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Search Results (1,169)

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Keywords = non-linear dynamic feature

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29 pages, 2044 KB  
Article
A Dual-Branch Transformer Framework for Trace-Level Anomaly Detection via Phase-Space Embedding and Causal Message Propagation
by Siyuan Liu, Yiting Chen, Sen Li, Jining Chen and Qian He
Big Data Cogn. Comput. 2026, 10(1), 10; https://doi.org/10.3390/bdcc10010010 (registering DOI) - 28 Dec 2025
Abstract
In cloud-based distributed systems, trace anomaly detection plays a vital role in maintaining system reliability by identifying early signs of performance degradation or faults. However, existing methods often fail to capture the complex temporal and structural dependencies inherent in trace data. To address [...] Read more.
In cloud-based distributed systems, trace anomaly detection plays a vital role in maintaining system reliability by identifying early signs of performance degradation or faults. However, existing methods often fail to capture the complex temporal and structural dependencies inherent in trace data. To address this, we propose a novel dual-branch Transformer-based framework that integrates both temporal modeling and causal reasoning. The first branch encodes the original trace data to capture direct service-level dynamics, while the second employs phase-space reconstruction to reveal nonlinear temporal interactions by embedding time-delayed representations. To better capture how anomalies propagate across services, we introduce a causal propagation module that leverages directed service call graphs to enforce the time order and directionality during feature aggregation, ensuring anomaly signals propagate along realistic causal paths. Additionally, we propose a hybrid loss function combining the reconstruction error with symmetric Kullback–Leibler divergence between attention maps from the two branches, enabling the model to distinguish normal and anomalous patterns more effectively. Extensive experiments conducted on multiple real-world trace datasets demonstrate that our method consistently outperforms state-of-the-art baselines in terms of precision, recall, and F1 score. The proposed framework proves robust across diverse scenarios, offering improved detection accuracy, and robustness to noisy or complex service dependencies. Full article
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22 pages, 13696 KB  
Article
Fractional Solutions and Quasi-Periodic Dynamics of the M-Fractional Weakly Nonlinear Dispersive Water Waves Model: A Bifurcation Perspective
by Mamdouh Elbrolosy and Kawther Alarfaj
Mathematics 2026, 14(1), 79; https://doi.org/10.3390/math14010079 - 25 Dec 2025
Viewed by 43
Abstract
In this paper, we study the time-space truncated M-fractional model of shallow water waves in a weakly nonlinear dispersive media that characterizes the nano-solitons of ionic wave propagation along microtubules in living cells. A fractional wave transformation is applied, reducing the model [...] Read more.
In this paper, we study the time-space truncated M-fractional model of shallow water waves in a weakly nonlinear dispersive media that characterizes the nano-solitons of ionic wave propagation along microtubules in living cells. A fractional wave transformation is applied, reducing the model to a third-order differential equation formulated as a conservative Hamiltonian system. The stability of the equilibrium points is analyzed, and the corresponding phase portraits are constructed, providing valuable insights into the expected types of solutions. Utilizing the dynamical systems approach, a variety of predicted exact fractional solutions are successfully derived, including solitary, periodic and unbounded singular solutions. One of the most notable features of this approach is its ability to identify the real propagation regions of the desired waves from both physical and mathematical perspectives. The impacts of the fractional order and gravitational force variations on the solution profiles are systematically analyzed and graphically illustrated. Moreover, the quasi-periodic dynamics and chaotic behavior of the model are explored. Full article
33 pages, 4543 KB  
Review
A One-Dimensional Model Used for the Analysis of Seismic Site Response and Soil Instabilities: A Review of SCOSSA 1.0 Computer Code
by Giuseppe Tropeano and Anna Chiaradonna
Geotechnics 2026, 6(1), 2; https://doi.org/10.3390/geotechnics6010002 - 25 Dec 2025
Viewed by 59
Abstract
This review aims to provide a complete and comprehensive state of the art of the SCOSSA computer code, which is a one-dimensional nonlinear computer code used for the analysis of seismic site response and soil instability. Indeed, among the effects of earthquakes, the [...] Read more.
This review aims to provide a complete and comprehensive state of the art of the SCOSSA computer code, which is a one-dimensional nonlinear computer code used for the analysis of seismic site response and soil instability. Indeed, among the effects of earthquakes, the activation of landslides and liquefaction constitute two of the predominant causes of vulnerability in the physical and built environment. The SCOSSA computer code (Seismic Code for Stick–Slip Analysis) was initially developed to evaluate the permanent displacements of simplified slopes using a coupled model, and introduced several improvements with respect to the past, namely, the formulation for solving the dynamic equilibrium equations incorporates the capability for automated detection of the critical sliding surface; an up-to-date constitutive model to represent hysteretic material behavior and a stable iterative algorithm to support the solution of the system in terms of kinematic variables. To address liquefaction-induced failure, a simplified pore water pressure generation model was subsequently developed and integrated into the code, coupled with one-dimensional consolidation theory. This review retraces the main features, developments, and applications of the computer code from the origin to the present version. Full article
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23 pages, 3212 KB  
Article
AKAZE-GMS-PROSAC: A New Progressive Framework for Matching Dynamic Characteristics of Flotation Foam
by Zhen Peng, Zhihong Jiang, Pengcheng Zhu, Gaipin Cai and Xiaoyan Luo
J. Imaging 2026, 12(1), 7; https://doi.org/10.3390/jimaging12010007 - 25 Dec 2025
Viewed by 93
Abstract
The dynamic characteristics of flotation foam, such as velocity and breakage rate, are critical factors that influence mineral separation efficiency. However, challenges inherent in foam images, including weak textures, severe deformations, and motion blur, present significant technical hurdles for dynamic monitoring. These issues [...] Read more.
The dynamic characteristics of flotation foam, such as velocity and breakage rate, are critical factors that influence mineral separation efficiency. However, challenges inherent in foam images, including weak textures, severe deformations, and motion blur, present significant technical hurdles for dynamic monitoring. These issues lead to a fundamental conflict between the efficiency and accuracy of traditional feature matching algorithms. This paper introduces a novel progressive framework for dynamic feature matching in flotation foam images, termed “stable extraction, efficient coarse screening, and precise matching.” This framework first employs the Accelerated-KAZE (AKAZE) algorithm to extract robust, scale- and rotation-invariant feature points from a non-linear scale-space, effectively addressing the challenge of weak textures. Subsequently, it innovatively incorporates the Grid-based Motion Statistics (GMS) algorithm to perform efficient coarse screening based on motion consistency, rapidly filtering out a large number of obvious mismatches. Finally, the Progressive Sample and Consensus (PROSAC) algorithm is used for precise matching, eliminating the remaining subtle mismatches through progressive sampling and geometric constraints. This framework enables the precise analysis of dynamic foam characteristics, including displacement, velocity, and breakage rate (enhanced by a robust “foam lifetime” mechanism). Comparative experimental results demonstrate that, compared to ORB-GMS-RANSAC (with a Mean Absolute Error, MAE of 1.20 pixels and a Mean Relative Error, MRE of 9.10%) and ORB-RANSAC (MAE: 3.53 pixels, MRE: 27.36%), the proposed framework achieves significantly lower error rates (MAE: 0.23 pixels, MRE: 2.13%). It exhibits exceptional stability and accuracy, particularly in complex scenarios involving low texture and minor displacements. This research provides a high-precision, high-robustness technical solution for the dynamic monitoring and intelligent control of the flotation process. Full article
(This article belongs to the Section Image and Video Processing)
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22 pages, 3875 KB  
Article
A Remote Sensing-Driven Dynamic Risk Assessment Model for Cyclical Glacial Lake Outbursts: A Case Study of Merzbacher Lake
by Tianshi Feng, Wenlong Song, Xingdong Li, Yizhu Lu, Kaizheng Xiang, Shaobo Linghu, Hongjie Liu and Long Chen
Remote Sens. 2026, 18(1), 47; https://doi.org/10.3390/rs18010047 - 24 Dec 2025
Viewed by 175
Abstract
The increasing threat of Glacial Lake Outburst Floods (GLOFs), intensified by climate change, underscores the urgency for developing advanced early warning systems. The near-annual, cyclical outbursts of Lake Merzbacher in the Tien Shan mountains present a severe downstream threat, yet its remote location [...] Read more.
The increasing threat of Glacial Lake Outburst Floods (GLOFs), intensified by climate change, underscores the urgency for developing advanced early warning systems. The near-annual, cyclical outbursts of Lake Merzbacher in the Tien Shan mountains present a severe downstream threat, yet its remote location and lack of instrumentation pose a significant challenge to traditional monitoring. To bridge this gap, we develop and validate a dynamic risk assessment framework driven entirely by remote sensing data. Methodologically, the framework introduces an innovative Ice-Water Composite Index (IWCI) to resolve the challenge of lake area extraction under mixed ice-water conditions. This is coupled with a high-fidelity 5 m resolution Digital Elevation Model (DEM) of the lake basin, autonomously generated from GF-7 Dual-Line Camera (DLC) imagery, which enables accurate daily volume retrieval. Through systematic feature engineering, nine key hydro-thermal drivers are quantified from MODIS and other products to train a Random Forest (RF) machine learning model, establishing the non-linear relationship between catchment processes and lake volume. The model demonstrates robust predictive performance on an independent validation set (2023–2024) (R2 = 0.80, RMSE = 5.15 × 106 m3), accurately captures the complete lake-filling cycle from initiation to near-peak stage. Furthermore, feature importance analysis quantitatively confirms that Positive Accumulated Temperature (PAT) is the dominant physical mechanism governing the lake’s storage dynamics. This end-to-end framework offers a transferable paradigm for GLOF hazard management, enabling a critical shift from static, regional assessments to dynamic, site-specific early warning in data-scarce alpine regions. Full article
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24 pages, 4080 KB  
Article
An Unsupervised Situation Awareness Framework for UAV Sensor Data Fusion Enabled by a Stabilized Deep Variational Autoencoder
by Anxin Guo, Zhenxing Zhang, Rennong Yang, Ying Zhang, Liping Hu and Leyan Li
Sensors 2026, 26(1), 111; https://doi.org/10.3390/s26010111 - 24 Dec 2025
Viewed by 121
Abstract
Effective situation awareness relies on the robust processing of high-dimensional data streams generated by onboard sensors. However, the application of deep generative models to extract features from complex UAV sensor data (e.g., GPS, IMU, and radar feeds) faces two fundamental challenges: critical training [...] Read more.
Effective situation awareness relies on the robust processing of high-dimensional data streams generated by onboard sensors. However, the application of deep generative models to extract features from complex UAV sensor data (e.g., GPS, IMU, and radar feeds) faces two fundamental challenges: critical training instability and the difficulty of representing multi-modal distributions inherent in dynamic flight maneuvers. To address this, this paper proposes a novel unsupervised sensor data processing framework to overcome these issues. Our core innovation is a deep generative model, VAE-WRBM-MDN, specifically engineered for stable feature extraction from non-linear time-series sensor data. We demonstrate that while standard Variational Autoencoders (VAEs) often struggle to converge on this task, our introduction of Weighted-uncertainty Restricted Boltzmann Machines (WRBM) for layer-wise pre-training ensures stable learning. Furthermore, the integration of a Mixture Density Network (MDN) enables the decoder to accurately reconstruct the complex, multi-modal conditional distributions of sensor readings. Comparative experiments validate our approach, achieving 95.69% classification accuracy in identifying situational patterns. The results confirm that our framework provides robust enabling technology for real-time intelligent sensing and raw data interpretation in autonomous systems. Full article
(This article belongs to the Section Intelligent Sensors)
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23 pages, 702 KB  
Article
From LSTM to GPT-2: Recurrent and Transformer-Based Deep Learning Architectures for Multivariate High-Liquidity Cryptocurrency Price Forecasting
by Erçin Dinçer and Zeynep Hilal Kilimci
Symmetry 2026, 18(1), 32; https://doi.org/10.3390/sym18010032 - 24 Dec 2025
Viewed by 203
Abstract
This study introduces a unified and methodologically symmetric comparative framework for multivariate cryptocurrency forecasting, addressing long-standing inconsistencies in prior research where model families, feature sets, and preprocessing pipelines differ across studies. Under an identical and rigorously controlled experimental setup, we benchmark six deep [...] Read more.
This study introduces a unified and methodologically symmetric comparative framework for multivariate cryptocurrency forecasting, addressing long-standing inconsistencies in prior research where model families, feature sets, and preprocessing pipelines differ across studies. Under an identical and rigorously controlled experimental setup, we benchmark six deep learning architectures—LSTM, GPT-2, Informer, Autoformer, Temporal Fusion Transformer (TFT), and a Vanilla Transformer—together with four widely used econometric models (ARIMA, VAR, GARCH, and a Random Walk baseline). All models are evaluated using a shared multivariate feature space composed of more than forty technical indicators, identical normalization procedures, harmonized sliding-window formations, and aligned temporal splits across five high-liquidity assets (BTC, ETH, XRP, XLM, and SOL). The experimental results show that transformer-based architectures consistently outperform both the recurrent baseline and classical econometric models across all assets. This superiority arises from the ability of attention mechanisms to capture long-range temporal dependencies and adaptively weight informative time steps, whereas recurrent models suffer from vanishing-gradient limitations and restricted effective memory. The best-performing deep learning models achieve MAPE values of 0.0289 (BTC, GPT-2), 0.0198 (ETH, Autoformer), 0.0418 (XRP, Informer), 0.0469 (XLM, Informer), and 0.0578 (SOL, TFT), substantially improving upon the performance of both LSTM and all econometric baselines. These findings highlight the effectiveness of attention-based architectures in modeling volatility-driven nonlinear dynamics and establish a reproducible, symmetry-preserving benchmark for future research in deep-learning-based financial forecasting. Full article
(This article belongs to the Section Computer)
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28 pages, 3159 KB  
Article
A Matrix-Statistics-Aware Attention Mechanism for Robust RUL Estimation in Aero-Engines
by Ayşenur Hatipoğlu and Ersen Yılmaz
Appl. Sci. 2026, 16(1), 169; https://doi.org/10.3390/app16010169 - 23 Dec 2025
Viewed by 104
Abstract
Prognostics and Health Management (PHM) is a vital approach which aims to predict the failure of engineering systems at an early stage and optimize maintenance strategies. It operates through continuous system monitoring, anomaly detection, fault detection, and Remaining Useful Life (RUL) estimation. Accurate [...] Read more.
Prognostics and Health Management (PHM) is a vital approach which aims to predict the failure of engineering systems at an early stage and optimize maintenance strategies. It operates through continuous system monitoring, anomaly detection, fault detection, and Remaining Useful Life (RUL) estimation. Accurate RUL prediction for aircraft engines is critical for enhancing operational safety and minimizing maintenance costs. Traditional methods are largely dependent on handcrafted features and domain-specific knowledge. They often fail to capture the nonlinear and high-dimensional degradation dynamics of real-world systems. In this study, we propose an enhanced deep learning architecture combining Long Short-Term Memory (LSTM) and Bidirectional LSTM networks with a new Matrix-Statistics-Aware Attention (LSTM-MSAA) method. Unlike conventional attention methods, our proposed method incorporates auxiliary scalar features, such as the Frobenius norm, spectral norm, and soft rank, into the attention score computation. This hybrid model provides a more informative representation of engine state transitions. The model is evaluated on both legacy and newly released C-MAPSS datasets from NASA’s Prognostics Data Repository. Experimental results reveal a reduction in RMSE compared to baseline models, validating the effectiveness of our attention fusion strategy in capturing intricate degradation behaviors and improving predictive performance. Full article
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21 pages, 12457 KB  
Article
Virtual Synchronous Generator Multi-Parameter Cooperative Adaptive Control Based on a Fuzzy and Soft Actor–Critic Fusion Framework
by Zhixing Wang, Yu Xu and Jing Bai
Energies 2026, 19(1), 57; https://doi.org/10.3390/en19010057 - 22 Dec 2025
Viewed by 201
Abstract
To address the issue that distributed renewable energy grid-connected Virtual Synchronous Generator (VSG) systems are prone to significant power and frequency fluctuations under changing operating conditions, this paper proposes a multi-parameter coordinated control strategy for VSGs based on a fusion framework of fuzzy [...] Read more.
To address the issue that distributed renewable energy grid-connected Virtual Synchronous Generator (VSG) systems are prone to significant power and frequency fluctuations under changing operating conditions, this paper proposes a multi-parameter coordinated control strategy for VSGs based on a fusion framework of fuzzy logic and the Soft Actor–Critic (SAC) algorithm, termed Improved SAC-based Virtual Synchronous Generator control (ISAC-VSG). First, the method uses fuzzy logic to map the frequency deviation and its rate of change into a five-dimensional membership vector, which characterizes the uncertainty and nonlinear features during the transient process, enabling segmented policy optimization for different transient regions. Second, a stage-based guidance mechanism is introduced into the reward function to balance the agent’s exploration and stability, thereby improving the reliability of the policy. Finally, the action space is expanded from inertia–damping to the coordinated regulation of inertia, damping, and active power droop coefficient, achieving multi-parameter dynamic optimization. MATLAB/Simulink R2022b simulation results indicate that, compared with the traditional SAC-VSG and DDPG-VSG method, the proposed strategy can reduce the maximum frequency overshoot by up to 29.6% and shorten the settling time by approximately 15.6% under typical operating conditions such as load step changes and grid phase disturbances. It demonstrates superior frequency oscillation suppression capability and system robustness, verifying the effectiveness and application potential of the proposed method in high-penetration renewable energy power systems. Full article
(This article belongs to the Section A1: Smart Grids and Microgrids)
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19 pages, 1281 KB  
Article
The Optimal Frequency Control Problem of a Nonlinear Oscillator
by Victor Ilyutko, Dmitrii Kamzolkin and Vladimir Ternovski
Mathematics 2026, 14(1), 37; https://doi.org/10.3390/math14010037 - 22 Dec 2025
Viewed by 103
Abstract
We study a minimum-time (time-optimal) control problem for a nonlinear pendulum-type oscillator, in which the control input is the system’s natural frequency constrained to a prescribed interval. The objective is to transfer the oscillator from a given initial state to a prescribed terminal [...] Read more.
We study a minimum-time (time-optimal) control problem for a nonlinear pendulum-type oscillator, in which the control input is the system’s natural frequency constrained to a prescribed interval. The objective is to transfer the oscillator from a given initial state to a prescribed terminal state in the shortest possible time. Our approach combines Pontryagin’s maximum principle with Bellman’s principle of optimality. First, we decompose the original problem into a sequence of auxiliary problems, each corresponding to a single semi-oscillation. For every such subproblem, we obtain a complete analytical solution by applying Pontryagin’s maximum principle. These results allow us to reduce the global problem of minimizing the transfer time between the prescribed states to a finite-dimensional optimization problem over a sequence of intermediate amplitudes, which is then solved numerically by dynamic programming. Numerical experiments reveal characteristic features of optimal trajectories in the nonlinear regime, including a non-periodic switching structure, non-uniform semi-oscillation durations, and significant deviations from the behavior of the corresponding linearized system. The proposed framework provides a basis for the synthesis of fast oscillatory regimes in systems with controllable frequency, such as pendulum and crane systems and robotic manipulators. Full article
(This article belongs to the Section E: Applied Mathematics)
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22 pages, 13337 KB  
Article
A Comprehensive Framework for Modelling and Control of Morphing Quadrotor Drones
by Jonghyun Woo, Inyoung Jung, Yeongho Kim and Seokwon Lee
Aerospace 2026, 13(1), 5; https://doi.org/10.3390/aerospace13010005 - 22 Dec 2025
Viewed by 239
Abstract
This paper proposes a comprehensive framework for control of an extended Morphing Aerial System (MAS) designed to achieve both mission flexibility and fault tolerance. The proposed quadrotor features a morphing configuration that integrates a two-dimensional planar folding structure with a tilt mechanism. This [...] Read more.
This paper proposes a comprehensive framework for control of an extended Morphing Aerial System (MAS) designed to achieve both mission flexibility and fault tolerance. The proposed quadrotor features a morphing configuration that integrates a two-dimensional planar folding structure with a tilt mechanism. This morphing capability offers structural simplicity and operational versatility, which enables stable flight in various established modes. The control strategy utilizes feedback linearization and a Linear Quadratic Regulator (LQR), adapted to the system’s nonlinear dynamics and capable of controlling the MAS across various configurations (X, H, and O modes). An Extended Kalman Filter (EKF) is also incorporated for state estimation. To ensure fault resilience, we introduce the Y-mode configuration and a corresponding Fault-Tolerant Control (FTC) architecture. Numerical simulations demonstrate that while a nominal controller fails immediately upon motor failure, the proposed FTC method successfully recovers flight stability, converging to the reference trajectory within 6.9 s. Furthermore, robustness analysis confirms that the system maintains operational integrity for fault detection latencies up to 0.40 s, demonstrating its feasibility under realistic sensing constraints. Full article
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17 pages, 6734 KB  
Article
A Fully Integrated Monolithic Monitor for Aging-Induced Leakage Current Characterization
by Emmanuel Nti Darko, Saeid Karimpour, Daniel Adjei, Kelvin Tamakloe and Degang Chen
Sensors 2026, 26(1), 64; https://doi.org/10.3390/s26010064 - 22 Dec 2025
Viewed by 180
Abstract
This paper presents a precision, wide-dynamic-range leakage current sensor tailored for in-situ monitoring of aging mechanisms such as Time-Dependent Dielectric Breakdown (TDDB) in both active and passive components. The proposed architecture supports high-voltage stress and is fully monolithic, integrating a current-to-voltage front-end, tunable-gain [...] Read more.
This paper presents a precision, wide-dynamic-range leakage current sensor tailored for in-situ monitoring of aging mechanisms such as Time-Dependent Dielectric Breakdown (TDDB) in both active and passive components. The proposed architecture supports high-voltage stress and is fully monolithic, integrating a current-to-voltage front-end, tunable-gain amplifier, and a successive approximation register (SAR) analog-to-digital converter (ADC). To validate the concept, a discrete-component prototype was implemented and evaluated across a leakage current range of 1 nA to 1 μA. The sensor achieves 12-bit resolution with measured integral non-linearity (INL) and differential non-linearity (DNL) within ±1.5 LSB and ±0.3 LSB, respectively. Compared to prior monitors, the design enables linear current digitization and supports high-voltage stress, features essential for accurate and scalable TDDB characterization. Applications include embedded reliability monitoring in power converters, analog building blocks, and large-scale aging test arrays. Full article
(This article belongs to the Section Electronic Sensors)
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25 pages, 5120 KB  
Article
Application of a Hybrid CNN-LSTM Model for Groundwater Level Forecasting in Arid Regions: A Case Study from the Tailan River Basin
by Shuting Hu, Mingliang Du, Jiayun Yang, Yankun Liu, Ziyun Tuo and Xiaofei Ma
ISPRS Int. J. Geo-Inf. 2026, 15(1), 6; https://doi.org/10.3390/ijgi15010006 - 21 Dec 2025
Viewed by 172
Abstract
Accurate forecasting of groundwater level dynamics poses a critical challenge for sustainable water management in arid regions. However, the strong spatiotemporal heterogeneity inherent in groundwater systems and their complex interactions between natural processes and human activities often limit the effectiveness of conventional prediction [...] Read more.
Accurate forecasting of groundwater level dynamics poses a critical challenge for sustainable water management in arid regions. However, the strong spatiotemporal heterogeneity inherent in groundwater systems and their complex interactions between natural processes and human activities often limit the effectiveness of conventional prediction methods. To address this, a hybrid CNN-LSTM deep learning model is constructed. This model is designed to extract multivariate coupled features and capture temporal dependencies from multi-variable time series data, while simultaneously simulating the nonlinear and delayed responses of aquifers to groundwater abstraction. Specifically, the convolutional neural network (CNN) component extracts the multivariate coupled features of hydro-meteorological driving factors, and the long short-term memory (LSTM) network component models the temporal dependencies in groundwater level fluctuations. This integrated architecture comprehensively represents the combined effects of natural recharge–discharge processes and anthropogenic pumping on the groundwater system. Utilizing monitoring data from 2021 to 2024, the model was trained and tested using a rolling time-series validation strategy. Its performance was benchmarked against traditional models, including the autoregressive integrated moving average (ARIMA) model, recurrent neural network (RNN), and standalone LSTM. The results show that the CNN-LSTM model delivers superior performance across diverse hydrogeological conditions: at the upstream well AJC-7, which is dominated by natural recharge and discharge, the Nash–Sutcliffe efficiency (NSE) coefficient reached 0.922; at the downstream well AJC-21, which is subject to intensive pumping, the model maintained a robust NSE of 0.787, significantly outperforming the benchmark models. Further sensitivity analysis reveals an asymmetric response of the model’s predictions to uncertainties in pumping data, highlighting the role of key hydrogeological processes such as delayed drainage from the vadose zone. This study not only confirms the strong applicability of the hybrid deep learning model for groundwater level prediction in data-scarce arid regions but also provides a novel analytical pathway and mechanistic insight into the nonlinear behavior of aquifer systems under significant human influence. Full article
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25 pages, 2973 KB  
Article
Enhancing Bridge Strain Parameter Prediction Algorithm Using a Temporal Multi-Scale Convolutional Neural Network for Nonstationary Monitoring Data: Example from the Qijiang River Bridge, China
by Chengzhong Gui, Jiangguang Zhang, Xingyu Cao, Yuxin Zhao and Lihao Chen
Appl. Sci. 2026, 16(1), 68; https://doi.org/10.3390/app16010068 - 20 Dec 2025
Viewed by 221
Abstract
Bridge Health Monitoring (BHM) systems generate nonstationary time-series data that pose challenges for accurate structural state prediction. This study proposes a novel neural network-based method for predicting bridge states, the Temporal Multi-Scale Convolutional Neural Network (T-MSCNN) to enhance the prediction of dynamic strain [...] Read more.
Bridge Health Monitoring (BHM) systems generate nonstationary time-series data that pose challenges for accurate structural state prediction. This study proposes a novel neural network-based method for predicting bridge states, the Temporal Multi-Scale Convolutional Neural Network (T-MSCNN) to enhance the prediction of dynamic strain parameters, which directly reflect structural stress states. The T-MSCNN integrates multi-scale convolutional layers for local feature extraction and gated recurrent units (GRUs), by using the Convolutional Neural Network (CNN) model and the Gated Recurrent Unit (GRU) model to address the intricacies of the nonstationary BHM data. Validated with real strain data from the Qijiang River Bridge in China, the model demonstrated superior performance over traditional models (HA, ARIMA, SVR) and standalone deep learning models (CNN, GRU), achieving reductions in prediction error by Root Mean Square Error (RMSE) method—up to 77.7%, compared to the ARIMA model and consistently improving even over the strong GRU baseline. The perturbation analysis confirms its robustness under noise interference. The T-MSCNN provides a reliable data-driven framework for structural health diagnostics, with potential applicability to other fields involving nonlinear spatiotemporal data analysis. Full article
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19 pages, 425 KB  
Article
A Decision-Support Model for Holistic Energy-Sustainable Fleet Transition
by Antoni Korcyl, Katarzyna Gdowska and Roger Książek
Sustainability 2026, 18(1), 62; https://doi.org/10.3390/su18010062 - 20 Dec 2025
Viewed by 117
Abstract
The transition toward sustainable transport systems requires decision-support tools that help organizations navigate strategic choices under environmental, economic, and operational constraints. This study introduces the Holistic Multi-Period Fleet Planning Problem (HMPFPP), a nonlinear optimization model designed to support long-term, sustainability-oriented fleet modernization. The [...] Read more.
The transition toward sustainable transport systems requires decision-support tools that help organizations navigate strategic choices under environmental, economic, and operational constraints. This study introduces the Holistic Multi-Period Fleet Planning Problem (HMPFPP), a nonlinear optimization model designed to support long-term, sustainability-oriented fleet modernization. The model integrates investment costs, operational performance, emission limits, and dynamic demand into a unified analytical framework, enabling organizations to assess the long-term consequences of their decisions. A notable feature of the HMPFPP is the inclusion of outsourcing as a strategic option, which expands the decision space and helps maintain service performance when internal fleet capacity is constrained. An illustrative ten-year scenario demonstrates that the model generates non-uniform but cost-efficient transition pathways, in which legacy vehicles are gradually replaced by cleaner technologies, and temporary fleet downsizing can be optimal during low-demand periods. Outsourcing is activated only when joint emission and budget constraints make fully internal service provision infeasible. Across the tested instance, the HMPFPP is solved within seconds on standard hardware, confirming its computational tractability for exploratory planning. Taken together, these results indicate that data-driven optimization based on the HMPFPP can provide transparent and robust support for sustainable fleet management and transition planning. Full article
(This article belongs to the Special Issue Decision-Making in Sustainable Management)
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