,b  

^a IEEE

^b The University of Texas at Arlington   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER NETWORKS; POLYNOMIAL APPROXIMATION;

BASIS FUNCTIONS; JOINT CONFERENCE;

NEURAL NETWORKS;

EID: 51749101044     PISSN: 10987576     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IJCNN.2007.4371215     Document Type: Conference Paper

References (23)

1. D. E. Rumelhart, G. E. Hinton, and R. J. Williams, Learning representations by back-propagating errors, Nature, pp. 533-536, 1986.
2. K. Hornik, M. Stinchcombe, and H. White, "Multilayer Feedforward Networks Are Universal Approximators." Neural Networks, Vol. 2, No. 5, 1989, pp. 359-366.
3. K. Hornik, M. Stinchcombe, and H. White, "Universal Approximation of an Unknown Mapping and its Derivatives Using Multilayer Feedforward Networks," Neural Networks, vol. 3, 1990, pp. 551-560.
4. Michael T. Manry, Steven J. Apollo, and Qiang Yu, "Minimum Mean Square Estimation and Neural Networks," Neurocomputing, vol. 13, September 1996, pp. 59-74.
5. Dennis W. Ruck, Steven K. Rogers, Matthew Kabrisky, Mark E. Oxley and Bruce W. Suter, "The Multilayer Perceptron as an approximation to a Bayes optimal discriminant function," IEEE Trans Neural Networks, TNN-1(4):296-298, 1990.
6. Y. H. Pao and Y. Takefuji, "Functional-Link Net Computing: Theory, System Architecture, and Functionalities," IEEE Computer, Vol. 25, No. 5, 1992, pp. 76 - 79.
7. J. Macias.A., A. Sierra., F. Corbacho, "Evolving and assembling functional link networks", IEEE Trans. on Evolutionary Computation, Vol. 5, No. 1, 2001, pp. 54-65.
8. M. Klassen, Y. H. Pao., V. Chen, "Characteristics of the functional link net: a higher order delta rule net", IEEE Con. Neural Networks, Vol. 1, 1988, pp. 507-513.
9. A. G. Ivakhnenko, "Heuristic self-organization in problems of engineering cybernetics", Automutica, Vo1.6, No.2, 1970, pp.207-219.
10. S. J. Farlow ed., "Self-organizing Methods in Modeling, GMDH-type Algorithms", Marcel Dekker, Inc., New York, 1984.
11. Y. Shin, J. Ghosh, "The pi-sigma network: an efficient higher-order neural network for pattern classification and function approximation", Proc. of IJCNN, Vol 1, 1991, pp. 13-18.
12. Y. Shin, J. Ghosh, "Ridge polynomial networks", IEEE Trans. Neural Networks, Vol. 6, Iss. 3, 1995, pp. 610 - 622.
13. S. Chen, C. F. N. Cowan, and P. M. Grant, "Orthogonal least squares learning algorithm for radial basis function networks," IEEE Trans. Neural Networks, vol. 2, 1991, pp. 302-309.
14. W. Kaminski and P. Strumillo, "Kernel Orthonormalization in Radial Basis Function Neural Networks," IEEE Trans. Neural Networks, Vol. 8, No. 5, 1997, pp. 1177-1183.
15. W. Kolrnogorov. Interpolation and extrapolation of stationary series. Bulletin de lAcademie de, U.S.S.R.,2:3, 1942.
16. F. Ling, D. Manokalis, J. G. Proakis, "A Recursive Modified Gram-Schmidt Algorithm for Least-Squares Estimation", IEEE Trans. Acoustics, Speech, Signal Processing, Vol. ASSP-34, No. 4,1986, pp. 829-836.
17. F. J. Maldonado, M. T. Manry, T. Kim, "Finding optimal neural network basis function subsets using the Schmidt procedure", Proc. of IJCNN, Vol. 1, 2003, pp. 444 - 449.
18. J. Li, M. T. Manry, P. Narasimha, C. Yu, "Feature Selection Using a Piecewise Linear Network", IEEE Trans. Neural Networks, Vol 17, No. 5, 2006, pp.1101-1115.
19. I.V. Tetko, J. Gasteiger, R. Todeschini, A. Mauri, D. Livingstone, P. Ertl, V.A. Palyulin, E.V. Radchenko, N.S. Zefirov, A. S. Makarenko, V.Y. Tanchuk, V. V. Prokopenko, "Virtual computational chemistry laboratory - design and description," J. Comput. Aid. Mol. Des. 2005, 19, pp. 453-63.
20. VCCLAB, Virtual Computational Chemistry Laboratory, 2005, Available: http://www.vcclab.org.
21. Changhua Yu, Manry, M.T., "A modified hidden weight optimization algorithm for feedforward neural networks", IEEE Asilomar Con. on Signals, Systems and Computers, 2002. Vol. 2, 2002, pp.1034-1038.
22. R.K. Pace, R. Barry, "Sparse spatial autoregressions", Statistics & Probability Letters, Vol. 33, No. 3, May 1997, pp. 291-297.
23. Y. Oh, K. Sarabandi, and F.T. Ulaby, "An Empirical Model and an Inversion Technique for Radar Scattering from Bare Soil Surfaces" , IEEE Trans. Geoscience and Remote Sensing, 1992, pp. 370-381.