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22 pages, 3221 KB  
Article
A Hybrid PSO-GWO-BP Predictive Model for Demand-Driven Scheduling and Energy-Efficient Operation of Building Secondary Water Supply Systems
by Shu-Guang Zhu, Jing-Wen Yu, Xing-Zhao Wang, Bang-Wu Deng, Shuai Jiang, Qi-Lin Wu and Wei Wei
Buildings 2026, 16(9), 1785; https://doi.org/10.3390/buildings16091785 - 30 Apr 2026
Abstract
Accurate forecasting of water demand enables optimized peak-load management, alleviating pressure during high-demand periods and improving the operational efficiency of urban secondary water supply systems—a critical component in the energy-efficient and sustainable operation of buildings. However, existing water demand prediction methods in some [...] Read more.
Accurate forecasting of water demand enables optimized peak-load management, alleviating pressure during high-demand periods and improving the operational efficiency of urban secondary water supply systems—a critical component in the energy-efficient and sustainable operation of buildings. However, existing water demand prediction methods in some regions suffer from low accuracy and excessively long prediction cycles, posing challenges for real-time water scheduling in building-scale systems. To address these challenges, this study develops a hybrid predictive framework that integrates a BP neural network with the Gray Wolf Optimizer (GWO) and Particle Swarm Optimization (PSO) algorithms for enhanced parameter optimization. Using hourly water consumption data from a representative residential district, the proposed model is compared against standalone machine learning models—Extreme Learning Machines (ELM), Support Vector Machines (SVM), Long Short-Term Memory (LSTM), and Gated Recurrent Unit (GRU). Model performance is rigorously evaluated using the coefficient of determination, mean absolute error (MAE), mean squared error (MSE), mean absolute percentage error (MAPE), root mean square error (RMSE), and Nash–Sutcliffe efficiency coefficient (NSE). The PSO-GWO-BP hybrid model achieves a predictive accuracy of 97.06%, yielding the lowest MAE, MSE, RMSE, and MAPE, as well as the highest R among all models considered, thereby significantly outperforming the benchmark standalone models. Furthermore, the high-precision short-term prediction outputs enable dynamic regulation of secondary water tank refill thresholds, facilitating refined water allocation and enhanced operational management of building water supply systems. These findings demonstrate the considerable application potential of the proposed hybrid model in enhancing both water resource efficiency and energy utilization performance in the daily operation of green buildings, providing reliable technical support for intelligent and low-carbon building water supply management. Full article
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30 pages, 2640 KB  
Article
Environment-Aware Optimal Placement and Dynamic Reconfiguration of Underwater Robotic Sonar Networks Using Deep Reinforcement Learning
by Qiming Sang, Yu Tian, Jin Zhang, Yuyang Xiao, Zhiduo Tan, Jiancheng Yu and Fumin Zhang
J. Mar. Sci. Eng. 2026, 14(8), 733; https://doi.org/10.3390/jmse14080733 - 15 Apr 2026
Viewed by 234
Abstract
Underwater dynamic target detection, classification, localization, and tracking (DCLT) is central to maritime surveillance and monitoring and increasingly relies on distributed AUV-based robotic sonar networks operating in passive listening and, when required, cooperative multistatic modes. Achieving a robust performance in realistic oceans remains [...] Read more.
Underwater dynamic target detection, classification, localization, and tracking (DCLT) is central to maritime surveillance and monitoring and increasingly relies on distributed AUV-based robotic sonar networks operating in passive listening and, when required, cooperative multistatic modes. Achieving a robust performance in realistic oceans remains challenging, because sensor placement must adapt to time-varying acoustic conditions and target priors while preserving acoustic communication connectivity, and because frequent reconfiguration under dynamic currents makes classical large-scale planning computationally expensive. This paper presents an integrated deep reinforcement learning (DRL)-based framework for passive-stage sonar placement and dynamic reconfiguration in distributed AUV networks. First, we cast placement as a constructive finite-horizon Markov decision process (MDP) and train a Proximal Policy Optimization (PPO) agent to sequentially build a collision-free layout on a discretized surveillance grid. The terminal reward is formulated to jointly optimize the environment-aware detection performance, computed from BELLHOP-based transmission loss models, and global network connectivity, quantified using algebraic connectivity. Second, to enable time-critical reconfiguration, we estimate flow-aware motion costs for all AUV–destination pairs using a PPO with a Long Short-Term Memory (LSTM) trajectory policy trained for partial observability. The learned policy can be deployed onboard, allowing each AUV to refine its path online using locally sensed currents, improving robustness to ocean-model uncertainty. The resulting cost matrix is solved via an efficient zero-element assignment method to obtain the optimal one-to-one reassignment. In the reported simulation studies, the proposed Sequential PPO placement method achieves a final reward 16–21% higher than Particle Swarm Optimization (PSO) and 2–3.7% higher than the Genetic Algorithm (GA), while the proposed PPO + LSTM planner reduces average travel time by 30.44% compared with A*. The proposed closed-loop architecture supports frequent re-optimization, scalable fleet operation, and a seamless transition to communication-supported cooperative multistatic tracking after detection, enabling efficient, adaptive DCLT in dynamic marine environments. Full article
(This article belongs to the Section Ocean Engineering)
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19 pages, 15598 KB  
Article
Heuristic Algorithm Optimization of CNN–BiLSTM–Attention for Reference Crop Evapotranspiration Forecasting Under Limited Meteorological Data Availability
by Yongping Gao, Tonglin Fu, Mingzhu He, Fengzhen Yang and Xiaojun Li
Atmosphere 2026, 17(4), 382; https://doi.org/10.3390/atmos17040382 - 9 Apr 2026
Viewed by 299
Abstract
Accurate prediction of reference evapotranspiration (ET0) using integrated deep learning approaches with limited meteorological data is highly significant for efficient water resource utilization and management in arid regions. Nevertheless, parameter optimization is frequently overlooked in current research, leading to unsatisfactory estimation [...] Read more.
Accurate prediction of reference evapotranspiration (ET0) using integrated deep learning approaches with limited meteorological data is highly significant for efficient water resource utilization and management in arid regions. Nevertheless, parameter optimization is frequently overlooked in current research, leading to unsatisfactory estimation accuracy that cannot meet practical application requirements. To overcome this limitation, a CNN–BiLSTM–attention hybrid model is constructed by combining the powerful feature-extraction capability of CNN and excellent sequence-processing performance of BiLSTM, followed by the integration of an attention mechanism. Five metaheuristic algorithms, namely the osprey optimization algorithm (OOA), grey wolf optimization (GWO), whale optimization algorithm (WOA), particle swarm optimization (PSO), and northern goshawk optimization (NGO), are adopted to optimize the key parameters of the proposed model. The developed hybrid models are then applied to ET0 estimation in Linze County, China. The results demonstrate that the error indices of these models vary within the ranges of MAPE [14.28%, 14.48%], MAE [0.4270, 0.4482], RMSE [0.5596, 0.5844], and NMSE [0.0490, 0.0577]. Overall, the OOA–CNN–BiLSTM–attention model exhibited the most robust and consistent estimation performance across multiple evaluation metrics among the investigated models. Full article
(This article belongs to the Section Biometeorology and Bioclimatology)
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19 pages, 935 KB  
Article
Collaborative Optimization Strategy of Virtual Power Plants Considering Flexible HVDC Transmission of New Energy Sources to Enhance the Wind–Solar Power Consumption
by Jiajun Ou, Hao Lu, Jingyi Li, Di Cai, Nan Yang and Shiao Wang
Processes 2026, 14(7), 1162; https://doi.org/10.3390/pr14071162 - 3 Apr 2026
Viewed by 371
Abstract
In the scenario where renewable energy sources (RESs) are connected to the power system (PS) through a flexible high-voltage direct current (HVDC) transmission system, their output becomes highly intermittent and volatile due to meteorological factors like wind direction and speed. This variability poses [...] Read more.
In the scenario where renewable energy sources (RESs) are connected to the power system (PS) through a flexible high-voltage direct current (HVDC) transmission system, their output becomes highly intermittent and volatile due to meteorological factors like wind direction and speed. This variability poses significant challenges to the real-time power balance and control of the PS. To address the uncertainties in system operation and the challenges of RES consumption, this paper proposes an artificial intelligence (AI) algorithm-driven collaborative optimization strategy for virtual power plants (VPPs) considering RESs transmitted by flexible HVDC. Firstly, a self-attention mechanism and multiple gated structures are integrated into a long short-term memory (LSTM) deep learning model. This enhancement improves the model’s ability to capture multi-timescale characteristics of RESs, increasing forecasting accuracy and robustness. Based on these forecasts, a total cost optimization model for VPP operation is developed, which includes high penalty costs for wind and solar curtailment. By embedding economic constraints that prioritize RESs usage, the model can reduce waste caused by traditional cost-driven scheduling. Additionally, to solve the high-dimensional nonlinear optimization problem in VPP scheduling, an improved population-based incremental learning (PBIL) algorithm is introduced. It incorporates an elite retention strategy and an adaptive mutation operator to boost global search efficiency and convergence speed. Simulations based on an VPP incorporating typical offshore wind and solar RESs transmitted via flexible HVDC demonstrate that the improved LSTM reduces MAPE by 7.14% for wind and 4.27% for PV compared to classical LSTM, and the proposed method achieves the lowest curtailment rates (wind 10.74%, PV 10.23%) and total cost (43,752 RMB), outperforming GA, PSO, and GW by 10–18% in cost reduction. Simulation results show that the proposed strategy enhances RESs consumption while maintaining system economy under flexible HVDC transmission. This work offers theoretical and practical insights for optimizing PS with high RES penetration and supports the low-carbon transition of new-type PS. Full article
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20 pages, 31301 KB  
Article
Wind Speed Prediction Based on PSO-Optimized BP Neural Network
by Xu Zhang, Shujie Jiang, Juan Jiang, Shu Dai and Jiayi Jin
J. Mar. Sci. Eng. 2026, 14(7), 661; https://doi.org/10.3390/jmse14070661 - 31 Mar 2026
Viewed by 340
Abstract
Accurate prediction of wind speed at sea is crucial for the site selection of wind farms, the layout of wind turbines, and the estimation of power generation. To improve the accuracy of short-term predictions under limited data conditions, this study proposes a backpropagation [...] Read more.
Accurate prediction of wind speed at sea is crucial for the site selection of wind farms, the layout of wind turbines, and the estimation of power generation. To improve the accuracy of short-term predictions under limited data conditions, this study proposes a backpropagation (BP) neural network prediction model optimized by the particle swarm optimization algorithm (PSO). This model is trained using hourly wind speed data from meteorological stations along the northeastern coast of China from 2020 to 2022, and two modeling strategies, namely the unified training model over multiple years and the seasonal model, are constructed for comparison. The validation using the measured data from January to July 2023 indicates that the unified model with a root mean square error of 1.235 and an average absolute error of 0.924 demonstrates superior generalization performance, outperforming the seasonal models (such as the spring model with RMSE = 1.243 and the summer model with RMSE = 1.324). Benchmark comparisons against LSTM, ARIMA, and persistence models further confirmed the superiority of the proposed approach. To address the stochastic nature of wind speed and support grid operation, we extended the deterministic forecasts to probabilistic prediction intervals using Monte Carlo Dropout, achieving a prediction interval coverage probability of 81.2% with a mean width of 1.38 m/s. The results indicate that while seasonal modeling offers insights into intra-annual wind variations, it does not exceed the accuracy of the globally trained multi-year model under limited data conditions. In conclusion, the proposed BP-PSO hybrid model provides a robust and low-cost solution for offshore wind speed forecasting, with the probabilistic forecasting framework offering actionable uncertainty information for grid integration. The multi-year training framework demonstrates stronger practical utility, and the findings support the application of hybrid optimization algorithms in real-world wind resource assessment. Full article
(This article belongs to the Section Marine Energy)
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30 pages, 644 KB  
Article
PAS: A Novel Attention-Enhanced Particle Swarm Optimization Model for Demand Forecasting in Cross-Border E-Commerce
by Hao Hu, Jinshun Cai and Chenke Xu
Appl. Sci. 2026, 16(7), 3386; https://doi.org/10.3390/app16073386 - 31 Mar 2026
Viewed by 208
Abstract
Demand forecasting is crucial for optimizing cross-border e-commerce operations, yet traditional methods often struggle to capture complex input–output relationships and nonlinear patterns. This paper proposes an enhanced model, Particle Swarm Optimization with Attention and Strategy (PAS), to address the low search accuracy and [...] Read more.
Demand forecasting is crucial for optimizing cross-border e-commerce operations, yet traditional methods often struggle to capture complex input–output relationships and nonlinear patterns. This paper proposes an enhanced model, Particle Swarm Optimization with Attention and Strategy (PAS), to address the low search accuracy and slow convergence of conventional PSO. An optimal-point set strategy is introduced to improve population initialization and global search efficiency, enabling more effective global and local exploration. Moreover, an improved Transformer model is adapted for demand forecasting by separately modeling input and output features and fusing them through the decoder, allowing the model to better capture complex relationships between e-commerce variables. A multi-stage search and learning mechanism is further designed, in which PSO first explores the global demand space, followed by localized learning using attention mechanisms. This staged process accelerates convergence and reduces the risk of falling into local optima. Furthermore, we also conducted comparative experiments on the proposed PSO algorithm with two classical optimization algorithms, including the genetic algorithm (GA) and simulated annealing (SA), to demonstrate the rationality of the proposed method. Evaluation on real-world datasets shows that the proposed model markedly surpasses conventional approaches, achieving an average MAPE of 8.7%, which is 23% lower than the Transformer model and 30% lower than the LSTM model. This has certain significance for the reliability and stability of demand forecasting in e-commerce. Full article
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14 pages, 268 KB  
Proceeding Paper
IoT and AI-Driven Approaches for Energy Optimization in Off-Grid Solar Systems
by Panagiotis Priamos Koumoulos, Leonidas Mazarakis, Stylianos Katsoulis, Fotios Zantalis and Grigorios Koulouras
Eng. Proc. 2026, 124(1), 67; https://doi.org/10.3390/engproc2026124067 - 10 Mar 2026
Viewed by 1090
Abstract
The growing reliance on renewable energy sources, particularly solar photovoltaics (PVs), requires intelligent management strategies to address challenges of intermittency, storage, and efficiency in autonomous microgrids. This review investigates IoT-based solutions for energy optimization, focusing on hardware platforms, communication protocols, and intelligent control [...] Read more.
The growing reliance on renewable energy sources, particularly solar photovoltaics (PVs), requires intelligent management strategies to address challenges of intermittency, storage, and efficiency in autonomous microgrids. This review investigates IoT-based solutions for energy optimization, focusing on hardware platforms, communication protocols, and intelligent control strategies that enhance the reliability and autonomy of PV-powered systems. This review follows a structured methodological protocol including predefined research questions, database selection, screening criteria, and systematic categorization of studies of IoT-enabled solar microgrid applications, relying on peer-reviewed journal articles, reputable conference proceedings, and scholarly works published between 2020 and 2025. The focus centers on microcontroller-based platforms (e.g., Arduino, ESP32, NodeMCU, TTGO LoRa32) and Single-Board Computers (SBCs) (e.g., Raspberry Pi), alongside the integration of optimization algorithms with Machine Learning (ML) and Neural Network (NN) approaches. Results highlight that lightweight microcontrollers offer cost-effective monitoring, ESP32 and NodeMCU balance real-time analytics with energy efficiency, Raspberry Pi supports edge-level AI processing, and LoRa enables scalable long-range communication for remote PV systems. Furthermore, optimization algorithms (PSO, WOA-SA) and neural models (ANN, LSTM, CNN–LSTM) are explored as methods to improve forecasting accuracy, fault detection, and demand-side management. Conclusions indicate that IoT-based architectures significantly improve energy efficiency, support predictive maintenance, and enable scalable deployment of autonomous solar microgrids. The study emphasizes the necessity of hybrid IoT architectures, combining edge and cloud intelligence, to balance computational complexity, power constraints, and cybersecurity requirements. These findings provide practical insights into designing robust, cost-effective, and scalable IoT-enabled PV microgrids that contribute to decentralized and sustainable energy transitions. Full article
(This article belongs to the Proceedings of The 6th International Electronic Conference on Applied Sciences)
23 pages, 4100 KB  
Article
A Comparative Study of Hybridized Machine Learning Models for Short-Term Load Prediction in Medium-Voltage Electricity Networks
by Augustine B. Makokha, Simiyu Sitati and Abraham Arusei
Electricity 2026, 7(1), 21; https://doi.org/10.3390/electricity7010021 - 2 Mar 2026
Viewed by 419
Abstract
Increasing variability in electricity load patterns, driven by end-use behaviour, grid-related technological changes, and socio-economic factors, calls for more accurate and efficient short-term load prediction (STLP) models. This study evaluates the predictive performance of four hybrid models for short-term Amp-load prediction: Adaptive Neuro-Fuzzy [...] Read more.
Increasing variability in electricity load patterns, driven by end-use behaviour, grid-related technological changes, and socio-economic factors, calls for more accurate and efficient short-term load prediction (STLP) models. This study evaluates the predictive performance of four hybrid models for short-term Amp-load prediction: Adaptive Neuro-Fuzzy Inference System (ANFIS) combined with Genetic Algorithms (GA) and Particle Swarm Optimisation (PSO), as well as convolutional neural networks (CNN) integrated with long short-term memory (LSTM) and extreme gradient boosting (XGB). The models were developed using hourly Amp-load data collected from a power utility substation in Kenya, together with corresponding meteorological data (temperature, wind speed, and humidity) covering a period from January 2023 to June 2024. Results show that the ANFIS-PSO and ANFIS-GA models outperform the CNN-based models, achieving MAPE values of 4.519 and 4.363, RMSE values of 0.3901 and 0.4024, and R2 scores of 0.8513 and 0.8481, respectively, due to the adaptive nature of ANFIS, which enables effective modelling of the irregular, nonlinear, and complex temporal behaviour of the Amp load. Enhanced prediction accuracy was observed across all models when variational mode decomposition (VMD) was applied to pre-process the input data. This result was corroborated through further analysis of the Amp-load signals using Taylor plots. Among all of the configurations tested, the CNN-LSTM-VMD model exhibited the highest overall prediction accuracy, with MAPE of 2.625, RMSE of 0.1898, and R2 of 0.9702, marginally outperforming the ANFIS-PSO-VMD model, thus making it more suitable for short-term load prediction applications. Full article
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24 pages, 18698 KB  
Article
Wind Speed Prediction Based on AM-BiLSTM Improved by PSO-VMD for Forest Fire Spread
by Haining Zhu, Shuwen Liu, Huimin Jia, Sanping Li, Liangkuan Zhu and Xingdong Li
Fire 2026, 9(3), 110; https://doi.org/10.3390/fire9030110 - 2 Mar 2026
Viewed by 664
Abstract
This study focuses on enhancing wind speed prediction for wildfire spread simulation by proposing an integrated forecasting approach. The original wind speed series is first processed via variational mode decomposition (VMD), with its parameters [K, α] optimized via particle swarm optimization (PSO). [...] Read more.
This study focuses on enhancing wind speed prediction for wildfire spread simulation by proposing an integrated forecasting approach. The original wind speed series is first processed via variational mode decomposition (VMD), with its parameters [K, α] optimized via particle swarm optimization (PSO). Every intrinsic mode function (IMF) resulting from this decomposition is predicted using a bidirectional long short-term memory model incorporating an attention mechanism (AM-BiLSTM), and the final wind series is reconstructed from these predictions. Model training and validation were conducted using data from controlled burning experiments in the Mao’er Mountain area of Heilongjiang Province, China. Predictive performance is evaluated through multiple statistical metrics, error distribution analysis, and Taylor diagrams. To assess practical utility, the predicted wind field is further applied in FARSITE to drive wildfire spread simulations. Results demonstrate that the PSO-VMD-AM-BiLSTM model provides reliable wind forecasts and contributes to improved fire spread prediction accuracy, indicating its potential for decision support in wildfire management. To achieve accurate forest fire spread prediction, we construct the MCNN model, which is based on early perception of understory wind fields using predicted wind speed data and adopts a multi-branch convolutional neural network architecture to extract fire spread features. FARSITE is employed to simulate forest fire spread in the Mao’er Mountain region, generating a dataset for model training and testing. After 50 training epochs, the loss value of the MCNN model converges, achieving optimal prediction performance when the combustion threshold is set to 0.7. Compared to models such as CNN, DCIGN, and DNN, MCNN shows improvements in evaluation metrics including precision, recall, Sørensen coefficient, and Kappa coefficient. To validate the model’s predictive performance in real fire scenarios, four field ignition experiments were conducted at the Liutiao Village test site: homogeneous fuel combustion, long fire line combustion, alternating fuel combustion, and multiple ignition source merging combustion. Comprehensive evaluation across the four experiments indicates that the model achieves precision, recall, Sørensen coefficient, and Kappa coefficient values of 0.940, 0.965, 0.953, and 0.940, respectively, with stable prediction errors below 6%. These results represent improvements over the comparative models DCIGN and DNN. The proposed MCNN model can adapt to forest fire spread prediction under different scenarios, offering a novel approach for accurate forest fire prediction and prevention. Full article
(This article belongs to the Special Issue Smart Firefighting Technologies and Advanced Materials)
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21 pages, 4018 KB  
Article
HPO-Optimized Bidirectional LSTM for Gas Concentration Prediction in Coal Mine Working Faces
by Xiaoliang Zheng, Shilong Liu and Lei Zhang
Eng 2026, 7(3), 112; https://doi.org/10.3390/eng7030112 - 1 Mar 2026
Viewed by 358
Abstract
An HPO (Hunter–Prey Optimizer)-optimized Bidirectional LSTM (HPO-BiLSTM) model is introduced to address the challenges in predicting gas concentration within coal mining working faces. This study aims to adaptively adjust the key hyperparameters (such as learning rate and number of hidden layer units) of [...] Read more.
An HPO (Hunter–Prey Optimizer)-optimized Bidirectional LSTM (HPO-BiLSTM) model is introduced to address the challenges in predicting gas concentration within coal mining working faces. This study aims to adaptively adjust the key hyperparameters (such as learning rate and number of hidden layer units) of the BiLSTM network through intelligent optimization algorithms. While the BiLSTM architecture inherently mitigates gradient vanishing and exploding problems through its gating mechanisms, the proposed HPO method focuses on addressing the inefficiency of manual parameter tuning and the risk of trapping in local optima that traditional methods encounter when dealing with nonlinear and non-stationary gas concentration time series. The experiment utilized the actual methane monitoring data from the 15117 working face of Jishazhuang Coal Mine in Jinzhong City, Shanxi Province (with a sampling interval of 2 min). The proposed HPO-BiLSTM model was compared with baseline models such as LSTM, BiLSTM, GA-BiLSTM, and PSO-BiLSTM in terms of performance. This study systematically compares the performance of LSTM, BiLSTM, and BiLSTM models optimized with GA, PSO, and HPO. Results demonstrate that all optimized models outperform the baselines, with HPO-BiLSTM achieving the best overall performance. It attained the lowest RMSE and highest R2 across the training, validation, and test sets, showcasing superior fitting and generalization capabilities. Furthermore, HPO-BiLSTM converged to the lowest loss value (0.00062) in only 15 iterations, demonstrating significantly greater efficiency and stability than both GA-BiLSTM (loss 0.00072, 25 iterations) and PSO-BiLSTM (loss 0.00071, 30 iterations). The experiments confirm that the HPO algorithm effectively configures BiLSTM hyperparameters, mitigates overfitting, and provides a more accurate and robust solution for gas concentration prediction in coal mines. Full article
(This article belongs to the Special Issue Artificial Intelligence for Engineering Applications, 2nd Edition)
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14 pages, 1913 KB  
Article
Time Series Prediction of the AQI in Wuhan City via a Hybrid Prophet–LSTM Model with an Improved PSO Algorithm
by Duochenxi Liu, Chibiao Liu, Xuchu Jiang and Hui Qi
Atmosphere 2026, 17(3), 251; https://doi.org/10.3390/atmos17030251 - 28 Feb 2026
Viewed by 453
Abstract
The air quality index (AQI) depends on the concentrations of six pollutants (PM2.5, PM10, SO2, NO2, O3, and CO). We propose a hybrid Prophet–LSTM forecasting framework with an improved particle swarm optimization (PSO) [...] Read more.
The air quality index (AQI) depends on the concentrations of six pollutants (PM2.5, PM10, SO2, NO2, O3, and CO). We propose a hybrid Prophet–LSTM forecasting framework with an improved particle swarm optimization (PSO) algorithm to tune the fusion weight. Prophet captures low–frequency trends and seasonality, while LSTM models residual dynamics; PSO selects weights on a validation subset to avoid test leakage. For the Wuhan PM2.5 test period (1 January 2021 to 3 May 2021), the PSO–enhanced hybrid achieves an MAE = 11.234 and an RMSE = 15.009, corresponding to 35.82%/35.10% reductions in the MAE/RMSE compared with Prophet and 37.69%/40.55% reductions compared with LSTM; it also improves over the unoptimized Prophet–LSTM by 6.70% (MAE) and 4.48% (RMSE). A Diebold–Mariano test indicates a statistically significant improvement over Prophet (p = 0.001), whereas the difference relative to LSTM is not significant at the 0.05 level (p = 0.248). Additional experiments on PM10, SO2, CO, NO2, and O3 show that the proposed framework achieves the lowest or near–lowest errors in most cases. Full article
(This article belongs to the Section Air Quality)
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28 pages, 2622 KB  
Article
Simulation of Reservoir Group Outflow Using LSTM with a Knowledge-Guided Loss Function Coordinated by the MDUPLEX Algorithm
by Qiaoping Liu, Changlu Qiao and Shuo Cao
Appl. Sci. 2026, 16(4), 2125; https://doi.org/10.3390/app16042125 - 22 Feb 2026
Viewed by 348
Abstract
Global climate change and spatiotemporal heterogeneity in water resources exacerbate supply-demand imbalances. Accurate outflow simulation for joint reservoir group operations thus becomes critical for scientific water resources management. Existing data-driven models like the Long Short-Term Memory (LSTM) lack the robust integration of physical [...] Read more.
Global climate change and spatiotemporal heterogeneity in water resources exacerbate supply-demand imbalances. Accurate outflow simulation for joint reservoir group operations thus becomes critical for scientific water resources management. Existing data-driven models like the Long Short-Term Memory (LSTM) lack the robust integration of physical constraints. Traditional mechanistic methods, by contrast, lack generality and stability under complex hydrological conditions. To address this limitation, we propose MDUPLEX-KG-LSTM—a physically constrained data-driven model for reservoir outflow simulation. The model incorporates multi-round DUPLEX (MDUPLEX) data partitioning, which ensures statistical homogeneity across training, validation, and test datasets. It also features a Knowledge-Guided (KG) loss function that embeds core physical constraints: water balance, dead water level, flood season restricted water level, and inter-reservoir re-regulation mechanisms. Additionally, it adopts an LSTM network optimized via Particle Swarm Optimization (PSO) for enhanced predictive performance. We validate the model using daily hydrological data from 2010 to 2025 for three reservoirs in the Wujiaqu Irrigation District of Xinjiang, China. The model exhibits exceptional stability and predictive accuracy across key evaluation metrics: Nash–Sutcliffe Efficiency (NSE) ≥ 0.82, Pearson correlation coefficient (r) > 0.94, Root Mean Square Error (RMSE) ≤ 1.50 m3/s, and Water Balance Index (WBI) ≤ 0.016. It outperforms conventional data-driven and mechanistic models in extreme flow simulation scenarios. It also eliminates unphysical negative outflow values in all predictive results. The model achieves 100% compliance with flood control standards and an irrigation guarantee rate of no less than 86%. This study advances the development of physically constrained data-driven modeling for water resources engineering. It provides reliable methodological support for the intelligent operation of reservoir groups in smart water conservancy systems. The model also balances training cost and inference efficiency effectively. It demonstrates verified scalability for reservoir groups of varying scales, fully meeting the operational deployment requirements of smart water systems. Full article
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26 pages, 4151 KB  
Article
Prediction Model for Maritime 5G Signal Strength Based on ConvLSTM-PSO-XGBoost Algorithm
by Jianjun Ding, Kun Yang, Li Qin and Bing Zheng
J. Mar. Sci. Eng. 2026, 14(4), 377; https://doi.org/10.3390/jmse14040377 - 16 Feb 2026
Viewed by 499
Abstract
The accurate prediction of signal strength plays an important role in estimating radio signal quality, thus forming the essential foundation for the planning, optimization, and reliable operation of modern wireless network systems. This paper proposes a new hybrid model for predicting maritime 5G [...] Read more.
The accurate prediction of signal strength plays an important role in estimating radio signal quality, thus forming the essential foundation for the planning, optimization, and reliable operation of modern wireless network systems. This paper proposes a new hybrid model for predicting maritime 5G signal strength, combing Convolutional Long Short-Term Memory (ConvLSTM) with Particle Swarm Optimization-extreme Gradient Boosting (PSO-XGBoost). The model was developed and validated using a dataset comprising 22 columns, 2994 rows, and 21 features, collected via a research vessel in Zhoushan Port, China. Four evaluation metrics, Root Mean Square Error (RMSE), Mean Absolute Error (MAE), Mean Absolute Percentage Error (MAPE), and the coefficient of determination (R2) were employed to assess model performance and interpretability. Comparative experiments against various popular models demonstrated the hybrid model’s superior performance in predicting maritime 5G signals. Its accuracy surpassed both standalone ConvLSTM and XGBoost models, while achieving lower MAE and RMSE values compared to various popular models. This study provides a method for predicting coverage conditions based on navigation and environmental data, without relying on radio key performance indicators. Furthermore, it supplies high-quality signal data to advance the modeling of marine communication channels. Full article
(This article belongs to the Special Issue Advances in Ocean Observing Technology and System)
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31 pages, 6189 KB  
Article
A Data-Driven Method Based on Feature Engineering and Physics-Constrained LSTM-EKF for Lithium-Ion Battery SOC Estimation
by Yujuan Sun, Shaoyuan You, Fangfang Hu and Jiuyu Du
Batteries 2026, 12(2), 64; https://doi.org/10.3390/batteries12020064 - 14 Feb 2026
Viewed by 784
Abstract
Accurate estimation of the State of Charge (SOC) for lithium-ion batteries is a core function of the Battery Management System (BMS). However, LiFePO4 batteries present specific challenges for SOC estimation due to the characteristic plateau in their open-circuit voltage (OCV) versus SOC [...] Read more.
Accurate estimation of the State of Charge (SOC) for lithium-ion batteries is a core function of the Battery Management System (BMS). However, LiFePO4 batteries present specific challenges for SOC estimation due to the characteristic plateau in their open-circuit voltage (OCV) versus SOC relationship. Moreover, data-driven estimation approaches often face significant difficulties stemming from measurement noise and interference, the highly nonlinear internal dynamics of the battery, and the time-varying nature of key battery parameters. To address these issues, this paper proposes a Long Short-Term Memory (LSTM) model integrated with feature engineering, physical constraints, and the Extended Kalman Filter (EKF). First, the model’s temporal perception of the historical charge–discharge states of the battery is enhanced through the fusion of temporal voltage information. Second, a post-processing strategy based on physical laws is designed, utilizing the Particle Swarm Optimization (PSO) algorithm to search for optimal correction factors. Finally, the SOC obtained from the previous steps serves as the observation input to EKF filtering, enabling a probabilistically weighted fusion of the data-driven model output and the EKF to improve the model’s dynamic tracking performance. When applied to SOC estimation of LiFePO4 batteries under various operating conditions and temperatures ranging from 0 °C to 50 °C, the proposed model achieves average Mean Absolute Error (MAE) and Root Mean Square Error (RMSE) as low as 0.46% and 0.56%, respectively. These results demonstrate the model’s excellent robustness, adaptability, and dynamic tracking capability. Additionally, the proposed approach only requires derived features from existing input data without the need for additional sensors, and the model exhibits low memory usage, showing considerable potential for practical BMS implementation. Furthermore, this study offers an effective technical pathway for state estimation under a “physical information–data-driven–filter fusion” framework, enabling accurate SOC estimation of lithium-ion batteries across multiple operating scenarios. Full article
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25 pages, 9597 KB  
Article
Dynamic Response-Based Safety Monitoring and Damage Identification of Concrete Arch Dams via PSO–LSTM
by Jianchun Qiu, Wenqin He, Changlin Long, Yang Zhang, Xinyang Liu, Pengcheng Xu, Linsong Sun, Changsheng Zhang, Lin Cheng and Weigang Lu
Sensors 2026, 26(4), 1136; https://doi.org/10.3390/s26041136 - 10 Feb 2026
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Abstract
The measured dynamic response of concrete arch dams under seismic excitation is a typical time series that contains rich information about structural conditions. Safety monitoring based on dynamic responses of arch dam structures is highly important for the timely detection of structural damage [...] Read more.
The measured dynamic response of concrete arch dams under seismic excitation is a typical time series that contains rich information about structural conditions. Safety monitoring based on dynamic responses of arch dam structures is highly important for the timely detection of structural damage and ensuring dam safety. In this study, a PSO-LSTM-based model for safety monitoring and damage identification of arch dam structures was proposed. The method was centered on the long short-term memory (LSTM) neural network, and key hyperparameters were adaptively tuned by the particle swarm optimization (PSO) algorithm to improve monitoring accuracy for nonlinear and nonstationary structural dynamic responses. Structural damage was identified through residual analysis combined with the 3σ anomaly detection criterion. Numerical simulations and shaking table model test cases of an arch dam were introduced for validation. The proposed method was compared with the standalone LSTM model and the SSA-LSTM model in terms of the root mean square error (RMSE), mean absolute error (MAE), coefficient of determination (R2), and damage identification accuracy. The results showed that the proposed PSO-LSTM method achieved greater accuracy in monitoring the safety of arch dam dynamic responses and effectively identified structural damage, thereby verifying its effectiveness. Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
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