Abstract
This paper proposes a new architecture and learning algorithms for a hybrid cascade neural network with pool optimization in each cascade. The proposed system is different from existing cascade systems in its capability to operate in an online mode, which allows it to work with non-stationary and stochastic nonlinear chaotic signals with the required accuracy. Compared to conventional analogs, the proposed system provides computational simplicity and possesses both tracking and filtering capabilities.



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Almeida L, Silva F (1990) Speeding up backpropagation. Adv Neural Comput, pp 151–158
Angelov P, Filev D (2004) An approach to online identification of Takagi–Sugeno fuzzy models. IEEE Trans Syst Man Cybern Part B Cybern 34(1):484–498
Angelov P, Filev D (2005) Simpl e TS: a simplified method for learning evolving Takagi–Sugeno fuzzy models. In: Proceedings of FUZZ-IEEE, pp 1068–1073
Angelov P, Kasabov N (2005) Evolving computational intelligence systems. In: Proceedings of the 1st international workshop on genetic fuzzy systems, pp 76–82
Angelov P, Lughofer E (2008) Data-driven evolving fuzzy systems using e TS and FLEXFIS: comparative analysis. Int J Gen Syst 37(1):45–67
Angelov P, Zhou X (2006) Evolving fuzzy systems from data streams in real-time. In: Proceedings of 2006 international symposium on evolving fuzzy systems, pp 29–35
Angelov P, Zhou X (2008) Evolving fuzzy-rule-based classifiers from data streams. IEEE Trans Fuzzy Syst 16(6):1462–1475
Angelov P, Xydeas C, Filev D (2004) Online identification of MIMO evolving Takagi–Sugeno fuzzy models. In: Proceedings of IJCNN-FUZZ-IEEE, pp 55–60
Angelov P, Lughofer E, Klement E (2005) Two approaches to data-driven design of evolving fuzzy systems: e TS and FLEXFIS. In: Proceedings of NAFIPS, pp 31–35
Angelov P, Giglio V, Guardiola C, Lughofer E, Lujan J (2006) An approach to modelbased fault detection in industrial measurement systems with application to engine test benches. Meas Sci Technol 17(7):1809–1818
Angelov P, Zhou X, Filev D, Lughofer E (2007) Architectures for evolving fuzzy rulebased classifiers. In: Proceedings of SMC, pp 2050–2055
Angelov P, Lughofer E, Zhou X (2008) Evolving fuzzy classifiers using different model architectures. Fuzzy Sets Syst 159(23):3160–3182
Angelov P, Filev D, Kasabov N (2010) Evolving intelligent systems: methodology and applications. Wiley, New York
Avedjan E, Barkan G, Levin I (1999) Cascade neural networks. Avtomatika i telemekhanika 3:38–55
Bodyanskiy Y, Kolodyazhniy V (2010) Cascaded multi-resolution spline-based fuzzy neural network. In: Proceedings of international symposium on evolving intelligent systems, pp 26–29
Bodyanskiy Y, Pliss I (1990) Adaptive generalized forecasting of multivariate stochastic signals. In: Proceedings Latvian signal proceedings of international conference, vol 2, pp 80–83
Bodyanskiy Y, Viktorov Y (2009a) The cascaded neo-fuzzy architecture and its on-line learning algorithm. Intell Process 9:110–116
Bodyanskiy Y, Viktorov Y (2009b) The cascaded neo-fuzzy architecture using cubic-spline activation functions. Inf Theor Appl 16(3):245–259
Bodyanskiy Y, Vorobyov S (2000) Recurrent neural network detecting changes in the properties of nonlinear stochastic sequences. Autom Remote Control 61(7):1113–1124
Bodyanskiy Y, Madjarov N, Pliss I (1983) Adaptive forecasting of nonstationary processes. Avtomatika I Izchislitelna Tekhnika 6:5–12
Bodyanskiy Y, Pliss I, Solovyova T (1986) Multistep optimal predictors of multidimensional non-stationary stochastic processes. Doklady AN USSR A(12):47–49
Bodyanskiy Y, Pliss I, Solovyova T (1989) Adaptive generalized forecasting of multidimensional stochastic sequences. Doklady AN USSR A(9):73–75
Bodyanskiy Y, Stephan A, Vorobyov S (1999) Algorithm for adaptive identification of dynamical parametrically nonstationary objects. J Comp Syst Sci Int 38(1):14–38
Bodyanskiy Y, Cichocki A, Vorobyov S (2001a) An adaptive noise cancellation for multisensory signals. Fluct Noise Lett 1(1):13–24
Bodyanskiy Y, Kolodyazhniy V, Stephan A (2001b) An adaptive learning algorithm for a neuro-fuzzy network, pp 68–75
Bodyanskiy Y, Kokshenev I, Kolodyazhniy V (2003a) An adaptive learning algorithm for a neo-fuzzy neuron. In: Proceedings of international conference of European Union Society for fuzzy logic and technology, pp 375–379
Bodyanskiy Y, Kolodyazhniy V, Otto P (2003b) A new learning algorithm for a forecasting neuro-fuzzy network. Integr Comput Aided Eng 10(4):399–409
Bodyanskiy Y, Dolotov A, Pliss I, Viktorov Y (2008) The cascaded orthogonal neural network. Inf Sci Comput 2:13–20
Bodyanskiy Y, Viktorov Y, Pliss I (2009) The cascade growing neural network using quadratic neurons and its learning algorithms for on-line information processing. Intell Inf Eng Syst 13:27–34
Bodyanskiy Y, Grimm P, Teslenko N (2011a) Evolving cascaded neural network based on multidimensional Epanechnikov’s kernels and its learning algorithm. Inf Technol Knowl 5(1):25–30
Bodyanskiy Y, Kharchenko O, Vynokurova O (2011b) Hybrid cascaded neural network based on wavelet-neuron. Inf Theor Appl 18(4):335–343
Bodyanskiy Y, Teslenko N, Vynokurova O (2011c) Cascaded GMDH-wavelet-neuro-fuzzy network. In: international workshop on inductive modelling, pp 22–30
Chan L, Fallside F (1987) An adaptive learning algorithm for backpropagation networks. Comput Speech Lang 2:205–218
Cichocki A, Unbehauen R (1993) Neural Netw Optim Signal Process. Teubner, Stuttgart
Fahlman S, Lebiere C (1990) The cascade-correlation learning architecture. Adv Neural Inf Process Syst 2:524–532
Haykin S (1999) Neural networks: a comprehensive foundation. Prentice Hall, NJ
Hoff M, Widrow B (1960) Adaptive switching circuits, pp 96–104
Holmes G, Veitch A (1991) A modified quickprop algorithm. Neural Comput 3:310–311
Jang JSR, Sun CT, Muzutani E (1997) Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence. Prentice Hall, Upper Saddle River
Kaczmarz S (1937) Angenäeherte Auflösung von Systemen linearer Gleichungen. Bull Acad Polon Sci Lett A 35:355–357
Kaczmarz S (1993) Approximate solution of systems of linear equations. Int J Control 53:1269–1271
Kadirkamanathan V, Niranjan M (1993) A function estimation approach to sequential learning with neural networks. Neural Comput 5:954–975
Kasabov N (2001) Evolving fuzzy neural networks for supervised/unsupervised online knowledge-based learning. IEEE Trans Syst Man Cybern Part B Cybern 31(6):902–918
Kasabov N (2003) Evolving connectionist systems. Springer, London
Kasabov N (2007) Evolving connectionist systems: the knowledge engineering approach. Springer, London
Kasabov N, Song Q (2002) DENFIS: dynamic evolving neural-fuzzy inference system and its application for time-series prediction. IEEE Trans Fuzzy Syst 10(2):144–154
Kasabov N, Zhang D, Pang P (2005) Incremental learning in autonomous systems: evolving connectionist systems for on-line image and speech recognition. In: Proceedings of IEEE workshop on advanced robotics and its social impacts, pp 120–125
Kruschke J, Movellan J (1991) Benefits of gain: speed learning and minimum layers backpropagation networks. IEEE Trans Syst Man Cybern 21:273–280
Kusanagi H, Miki T, Uchino E, Yamakawa T (1992) A neo-fuzzy neuron and its applications to system identification and prediction of the system behavior. In: Proceedings of international conference on fuzzy logic and neural networks, pp 477–483
Ljung L (1999) System identification: theory for the user. Prentice Hall, NJ
Lughofer E (2006) Process safety enhancements for data-driven evolving fuzzy models. In: Proceedings of the 2nd symposium on evolving fuzzy systems, pp 42–48
Lughofer E (2008a) Evolving vector quantization for classification of on-line data streams. In: Proceedings of conference on computational intelligence for modelling, control and automation, pp 780–786
Lughofer E (2008b) Extensions of vector quantization for incremental clustering. Pattern Recognit 41(3):995–1011
Lughofer E (2008c) FLEXFIS: a robust incremental learning approach for evolving ts fuzzy models. IEEE Trans Fuzzy Syst 16(6):1393–1410
Lughofer E (2010a) On dynamic selection of the most informative samples in classification problems. In: Proceedings of the 9th international conference in machine learning and applications, pp 120–125
Lughofer E (2010b) On-line evolving image classifiers and their application to surface inspection. Image Vis Comput 28(7):1063–1172
Lughofer E (2011) Evolving fuzzy systems and methodologies: advanced concepts and applications. Springer, Heidelberg
Lughofer E, Angelov P (2009) Detecting and reacting on drifts and shifts in on-line data streams with evolving fuzzy systems. In: Proceedings of the IFSA/EUSFLAT 2009 conference, pp 931–937
Lughofer E, Angelov P (2011) Handling drifts and shifts in on-line data streams with evolving fuzzy systems. Appl Soft Comput 11(2):2057–2068
Lughofer E, Bodenhofer U (2006) Incremental learning of fuzzy basis function networks with a modified version of vector quantization. IPMU 2006:56–63
Lughofer E, Guardiola C (2008a) Applying evolving fuzzy models with adaptive local error bars to on-line fault detection. In: Proceedings of genetic and evolving fuzzy systems 2008, pp 35–40
Lughofer E, Guardiola C (2008b) On-line fault detection with data-driven evolving fuzzy models. J Control Intell Syst 36(4):307–317
Lughofer E, Kindermann S (2008) Improving the robustness of data-driven fuzzy systems with regularization. In: Proceedings of the IEEE world congress on computational intelligence 2008, pp 703–709
Lughofer E, Kindermann S (2010) Sparse FIS: data-driven learning of fuzzy systems with sparsity constraints. IEEE Trans Fuzzy Syst 18(2):396–411
Lughofer E, Klement E (2003) Online adaptation of Takagi–Sugeno fuzzy inference systems. In: Proceedings of CES-IMACS multiconference
Lughofer E, Klement E (2004) Premise parameter estimation and adaptation in fuzzy systems with open-loop clustering methods. In: Proceedings of FUZZ-IEEE 2004
Lughofer E, Efendic H, Re L, Klement E (2003) Filtering of dynamic measurements in intelligent sensors for fault detection based on data-driven models. In: Proceedings of the IEEE CDC conference, pp 463–468
Lughofer E, Klement E, Lujan J, Guardiola C (2004) Model-based fault detection in multi-sensor measurement systems. In: Proceedings of IEEE IS 2004, pp 184–189
Lughofer E, Huellermeier E, Klement E (2005) Improving the interpretability of data-driven evolving fuzzy systems. In: Proceedings of EUSFLAT 2005, pp 28–33
Lughofer E, Angelov P, Zhou X (2007) Evolving single- and multi-model fuzzy classifiers with FLEXFIS- class. In: Proceedings of FUZZ-IEEE 2007, pp 363–368
Lughofer E, Smith J, Caleb-Solly P, Tahir M, Eitzinger C, Sannen D, Nuttin M (2009) On human-machine interaction during on-line image classifier training. IEEE Trans Syst Man Cybern Part A Syst Hum 39(5):960–971
Miki T, Yamakawa T (1999) Analog implementation of neo-fuzzy neuron and its on-board learning. In: Computational intelligence and applications. WSES Press, Piraeus, pp 144–149
Narendra K, Parthasarathy K (1990) Identification and control of dynamical systems using neural networks. IEEE Trans Neural Netw 1(1):4–27
Prechelt L (1997) Investigation of the Cas Cor family of learning algorithms. Neural Netw 10:885–896
Rong NJ, Huang GB, Saratchandran P (2006) Sequential adaptive fuzzy inference system (SAFIS) for nonlinear system identification and prediction. Fuzzy Sets Syst 157(9):1260–1275
Schalkoff R (1997) Artificial neural networks. The McGraw-Hill Comp., New York
Uchino E, Yamakawa T (1997) Soft computing based signal prediction, restoration and filtering. Fuzzy logic, neural networks and genetic algorithms. In: Intelligent Hybrid Systems. Kluwer Academic Publishers, Boston, pp 331–349
Yingwei L, Sundararajan N, Saratchandran P (1997) A sequential learning scheme for function approximation using minimal radial basis function (RBF) neural networks. Neural Comput 9:461–478
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Bodyanskiy, Y., Tyshchenko, O. & Kopaliani, D. A hybrid cascade neural network with an optimized pool in each cascade. Soft Comput 19, 3445–3454 (2015). https://doi.org/10.1007/s00500-014-1344-3
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DOI: https://doi.org/10.1007/s00500-014-1344-3