Experiments with a Hybrid-Complex Neural Networks for Long Term Prediction of Electrocardiograms

In this paper we present the results obtained by a partially recurrent neural network, called the hybrid-complex neural network (HCNN), for long-term prediction of electrocardiograms. Two different topologies of the HCNN are reported here. Even though the predicted series were not similar enough to the expected values, the HCNN produced chaotic time series with positive Lyapunov exponents, and it was able to oscillate and to keep stable for a period at least 3 times the training series. This behavior, not found with other predictors, shows that the HCNN is acting as a dynamical system able to generate chaotic behavior, which opens for further research in this kind of topologies.

[1]  Rajaiah Karanam Prediction of the behavior of the human heart using methods of non-linear dynamics , 1996 .

[2]  R. Gencay,et al.  An algorithm for the n Lyapunov exponents of an n -dimensional unknown dynamical system , 1992 .

[3]  Maria Del Pilar Gomez Gil,et al.  The effect of non-linear dynamic invariants in recurrent neural networks for prediction of electrocardiograms , 1998 .

[4]  Ronald J. Williams,et al.  Experimental Analysis of the Real-time Recurrent Learning Algorithm , 1989 .

[5]  Paul J. Werbos,et al.  The Roots of Backpropagation: From Ordered Derivatives to Neural Networks and Political Forecasting , 1994 .

[6]  Paul J. Werbos,et al.  The roots of backpropagation , 1994 .

[7]  Leon O. Chua,et al.  Practical Numerical Algorithms for Chaotic Systems , 1989 .

[8]  Yasser M. Kadah,et al.  Study of features based on nonlinear dynamical modeling in ECG arrhythmia detection and classification , 2002, IEEE Transactions on Biomedical Engineering.

[9]  A. Casaleggio,et al.  Study of the Lyapunov exponents of ECG signals from MIT-BIH database , 1995, Computers in Cardiology 1995.

[10]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[11]  Yukio Hayashi,et al.  Oscillatory neural network and learning of continuously transformed patterns , 1994, Neural Networks.

[12]  A. Babloyantz,et al.  Is the normal heart a periodic oscillator? , 1988, Biological Cybernetics.

[13]  F. Takens Detecting strange attractors in turbulence , 1981 .

[14]  Edward M. Corwin,et al.  Chaos and learning in recurrent neural networks , 1996 .

[15]  Gustavo Deco,et al.  Dynamic modeling of chaotic time series by neural networks , 1997, Annual Conference Computational Learning Theory.