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Application of the Two-Layer Regularized Gated Recurrent Unit (TLR-GRU) Model Enhanced by Sliding Window Features in
Xianhe Wang1,2, Meiqi Liu3, Ying Li1,2
1School of Computer Science, Zhuhai College of Science and Technology, Zhuhai 519041, China.
Entropy (Basel, Switzerland)
|February 27, 2026
Summary
This study introduces a new framework for real-time water quality prediction, enhancing accuracy for dissolved oxygen and total phosphorus. The method effectively reduces noise and complexity in hydrological time series data.
Area of Science:
- Environmental Science
- Data Science
- Water Resource Management
Background:
- Traditional water quality monitoring faces limitations in real-time assessment due to temporal-spatial coverage and cost.
- Deep learning models struggle with the inherent complexity and noise in raw hydrological time series.
Purpose of the Study:
- To develop a robust framework for high-precision, real-time prediction of key water quality parameters.
- To address challenges posed by complexity and noise in hydrological time series data for improved water quality assessment.
Main Methods:
- Integration of sliding window feature enhancement, Principal Component Analysis (PCA) for dimensionality reduction, and a Two-Layer Regularized Gated Recurrent Unit (TLR-GRU) model.
- Utilized Sample Entropy (SampEn) to quantify time series regularity and assess the impact of noise reduction techniques.
- Collected and analyzed 4970 water quality records from a typical aquaculture-irrigated water body between 2020-2023.
Main Results:
- The proposed TLR-GRU framework significantly improved prediction accuracy for dissolved oxygen (DO) and total phosphorus (TP).
- Sliding window enhancement reduced time series complexity (SampEn) and noise, leading to better model performance.
- The enhanced dataset resulted in improved R2 values (e.g., DO from 0.82 to 0.93) and reduced RMSE (e.g., TP by 55.6%) compared to baseline models.
Conclusions:
- The developed framework offers a high-precision solution for real-time water quality prediction, outperforming existing state-of-the-art deep learning models.
- The approach is effective in managing complex and noisy hydrological data, supporting sustainable water resource management in aquaculture and beyond.
- Future research will focus on model optimization and integration of multi-source data for enhanced water quality monitoring.