Algorithm for building a neural network for function approximation

IEE Proceedings: Circuits, Devices and Systems

Volumn 149, Issue 5-6, 2002, Pages 301-307

  Jayadeva, ^a   Deb, A K ^a   Chandra, S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BACKPROPAGATION; ERROR ANALYSIS; FUNCTION EVALUATION; GRAPH THEORY; LINEAR PROGRAMMING; PIECEWISE LINEAR TECHNIQUES; TRANSFER FUNCTIONS;

BINARY TREE; FUNCTION APPROXIMATION; LINEAR THRESHOLD NEURONS;

MULTILAYER NEURAL NETWORKS;

EID: 0036823411     PISSN: 13502409     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cds:20020514     Document Type: Article

References (9)

1. Narendra, K.S., and Parthasarathy, K.: 'Identification and control of dynamical systems using neural networks', IEEE Trans. Neural Netw., 1990, pp. 4-27
2. Bose, N.K., and Liang, P.: 'Neural network fundamentals with graphs, algorithms and applications' (Tata McGraw-Hill Publishing Company Limited, New Delhi, 1998)
3. Hornik, K., Stinchcombe, M., and White, H.: 'Multilayer feed-forward networks are universal approximators', Neural Netw., 1989, 2, pp. 359-366
4. Cybenko, G.: 'Approximation by superimposition of a sigmoidal function', Math. Control Signals Syst., 1989, 2, pp. 303-314
5. Liu, G.P., Kadirkamanathan, V., and Billings, S.A.: 'Variable neural networks for adaptive control of nonlinear systems', IEEE Trans. Syst. Man Cybern. C, Appl. Rev., Feb 1999, Vol. 29, (1), pp. 34-43
6. Hahnloser, R.L.T.: 'On the piecewise analysis of networks for linear threshold neurons', Neural Netw, 1998, 11, pp. 691-697
7. Wersing, H., Beyn, W.J., and Ritter, H.: 'Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions', Neural Comput., 2001, 13, pp. 1811-1825
8. Ben Yishai, R., Lev Bar-Or, R., and Sompolinsky, H.: 'Theory of orientation tuning in visual cortex', Proc. Natl. Acad. Sci. USA, April 1995, 92, pp. 3844-3848
9. Bennett, K.P., and Mangasarian, O.L.: 'Robust linear programming discrimination of two linearly inseparable sets', Optimization Methods Softw., 1992, pp. 23-34