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Search Results (333)

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Keywords = probabilistic and statistical approach

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27 pages, 1494 KB  
Review
A Survey on Missing Data Generation in Networks
by Qi Shao, Ruizhe Shi, Xiaoyu Zhang and Duxin Chen
Mathematics 2026, 14(2), 341; https://doi.org/10.3390/math14020341 - 20 Jan 2026
Viewed by 52
Abstract
The prevalence of massive, multi-scale, high-dimensional, and dynamic data sets resulting from advances in information and network communication technologies is frequently hampered by data incompleteness, a consequence of complex network structures and constrained sensor capabilities. The necessity of complete data for effective data [...] Read more.
The prevalence of massive, multi-scale, high-dimensional, and dynamic data sets resulting from advances in information and network communication technologies is frequently hampered by data incompleteness, a consequence of complex network structures and constrained sensor capabilities. The necessity of complete data for effective data analysis and mining mandates robust preprocessing techniques. This comprehensive survey systematically reviews missing value interpolation methodologies specifically tailored for time series flow network data, organizing them into four principal categories: classical statistical algorithms, matrix/tensor-based interpolation methods, nearest-neighbor-weighted methods, and deep learning generative models. We detail the evolution and technical underpinnings of diverse approaches, including mean imputation, the ARMA family, matrix factorization, KNN variants, and the latest deep generative paradigms such as GANs, VAEs, normalizing flows, autoregressive models, diffusion probabilistic models, causal generative models, and reinforcement learning generative models. By delineating the strengths and weaknesses across these categories, this survey establishes a structured foundation and offers a forward-looking perspective on state-of-the-art techniques for missing data generation and imputation in complex networks. Full article
(This article belongs to the Special Issue Advanced Machine Learning Research in Complex System)
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28 pages, 12687 KB  
Article
Fatigue Analysis and Numerical Simulation of Loess Reinforced with Permeable Polyurethane Polymer Grouting
by Lisha Yue, Xiaodong Yang, Shuo Liu, Chengchao Guo, Zhihua Guo, Loukai Du and Lina Wang
Polymers 2026, 18(2), 242; https://doi.org/10.3390/polym18020242 - 16 Jan 2026
Viewed by 150
Abstract
Loess subgrades are prone to significant strength reduction and deformation under cyclic traffic loads and moisture ingress. Permeable polyurethane polymer grouting has emerged as a promising non-excavation technique for rapid subgrade reinforcement. This study systematically investigated the fatigue behavior of polymer-grouted loess using [...] Read more.
Loess subgrades are prone to significant strength reduction and deformation under cyclic traffic loads and moisture ingress. Permeable polyurethane polymer grouting has emerged as a promising non-excavation technique for rapid subgrade reinforcement. This study systematically investigated the fatigue behavior of polymer-grouted loess using laboratory fatigue tests and numerical simulations. A series of stress-controlled cyclic tests were conducted on grouted loess specimens under varying moisture contents and stress levels, revealing that fatigue life decreased with increasing moisture and stress levels, with a maximum life of 200,000 cycles achieved under optimal conditions. The failure process was categorized into three distinct stages, culminating in a “multiple-crack” mode, indicating improved stress distribution and ductility. Statistical analysis confirmed that fatigue life followed a two-parameter Weibull distribution, enabling the development of a probabilistic fatigue life prediction model. Furthermore, a 3D finite element model of the road structure was established in Abaqus and integrated with Fe-safe for fatigue life assessment. The results demonstrated that polymer grouting reduced subgrade stress by nearly one order of magnitude and increased fatigue life by approximately tenfold. The consistency between the simulation outcomes and experimentally derived fatigue equations underscores the reliability of the proposed numerical approach. This research provides a theoretical and practical foundation for the fatigue-resistant design and maintenance of loess subgrades reinforced with permeable polyurethane polymer grouting, contributing to the development of sustainable infrastructure in loess-rich regions. Full article
(This article belongs to the Section Polymer Applications)
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15 pages, 921 KB  
Article
Dental Anxiety and Oral Health-Related Quality of Life Among Adults in the United Arab Emirates: A Cross-Sectional Study
by Nada Tawfig Hashim, Muhammed Mustahsen Rahman, Riham Mohammed, Md Sofiqul Islam, Vivek Padmanabhan, Sharifa Jameel Hossain, Nallan C. S. K. Chaitanya, Noran Osama Mohammed, Asawer Ahmed Saeed and Shahista Parveen Dasnadi
Healthcare 2026, 14(2), 219; https://doi.org/10.3390/healthcare14020219 - 15 Jan 2026
Viewed by 118
Abstract
Background: Dental anxiety is a common psychological condition that may influence patients’ perceptions of oral health and well-being. Although its association with oral health-related quality of life (OHRQoL) has been widely studied internationally, evidence from the United Arab Emirates (UAE) remains limited. [...] Read more.
Background: Dental anxiety is a common psychological condition that may influence patients’ perceptions of oral health and well-being. Although its association with oral health-related quality of life (OHRQoL) has been widely studied internationally, evidence from the United Arab Emirates (UAE) remains limited. Objectives: This study aimed to examine the association between dental anxiety and OHRQoL among adult patients attending an academic dental clinic in the UAE. Methods: A cross-sectional study was conducted among adult dental patients using a non-probabilistic sampling approach. Dental anxiety was assessed using the Modified Dental Anxiety Scale (MDAS), and OHRQoL was measured using the Oral Health Impact Profile-14 (OHIP-14). Descriptive statistics and nonparametric tests were used for bivariate analyses. Multiple linear regression was applied as an exploratory approach to assess adjusted associations between dental anxiety and OHRQoL after accounting for age and gender. Results: Higher dental anxiety scores were independently associated with poorer OHRQoL after adjustment for age and gender. Bivariate analyses showed no statistically significant differences in dental anxiety or OHRQoL scores between men and women; however, subgroup comparisons should be interpreted cautiously given the sample size. The findings indicate a consistent association between higher anxiety levels and greater perceived oral health impact within the study population. Conclusions: Dental anxiety was associated with impaired oral health-related quality of life among adult dental clinic attendees in the UAE. These findings reflect associations observed within a modest, non-probabilistic, cross-sectional sample and should not be interpreted as causal or generalized to the wider population. Further longitudinal and population-based studies incorporating clinical and contextual variables are needed to clarify temporal relationships and strengthen external validity. Full article
(This article belongs to the Special Issue Oral and Maxillofacial Health Care: Third Edition)
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34 pages, 7282 KB  
Article
Investigating the Uncertainty Quantification of Failure of Shallow Foundation of Cohesionless Soils Through Drucker–Prager Constitutive Model and Probabilistic FEM
by Ambrosios-Antonios Savvides
Geotechnics 2026, 6(1), 6; https://doi.org/10.3390/geotechnics6010006 - 14 Jan 2026
Viewed by 246
Abstract
Uncertainty quantification in science and engineering has become increasingly important due to advances in computational mechanics and numerical simulation techniques. In this work, the relationship between uncertainty in soil material parameters and the variability of failure loads and displacements of a shallow foundation [...] Read more.
Uncertainty quantification in science and engineering has become increasingly important due to advances in computational mechanics and numerical simulation techniques. In this work, the relationship between uncertainty in soil material parameters and the variability of failure loads and displacements of a shallow foundation is investigated. A Drucker–Prager constitutive law is implemented within a stochastic finite element framework. The random material variables considered are the critical state line slope c, the unload–reload path slope κ, and the hydraulic permeability k defined by Darcy’s law. The novelty of this work lies in the integrated stochastic u–p finite element framework. The framework combines Drucker–Prager plasticity with spatially varying material properties, and Latin Hypercube Sampling. This approach enables probabilistic prediction of failure loads, displacements, stresses, strains, and limit-state initiation points at reduced computational cost compared to conventional Monte Carlo simulations. Statistical post-processing of the output parameters is performed using the Kolmogorov–Smirnov test. The results indicate that, for the investigated configurations, the distributions of failure loads and displacements can be adequately approximated by Gaussian distributions, despite the presence of material nonlinearity. Furthermore, the influence of soil depth and load eccentricity on the limit-state response is quantified within the proposed probabilistic framework. Full article
(This article belongs to the Special Issue Recent Advances in Geotechnical Engineering (3rd Edition))
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21 pages, 6454 KB  
Article
Probabilistic Photovoltaic Power Forecasting with Reliable Uncertainty Quantification via Multi-Scale Temporal–Spatial Attention and Conformalized Quantile Regression
by Guanghu Wang, Yan Zhou, Yan Yan, Zhihan Zhou, Zikang Yang, Litao Dai and Junpeng Huang
Sustainability 2026, 18(2), 739; https://doi.org/10.3390/su18020739 - 11 Jan 2026
Viewed by 235
Abstract
Accurate probabilistic forecasting of photovoltaic (PV) power generation is crucial for grid scheduling and renewable energy integration. However, existing approaches often produce prediction intervals with limited calibration accuracy, and the interdependence among meteorological variables is frequently overlooked. This study proposes a probabilistic forecasting [...] Read more.
Accurate probabilistic forecasting of photovoltaic (PV) power generation is crucial for grid scheduling and renewable energy integration. However, existing approaches often produce prediction intervals with limited calibration accuracy, and the interdependence among meteorological variables is frequently overlooked. This study proposes a probabilistic forecasting framework based on a Multi-scale Temporal–Spatial Attention Quantile Regression Network (MTSA-QRN) and an adaptive calibration mechanism to enhance uncertainty quantification and ensure statistically reliable prediction intervals. The framework employs a dual-pathway architecture: a temporal pathway combining Temporal Convolutional Networks (TCN) and multi-head self-attention to capture hierarchical temporal dependencies, and a spatial pathway based on Graph Attention Networks (GAT) to model nonlinear meteorological correlations. A learnable gated fusion mechanism adaptively integrates temporal–spatial representations, and weather-adaptive modules enhance robustness under diverse atmospheric conditions. Multi-quantile prediction intervals are calibrated using conformalized quantile regression to ensure reliable uncertainty coverage. Experiments on a real-world PV dataset (15 min resolution) demonstrate that the proposed method offers more accurate and sharper uncertainty estimates than competitive benchmarks, supporting risk-aware operational decision-making in power systems. Quantitative evaluation on a real-world 40 MW photovoltaic plant demonstrates that the proposed MTSA-QRN achieves a CRPS of 0.0400 before calibration, representing an improvement of over 55% compared with representative deep learning baselines such as Quantile-GRU, Quantile-LSTM, and Quantile-Transformer. After adaptive calibration, the proposed method attains a reliable empirical coverage close to the nominal level (PICP90 = 0.9053), indicating effective uncertainty calibration. Although the calibrated prediction intervals become wider, the model maintains a competitive CRPS value (0.0453), striking a favorable balance between reliability and probabilistic accuracy. These results demonstrate the effectiveness of the proposed framework for reliable probabilistic photovoltaic power forecasting. Full article
(This article belongs to the Topic Sustainable Energy Systems)
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11 pages, 1585 KB  
Article
Statistical Post-Processing of Ensemble LLWS Forecasts Using EMOS: A Case Study at Incheon International Airport
by Chansoo Kim
Appl. Sci. 2026, 16(2), 750; https://doi.org/10.3390/app16020750 - 11 Jan 2026
Viewed by 136
Abstract
Low-level wind shear (LLWS) is a critical aviation hazard that can cause flight disruptions and pose significant safety risks. Despite its operational importance, forecasting LLWS remains a challenging task. To improve LLWS prediction, probabilistic forecasting approaches based on ensemble prediction systems are increasingly [...] Read more.
Low-level wind shear (LLWS) is a critical aviation hazard that can cause flight disruptions and pose significant safety risks. Despite its operational importance, forecasting LLWS remains a challenging task. To improve LLWS prediction, probabilistic forecasting approaches based on ensemble prediction systems are increasingly used. In this study, LLWS forecasts were generated using a high-resolution, limited-area ensemble model, which allows for the representation of forecast uncertainty and variability in atmospheric conditions. Forecasts for Incheon International Airport were generated twice daily over the period from December 2018 to February 2020. To enhance forecast skill, statistical post-processing techniques, specifically Ensemble Model Output Statistics (EMOS), were applied and calibrated using Aircraft Meteorological Data Relay (AMDAR) observations. Prior to calibration, rank histograms were examined to assess the reliability and distributional consistency of the ensemble forecasts. Forecast performance was evaluated using commonly applied probabilistic verification metrics, including the mean absolute error (MAE), the continuous ranked probability score (CRPS), and probability integral transform (PIT). The results indicate that ensemble forecasts adjusted through statistical post-processing generally provide more reliable and accurate predictions than the unprocessed raw ensemble outputs. Full article
(This article belongs to the Special Issue Advanced Statistical Methods in Environmental and Climate Sciences)
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102 pages, 3295 KB  
Article
Sophimatics and 2D Complex Time to Mitigate Hallucinations in LLMs for Novel Intelligent Information Systems in Digital Transformation
by Gerardo Iovane and Giovanni Iovane
Appl. Sci. 2026, 16(1), 288; https://doi.org/10.3390/app16010288 - 27 Dec 2025
Viewed by 648
Abstract
While large language models (LLMs) such as ChatGPT, Claude, and DeepSeek are evaluated based on their accuracy and truthfulness, “hallucinations” betray underlying structural limitations. These results are not simply incorrect answers, but statistical resonances; they are instances where models stabilize into statistically significant [...] Read more.
While large language models (LLMs) such as ChatGPT, Claude, and DeepSeek are evaluated based on their accuracy and truthfulness, “hallucinations” betray underlying structural limitations. These results are not simply incorrect answers, but statistical resonances; they are instances where models stabilize into statistically significant (though semantically unfounded) response patterns. Current frameworks fail to accommodate contextual semantics, experiential time, and intentionality as key dimensions for effective experience-based decision-making in complex digital spaces. This article presents an integration paradigm offered by the theory of uncertainty and incompleteness of information, extended by the Sophimatics approach with 2D complex time (t = t + i·t0) and Super Time Cognitive Neural Network (STCNN) that provides both memory management, imagination enhancement, and creativity generation as computational primitives. By integrating probability with plausibility, credibility, and possibility, our model reconsiders the issue of evaluating the reliability of LLM results as a problem that goes beyond traditional probabilistic approaches. Accepting that hallucinations are an emerging phenomenon of resonance between statistical distributions, we suggest an extended probability method in which these resonances can be mitigated and directed towards a coherent cognitive understanding. The paper places this approach in the broader perspective of digital transformation at the information systems level and its implications for AI reliability, explainability, and adaptive decision-making in post-generative AI. Intuitive scenarios are described, based on the inclusion of complex time and Sophimatics in theoretical modelling, illustrating how prediction, historical-contextual adoption, and resistance to paradoxical or contradictory information are strengthened. The results point to this paradigm as a springboard for reliable, human-aligned AI capable of enabling digital transformation in sectors such as healthcare, finance, and governance. Full article
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36 pages, 1287 KB  
Article
Distribution-Aware Outlier Detection in High Dimensions: A Scalable Parametric Approach
by Jie Zhou, Karson Hodge, Weiqiang Dong and Emmanuel Tamakloe
Mathematics 2026, 14(1), 77; https://doi.org/10.3390/math14010077 - 25 Dec 2025
Viewed by 280
Abstract
We propose a distribution-aware framework for unsupervised outlier detection that transforms multivariate data into one-dimensional neighborhood statistics and identifies anomalies through fitted parametric distributions. This directly addresses central difficulties of high-dimensional data—including sparsity of observations, the concentration of pairwise distances, hubness phenomena in [...] Read more.
We propose a distribution-aware framework for unsupervised outlier detection that transforms multivariate data into one-dimensional neighborhood statistics and identifies anomalies through fitted parametric distributions. This directly addresses central difficulties of high-dimensional data—including sparsity of observations, the concentration of pairwise distances, hubness phenomena in nearest-neighbor graphs, and general effects of the curse of dimensionality that degrade classical distance-based scoring. Supported by the Cumulative Distribution Function (CDF) Superiority Theorem and validated through Monte Carlo simulations, the method connects distributional modeling with Receiver Operating Characteristic–Area Under the Curve (ROC–AUC) consistency and produces interpretable, probabilistically calibrated scores. Across 23 real-world datasets, the proposed parametric models demonstrate competitive or superior detection accuracy with strong stability and minimal tuning compared with baseline non-parametric approaches. The framework is computationally lightweight and robust across diverse domains, offering clear probabilistic interpretability and substantially lower computational cost than conventional non-parametric detectors. These findings establish a principled and scalable approach to outlier detection, showing that statistical modeling of neighborhood distances can achieve high accuracy, transparency, and efficiency within a unified parametric framework. Full article
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22 pages, 4330 KB  
Article
Fatigue Life Prediction and Reliability Analysis of Reinforced Concrete Bridge Decks Based on an XFEM–ANN–Monte Carlo Hybrid Framework
by Huating Chen, Peng Li and Yifan Zhuo
Appl. Sci. 2026, 16(1), 209; https://doi.org/10.3390/app16010209 - 24 Dec 2025
Viewed by 352
Abstract
This study proposes a hybrid computational framework that integrates the Extended Finite Element Method (XFEM), Artificial Neural Network (ANN), and Monte Carlo simulation to evaluate the fatigue crack propagation and reliability of reinforced concrete (RC) bridge decks. First, XFEM was employed to simulate [...] Read more.
This study proposes a hybrid computational framework that integrates the Extended Finite Element Method (XFEM), Artificial Neural Network (ANN), and Monte Carlo simulation to evaluate the fatigue crack propagation and reliability of reinforced concrete (RC) bridge decks. First, XFEM was employed to simulate crack initiation and propagation under cyclic loading based on the statistical distributions of the Paris law parameters C and m. The fatigue life data generated from these simulations were used to train a multilayer feedforward ANN optimized with the Adam algorithm and the ReLU activation function. The trained network achieved a high prediction accuracy (R2 = 0.99, MAPE = 0.977%) and demonstrated strong generalization capability for predicting the XFEM-derived fatigue life. Subsequently, 10,000 Monte Carlo samples of C and m were analyzed using the trained ANN to perform probabilistic fatigue life assessment. The results revealed a nonlinear degradation pattern in reliability: the structural reliability remained high at low fatigue cycles but decreased sharply once a critical threshold of approximately 1.45 × 109 cycles was reached. When actual bridge traffic was considered, the deck maintained a reliability of 0.99 after 23 years and 0.95 after 67 years of service. Compared with the XFEM, the ANN-based prediction improved computational efficiency by more than 104 times while maintaining satisfactory accuracy. The proposed hybrid framework effectively combines deterministic simulation, probabilistic analysis, and data-driven modeling, providing a rapid and reliable approach for predicting fatigue life and evaluating the reliability of concrete bridge structures. Full article
(This article belongs to the Special Issue Application of Fracture Mechanics in Structures)
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15 pages, 854 KB  
Article
Research on Software Optimization for Discrete Fourier Test
by Xianwei Yang and Lan Wang
Axioms 2026, 15(1), 4; https://doi.org/10.3390/axioms15010004 - 22 Dec 2025
Viewed by 222
Abstract
Random sequences are critical to cryptographic technologies and applications. Randomness testing typically employs probabilistic statistical techniques for evaluating the randomness properties of such sequences. Both the National Institute of Standards and Technology (NIST, Gaithersburg, MD, U.S.) and the State Cryptography Administration (SCA, China) [...] Read more.
Random sequences are critical to cryptographic technologies and applications. Randomness testing typically employs probabilistic statistical techniques for evaluating the randomness properties of such sequences. Both the National Institute of Standards and Technology (NIST, Gaithersburg, MD, U.S.) and the State Cryptography Administration (SCA, China) have issued guidelines for randomness testing, each of which includes the Discrete Fourier Transform (DFT) test as one of the mandatory assessments. This paper focuses on the efficient implementation of the DFT test and proposes a fast implementation approach that leverages FFTW (Fastest Fourier Transform in the West). Comprehensive experimental tests and performance evaluations were performed both before and after optimization of the algorithm. The results show that the optimized algorithm increases the speed of the DFT test for a single sample by a factor of 3.37. Full article
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25 pages, 6352 KB  
Article
Integrated Stochastic Framework for Drought Assessment and Forecasting Using Climate Indices, Remote Sensing, and ARIMA Modelling
by Majed Alsubih, Javed Mallick, Hoang Thi Hang, Mansour S. Almatawa and Vijay P. Singh
Water 2025, 17(24), 3582; https://doi.org/10.3390/w17243582 - 17 Dec 2025
Viewed by 416
Abstract
This study presents an integrated stochastic framework for assessing and forecasting drought dynamics in the western Bhagirathi–Hooghly River Basin, encompassing the districts of Bankura, Birbhum, Burdwan, Medinipur, and Purulia. Employing multiple probabilistic and statistical techniques, including the gamma-based standardized precipitation index (SPI), effective [...] Read more.
This study presents an integrated stochastic framework for assessing and forecasting drought dynamics in the western Bhagirathi–Hooghly River Basin, encompassing the districts of Bankura, Birbhum, Burdwan, Medinipur, and Purulia. Employing multiple probabilistic and statistical techniques, including the gamma-based standardized precipitation index (SPI), effective drought index (EDI), rainfall anomaly index (RAI), and the auto-regressive integrated moving average (ARIMA) model, the research quantifies spatio-temporal variability and projects drought risk under non-stationary climatic conditions. The analysis of century-long rainfall records (1905–2023), coupled with LANDSAT-derived vegetation and moisture indices, reveals escalating drought frequency and severity, particularly in Purulia, where recurrent droughts occur at roughly four-year intervals. Stochastic evaluation of rainfall anomalies and SPI distributions indicates significant inter-annual variability and complex temporal dependencies across all districts. ARIMA-based forecasts (2025–2045) suggest persistent negative SPI trends, with Bankura and Purulia exhibiting heightened drought probability and reduced predictability at longer timescales. The integration of remote sensing and time-series modelling enhances the robustness of drought prediction by combining climatic stochasticity with land-surface responses. The findings demonstrate that a hybrid stochastic modelling approach effectively captures uncertainty in drought evolution and supports climate-resilient water resource management. This research contributes a novel, region-specific stochastic framework that advances risk-based drought assessment, aligning with the broader goal of developing adaptive and probabilistic environmental management strategies under changing climatic regimes. Full article
(This article belongs to the Special Issue Drought Evaluation Under Climate Change Condition)
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34 pages, 487 KB  
Article
Adoption of 3D-Printed Food in Romania: Price Perception as a Key Determinant of Consumer Acceptance
by Iuliana Petronela Gârdan, Mihai Ioan Roșca, Daniel Adrian Gârdan, Mihai Andronie, Laura Daniela Roșca and Carmen Adina Paștiu
Foods 2025, 14(24), 4306; https://doi.org/10.3390/foods14244306 - 14 Dec 2025
Viewed by 332
Abstract
Three-dimensional printed food has rapidly positioned itself at the intersection of food technology and personalized nutrition, opening up new perspectives for sustainable production, creative customization, and more efficient resource use. Although global interest in this innovation continues to grow, consumer acceptance remains largely [...] Read more.
Three-dimensional printed food has rapidly positioned itself at the intersection of food technology and personalized nutrition, opening up new perspectives for sustainable production, creative customization, and more efficient resource use. Although global interest in this innovation continues to grow, consumer acceptance remains largely underexplored in Central and Eastern Europe. This study analyzes how Romanian consumers approach the adoption of 3D-printed food by applying an extended UTAUT2 framework to a sample of 608 urban respondents. Using structural equation modeling, it examines the influence of expected effort, performance expectancy, social influence, and perceived compatibility on adoption intention, while price perception is introduced as a key mediating variable—a novel and meaningful contribution to the literature on food technology acceptance. Given the non-probabilistic sampling design, the difficulties encountered in measuring Hedonic Motivation and Facilitating Conditions, and the early diffusion stage of 3D food printing in Romania, the present work should be viewed as a robust exploratory investigation based on Structural Equation Modeling (SEM) among urban Romanian consumers, providing first empirical evidence on 3D-printed food acceptance in Eastern Europe rather than definitive conclusions for the entire population. The results highlight that utilitarian and social factors are decisive: expected effort enhances perceived performance, while performance, social influence, and compatibility significantly strengthen perceptions of price fairness. In turn, price perception strongly predicts consumers’ behavioral intention to adopt 3D-printed food. Hedonic motivation and facilitating conditions were not statistically significant and were therefore removed from the final model. These findings show that, in emerging food markets, consumers tend to make adoption decisions based more on rational value assessments than on novelty or convenience. The study contributes to theory by embedding price perception into the UTAUT2 framework and to practice by identifying the key elements that can boost market readiness—transparent pricing and closer alignment with consumer values. By filling an important gap in the empirical literature from Eastern Europe and focusing on price as a cognitive bridge between technological and psychological drivers, this paper offers a timely and relevant contribution to ongoing research on consumer perception and acceptance of food innovations. For Eastern European food innovation research, this study provides one of the first quantitative analyses of 3D-printed food acceptance that explicitly links technology-related beliefs to price perception in a regional, price-sensitive context. Full article
(This article belongs to the Section Sensory and Consumer Sciences)
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21 pages, 1696 KB  
Article
A Probabilistic Framework for Reliability Assessment of Active Distribution Networks with High Renewable Penetration Under Extreme Weather Conditions
by Alexander Aguila Téllez, Narayanan Krishnan, Edwin García, Diego Carrión and Milton Ruiz
Energies 2025, 18(24), 6525; https://doi.org/10.3390/en18246525 - 12 Dec 2025
Viewed by 463
Abstract
The rapid growth of distributed photovoltaic (PV) resources is transforming distribution networks into active systems with highly variable net loads, while the rising frequency and severity of extreme weather events is increasing outage risk and restoration challenges. In this context, utilities require reliability [...] Read more.
The rapid growth of distributed photovoltaic (PV) resources is transforming distribution networks into active systems with highly variable net loads, while the rising frequency and severity of extreme weather events is increasing outage risk and restoration challenges. In this context, utilities require reliability assessment tools that jointly represent operational variability and climate-driven stressors beyond stationary assumptions. This paper presents a weather-aware probabilistic framework to quantify the reliability of active distribution networks with high PV penetration. The approach synthesizes realistic residential demand and PV time series at 15-min resolution, models extreme weather as a low-probability/high-impact escalation of component failure rates and restoration uncertainty, and computes IEEE Std 1366–2022 indices (SAIFI, SAIDI, ENS) through Monte Carlo simulation. The methodology is validated on a modified IEEE 33-bus feeder with parameter values representative of urban/suburban overhead networks. Compared with classical reliability modeling, the proposed framework captures in a unified pipeline the joint effects of load/PV stochasticity, weather-dependent failure escalation, and repair-time dispersion, providing a consistent statistical interpretation supported by kernel density estimation and convergence diagnostics. The results show that (i) extreme weather shifts the distributions of SAIFI, SAIDI and ENS to the right and thickens upper tails (higher exceedance probabilities); (ii) PV penetration yields a non-monotonic response with measurable improvements up to intermediate levels and saturation/partial degradation at very high penetrations; and (iii) compound risk is nonlinear, as the mean ENS surface over (rPV,Pext) exhibits a valley at moderate PV and a ridge for large storm probability. A tornado analysis identifies the base failure rate, storm escalation factor and storm exposure as dominant drivers, in line with resilience literature. Overall, the framework provides an auditable, scenario-based tool to co-design DER hosting and resilience investments. Full article
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16 pages, 522 KB  
Article
Zero-Inflated Text Data Analysis Using Imbalanced Data Sampling and Statistical Models
by Sunghae Jun
Computers 2025, 14(12), 527; https://doi.org/10.3390/computers14120527 - 2 Dec 2025
Viewed by 383
Abstract
Text data often exhibits high sparsity and zero inflation, where a substantial proportion of entries in the document–keyword matrix are zeros. This characteristic presents challenges to traditional count-based models, which may suffer from reduced predictive accuracy and interpretability in the presence of excessive [...] Read more.
Text data often exhibits high sparsity and zero inflation, where a substantial proportion of entries in the document–keyword matrix are zeros. This characteristic presents challenges to traditional count-based models, which may suffer from reduced predictive accuracy and interpretability in the presence of excessive zeros and overdispersion. To overcome this issue, we propose an effective analytical framework that integrates imbalanced data handling by undersampling with classical probabilistic count models. Specifically, we apply Poisson’s generalized linear models, zero-inflated Poisson, and zero-inflated negative binomial models to analyze zero-inflated text data while preserving the statistical interpretability of term-level counts. The framework is evaluated using both real-world patent documents and simulated datasets. Empirical results demonstrate that our undersampling-based approach improves the model fit without modifying the downstream models. This study contributes a practical preprocessing strategy for enhancing zero-inflated text analysis and offers insights into model selection and data balancing techniques for sparse count data. Full article
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35 pages, 10353 KB  
Article
Fault Diagnosis for Photovoltaic Systems: A Validated Industrial SCADA Framework
by Anastasiia Snytko, Gabino Jiménez-Castillo, Francisco José Muñoz-Rodríguez and Catalina Rus-Casas
Appl. Sci. 2025, 15(23), 12656; https://doi.org/10.3390/app152312656 - 28 Nov 2025
Viewed by 660
Abstract
Standard monitoring for photovoltaic (PV) systems, often based on IEC 61724-1, the standard published by the International Electrotechnical Commission (IEC) titled “Photovoltaic system performance—Part 1: Monitoring”, is frequently slow to detect critical operational anomalies, particularly those related to energy self-consumption where conventional generation-centric [...] Read more.
Standard monitoring for photovoltaic (PV) systems, often based on IEC 61724-1, the standard published by the International Electrotechnical Commission (IEC) titled “Photovoltaic system performance—Part 1: Monitoring”, is frequently slow to detect critical operational anomalies, particularly those related to energy self-consumption where conventional generation-centric metrics may appear normal. This work presents a validated industrial SCADA (i.e., Supervisory Control and Data Acquisition) framework designed for the accelerated fault diagnosis of such systems. The proposed methodology leverages high-resolution, real-time visualization of specific energy-flow indicators, including the Self-Consumption Ratio (SCR) and Self-Sufficiency Ratio (SSR), to provide immediate operational intelligence. The novelty of this approach lies not in the individual parameters themselves, but in their synergistic integration into a validated, high-speed SCADA system design and real-time diagnostic methodology. The framework’s diagnostic superiority was validated on two distinct, real-world case studies in Jaén, Spain (a 2.97 kW residential and a 58.5 kW commercial system), with primary research results confirming: (1) a simulated comparative benchmarking study demonstrated a significant reduction in Mean-Time-to-Detection (MTTD), achieving a consistent diagnostic speed improvement of over 80% for critical anomalies, and (2) a 10,000 h probabilistic simulation confirmed the statistical robustness of the proposed indicators across a wide range of operating conditions. By demonstrating the practical implementation of these principles within a scalable industrial platform, this work provides a validated and reproducible technical methodology that enhances PV system diagnostics, translating performance metrics into a tangible, high-speed tool for improving operational reliability. Full article
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