A New Approach Using Temporal Radial Basis Function in Chronological Series

In this paper, we present an extended form of Radial Basis Function network called Temporal-RBF (T-RBF) network. This extended network can be used in decision rules and classification in Spatio-Temporal domain applications, like speech recognition, economic fluctuations, seismic measurements and robotics applications. We found that such a network complies with relative ease to constraints such as capacity of universal approximation, sensibility of node, local generalisation in receptive field, etc. For an optimal solution based on a probabilistic approach with a minimum of complexity, we propose two TRBF models (1 and 2). Application to the problem of Mackey-Glass time series has revealed that TRBF models are very promising, compared to traditional networks.

A New Approach Using Temporal Radial Basis Function in Chronological Series

In this paper, we present an extended form of Radial Basis Function network called Temporal-RBF (T-RBF) network. This extended network can be used in decision rules and classification in Spatio-Temporal domain applications, like speech recognition, economic fluctuations, seismic measurements and robotics applications. We found that such a network complies with relative ease to constraints such as capacity of universal approximation, sensibility of node, local generalisation in receptive field, etc. For an optimal solution based on a probabilistic approach with a minimum of complexity, we propose two TRBF models (1 and 2). Application to the problem of Mackey-Glass time series has revealed that TRBF models are very promising, compared to traditional networks.

___

  • S.P. Day, M.R. Davenport, Continuous-Time temporal Back-Propagation with adaptable Time Delays. IEEE Transaction on Neural Networks 1993; 4(12):348–354.
  • D.T. Lin, The adaptive Time delay Neural Network Characterization and Application to Pattern Recognition, Prediction and signal processing. Thesis Report PHD. University of Maryland, 1994.
  • C. Wohler, J.K. Anlauf, Real time object recognition on image sequences with adaptable time delay Neural Network Algorithm -application to autonomous vehicles. Image and Vision, Computing Journal 2001; 19(9–10): 593–618.
  • R. Bonne, M. Cruciano, J.P.A. De Beauville, An algorithm for the addition of time-delayed connections to recurrent neural network. ESANN’2000 proceeding, Bruge (Belgium); 293–298.
  • F. Gers, D. Eck, J. Schmidhuber, Applying LSTM to time series predictable through time window approaches. Technical Report; IDSIA-IDSIA-22-00. Institute Dalle Molle di studi Sull intelligenza artiŞciale, Galleria2, Switzerland, 1999.
  • N.B. Karyianis, Reformulated radial basis function neural network trained by gradient descent. IEEE transaction on Neural Network may 1999; 10(3): 657–669.
  • S. Haykin, Neural Networks a comprehensive foundation. Prentice Hall Upper Saddle River, New Jersey, 1999. [8] G. Zheng, S. Billings, Radial basis function network conŞguration using mutual information and the Orthogonal Least Squares algorithms. Neural Network 1996; 9(6): 1619–1637.
  • Z. Mekkakia, L. Mesbahi, M. Lakehal, Initialising of RBF centers by SOM Algorithm. MS’2002, International Conference on modeling and simulation in technical and social sciences, Girona, Catalonia, Spain 25–27 june 2002; 717–723.
  • D.T. Lin, J.E. Dayhoff, Network Unfolding Algorithm and universal spatio-temporal function approximation. Technical Research Report TR95-6. Institute for system research ISR; University of Maryland; College Park MD.
  • M.K. Titsias, A.C. Likas, Shared kernel model for class Conditional density Estimation. IEEE transaction on Neural Network September 2001; 12(5): 987–996.