A Multidimensional Cascade Neuro-Fuzzy System with Neuron Pool Optimization in Each Cascade

A new architecture and learning algorithms for the multidimensional hybrid cascade neural network with neuron pool optimization in each cascade are proposed in this paper. The proposed system differs from the well-known cascade systems in its capability to process multidimensional time series in an online mode, which makes it possible to process non- stationary stochastic and chaotic signals with the required accuracy. Compared to conventional analogs, the proposed system provides computational simplicity and possesses both tracking and filtering capabilities.

[1]  S. Kaczmarz Approximate solution of systems of linear equations , 1993 .

[2]  Illya Kokshenev,et al.  An adaptive learning algorithm for a neo fuzzy neuron , 2003, EUSFLAT Conf..

[3]  E. Mizutani,et al.  Neuro-Fuzzy and Soft Computing-A Computational Approach to Learning and Machine Intelligence [Book Review] , 1997, IEEE Transactions on Automatic Control.

[4]  Christian Lebiere,et al.  The Cascade-Correlation Learning Architecture , 1989, NIPS.

[5]  G. V. Barkan,et al.  CASCADE NEURAL NETWORKS , 1999 .

[6]  Lutz Prechelt,et al.  Investigation of the CasCor Family of Learning Algorithms , 1997, Neural Networks.

[7]  Takeshi Yamakawa,et al.  Soft Computing Based Signal Prediction, Restoration, and Filtering , 1997 .

[8]  Yevgeniy Bodyanskiy,et al.  HYBRID CASCADE NEURAL NETWORK BASED ON WAVELET-NEURON , 2011 .

[9]  Yevgeniy Bodyanskiy,et al.  THE CASCADE GROWING NEURAL NETWORK USING QUADRATIC NEURONS AND ITS LEARNING ALGORITHMS FOR ON-LINE INFORMATION PROCESSING , 2009 .

[10]  Andrzej Cichocki,et al.  Neural networks for optimization and signal processing , 1993 .

[11]  J. Nazuno Haykin, Simon. Neural networks: A comprehensive foundation, Prentice Hall, Inc. Segunda Edición, 1999 , 2000 .

[12]  TSUTOMU MIKI Analog Implementation of Neo-Fuzzy Neuron and Its On-board Learning , 1999 .

[13]  Yevgeniy Bodyanskiy,et al.  THE CASCADE ORTHOGONAL NEURAL NETWORK , 2008 .

[14]  Nikola Kasabov,et al.  Evolving connectionist systems , 2002 .

[15]  Gunjan Goel,et al.  Data Driven Fuzzy Modeling for Sugeno and Mamdani Type Fuzzy Model using Memetic Algorithm , 2013 .

[16]  Edwin Lughofer,et al.  Evolving Fuzzy Systems - Methodologies, Advanced Concepts and Applications , 2011, Studies in Fuzziness and Soft Computing.

[17]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[18]  Robert J. Schalkoff,et al.  Artificial neural networks , 1997 .

[19]  Bernard Widrow,et al.  Adaptive switching circuits , 1988 .

[20]  Walmir M. Caminhas,et al.  A neo-fuzzy-neuron with real time training applied to flux observer for an induction motor , 1998, Proceedings 5th Brazilian Symposium on Neural Networks (Cat. No.98EX209).

[21]  Yevgeniy Bodyanskiy,et al.  EVOLVING CASCADE NEURAL NETWORK BASED ON MULTIDIMESNIONAL EPANECHNIKOV'S KERNELS AND ITS LEARNING ALGORITHM , 2011 .

[22]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[23]  Manisha Barman,et al.  A Framework for Selection of Membership Function Using Fuzzy Rule Base System for the Diagnosis of Heart Disease , 2013 .