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Search Results (12,220)

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15 pages, 320 KB  
Article
Dental Treatment Needs and Cost Burden Among Older Adults: A K-Means Cluster Analysis to Inform Oral Health Policies
by Burcu Aksoy, Şükrü Can Akmansoy, Yasemin Özkan and Gonca Mumcu
Int. J. Environ. Res. Public Health 2026, 23(6), 797; https://doi.org/10.3390/ijerph23060797 (registering DOI) - 14 Jun 2026
Abstract
Oral health problems among older adults represent a growing public health concern due to increasing life expectancy and treatment needs. This study aimed to assess dental treatment needs and cost burden within the context of oral health policies. This retrospective study included anonymized [...] Read more.
Oral health problems among older adults represent a growing public health concern due to increasing life expectancy and treatment needs. This study aimed to assess dental treatment needs and cost burden within the context of oral health policies. This retrospective study included anonymized data from 250 patients aged ≥65 years (F/M: 121/129; 65–89 years). Sociodemographic characteristics, treatment needs, and costs were obtained from the Hospital Information Management System (HIMS). Costs were adjusted to 2025 Turkish lira values using the Consumer Price Index and converted to international dollars using purchasing power parity (PPP). Patients were classified by total treatment costs using K-means cluster analysis. Periodontal (61.2%), restorative (36.0%), and endodontic (41.2%) treatment needs, which are largely preventable through oral hygiene practices, were more frequent among patients with a lower mean age, whereas tooth loss and prosthodontic treatment needs (89.6%) increased with mean age. Cluster analysis identified two groups: a low-cost group (67.6%) and a high-cost group (32.4%). The high-cost group had a lower mean age (68.84 ± 4.27 years) compared to the low-cost group (70.73 ± 5.18 years), indicating that relatively younger patients needed more complex and costly treatments. Out-of-pocket payments were notable for prosthodontic and surgical treatments, although Social Security Institution (SSI) payments constituted most of the costs. Preventive and early dental care strategies are essential to reduce treatment complexity and cost burden among older adults within the framework of oral health policy. Full article
(This article belongs to the Special Issue Improving Oral Health for Older Adults)
26 pages, 9275 KB  
Article
High-Resolution Mapping, Attribution, and Carbon Loss Assessment of Forest Disturbances in China’s Critical Regions Using Multi-Source Remote Sensing
by Yifei Cao, Xiaoming Wang, Zhuoyang Han, Chenlan Shi and Hongke Hao
Remote Sens. 2026, 18(12), 1982; https://doi.org/10.3390/rs18121982 (registering DOI) - 14 Jun 2026
Abstract
Forest disturbances significantly affect the terrestrial carbon cycle, yet high-resolution detection, driver attribution, and carbon loss quantification remain challenging in cloudy and complex terrains. Here, we investigated the Northeast China and Southwest Hengduan Mountains forest regions from 2021 to 2024. We developed a [...] Read more.
Forest disturbances significantly affect the terrestrial carbon cycle, yet high-resolution detection, driver attribution, and carbon loss quantification remain challenging in cloudy and complex terrains. Here, we investigated the Northeast China and Southwest Hengduan Mountains forest regions from 2021 to 2024. We developed a Bayesian Model Averaging (BMA) framework integrating multi-source remote sensing (Sentinel-1/2, Landsat 8/9) and multi-algorithm ensembles (LandTrendr, CCDC, 1D-CNN) to extract 10 m disturbance features. Automated driver attribution and carbon loss quantification were achieved utilizing the Fire Information for Resource Management System (FIRMS), Dynamic World, and GEDI L4B LiDAR data. Validation yielded overall spatial accuracies of 91.15% in the Northeast and 89.62% in the Hengduan Mountains, with corresponding ensemble F1-Scores of 0.92 in both regions. Results indicated the disturbed area in the Northeast (1084.58 ha) significantly exceeded the Hengduan region (133.48 ha). Natural degradation dominated both regions (Northeast: 72.25%; Hengduan: 88.43%), though the Northeast experienced more wildfires and anthropogenic activities. Topographically, Northeast disturbances clustered on low-lying, gentle landscapes, whereas Hengduan events occurred on steep, high-altitude terrains. Due to denser per-pixel carbon storage, the Hengduan area exhibited higher carbon emission costs per unit area. Ultimately, this framework provides a quantitative technical foundation supporting high-resolution forest conservation and spatial evaluations for carbon neutrality commitments. Full article
(This article belongs to the Section Forest Remote Sensing)
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25 pages, 5937 KB  
Article
CGSTA-Net: A Cross-Domain Generative Prior-Assisted Structure–Texture Adaptive Network for Remote Sensing Image Dehazing
by Xiaoyan Li, Yankun Zhao and Na Niu
Symmetry 2026, 18(6), 1027; https://doi.org/10.3390/sym18061027 (registering DOI) - 14 Jun 2026
Abstract
Dehazing of images is important for proper interpretation of optical images in remote sensing. However, current dehazing networks tend to have limited receptive field and texture information loss caused by conventional downsampling and complementary cross-domain information not being utilized in dehazing frameworks. In [...] Read more.
Dehazing of images is important for proper interpretation of optical images in remote sensing. However, current dehazing networks tend to have limited receptive field and texture information loss caused by conventional downsampling and complementary cross-domain information not being utilized in dehazing frameworks. In order to cope with these problems, we propose a Cross-domain Generative Prior-assisted Structure–Texture Adaptive Network for remote sensing image dehazing. It is a dual-stream encoder–decoder framework, which enhances the domain-specific information of RGB and generated prior, and then integrates them adaptively for haze-free reconstruction. In order to minimize information loss in downsampling, wavelet pooling is introduced to consider the frequency-aware structural and textural features. Additionally, a Structure–Texture Calibration Block is designed to simultaneously improve the local frequency textures and construct sparse long-range dependencies of structures, so as to achieve better restoration performance under spatially non-uniform haze. To appropriately fuse the various representations from RGB and generated prior images, a Prior-aware Gated Adaptive Fusion module is developed to balance the domain-specific features dynamically and keep the fine details at multi-level feature fusion. Finally, we utilize pixel-level contrastive learning to guide the latent space away from hazy distributions, thus enhancing the discriminability of the features. Extensive experiments on the three datasets, namely RSID, RICE-I and HRSD, demonstrate that CGSTA-Net can effectively restore images under varying haze conditions and significantly outperforms the latest dehazing methods in terms of visual quality and quantitative performance. Specifically, compared with the most effective competitive method, CGSTA-Net increased the PSNR by 22.9% on RSID, by 13.2% on RICE-I, and by 7.2% on HRSD. Full article
(This article belongs to the Section Computer)
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29 pages, 6166 KB  
Article
Quantifying Categorical Information Loss in Forest Compositional Mapping: Implications for the Accuracy of Forest Assessment in Lualaba Province (DR Congo)
by Médard Mpanda Mukenza, John Kikuni Tchowa, Felana Nantenaina Ramalason, Heritier Khoji Muteya, Jan Bogaert, Yannick Useni Sikuzani and Jean-François Bastin
Remote Sens. 2026, 18(12), 1979; https://doi.org/10.3390/rs18121979 (registering DOI) - 14 Jun 2026
Abstract
Forests of Lualaba Province (DR Congo) form a compositionally complex mosaic of dry dense forest, gallery forest, and Miombo woodland. Yet, categorical land-cover maps impose discrete boundaries on these inherently continuous vegetation gradients, systematically discarding subpixel compositional information critical for forest monitoring and [...] Read more.
Forests of Lualaba Province (DR Congo) form a compositionally complex mosaic of dry dense forest, gallery forest, and Miombo woodland. Yet, categorical land-cover maps impose discrete boundaries on these inherently continuous vegetation gradients, systematically discarding subpixel compositional information critical for forest monitoring and carbon accounting. The magnitude of this information loss at the landscape scale, however, remains largely unquantified. In this study, we train a Multi-Output Neural Network (MONN) using Sentinel-2 spectral and textural predictors (2025) to estimate the proportional cover of three forest types across the province. Model performance is benchmarked against a normalised Random Forest (RF) using spatial block cross-validation. Categorical information loss is quantified pixel-wise using two complementary metrics, dominant class proportion and Shannon compositional entropy, alongside a derived interpretive quantity, categorical information loss. The MONN slightly outperformed RF (R2 = 0.648 vs. 0.630; RMSE = 0.224 vs. 0.229), yet the results reveal a fundamentally heterogeneous landscape structure. The mean dominant-class proportion was only 56.2%, indicating that categorical maps discard, on average, 43.8% of compositional information per pixel. Only 7.9% of forested pixels exceeded the 75% dominance threshold, while Shannon entropy reached 74.1% of its theoretical maximum, indicating that forest types coexist in near-equal proportions across most pixels. This renders categorical attribution structurally inadequate for most of the forested landscape. Across 92.1% of forested pixels, no single forest type achieved clear dominance. These results show that compositional mixing is the dominant structural condition of the landscape, and that compositional mapping is essential for representing tropical forest structure in heterogeneous drylands. By formally quantifying categorical information loss at the landscape scale, this study shows that continuous compositional mapping converts this structural ambiguity into a spatially explicit ecological signal, with direct implications for monitoring vegetation dynamics and biodiversity, suggesting a structural source of error in carbon stock estimation in tropical dry forests that warrants empirical validation. Full article
19 pages, 780 KB  
Article
A Physics-Informed Surrogate Model for the Bi-Flux Bevilacqua–Galeão Anomalous Diffusion Equation
by Douglas Ferraz Corrêa, Cláudio Motta Toledo, David A. Pelta and Antônio Silva Neto
Eng 2026, 7(6), 293; https://doi.org/10.3390/eng7060293 (registering DOI) - 14 Jun 2026
Abstract
Accurate modeling of bi-flux anomalous diffusion presents significant computational challenges in engineering. This paper investigates the effectiveness of physics-informed neural networks as surrogate models for the bi-flux anomalous diffusion equation. We investigate one-dimensional linear and nonlinear cases. Optimal hyperparameter configurations are determined using [...] Read more.
Accurate modeling of bi-flux anomalous diffusion presents significant computational challenges in engineering. This paper investigates the effectiveness of physics-informed neural networks as surrogate models for the bi-flux anomalous diffusion equation. We investigate one-dimensional linear and nonlinear cases. Optimal hyperparameter configurations are determined using a modified differential evolution algorithm, guided by an objective function that leverages a combination of loss values. This optimization approach enables a rigorous evaluation of different neural network setups, providing valuable insights and practical guidance for researchers working with bi-flux anomalous diffusion phenomena. A comparison between physics-informed neural networks and conventional multilayer perceptrons is presented for the analyzed model. Finally, the capability of the best-performing models to act as virtual sensors is evaluated. This work provides guidance on the use of neural networks to efficiently and accurately tackle complex bi-flux anomalous diffusion problems, potentially accelerating research and development in fields where such processes are critical. Full article
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32 pages, 8230 KB  
Article
Enabling Net-Zero Operations in Information Infrastructure: A Dynamic Regulatory Analysis Based on Evolutionary Game and System Dynamics
by Handong Tang, Dan Wang, Henry J. Liu and Jianfeng Zhao
Systems 2026, 14(6), 680; https://doi.org/10.3390/systems14060680 (registering DOI) - 13 Jun 2026
Abstract
Information infrastructure is essential for digital transformation and AI-enabled services, but its operation also involves high electricity consumption and carbon emissions. This study develops a tripartite evolutionary game model involving the government, information-infrastructure operators and the public, and integrates it with system dynamics [...] Read more.
Information infrastructure is essential for digital transformation and AI-enabled services, but its operation also involves high electricity consumption and carbon emissions. This study develops a tripartite evolutionary game model involving the government, information-infrastructure operators and the public, and integrates it with system dynamics to examine how regulatory mechanisms influence operators’ net-zero behaviours. The model focuses on operational-stage information infrastructure. Initial parameters are calibrated using the 2023 China Statistical Yearbook on Resources and Environment and expert consultation, with key variables measured by operational revenue, net-zero costs, regulatory costs, incentives, penalties, public scrutiny costs and environmental losses. The results show that operators’ net-zero behaviours may fluctuate under weak or static regulation. Government incentives, penalties and public scrutiny can promote net-zero operations, while dynamic reward–penalty mechanisms are more effective in stabilising behavioural evolution. This study extends evolutionary game theory and system dynamics to the net-zero governance of information infrastructure and provides an adaptive regulatory framework for coordinating government regulation, operator behaviour and public participation. Full article
(This article belongs to the Special Issue Systems Thinking for Real-World Problem Solving)
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18 pages, 2308 KB  
Article
Tempered Enthusiasm: Consumer Perceptions of Autonomous Delivery Services
by Leon Booth, John Nelson, Yuting Zhang, Charles Karl, Anna Anund and Simone Pettigrew
Sustainability 2026, 18(12), 6104; https://doi.org/10.3390/su18126104 (registering DOI) - 13 Jun 2026
Abstract
The rapid growth of online shopping has increased demand for home deliveries, leading to sustainability issues and logistical challenges such as labour shortages and congestion. Autonomous delivery vehicles, including drones, street robots, autonomous vans, and mobile vending machines, are emerging as potential solutions. [...] Read more.
The rapid growth of online shopping has increased demand for home deliveries, leading to sustainability issues and logistical challenges such as labour shortages and congestion. Autonomous delivery vehicles, including drones, street robots, autonomous vans, and mobile vending machines, are emerging as potential solutions. Understanding consumers’ perceptions of these technologies is critical for sustainable implementation. This exploratory study aimed to examine consumer reactions to emerging autonomous delivery services, providing insights into how consumers may respond to autonomous delivery systems encompassing multiple vehicle modes and the resulting policy implications. Eight online focus groups (n = 55) were conducted with a diverse range of participants to examine community attitudes to autonomous delivery services. Participants were shown videos depicting various autonomous delivery methods to foster informed responses. Thematic analysis of the transcripts identified recurring themes relating to participants’ preferences, concerns, and expectations. While participants had some concerns, they were largely receptive to using autonomous delivery services. Positive reactions centred around: (i) convenience, (ii) cost reductions, and (iii) novelty. Identified concerns included: (i) job losses, (ii) practical limitations of the delivery devices, (iii) degradation of urban environments, and (iv) facilitation of unhealthy lifestyles. Overall, the results suggest autonomous delivery systems have the potential to be popular, and proactive government policies are thus likely to be needed to ensure they are implemented in a manner that aligns with community expectations and minimises any negative sustainability outcomes. Full article
32 pages, 11879 KB  
Article
A Physics-Informed Online Learning Framework for Landslide Displacement Prediction
by Jie Zhou, Nengpan Ju, Chaoyang He and Mingli Xie
Appl. Sci. 2026, 16(12), 6003; https://doi.org/10.3390/app16126003 (registering DOI) - 13 Jun 2026
Abstract
Current landslide displacement prediction models often suffer from insufficient integration between physical mechanisms and data-driven approaches, weak model generalizability, and limited operational applicability. To address these issues, this study develops a physics-informed online learning framework for landslide displacement prediction. The core of this [...] Read more.
Current landslide displacement prediction models often suffer from insufficient integration between physical mechanisms and data-driven approaches, weak model generalizability, and limited operational applicability. To address these issues, this study develops a physics-informed online learning framework for landslide displacement prediction. The core of this framework is a Physics-informed Long Short-Term Memory network (Phys-LSTM). By embedding discretized forms of the stress balance, creep constitutive, and kinematic equations as hard constraints into the LSTM’s gating mechanisms and loss function, the model ensures physically consistent predictions and enhanced interpretability throughout the learning process. Leveraging real-time data streams from the Sichuan Provincial Geological Hazard Monitoring and Warning Platform, we developed an online processing pipeline for real-time multi-source data ingestion, automated quality control, spatiotemporal alignment, and physics-informed feature engineering. A progressive three-stage learning algorithm was designed to support model cold-start, incremental training, and rolling prediction. Validation across 45 model-development landslide sites and one independent application case demonstrated the framework’s significant superiority over traditional models in displacement prediction accuracy (RMSE ≤ 1.78 mm, R2 ≥ 0.96), cross-site generalization stability, and its capability to capture accelerated deformation phases. This research indicates that deeply integrating geomechanical prior knowledge into an online learning framework can effectively improve the reliability, interpretability, and operational applicability of landslide displacement prediction models, thereby providing methodological support for subsequent landslide early warning applications. Full article
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22 pages, 2880 KB  
Systematic Review
Real-World Outcomes of Switching to Aflibercept 8 mg in Previously Treated Neovascular Age-Related Macular Degeneration: A Systematic Review and Meta-Analysis
by Abdullah Bousamri, Mohammad Kana’an, Faisal Alharbi and Noor Alqudah
J. Clin. Med. 2026, 15(12), 4599; https://doi.org/10.3390/jcm15124599 (registering DOI) - 13 Jun 2026
Abstract
Background: Neovascular age-related macular degeneration (nAMD) remains a leading cause of irreversible central vision loss. Although anti-vascular endothelial growth factor (anti-VEGF) therapy has transformed management, pivotal trials enrolled exclusively treatment-naïve patients, leaving clinicians without pooled evidence to guide switching decisions in previously [...] Read more.
Background: Neovascular age-related macular degeneration (nAMD) remains a leading cause of irreversible central vision loss. Although anti-vascular endothelial growth factor (anti-VEGF) therapy has transformed management, pivotal trials enrolled exclusively treatment-naïve patients, leaving clinicians without pooled evidence to guide switching decisions in previously treated eyes. This systematic review and meta-analysis assessed real-world visual, anatomical, durability, and safety outcomes following switching to aflibercept 8 mg in previously treated nAMD. Methods: Following PRISMA 2020 guidelines, we searched PubMed, Embase, Web of Science, CENTRAL, Scopus, and Google Scholar through April 2026. Studies reporting switching to aflibercept 8 mg with change in best-corrected visual acuity (BCVA), central subfield thickness (CST), or treatment interval were included. Continuous outcomes were pooled using random-effects models with Hartung–Knapp–Sidik–Jonkman adjustment; proportions were estimated using generalized linear mixed models. Methodological quality was evaluated using the JBI Critical Appraisal Checklist for Case Series. Certainty of evidence was assessed using GRADE. The protocol was registered with PROSPERO (CRD420261371334). Results: Twenty-one studies met inclusion criteria. BCVA remained stable (WMD: −0.017 logMAR; 95% CI: −0.027 to −0.007; +0.83 ETDRS letters; I2 = 0%). CST decreased significantly (WMD: −21.5 µm; 95% CI: −29.3 to −13.7; I2 = 56.0%), and treatment intervals extended by +1.79 weeks (95% CI: +1.32 to +2.27; I2 = 74.3%). Intraretinal and subretinal fluid each resolved in 37.5% of eyes. Intraocular inflammation was rare across 9959 treated eyes, though this pool was not restricted to switched eyes, with no confirmed retinal vasculitis. Sensitivity analyses confirmed robustness across all co-primary estimates. GRADE certainty was low for BCVA and very low for CST and treatment interval. Conclusions: Low-certainty evidence suggests that switching to aflibercept 8 mg preserves visual acuity, while very-low-certainty evidence suggests reductions in central subfield thickness and modest extension of treatment intervals. Intraocular inflammation was rare, though safety denominators included non-switch eyes. These findings provide preliminary pooled estimates to inform switch decisions in previously treated eyes. Full article
(This article belongs to the Section Ophthalmology)
38 pages, 26169 KB  
Article
Uncertainty-Aware Keypoint Guidance and Fractional Fourier Feature Enhancement for Multi-Class SAR Aircraft Detection
by Yu Qiu, Bin Zou, Fangzhou Han, Lamei Zhang and Jordi J. Mallorqui
Remote Sens. 2026, 18(12), 1969; https://doi.org/10.3390/rs18121969 (registering DOI) - 13 Jun 2026
Abstract
Aircraft targets in SAR imagery often exhibit discrete scattering characteristics, significant variations in pose and scale, strong speckle noise in background clutter, and complex background interference, which jointly hinder stable structural feature extraction and accurate target localization. Existing detectors for SAR aircraft recognition [...] Read more.
Aircraft targets in SAR imagery often exhibit discrete scattering characteristics, significant variations in pose and scale, strong speckle noise in background clutter, and complex background interference, which jointly hinder stable structural feature extraction and accurate target localization. Existing detectors for SAR aircraft recognition primarily rely on bounding-box regression and classification; they do not completely exploit target structural cues, spatial attention, and frequency-domain information. To address these limitations, we propose a collaborative detection framework that integrates an uncertainty-aware keypoint-driven module (UAKM) with a fractional Fourier convolution backbone (S-FRConv). UAKM introduces a center-keypoint regression branch that jointly predicts keypoint coordinates and Laplacian scale parameters and employs a 2D Laplace negative log-likelihood loss to estimate uncertainty. The derived dense uncertainty heatmap is then used as spatial attention weights to guide distribution-based regression and multi-scale feature re-weighting, without requiring any additional annotations. S-FRConv embeds the Fractional Fourier Transform into shallow backbone layers and C2f modules, enabling joint spatial–spectral feature modeling that suppresses speckle noise and enhances edge and orientation representations. Experiments on the public SAR-AIRcraft-1.0 dataset demonstrate that the proposed method systematically improves the detection performance. For the Nano model, the overall mAP50 increases from 0.810 to 0.867, and the mAP 50:95 improves from 0.637 to 0.655 compared with the baseline, corresponding to gains of 5.7 and 1.8 percentage points, respectively. These results validate the effectiveness and generalization potential of combining uncertainty-driven spatial attention with fractional spectral feature enhancement for SAR aircraft target detection. Full article
(This article belongs to the Special Issue Object Detection in Remote Sensing Imagery)
21 pages, 530 KB  
Article
Quantization-Error Threshold-Based User Admission for Limited-Feedback MU-MIMO Downlink
by Seojun Kim, Gayoung Keum and Hyukmin Son
Mathematics 2026, 14(12), 2113; https://doi.org/10.3390/math14122113 (registering DOI) - 13 Jun 2026
Abstract
Future wireless systems such as 5G-Advanced and 6G are expected to rely increasingly on multi-user MIMO and distributed multi-antenna transmission, where accurate channel direction information (CDI) is essential for interference management. In limited-feedback downlink systems, however, finite-rate CDI feedback introduces quantization error, resulting [...] Read more.
Future wireless systems such as 5G-Advanced and 6G are expected to rely increasingly on multi-user MIMO and distributed multi-antenna transmission, where accurate channel direction information (CDI) is essential for interference management. In limited-feedback downlink systems, however, finite-rate CDI feedback introduces quantization error, resulting in residual interference and rate loss in zero-forcing beamforming. This paper proposes a quantization-error-threshold-based user admission scheme for limited-feedback MU-MIMO downlink systems. In the proposed scheme, each user feeds back its quantized CDI and channel quality information only when its CDI quantization error is below a predefined threshold, and the base station performs semi-orthogonal user selection and zero-forcing beamforming over the admitted users. The proposed threshold controls the tradeoff between feedback-overhead reduction and candidate-user availability while improving the reliability of the CDI used for precoding. An analytical framework is developed to characterize the threshold-dependent scheduled-user count, ergodic sum-rate, and feedback overhead. Simulation results show that the proposed scheme improves the sum-rate compared with conventional SUS and substantially reduces the feedback overhead, especially as the number of users increases. Full article
23 pages, 1270 KB  
Article
MGDSL: Multimodal Graph Denoising and Self-Supervised Learning for Multimedia Recommendation
by Hongyu Xu, Liye Shi, Pengfei Shao and Yunkai Zhuang
Electronics 2026, 15(12), 2616; https://doi.org/10.3390/electronics15122616 (registering DOI) - 13 Jun 2026
Abstract
Multimedia recommenders can use behavioral records together with visual and textual item information, but unreliable interactions and sparse histories still make user preference modeling difficult. Most graph-based methods propagate messages over observed user–item edges as if all interactions were equally informative, so incidental [...] Read more.
Multimedia recommenders can use behavioral records together with visual and textual item information, but unreliable interactions and sparse histories still make user preference modeling difficult. Most graph-based methods propagate messages over observed user–item edges as if all interactions were equally informative, so incidental or semantically inconsistent behaviors may distort the learned representations. The standard recommendation loss also provides limited context for modeling dependencies within a user’s historical sequence. We propose MGDSL, a MGDSL applies a multimodal-aware topology denoising module to calculate edge reliability weights for historical interactions from collaborative, textual, and visual evidence, and uses these weights for reliability-aware historical aggregation. In parallel, a masked self-supervised auxiliary task reconstructs masked items from sequence context, adding supervision for latent preference learning. Experiments on three benchmark datasets show that MGDSL consistently improves recommendation accuracy over competitive baselines, with particularly clear gains on the sparsest dataset. Full article
(This article belongs to the Section Artificial Intelligence)
168 pages, 1537 KB  
Article
Advanced Statistical Learning: Limit Theorems for Nonparametric Conditional U-Statistics Smoothed by Asymmetric Kernels Under Missing-at-Random Sampling
by Salim Bouzebda
Mathematics 2026, 14(12), 2110; https://doi.org/10.3390/math14122110 (registering DOI) - 12 Jun 2026
Abstract
This paper develops a boundary-sensitive asymptotic theory for nonparametric conditional U-statistics smoothed by support-adapted asymmetric kernels when the response variable is subject to Missing-at-Random observation. The problem lies at the intersection of three well-established but traditionally separate lines of research: conditional U [...] Read more.
This paper develops a boundary-sensitive asymptotic theory for nonparametric conditional U-statistics smoothed by support-adapted asymmetric kernels when the response variable is subject to Missing-at-Random observation. The problem lies at the intersection of three well-established but traditionally separate lines of research: conditional U-statistics, asymmetric smoothing on constrained supports, and incomplete-data inference under MAR sampling. The contribution of the paper is not a novelty claim concerning any of these components in isolation. Rather, it consists in deriving a kernel-specific and MAR-aware limit theory for their simultaneous occurrence, where the estimators are nonlinear complete-case ratios of localized U-statistics and the localization devices are point-dependent approximate identities adapted to the geometry of the covariate support. The analysis covers three principal classes of support-respecting smoothers: Dirichlet kernels on the simplex, Bernstein polynomial smoothers, and multivariate beta kernels on hypercubes, with an additional extension to mixed continuous–categorical regressors. These smoothing schemes are not translation-invariant, and their local moments, effective support, normalizing constants and L2-masses vary with the evaluation point, especially near the boundary. Consequently, their incorporation into conditional U-statistics requires more than a direct transfer of ordinary asymmetric-kernel regression theory. The numerator and denominator of the estimators are localized U-statistics whose stochastic expansions are governed by Hoeffding projections, including canonical components that must be controlled uniformly over the conditioning domain. Under regularity, smoothness and positivity assumptions adapted to the MAR setting, we establish uniform consistency, weak and strong uniform convergence rates, stochastic expansions and asymptotic normality. The results are obtained both on fixed compact subsets and on interior regions approaching the boundary, thereby identifying how support geometry enters the bias and stochastic normalizations. A central feature of the theory is the separation between the deterministic effect of complete-case sampling and its stochastic effect. For the complete-case estimator, the natural deterministic equivalent is obtained by replacing the design density f with the effective complete-case density pf, where p is the propensity score. Thus, the MAR mechanism may enter higher-order deterministic bias constants through the local design tilt, whereas the leading stochastic dispersion reflects the loss of effective information through propensity score factors. The precise variance constants and normalizing rates remain kernel-specific, depending on the local L2-structure of the Dirichlet, Bernstein or beta smoothing device. The paper should therefore be viewed as a MAR extension and refinement of the complete-data asymmetric-kernel conditional U-statistic theory. It provides a common probabilistic architecture for several boundary-adapted smoothing schemes while retaining the kernel-dependent bias operators, variance constants, boundary regimes and Hoeffding-projection structures required for sharp asymptotic interpretation. Numerical experiments illustrate the finite-sample behavior predicted by the theory and highlight the interaction between support-adapted smoothing, boundary effects and incomplete response observation. Full article
(This article belongs to the Section D1: Probability and Statistics)
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17 pages, 921 KB  
Article
The Societal Burden of Breast Cancer in Working-Age Women in Croatia: A Multicentre Cross-Sectional Study
by Vid Duplančić, Ana Bobinac, Luka Vončina, Katarina Hraste, Ana Tečić Vuger, Robert Šeparović and Eduard Vrdoljak
Healthcare 2026, 14(12), 1693; https://doi.org/10.3390/healthcare14121693 (registering DOI) - 12 Jun 2026
Abstract
Background/Objectives: Breast cancer affects working-age women not only through treatment and survival but also through health-related quality of life (HRQoL), work capacity and informal caregiving needs. Evidence from Central and Eastern Europe remains limited. This study estimated the indirect societal burden of breast [...] Read more.
Background/Objectives: Breast cancer affects working-age women not only through treatment and survival but also through health-related quality of life (HRQoL), work capacity and informal caregiving needs. Evidence from Central and Eastern Europe remains limited. This study estimated the indirect societal burden of breast cancer among working-age women in Croatia and reported economic indirect costs separately from monetised HRQoL/welfare loss. Methods: A multicentre cross-sectional study conducted in 2024 included women aged 18–65 years receiving outpatient oncology care at two tertiary centres in Croatia. HRQoL was assessed with the EuroQol five-dimension five-level instrument (EQ-5D-5L) and compared with Croatian general-population norms. Utility decrements were annualised and monetised using a national willingness-to-pay threshold of €17,000 per quality-adjusted life year (QALY). Work productivity impairment was measured using the Work Productivity and Activity Impairment: General Health (WPAI:GH) questionnaire and valued, together with informal care, using the human-capital approach. Deterministic sensitivity analyses and approximate 95% confidence intervals were used to show how the estimates changed under key assumptions. Results: A total of 271 women participated (mean age 51.3 years among age-eligible records). Mean EQ-5D-5L utility was 0.76 versus 0.91 in the general population, corresponding to an annual QALY loss of 0.15 and a monetised HRQoL/welfare loss of €2550 per patient-year (95% CI €2083–€3017). Among employed participants, mean overall work productivity loss was 43.9% (842.9 h/year), equivalent to €7333 annually (95% CI €6311–€8355). Informal caregiving was reported by 54.7% of participants, with mean annual costs of €1566 (95% CI €1269–€1863). Economic indirect costs were €8899 per patient-year (95% CI €7835–€9963). In an extended welfare-inclusive scenario, the estimated burden was €11,449 per patient-year (95% CI €10,287–€12,611), corresponding to an illustrative national estimate of €86 million (95% CI €77–€95 million; 0.11% of gross domestic product). Conclusions: Breast cancer in working-age women imposes a substantial societal burden in Croatia, driven by reduced HRQoL, productivity losses and informal caregiving needs. These findings support taking societal burden into account in public health planning, survivorship care and health policy decision-making. Full article
(This article belongs to the Section Public Health and Preventive Medicine)
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Article
PHM-Net: A Physics-Informed Hierarchical Multi-Scale Network for Automatic Modulation Classification
by Jing Si, Mengfei Yang, Chaowei Tang, Zhuo Zeng, Qingsong Yuan, Liangxuan Wang and Jingwen Lu
Electronics 2026, 15(12), 2611; https://doi.org/10.3390/electronics15122611 (registering DOI) - 12 Jun 2026
Abstract
Automatic Modulation Classification (AMC) is essential for waveform-level signal characterization. It supports spectrum sensing, signal identification, and adaptive resource allocation in cognitive radio and next-generation wireless systems. However, channel impairments such as multipath propagation, frequency offset, fast fading, and noise degrade modulation signatures, [...] Read more.
Automatic Modulation Classification (AMC) is essential for waveform-level signal characterization. It supports spectrum sensing, signal identification, and adaptive resource allocation in cognitive radio and next-generation wireless systems. However, channel impairments such as multipath propagation, frequency offset, fast fading, and noise degrade modulation signatures, making reliable AMC challenging. Existing deep learning-based approaches often rely on purely data-driven learning, leading to insufficient modeling of modulation-relevant features, loss of transient characteristics, and limited exploitation of hierarchical relationships among modulation types. To address these issues, this paper proposes PHM-Net, a physics-informed hierarchical multi-scale network for robust AMC. The model employs a hierarchical backbone with residual encoder blocks. A Transient Feature Gating (TFG) module enhances modulation-relevant representations, a Cross-Resolution Signal Aggregation (CRSA) module fuses multi-stage features, and a Physics-Informed Hierarchical Loss (PI-HL) enforces consistency between coarse- and fine-grained predictions. Experimental results on three benchmark datasets (RML2016.10a, RML2016.10b, and RML2018.01a) show that PHM-Net consistently achieves the highest average accuracy among all compared models. On RML2018.01a, which contains 1024-sample sequences and 24 classes, PHM-Net achieves an average accuracy of 64.59% and a best-case accuracy of 98.42%, surpassing AMC_Net by 11.14 and 17.09 percentage points and CNN-Transformer by 9.43 and 11.15 percentage points, respectively. PHM-Net provides a robust and interpretable solution for AMC under complex channel conditions. Full article
(This article belongs to the Topic AI-Driven Wireless Channel Modeling and Signal Processing)
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