Abstract
In this study, the main objective is to carry out the robustness analysis of an artificial intelligence (AI) approach, namely nonlinear autoregressive neural networks (NAR) using Monte Carlo simulations for predicting the high fluctuation rainfall. Various algorithms of the NAR including Levenberg–Marquardt (LM), Bayesian regularization (BR) and scaled conjugate gradient (SCG) were developed. Statistical criteria, namely coefficient of determination (R2), root mean squared error (RMSE) and mean absolute error (MAE), were used to quantify the impact of fluctuations on the prediction output. Results showed that SCG algorithm was not sufficiently robust, while LM and BR methods exposed a strong capability in forecasting daily rainfall. In addition, prediction using BR was slightly better than LM, especially in terms of standard deviation of R2, RMSE and MAE distributions over 500 Monte Carlo realizations.
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References
Dash Y, Mishra SK, Sahany S, Panigrahi BK (2018) Indian summer monsoon rainfall prediction: a comparison of iterative and non-iterative approaches. Appl Soft Comput 70:1122–1134. https://doi.org/10.1016/j.asoc.2017.08.055
Hartmann H, Snow JA, Stein S, Su B, Zhai J, Jiang T, Krysanova V, Kundzewicz ZW (2016) Predictors of precipitation for improved water resources management in the Tarim River basin: creating a seasonal forecast model. J Arid Environ 125:31–42. https://doi.org/10.1016/j.jaridenv.2015.09.010
Haddad MS (2011) Capacity choice and water management in hydroelectricity systems. Energy Econ 33:168–177. https://doi.org/10.1016/j.eneco.2010.05.005
Toda K (2007) Urban flooding and measures. J Disaster Res 2:143–152. https://doi.org/10.20965/jdr.2007.p0143
Pham BT, Bui DT, Prakash I, Dholakia MB (2017) Hybrid integration of multilayer perceptron neural networks and machine learning ensembles for landslide susceptibility assessment at Himalayan area (India) using GIS. CATENA 149:52–63. https://doi.org/10.1016/j.catena.2016.09.007
Villarini G, Seo B-C, Serinaldi F, Krajewski WF (2014) Spatial and temporal modeling of radar rainfall uncertainties. Atmos Res 135–136:91–101. https://doi.org/10.1016/j.atmosres.2013.09.007
Sang XL, Su YZ, Xiao HJ, Wang H, Xu JX (2013) Prediction of rainfall in Da-Dong-Yong hydrologic station based on wavelet neural network. https://www.scientific.net/AMR.726-731.3279
Darji MP, Dabhi VK, Prajapati HB (2015) Rainfall forecasting using neural network: a survey. In: 2015 international conference on advances in computer engineering and applications, pp 706–713
Abbot J, Marohasy J (2017) Skilful rainfall forecasts from artificial neural networks with long duration series and single-month optimization. Atmos Res 197:289–299. https://doi.org/10.1016/j.atmosres.2017.07.015
Haviluddin M, Hardwinarto S., Sumaryono Aipassa M (2015) Rainfall monthly prediction based on artificial neural network: a case study in Tenggarong Station, East Kalimantan—Indonesia. Procedia Comput Sci 59:142–151. https://doi.org/10.1016/j.procs.2015.07.528
Chattopadhyay S (2006) Anticipation of summer monsoon rainfall over India by artificial neural network with conjugate gradient descent learning. arXiv:nlin/0611010
Chand RV (2006) Modelling and prediction of rainfall using artificial neural network and ARIMA techniques. J Ind Geophys Union 10(2):141–151
Dabhi VK, Chaudhary S Hybrid wavelet-postfix-GP model for rainfall prediction of Anand Region of India. https://www.hindawi.com/journals/aai/2014/717803/
Guhathakurta P (2008) Long lead monsoon rainfall prediction for meteorological sub-divisions of India using deterministic artificial neural network model. Meteorol Atmos Phys 101:93–108
Billings SA (2013) Nonlinear system identification: NARMAX methods in the time, frequency, and spatio-temporal domains. Wiley
Wu CL, Chau KW, Fan C (2010) Prediction of rainfall time series using modular artificial neural networks coupled with data-preprocessing techniques. J Hydrol 389:146–167
Potdar K, Kinnerkar R (2017) A non-linear autoregressive neural network model for forecasting Indian index of industrial production. In: 2017 IEEE region 10 symposium (TENSYMP), pp 1–5
Islam MP, Morimoto T (2017) Non-linear autoregressive neural network approach for inside air temperature prediction of a pillar cooler. Int J Green Energy 14:141–149. https://doi.org/10.1080/15435075.2016.1251925
Willmott CJ, Matsuura K (2005) Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance. Climate Res 30:79–82. https://doi.org/10.3354/cr030079
Hagan MT, Menhaj MB (1994) Training feedforward networks with the Marquardt algorithm. IEEE Trans Neural Netw 5:989–993. https://doi.org/10.1109/72.329697
Sharma A, Goyal MK (2017) A comparison of three soft computing techniques, Bayesian regression, support vector regression, and wavelet regression, for monthly rainfall forecast. J Intell Syst 26:641–655. https://doi.org/10.1515/jisys-2016-0065
Møller MF (1993) A scaled conjugate gradient algorithm for fast supervised learning. Neural Netw. 6:525–533. https://doi.org/10.1016/S0893-6080(05)80056-5
Mordechai S (2011) Applications of Monte Carlo method in science and engineering
Soize C (2005) Random matrix theory for modeling uncertainties in computational mechanics. Comput Methods Appl Mech Eng 194:1333–1366. https://doi.org/10.1016/j.cma.2004.06.038
Kayri M (2016) Predictive abilities of Bayesian regularization and Levenberg–Marquardt algorithms in artificial neural networks: a comparative empirical study on social data. Math Comput Appl 21:20. https://doi.org/10.3390/mca21020020
Okut H, Gianola D, Rosa GJM, Weigel KA (2011) Prediction of body mass index in mice using dense molecular markers and a regularized neural network. Genet Res (Camb) 93:189–201. https://doi.org/10.1017/S0016672310000662
Okut H, Wu X-L, Rosa GJ, Bauck S, Woodward BW, Schnabel RD, Taylor JF, Gianola D (2013) Predicting expected progeny difference for marbling score in Angus cattle using artificial neural networks and Bayesian regression models. Genet Sel Evol 45:34. https://doi.org/10.1186/1297-9686-45-34
Bruneau P, McElroy NR (2006) logD7.4 modeling using Bayesian regularized neural networks. Assessment and correction of the errors of prediction. J Chem Inf Model 46:1379–1387. https://doi.org/10.1021/ci0504014
Saini LM (2008) Peak load forecasting using Bayesian regularization, resilient and adaptive backpropagation learning based artificial neural networks. Electr Power Syst Res 78:1302–1310. https://doi.org/10.1016/j.epsr.2007.11.003
Lauret P, Fock E, Randrianarivony RN, Manicom-Ramsamy J-F (2008) Bayesian neural network approach to short time load forecasting. Energy Convers Manag 49:1156–1166. https://doi.org/10.1016/j.enconman.2007.09.009
Ticknor JL (2013) A Bayesian regularized artificial neural network for stock market forecasting. Expert Syst Appl 40:5501–5506. https://doi.org/10.1016/j.eswa.2013.04.013
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Le, TT., Pham, B.T., Le, V.M., Ly, HB., Le, L.M. (2020). A Robustness Analysis of Different Nonlinear Autoregressive Networks Using Monte Carlo Simulations for Predicting High Fluctuation Rainfall. In: Sharma, D.K., Balas, V.E., Son, L.H., Sharma, R., Cengiz, K. (eds) Micro-Electronics and Telecommunication Engineering. Lecture Notes in Networks and Systems, vol 106. Springer, Singapore. https://doi.org/10.1007/978-981-15-2329-8_21
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