Abstract
This paper not only addresses a feasible strategy in predicting time series or sequences by using deep neural nets such as bi-LSTM (bidirectional Long Short-Term Memory), but also demonstrates fairly good results of forecasting wastewater flow rate for a municipal wastewater treatment plant in a practical sense. The basic procedures of time series prediction by deep learning are to collect the past information of all available states for deep learning and to utilize p-step ahead delays of a no-training interval with a sliding time window. Therefore, the sequence-to-point p-step prediction of sewage flow of Yangju wastewater treatment plant could be made possible by using bi-LSTM in accordance with this fundamental principle.
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G. E. Hinton, S. Osindero, and Y. W. Teh, “A fast learning algorithm for deep belief nets,” Neural Computation, vol. 18, no. 7, pp. 1527–1554, 2006.
Y. Bengio, “Learning deep architecture for AI,” Foundations and Trends in Machine Learning, vol. 2, no. 1, pp. 1–127, 2009.
Y. LeCun, L. Bottou, Y. Bengio, and P. Haffner, “Gradientbased learning applied to document recognition,” Proc. of The IEEE, pp. 1–46, Nov. 1998.
Y. LeCun, K. Kavukcuoglu, and C. Farabet, “Convolutional networks and applications in vision,” Proc. of 2010 IEEE Int. Symposium on Circuits and Systems, (ISCAS) IEEE, pp. 253–256, 2010.
S. Hochreiter and J. Schmidhuber, “Long short-term memory,” Neural Computation, vol. 9, no. 8, pp. 1735–1780, 1997.
A. Graves, S. Fernandez, and J. Schmidhuber, “Bidirectional LSTM networks for improved phoneme classification and recognition,” Artificial Neural Networks: Formal Models and Their Applications-ICANN 2005, Springer Berlin Heidelberg, pp. 799–804, 2005.
Water Environment Federation, “Sanitary sewer systems: rainfall derived infiltration and inflow (RDII) modeling,” https://www.wef.org/globalassets/assets-wef/directdownload-library/public/03—resources/wsec-2017-fs-001-rdii-modeling-fact-sheet—final.pdf, 2017.
E. Karuppasamy and T. Inoue, “Application of USEPA SSOAP software to sewer system modeling,” Proceedings of the ASCE’s World Environmental and Water Resources Congress, Crossing Boundaries, Albuquerque, NM, USA, 20–24, pp. 3494–3504, May 2012.
Z. Zhang, “Estimating rain derived inflow and infiltration for rainfalls of varying characteristics,” Journal of Hydraulic Engineering, vol. 133, pp. 98–105, 2007.
C. L. Wu and K. W. Chau, “Rainfall-runoff modeling using artificial neural network coupled with singular spectrum analysis,” Journal of Hydrology, vol. 399, pp. 394–409, 2011.
M. Valipour, M. E. Banihabib, S. Mahmood, and R. Behbahani, “Comparison of the ARMA, ARIMA, and the autoregressive artificial neural network models in forecasting the monthly inflow of Dez dam reservoir,” Journal of Hydrology, vol. 476, pp. 433–441, 2013.
M. Valipour, “Long term runoff study using SARIMA and ARIMA models in the United States,” Meteorological Applications, vol. 22, no. 3, pp. 592–598, 2015.
C. W. Dawson and R. L. Wilby, “Hydrological modelling using artificial neural networks,” Progress in physical Geography, vol. 25, no. 1, pp. 80–108, 2001.
A. S. Tokar and P. A. Johnson, “Rainfall-runoff modeling using artificial neural networks,” Journal of Hydrologic Engineering, vol. 4, no. 3, pp. 232–239, 1999.
D. L. Shrestha, and D. P. Solomatine, “Machine learning approaches for estimation of prediction interval for the model output,” Neural Networks, vol. 19, no. 2, pp. 225–235, 2006.
X. Y. Chen, K. W. Chau, and A. O. Busari, “A comparative study of population-based optimization algorithms for downstream river flow forecasting by a hybrid neural network model,” Engineering Applications of Artificial Intelligence, vol. 46, pp. 258–268, 2015.
C. Hu, Q. Wu, H. Li, S. Jian, and Z. Lou, “Deep learning with a long short-term memory networks approach for rainfall-runoff simulation,” Water, vol. 10, pp. 1543–1558, 2018.
F. Kratzert, D. Klotz, C. Brenner, K. Schulz, and M. Herrnegger, “Rainfall-runoff modelling using long short-term memory (LSTM) networks,” Hydrology and Earth System Sciences, vol. 22, no. 11, pp. 6005–6022, 2018.
K. A. Althelaya, E. M. El-Alfy, and S. Mohammed, “Evaluation of bidirectional LSTM for short- and longterm stock market prediction,” Proc. of 9th International Conference on Information and Communication Systems (ICICS), pp. 151–156, Apr. 2018.
A. Graves and J. Schmidhuber, “Framewise phoneme classification with bidirectional LSTM and other neural network architectures,” Neural Networks, vol. 18, no. 5, pp. 602–610, 2005.
D. Mikalson, Y. Guo, and B. Adams, “Rainfall derived inflow and infiltration modelling approaches,” Journal of Water Management Modeling, R245-08, pp. 127–140, Jan. 2012.
L. Shen, G. Satta, and A. Joshi, “Guided learning for bidirectional sequence classification,” Proceedings of ACL-2007, vol. 7, pp. 760–767, 2007.
M. Schuster and K. K. Paliwal, “Bidirectional recurrent neural networks,” IEEE Transactions on Signal Processing, vol. 45, no. 11, pp. 2673–2681, 1997.
I.-C. Moon, K. Song, and S.-H. Kim, “State prediction of high-speed ballistic vehicles with gaussian process,” Int. Journal of Control Automation and Systems, vol. 16, no. 3, pp. 1282–1292, Jun. 2018.
X. Hu, H. Zou, and L. Wang, “Design of the linear quadratic structure based predictive functional control for industrial processes against partial actuator failures using GA optimization,” Int. Journal of Control Automation and Systems, vol. 17, no. 3, pp.597–605, Mar. 2019.
J.-N. Zhang, Q.-X. Su, and P.-Y. Liu, “MuDeepNet: Unsupervised learning of dense depth, optical flow and camera pose using multi-view consistency loss,” Int. Journal of Control Automation and Systems, vol. 17, no. 10, pp. 2586–2596, Oct. 2019.
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Recommended by Associate Editor DaeEun Kim under the direction of Editor Euntai Kim. This research was supported by Korea Environment Industry & Technology Institute (KEITI) through Public Technology Program based on Environmental Policy (Project No.: 2018000700005), funded by Korea Ministry of Environment (MOE), and by the Chung-Ang University Graduate Research Scholarship in 2020.
Hoon Kang received his B.S. and M.S. degrees in electronic engineering from the Seoul National University, Korea, in 1982 and 1984, respectively. He earned a Ph.D. degree in the School of Electrical Engineering at the Georgia Institute of Technology, Atlanta, in 1989. From 1989 to 1991, he was first a postdoctoral fellow and then a research associate in the Georgia Tech Electrical Engineering Department. Since 1992, he joined the School of Electrical and Electronics Engineering at Chung-Ang University, Seoul, Korea. He has served as the financial secretary for the institutes such as KIIS, ICROS, and IEIE. With IEIE, he was an editorial board member and a general affairs director. His research interests include computational intelligence such as deep learning, machine learning, fuzzy logic systems, and robot vision.
Seunghyeok Yang received his B.S. degree from the School of Electrical and Electronics Engineering, Chung-Ang University, Seoul, Korea, in 2020. He is currently studying for an M.S. degree in the Department of Electrical and Electronics Engineering, Chung-Ang University. His areas of interest includes GAN based on deep learning and computer vision.
Jianying Huang received his Bachelor’s degree in the School of Electrical and Electronic Engineering, Chung-Ang University in Seoul, Korea in 2019. He is currently studying for an M.S. degree in the Department of Electrical and Electronic Engineering at Chung-Ang University in Seoul, South Korea. His current research areas are deep learning applications using Bi-LSTM to predict time series.
Jeill Oh is currently a professor in the Department of Civil and Environmental Engineering at Chung-Ang University. He received a B.S. degree from the Yonsei University, Korea in 1992, and his M.S. and Ph.D. degrees in Civil and Environmental Engineering from the University of Colorado at Boulder, USA, in 1995 and 1998, respectively. He worked as a post-doctoral research fellow in the School of Environmental Engineering in Pohang University of Science and Technology (POSTECH) prior to joining Chung-Ang in 2000. He has been serving as a member of the Executive Committee of Korean Society of Water & Wastewater (KSWW), and Korean Society of Water Environment (KSWE) for fifteen years. He is interested in diverse aspects of ICT(nformation and Communication Technology) coupled with environmental system such as real-time monitoring (RTM), real-time control (RTC), optimization and deep leaning technology in urban water system.
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Kang, H., Yang, S., Huang, J. et al. Time Series Prediction of Wastewater Flow Rate by Bidirectional LSTM Deep Learning. Int. J. Control Autom. Syst. 18, 3023–3030 (2020). https://doi.org/10.1007/s12555-019-0984-6
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DOI: https://doi.org/10.1007/s12555-019-0984-6