Abstract
Dissolved oxygen content prediction plays an important role in the intelligence management of aquaculture systems. Compared with traditional point prediction, interval prediction can quantify the uncertainties effectively and more closes to the fact. Unfortunately, there is rarely study about it. In this paper, a novel interval prediction method based on a deep auto-regression recurrent neural network (DeepAR) is proposed to construct prediction intervals (PIs) directly. Besides, a variational mode decomposition (VMD) has been used to extract the frequency feature of the original data. Moreover, a multi-objective weighted optimization framework based on the sparrow swarm algorithm (SSA) was proposed to improve PIs accuracy. Finally, simulations with water quality datasets were conducted to show the effectiveness of the proposed model. The results demonstrated that the proposed model significantly improved PI quality and performance compared to the state-of-the-art method.
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The datasets used or analysed during the current study are available from the corresponding author on reasonable request.
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The code during the current study are available from the corresponding author on reasonable request.
References
Chatfield C (1993) Calculating interval forecasts. J Bus Econ Stat. https://doi.org/10.1080/07350015.1993.10509938
Chryssolouris G, Lee M, Ramsey A (1996) Confidence interval prediction for neural network models. IEEE Trans Neural Netw. https://doi.org/10.1109/72.478409
Dong M, Wu H, Hu H, Azzam R, Zhang L, Zheng Z, Gong X (2021) Deformation prediction of unstable slopes based on real-time monitoring and deepar model. Sensors (Switzerl). https://doi.org/10.3390/s21010014
Dragomiretskiy K, Zosso D (2014) Variational mode decomposition. IEEE Trans Signal Process. https://doi.org/10.1109/TSP.2013.2288675
Efron B, Tibshirani RJ (1993) An Introduction to the Bootstrap. An Introduction to the Bootstrap. https://doi.org/10.1007/978-1-4899-4541-9
Hu J, Wang J, Zhang X, Fu Z (2015) Research status and development trends of information technologies in aquacultures. Nongye Jixie Xuebao/Transactions Chinese Soc. Agric Mach 46:251–263. https://doi.org/10.6041/j.issn.1000-1298.2015.07.037
Huang F, Huang J, Jiang S, Zhou C (2017) Landslide displacement prediction based on multivariate chaotic model and extreme learning machine. Eng Geol. https://doi.org/10.1016/j.enggeo.2017.01.016
Li Z, Nie F, Chang X, Nie L, Zhang H, Yang Y (2018a) Rank-constrained spectral clustering with flexible embedding. IEEE Trans Neural Networks Learn Syst. https://doi.org/10.1109/TNNLS.2018.2817538
Li Z, Nie F, Chang X, Yang Y, Zhang C, Sebe N (2018b) Dynamic affinity graph construction for spectral clustering using multiple features. IEEE Trans Neural Netw Learn Syst. https://doi.org/10.1109/TNNLS.2018.2829867
Li Z, Yao L, Chang X, Zhan K, Sun J, Zhang H (2019) Zero-shot event detection via event-adaptive concept relevance mining. Pattern Recognit. https://doi.org/10.1016/j.patcog.2018.12.010
Li W, Wu H, Zhu N, Jiang Y, Tan J, Guo Y (2021) Prediction of dissolved oxygen in a fishery pond based on gated recurrent unit (GRU). Inf Process Agric. https://doi.org/10.1016/j.inpa.2020.02.002
Lian C, Zeng Z, Wang X, Yao W, Su Y, Tang H (2020) Landslide displacement interval prediction using lower upper bound estimation method with pre-trained random vector functional link network initialization. Neural Netw. https://doi.org/10.1016/j.neunet.2020.07.020
Lu J, Ding J, Dai X, Chai T (2020) Ensemble stochastic configuration networks for estimating prediction intervals: a simultaneous robust training algorithm and its application. IEEE Trans Neural Netw Learn Syst. https://doi.org/10.1109/TNNLS.2020.2967816
Ma J, Niu X, Tang H, Wang Y, Wen T, Zhang J (2020) Displacement prediction of a complex landslide in the three gorges reservoir area (China) using a hybrid computational intelligence approach. Complexity. https://doi.org/10.1155/2020/2624547
MacKay DJC (1992) A practical bayesian framework for backpropagation networks. Neural Comput. https://doi.org/10.1162/neco.1992.4.3.448
Momotaz B, Dohi T (2016) Prediction interval of cumulative number of software faults using multilayer perceptron. Stud Comput Intell. https://doi.org/10.1007/978-3-319-26396-0_4
Nourani V, Paknezhad NJ, Tanaka H (2021) Prediction interval estimation methods for artificial neural network (Ann)-based modeling of the hydro-climatic processes, a review. Sustain. https://doi.org/10.3390/su13041633
Park, Soyeong, Park, Sunme, Hwang, E., 2020. Normalized residue analysis for deep learning based probabilistic forecasting of photovoltaic generations. In: Proceedings—2020 IEEE International Conference on Big Data and Smart Computing. BigComp. https://doi.org/10.1109/BigComp48618.2020.00-20
Quan H, Srinivasan D, Khosravi A (2015) Incorporating wind power forecast uncertainties into stochastic unit commitment using neural network-based prediction intervals. IEEE Trans Neural Netw Learn Syst. https://doi.org/10.1109/TNNLS.2014.2376696
Rahman A, Dabrowski J, McCulloch J (2020) Dissolved oxygen prediction in prawn ponds from a group of one step predictors. Inf Process Agric 7:307–317. https://doi.org/10.1016/j.inpa.2019.08.002
Ren P, **ao Y, Chang X, Huang PY, Li Z, Chen X, Wang X (2021) A comprehensive survey of neural architecture search: Challenges and solutions. ACM Comput Surv. https://doi.org/10.1145/3447582
Salinas D, Flunkert V, Gasthaus J, Januschowski T (2020) DeepAR: probabilistic forecasting with autoregressive recurrent networks. Int J Forecast. https://doi.org/10.1016/j.ijforecast.2019.07.001
Voyant C, Notton G, Duchaud JL, Almorox J, Yaseen ZM (2020) Solar irradiation prediction intervals based on Box-Cox transformation and univariate representation of periodic autoregressive model. Energy Focus Renew. https://doi.org/10.1016/j.ref.2020.04.001
Wu J, Li Z, Zhu L, Li G, Niu B, Peng F (2018) Optimized BP neural network for dissolved oxygen prediction. IFAC-PapersOnLine 51:596–601. https://doi.org/10.1016/j.ifacol.2018.08.132
**ao R, Wei Y, An D, Li D, Ta X, Wu Y, Ren Q (2019) A review on the research status and development trend of equipment in water treatment processes of recirculating aquaculture systems. Rev Aquac. https://doi.org/10.1111/raq.12270
Xue J, Shen B (2020) A novel swarm intelligence optimization approach: sparrow search algorithm. Syst Sci Control Eng. https://doi.org/10.1080/21642583.2019.1708830
Yan C, Chang X, Luo M, Zheng Q, Zhang X, Li Z, Nie F (2021) Self-weighted robust LDA for multiclass classification with edge classes. ACM Trans Intell Syst Technol. https://doi.org/10.1145/3418284
Zhang YF, Fitch P, Thorburn PJ (2020) Predicting the trend of dissolved oxygen based on the kPCA-RNN model. Water (switzerl). https://doi.org/10.3390/w12020585
Funding
Finally, this work was supported in part by the National Natural Science Foundation of China under Grant 61871475, 61471-131, 61571444, in part by the special project of laboratory construction of Guangzhou Innovation Platform Construction Plan under Grant 201905010006, the Guangzhou Innovation Platform Construction Plan under Grant 2017B0101260016, the Foundation for High-level Talents in Higher Education of Guangdong Province under Grant 2017GCZX00014, 2016KZDXM0013, 2017KTSCX094, 2018LM2168, and the Bei**g Natural Science Foundation under Grant 4182023.
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Huang, J., Huang, Y., Hassan, S.G. et al. Dissolved oxygen content interval prediction based on auto regression recurrent neural network. J Ambient Intell Human Comput 14, 7255–7264 (2023). https://doi.org/10.1007/s12652-021-03579-x
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DOI: https://doi.org/10.1007/s12652-021-03579-x