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The Training of Pi-Sigma Artificial Neural Networks with Differential Evolution Algorithm for Forecasting

Published: 01 April 2022 Publication History

Abstract

Looking at the artificial neural networks’ literature, most of the studies started with feedforward artificial neural networks and the training of many feedforward artificial neural networks models are performed with derivative-based algorithms such as levenberg–marquardt and back-propagation learning algorithms in the first studies. In recent years, although many new heuristic algorithms have been proposed for different aims these heuristic algorithms are also frequently used in the training process of many different artificial neural network models. Pi-sigma artificial neural networks have different importance than many artificial neural network models with its higher-order network structure and superior forecasting performance. In this study, the training of Pi-Sigma artificial neural networks is performed by differential evolution algorithm uses DE/rand/1 mutation strategy. The performance of the proposed method is evaluated by two data sets and seen that the proposed method has a very effective performance compared with many artificial neural network models.

References

[1]
Akdeniz E, Egrioglu E, Bas E, and Yolcu U An ARMA type pi-sigma artificial neural network for nonlinear time series forecasting Journal of Artificial Intelligence and Soft Computing Research 2018 8 2 121-132
[2]
Akram U, Ghazali R, Ismail LH, Zulqarnain M, Husaini NA, and Mushtaq MF An improved pi-sigma neural network with error feedback for physical time series prediction International Journal of Advanced Trends in Computer Science and Engineering 2019 8 276-284
[3]
Aladag CH, Yolcu U, and Egrioglu E A new multiplicative seasonal neural network model based on particle swarm optimization Neural Processing Letters 2013 37 3 251-262
[4]
Bas E The training of multiplicative neuron model based artificial neural networks with differential evolution algorithm for forecasting Journal of Artificial Intelligence and Soft Computing Research 2016 6 1 5-11
[5]
Bas E, Yolcu U, Egrioglu E, Cagcag Yolcu O, and Dalar AZ Single multiplicative neuron model artificial neuron network trained by bat algorithm for time series forecasting American Journal of Intelligent Systems 2016 6 3 74-77
[6]
Bas E, Grosan C, Egrioglu E, and Yolcu U High order fuzzy time series method based on pi-sigma neural network Engineering Applications of Artificial Intelligence 2018 72 350-356
[7]
Cagcag Yolcu O, Bas E, Egrioglu E, and Yolcu U Single Multiplicative Neuron Model Artificial Neural Network with Autoregressive Coefficient for Time Series Modelling Neural Processing Letters 2018 47 1133-1147
[8]
Dash R, Routray A, Rautray R, and Dash R Gold price prediction using an evolutionary pi-sigma neural network International Journal of Engineering & Technology 2018 7 742-746
[9]
Deepa M, Rajalakshmi M, and Nedunchezhian R Higher order neural networks based on bioinspired swarm intelligence optimization algorithm for multimodal tumor data analysis Biomedical Research Special Issue 2018 29 113-117
[10]
Egrioglu, E., Aladag, C.H., Yolcu, U., Bas, E., Dalar, A.Z.: A new neural network model with deterministic trend and seasonality components for time series forecasting. In: Advances in time series forecasting, Vol 2, Chapter 4, Bentham, 76–92. (2017)
[11]
Egrioglu E, Aladag CH, Yolcu U, and Bas E Recurrent multiplicative neuron model artificial neural network for non-linear time series forecasting Neural Processing Letters 2015 41 2 249-258
[12]
Elman JL Finding Structure in Time Cognitive Science 1990 14 2 179-211
[13]
Ghazali R and Jumeily DA Application of Pi-Sigma neural networks and ridge polynomial neural networks to financial time series prediction Artificial Higher Order Neural Networks for Economics and Business, Chapter 2009 12 271-293
[14]
Giles CL and Maxwell T Learning, invariance, and generalization in high-order neural networks Applied Optics 1987 26 4972-4978
[15]
Giles CL, Griffin R, and Maxwell T Application of Pi-Sigma neural networks and ridge polynomial neural networks to financial time series prediction 1988 New York American Institute of Physics 301-309
[16]
Guler, M., Sahin, E.: A binary-input supervised neural unit that forms input dependent higher-order synaptic correlations, Proceedings of world congress on neural networks III. pp 730–735. (1994)
[17]
Gundogdu O, Egrioglu E, Aladag CH, and Yolcu U Multiplicative neuron model artificial neural network based on gauss activation function Neural Computing and Applications 2015 27 4 927-935
[18]
Husaini NA, Ghazali R, Nawi MN, and Ismail LH Zain JM, Wan Mohd WM, and El-Qawasmeh E Pi-Sigma neural network for temperature forecasting in batu pahat Software Engineering and Computer Systems. Communications in Computer and Information Science 2011 Berlin Heidelberg Springer
[19]
Husaini NA, Ghazali R, Nawi MN, and Ismail LH The Effect of Network Parameters on Pi-Sigma Neural Network for Temperature Forecasting International Journal of Modern Physics: Conference Series 2012 9 440-447
[20]
Husaini NA, Ghazali R, Nawi MN, Ismail LH, Deris MM, and Herawan T Pi-Sigma neural network for a one-step-ahead temperature forecasting International Journal of Computational Intelligence and Applications 2014 13 4 1450023
[21]
Kelwade JP and Salankar SS Training of multilayer perceptrons with improved particle swarm optimization for the heart diseases prediction International Journal of Swarm Intelligence and Evolutionary Computation 2017 6 2 1-8
[22]
Kocak C, Dalar AZ, Cagcag Yolcu O, Bas E, and Egrioglu E A new fuzzy time series method based on an ARMA-Type recurrent Pi-Sigma artificial neural network Soft Computing 2020 24 8243-8252
[23]
Li, X. B. (2009). RBF neural network optimized by particle swarm optimization for forecasting urban traffic flow. In Proceedings of the third international symposium on intelligent technology application, (pp. 124–127).
[24]
McCulloch WS and Pitts WA A logical calculus of the ideas immanent in nervous activity Buttetin of Mathematics and Biophysics 1943 5 115-133
[25]
Mohamed KS, Liu Y, Wu W, and Alemu HZ Batch gradient method for training of Pi-Sigma neural network with penalty International Journal of Artificial Intelligence & Applications (IJAIA) 2016 7 1 11-20
[26]
Nayak SC Development and performance evaluation of adaptive hybrid higher order neural networks for exchange rate prediction International Journal of Intelligent Systems and Applications 2017 9 8 71-85
[27]
Nayak SC A fireworks algorithm-based Pi-Sigma neural network (FWA-PSNN) for modelling and forecasting chaotic crude oil price time series EAI Endorsed Transactions on Energy Web 2020
[28]
Nayak SC and Ansari MD Cooperative optimization algorithm based higher order neural networks for stock forecasting Recent Advances in Computer Science and Communications. 2020
[29]
Nayak J, Naik B, and Behera HS A Novel Chemical Reaction Optimization Based Higher Order Neural Network (CRO-HONN) For nonlinear classification Ain Shams Engineering Journal 2015 6 1069-1091
[30]
Ojha VK, Abraham A, and Snášel V Metaheuristic design of feedforward neural networks: a review of two decades of research Engineering Applications of Artificial Intelligence 2017 60 97-116
[31]
Panda N and Majhi SK Improved spotted hyena optimizer with space transformational search for training Pi-Sigma higher order neural network Computational Intelligence 2020 36 1 320-350
[32]
Pattanayak, RM., Behera, HS., Panigrahi, S.: A multi-step-ahead fuzzy time series forecasting by using hybrid chemical reaction optimization with Pi-Sigma higher-order Neural Network. Computational Intelligence in Pattern Recognition, 1029–1041. (2020)
[33]
Rumelhart E, Hinton GE, and Williams RJ Learning Internal Representations by Error Propagation, Chapter 8 1986 Cambridge The M.I.T. Press 318-362
[34]
Shin, Y., Gosh, J.: The sigma network: an efficient higher order neural network for pattern classification and function approximation. In Proceedings of the International Joint Conference on Neural Networks. (1991)
[35]
Storn R and Price K Differential evolution: a simple and efficient adaptive scheme for global optimization over continuous spaces, technical report TR-95-012 1995 Berkeley International Computer Science Institute
[36]
Yadav RN, Kalra PK, and John J Time series prediction with single multiplicative neuron model Applied Soft Computing 2007 7 1157-1163
[37]
Yolcu, U., Egrioglu, E., Aladag, C.H. A New Linear & Nonlinear artificial neural network model for time series forecasting. Decision Support Systems, 1340–134. (2013)
[38]
Zhao L and Yang Y PSO-based single multiplicative neuron model for time series prediction Expert Systems with Applications 2009 36 2805-2812

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Published In

cover image Computational Economics
Computational Economics  Volume 59, Issue 4
Apr 2022
484 pages

Publisher

Kluwer Academic Publishers

United States

Publication History

Published: 01 April 2022
Accepted: 20 December 2020

Author Tags

  1. Pi-Sigma artificial neural networks
  2. Differential Evolution Algorithm
  3. Higher-order neural networks
  4. Forecasting

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