Abstract
This chapter addresses the time series forecasting performance of sparsely connected neural networks (SCNNs). A novel type of SCNNs is presented based on the Apollonian networks. In terms of three types of publicly available benchmark data, a series of experiments are conducted to compare the forecasting performance of the proposed SCNNs, randomly connected SCNNs and traditional feed-forward neural networks. The comparison results show that the proposed networks generate the best time series forecasting performance and the traditional networks generate the worst in terms of training speed and forecasting accuracy. The performance of the proposed SCNNs is evaluated further based on different training sample sizes and training accuracy measures. The experimental results indicate that larger training sample sizes do not necessarily give better forecasts while forecasts based on training accuracy measures, MAD and MAPE, are generally superior to those based on MSE and MASE.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adya, M., & Collopy, F. (1998). How effective are neural networks at forecasting and prediction? A review and evaluation. Journal of Forecasting, 17(5–6), 481–495.
Aliev, R. A., Pedrycz, W., Guirimov, B. G., Aliev, R. R., Ilhan, U., Babagil, M., & Mammadli, S. (2011). Type-2 fuzzy neural networks with fuzzy clustering and differential evolution optimization. Information Sciences, 181(9), 1591–1608.
Andrade, R. F. S., & Herrmann, H. J. (2005). Magnetic models on Apollonian networks. Physical Review E, 71(5), 056131.
Baruque, B., Corchado, E., Mata, A., & Corchado, J. M. (2010). A forecasting solution to the oil spill problem based on a hybrid intelligent system. Information Sciences, 180(10), 2029–2043.
Bassett, D. S., & Bullmore, E. (2006). Small-world brain networks. Neuroscientist, 12(6), 512–523.
Charalambous, C. (1992). Conjugate-gradient algorithm for efficient training of artificial neural networks. IEE Processings-G Circuits Devices and Systems 139(3), 301–310.
Chatfield, C. (1993). Neural networks—Forecasting breakthrough or passing fad. International Journal of Forecasting, 9(1), 1–3.
Chen, S. T., Yu, D. C., Moghaddamjo, A. R., Lu, C. N., & Vemuri, S. (1992). Weather sensitive short-term load forecasting using nonfully connected artificial neural network. IEEE Transactions on Power Systems, 7(3), 1098–1105.
Eguiluz, V. M., Chialvo, D. R., Cecchi, G. A., Baliki, M., & Apkarian, A. V. (2005). Scale-free brain functional networks. Physical Review Letters, 94(1), 018102.
Elizondo, D., & Fiesler, E. (1997). A survey of partially connected neural networks. International Journal of Neural Systems, 8, 535–558.
Fildes, R., Hibon, M., Makridakis, S., & Meade, N. (1998). Generalising about univariate forecasting methods: further empirical evidence. International Journal of Forecasting, 14(3), 339–358.
Fletcher, R., & Reeves, C. M. (1964). Function minimization by conjugate gradients. The Computer Journal, 7, 149–154.
Gaynor, P. E., & Kirkpatrick, R. C. (1994). Introduction to time series modeling and forecasting in business and economics.
Gong, H., & Tang, L. (2011). Two-machine flowshop scheduling with intermediate transportation under job physical space consideration. Computers & Operations Research, 38(9), 1267–1274.
Guo, Z., Wong, W., & Li, M. (2012). Sparsely connected neural network-based time series forecasting. Information Sciences, 193(1), 54–71.
Hamzacebi, C. (2008). Improving artificial neural networks’ performance in seasonal time series forecasting. Information Sciences, 178(23), 4550–4559.
Han, M., & Wang, Y. (2009). Analysis and modeling of multivariate chaotic time series based on neural network. Expert Systems with Applications, 36(2), 1280–1290.
Hippert, H. S., Pedreira, C. E., & Souza, R. C. (2001). Neural networks for short-term load forecasting: A review and evaluation. IEEE Transactions on Power Systems, 16(1), 44–55.
Huang, W., Lai, K. K., Nakamori, Y., Wang, S. Y., & Yu, L. (2007). Neural networks in finance and economics forecasting. International Journal of Information Technology & Decision Making, 6(1), 113–140.
Hyndman, R. J., & Koehler, A. B. (2006). Another look at measures of forecast accuracy. International Journal of Forecasting, 22(4), 679–688.
Kanas, A. (2001). Neural network linear forecasts for stock returns. International Review of Economics and Finance, 10, 245–254.
Kang, S. (1991). An investigation of the use of feedforward neural networks for forecasting. Ohio: Ph.D., Kent State University.
Kang, S., & Isik, C. (2005). Partially connected feedforward neural networks structured by input types. IEEE Transactions on Neural Networks, 16(1), 175–184.
Lapedes, A., & Farber, R. (1987). Nonlinear signal processing using neural network: Prediction and system modeling. Los Alamos National Laboratory report LA-UR-87-2662. Los Alamos, New Mexico, USA.
Lapedes, A., & Farber, R. (Eds.). (1988). How neural nets work. Neural information processing system. Los Alamos, New Mexico, USA, New York: American Institute of Physics.
Maier, H. R., & Dandy, G. C. (2000). Neural networks for the prediction and forecasting of water resources variables: a review of modelling issues and applications. Environmental Modelling and Software, 15(1), 101–124.
Makridakis, S., & Hibon, M. (2000). The M3-Competition: Results, conclusions and implications. International Journal of Forecasting, 16(4), 451–476.
Marquez, L., Hill, T., O’Connor, M., & Remus W. (1992). Neural network models for forecast: A review. In Proceedings of the Twenty-Fifth Hawaii International Conference on System Sciences. Kauai, HI, USA.
Nam, K., & Schaefer, T. (1995). Forecasting international airline passenger traffic using neural networks. Logistics and Transportation Review, 31(3), 239–251.
Nguyen, D., & Widrow, B. (1990). Improving the learning speed of 2-layer neural networks by choosing initial values of the adaptive weights. San Diego, USA: Proceedings of the Internationl Joint Conference on Neural Networks.
Rumelhart, D. E., Hinton, G. E., & Williams, R. J. (1986). Learning representations by back-propagating errors. Nature, 323(6088), 533–536.
Small, K., & Roth, D. (2010). Margin-based active learning for structured predictions. International Journal of Machine Learning and Cybernetics, 1(1–4), 3–25.
Srinivasan, D., Liew, A. C., & Chang, C. S. (1994). A neural-network short-term load forecaster. Electric Power Systems Research, 28(3), 227–234.
Tang, Z. Y., Dealmeida, C., & Fishwick, P. A. (1991). Time-series forecasting using neural networks versus box-jenkins methodology. Simulation, 57(5), 303–310.
Tong, D. L., & Robert, M. (2010). Genetic algorithm—Neural network (GANN): A study of neural network activation functions and depth of genetic algorithm search applied to feature selection. International Journal of Machine Learning and Cybernetics, 1(1–4), 75–87.
Torres, J., Munoz, M., Marro, J., & Garrido, P. (2004). Influence of topology on the performance of a neural network. Neurocomputing, 58–60, 229–234.
Watts, D. J., & Strogatz, S. H. (1998). Collective dynamics of ‘small-world’ networks. Nature, 393(6684), 440–442.
Wei, H., Lai, K. K., Nakamori, Y., & Wang, S. Y. (2004). Forecasting foreign exchange rates with artificial neural networks: A review. International Journal of Information Technology & Decision Making, 3(1), 145–165.
Weigend, A. S., & Huberman, B. A. (1990). Predicting the future: A connectionist approach. International Journal of Neural Systems, 1, 193–209.
Xie, J. X., Cheng, C. T., Chau, K. W., & Pei, Y. Z. (2006). A hybrid adaptive time-delay neural network model for multi-step-ahead prediction of sunspot activity. International Journal of Environment and Pollution, 28(3–4), 364–381.
Yu, S. W. (1999). Forecasting and arbitrage of the Nikkei stock index futures: An application of backpropagation networks. Financial Engineering and the Japanese Markets, 6, 341–354.
Zhang, G. P. (2007). A neural network ensemble method with jittered training data for time series forecasting. Information Sciences, 177(23), 5329–5346.
Zhang, G. Q., Patuwo, B. E., & Hu, M. Y. (1998). Forecasting with artificial neural networks: The state of the art. International Journal of Forecasting, 14(1), 35–62.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Guo, Z. (2016). A Neural Network-Based Forecasting Model for Univariate Sales Forecasting. In: Intelligent Decision-making Models for Production and Retail Operations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52681-1_10
Download citation
DOI: https://doi.org/10.1007/978-3-662-52681-1_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-52679-8
Online ISBN: 978-3-662-52681-1
eBook Packages: EngineeringEngineering (R0)