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31 pages, 2488 KB  
Article
Conflict Entropy-Based Optimization of Vehicle Scheduling in Tunnel Traffic Networks
by Yalong Xie, Yuming Liu, Xianhui Nie, Jiaao Guo and Chengfeng Huang
Entropy 2026, 28(7), 728; https://doi.org/10.3390/e28070728 (registering DOI) - 25 Jun 2026
Abstract
Against the backdrop of the advancing Transportation Power Strategy, long and large tunnels face critical challenges in ensuring the safety and efficiency of transportation scheduling due to their harsh environment, complex traffic network, and the need for coordination among multiple types of vehicles. [...] Read more.
Against the backdrop of the advancing Transportation Power Strategy, long and large tunnels face critical challenges in ensuring the safety and efficiency of transportation scheduling due to their harsh environment, complex traffic network, and the need for coordination among multiple types of vehicles. Addressing the shortcomings of existing research—such as the disconnection between path planning and dynamic environments, insufficient coordination between timetables and paths, and incomplete conflict management—this paper constructs a comprehensive optimization model for the scheduling of construction vehicles in tunnel traffic networks. Firstly, integrating the improved social force model with the BPR function, an adaptive social force-BPR path planning model with a collision compensation mechanism is proposed, and the weights of sub-items are optimized using the improved AHP algorithm. Secondly, a constraint system covering paths, spatio-temporal logic, and three types of conflicts (crossing conflicts, head-on conflicts, and congestion conflicts) is established, and a bi-objective function of “minimum total scheduling time” and “minimum number of conflicts” is designed. Combined with the improved NSGA-II algorithm, the collaborative optimization of departure intervals and paths is realized. In particular, a conflict entropy repair operator is introduced to quantify the conflict chaos through node conflict entropy and vehicle conflict entropy, and the scheduling strategy is accurately adjusted based on the logic of “priority ranking-dynamic delay” to balance conflict resolution and efficiency loss. Finally, a case verification is carried out relying on a tunnel topological network with 30 nodes and 41 edges. The experimental results show that the optimal repulsion coefficient kf of the social force model is 20, and the maximum departure interval of 8 min is the best configuration after introducing the repair operator. At this time, the total scheduling time is 136 min, and the total number of conflicts is only 2, completely avoiding high-risk head-on conflicts and congestion conflicts. The research outputs a vehicle scheduling scheme, enriches the theory of tunnel traffic scheduling, and provides scientific and feasible technical support for the coordinated scheduling of construction vehicles in long and large tunnels. Full article
(This article belongs to the Section Multidisciplinary Applications)
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15 pages, 2128 KB  
Article
Cloud-Based Fusion of Sentinel-1 Radar, MODIS and Soil Moisture Data for Resolution-Refined Evapotranspiration Mapping in Mountain Coffee Systems
by Gustavo Klinke Neto, Anna Hoffmann Oliveira, Édson Luis Bolfe, Ivan Bergier and Antonio José Homsi Goulart
Sustainability 2026, 18(13), 6473; https://doi.org/10.3390/su18136473 (registering DOI) - 25 Jun 2026
Abstract
Accurate monitoring of hydrological dynamics in complex perennial landscapes is a cornerstone for tropical agricultural sustainability. Traditional energy balance models based on orbital optical data often face methodological bottlenecks due to cloud cover and the “greening myth,” where optical indices fail to capture [...] Read more.
Accurate monitoring of hydrological dynamics in complex perennial landscapes is a cornerstone for tropical agricultural sustainability. Traditional energy balance models based on orbital optical data often face methodological bottlenecks due to cloud cover and the “greening myth,” where optical indices fail to capture immediate water stress due to the non-linear decoupling between stomatal closure and pigment loss. This study developed a cloud-integrated multisensor framework to estimate actual evapotranspiration (ETa) at a refined 100 m resolution in mountain coffee systems, utilizing active microwave proxies from Sentinel-1. We fused polarimetric metrics—Degree of Polarization (DoP) and Shannon Entropy (SE)—with land surface temperature and soil moisture data. Multiple Linear Regression (MLR) was compared against non-linear algorithms (Random Forest and SVR) to prioritize model parsimony and physical interpretability. The results show that MLR emerged as the most parsimonious and suitable model within this localized dataset scope (R2 = 0.872; RMSE = 2.916 mm/8-day), outperforming complex “black-box” architectures. Soil moisture emerged as the dominant environmental driver of ETa variability, while SAR-based metrics served as sensitive mechanical proxies for canopy geometric heterogeneity and macro-structural variations. Cross-correlation analysis revealed a 16-day lag, empirically indicating that biophysical water shifts temporally precede geometric canopy alterations. Operationally, this framework ensures temporal continuity under persistent cloud cover and provides high-fidelity spatial detailing for precision water management. This approach offers an auditable and scalable tool for watershed planning and climate resilience in tropical agriculture. Full article
(This article belongs to the Special Issue Agrometeorology Research for Sustainable Development Goals)
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32 pages, 2844 KB  
Article
Robust Tilapia Disease Diagnosis Based on Prompt-Enhanced Segment Anything Model and Neuro-Fuzzy Inference
by Yicheng Gao and Guofu Feng
Appl. Sci. 2026, 16(13), 6359; https://doi.org/10.3390/app16136359 (registering DOI) - 25 Jun 2026
Abstract
Diagnosing tilapia diseases in complex aquaculture environments is severely hindered by noisy backgrounds and limited high-quality pathological data. To overcome these bottlenecks, this study presents a two-stage diagnostic framework integrating an enhanced Segment Anything Model (SAM) with an Adaptive Neuro-Fuzzy Inference System (ANFIS). [...] Read more.
Diagnosing tilapia diseases in complex aquaculture environments is severely hindered by noisy backgrounds and limited high-quality pathological data. To overcome these bottlenecks, this study presents a two-stage diagnostic framework integrating an enhanced Segment Anything Model (SAM) with an Adaptive Neuro-Fuzzy Inference System (ANFIS). In the first stage, SAM is augmented with a Convolutional Block Attention Module (CBAM) feature adapter and a Region Proposal Network (RPN)-based prompt encoder. This design enables the automated and precise extraction of irregular disease lesions by self-generating spatial prompts, thereby isolating water background noise. In the second stage, clinical color features extracted from the lesion masks are classified using ANFIS. To optimize performance on small-scale datasets, ANFIS parameters are trained via Particle Swarm Optimization (PSO) under a numerically stable One-vs-Rest (OvR) binary cross-entropy loss. Validated on the public dataset “Enhancing Disease Detection in Nile Tilapia”, our method delivers an average segmentation Dice coefficient of 86.2% and a classification accuracy of 93.5%. This hybrid approach demonstrates strong potential as a foundational baseline for the automated monitoring of aquaculture diseases. Full article
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28 pages, 3510 KB  
Article
A Multidimensional Decision-Support Framework for Software Quality Assessment in Agile Projects
by Nurdan Canbaz Horozlu and Tacha Serif
Information 2026, 17(7), 624; https://doi.org/10.3390/info17070624 (registering DOI) - 24 Jun 2026
Abstract
Software quality assessment in agile projects remains fragmented. Technical, process-related, and team-related indicators are often evaluated through separate models, tools, and reports. This fragmentation limits cross-project comparability and weakens evidence-based decisions for software quality improvement. To address this problem, this study proposes the [...] Read more.
Software quality assessment in agile projects remains fragmented. Technical, process-related, and team-related indicators are often evaluated through separate models, tools, and reports. This fragmentation limits cross-project comparability and weakens evidence-based decisions for software quality improvement. To address this problem, this study proposes the Overall Software Quality Index (OSQI), a multidimensional decision-support framework for software quality assessment in agile projects. OSQI integrates code quality, process quality, and team quality into a single project-level assessment model. The framework was initially grounded in ISO/IEC 25010:2011 and is discussed in relation to the ISO/IEC 25010:2023 revision, particularly its explicit inclusion of Safety as a product quality characteristic. Since the industrial datasets used in this study were not collected from safety-critical systems, Safety was not modeled as a separate OSQI dimension in the current version; instead, it is addressed as a scope limitation and future extension. The measurement structure was defined using the Goal–Question–Metric (GQM) approach. An initial set of 49 candidate metrics was reduced to 15 core indicators. This reduction was performed using dimension-specific strategies: Random Forest-based feature importance for code quality, Delphi and Analytic Hierarchy Process (AHP) for process quality, and thematic consolidation for team quality. The selected indicators were normalized and integrated through entropy-based weighting. This process generates an interpretable composite quality score. The main contribution of OSQI is not the isolated use of these methods, but their integration into a reproducible and tool-supported framework. The framework converts heterogeneous software engineering signals into a unified decision-support index. OSQI was evaluated using industrial agile project data. The data included static code analysis outputs, issue-tracking records, team assessment results, and product outcome indicators. In an exploratory validation across five industrial projects, OSQI showed a strong positive association with Net Promoter Score (r=0.97, p=0.0076) and a strong negative association with churn rate (r=0.97, p=0.0061). A supporting software tool was also developed to automate data integration, score calculation, visualization, and project-level comparison. The findings suggest that OSQI can support quality monitoring, project benchmarking, and evidence-based improvement decisions in agile software engineering contexts. Full article
(This article belongs to the Special Issue Optimization and Methodology in Software Engineering, 2nd Edition)
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39 pages, 4730 KB  
Article
EEG Slope Entropy and Affective Self-Report Fusion for Cognitive Workload Classification: A Multi-Stage Pipeline with Explainable AI Evaluation
by Mahdy Kouka and Bujar Raufi
BioMedInformatics 2026, 6(4), 38; https://doi.org/10.3390/biomedinformatics6040038 (registering DOI) - 23 Jun 2026
Abstract
Classifying cognitive workload (CWL) from neurophysiological signals remains a central challenge in affective computing. We present a multi-stage pipeline fusing EEG Slope Entropy (SlpEn; M=3, δ=0.001, γ=1.0, 1-s window) on [...] Read more.
Classifying cognitive workload (CWL) from neurophysiological signals remains a central challenge in affective computing. We present a multi-stage pipeline fusing EEG Slope Entropy (SlpEn; M=3, δ=0.001, γ=1.0, 1-s window) on the DEAP corpus, evaluating five affective dimensions (Valence, Arousal, Dominance, Liking, Familiarity) individually and across all ten pairwise combinations. Random Forest (RF) and XGBoost classifiers were assessed with 5-fold stratified cross-validation on a binary HIGH/LOW CWL task derived from a disjunctive threshold rule over Arousal and Dominance. Results are, therefore, reported separately for rule-constituentand non-constituent features. Arousal (RF: 81.48%, AUC: 0.896) and Dominance (71.64%, AUC: 0.811) attain the highest apparent accuracies but largely reconstruct the labelling rule. Among non-constituent dimensions, Valence is the strongest legitimate predictor (RF: 64.14%, AUC: 0.684), followed by Liking (58.75%) and Familiarity (57.93%). Slope entropy adds 3.6–4.1 pp over the strongest affective baselines and up to 23.4 pp over the SlpEn-alone baseline, with complete insensitivity to blend weighting. The Arousal + Dominance pair (RF: 99.84%, AUC: 1.000) fully reconstructs the rule and is excluded from substantive interpretation. Valence + Arousal reaches 87.27% but remains partially rule-inflated. All results are reported as mean with 95%. Full article
26 pages, 29473 KB  
Article
Cross-Modal Degradation Rivalry for Self-Supervised Structural Fatigue Health Monitoring
by Tianbao Nie, Yu Yang and Xiang Li
Mathematics 2026, 14(13), 2245; https://doi.org/10.3390/math14132245 (registering DOI) - 23 Jun 2026
Abstract
Fatigue health monitoring of engineering structures requires continuous degradation assessment, yet ground-truth health labels are unavailable during run-to-failure tests. Existing self-supervised approaches rely on monotonic degradation assumptions that are violated by the structured non-monotonic behaviour of acoustic emission signals during fatigue. A self-supervised [...] Read more.
Fatigue health monitoring of engineering structures requires continuous degradation assessment, yet ground-truth health labels are unavailable during run-to-failure tests. Existing self-supervised approaches rely on monotonic degradation assumptions that are violated by the structured non-monotonic behaviour of acoustic emission signals during fatigue. A self-supervised framework called Cross-Modal Degradation Rivalry (CMDR) is proposed, which introduces the Modal Rivalry Index (MRI) as a directional measure of cross-modal predictability between heterogeneous sensor modalities. CMDR comprises a label-free representation-learning stage trained via the Cross-Modal Prediction Asymmetry (CMPA) pretext task, followed by a lightweight supervised stage that maps MRI features to scalar health indicators (HIs) using normalised lifecycle labels. The MRI is conceptually related, under the stated assumptions only loosely met in practice, to the Transfer Entropy difference between sensor latent channels. Experiments on a structural fatigue dataset with seven specimens under two loading conditions demonstrate that CMDR achieves competitive trendability and prognosability, as well as the lowest remaining useful life (RUL) error in three of four scenarios. RUL evaluations are additionally repeated under a fully online estimator that uses only training specimens. A strictly inductive ablation that re-pre-trains the self-supervised stage within each leave-one-specimen-out fold confirms a bounded transductive-vs-inductive gap, and CMDR remains the best against three further self-supervised baselines on the within-condition and mixed-condition scenarios. Ablation studies confirm the necessity of directional asymmetry, bottleneck architecture, and momentum-updated target encoders. Full article
11 pages, 588 KB  
Article
Behavioral Complexity in Alzheimer’s Disease: A Diversity-Based Analysis of Neuropsychiatric Symptoms
by YoungSoon Yang and Yong Tae Kwak
Brain Sci. 2026, 16(7), 659; https://doi.org/10.3390/brainsci16070659 (registering DOI) - 23 Jun 2026
Abstract
Background and Objectives: To quantify behavioral complexity in probable Alzheimer’s disease (AD), compare complexity phenotypes, and determine whether behavioral complexity provides clinically meaningful information beyond total neuropsychiatric burden. We also explored whether global amyloid extent and lobar amyloid topography added explanatory value. [...] Read more.
Background and Objectives: To quantify behavioral complexity in probable Alzheimer’s disease (AD), compare complexity phenotypes, and determine whether behavioral complexity provides clinically meaningful information beyond total neuropsychiatric burden. We also explored whether global amyloid extent and lobar amyloid topography added explanatory value. Methods: In this cross-sectional retrospective study, we analyzed 245 psychotropic drug-naïve patients with probable AD, positive 18F-FC119S amyloid positron emission tomography (PET), and complete neuropsychiatric, cognitive, functional, and regional PET data. Behavioral complexity was derived from 12 Korean Neuropsychiatric Inventory domains using symptom count, normalized Shannon entropy of the frequency × severity profile, and a composite index. Patients were classified into tertiles. Multivariable regression and burden-stratified analyses examined associations with cognition, dementia severity, function, and amyloid measures. Results: Higher behavioral complexity was associated with lower Korean Mini-Mental State Examination (K-MMSE) scores and higher Clinical Dementia Rating (CDR) and Global Deterioration Scale (GDS) stages. In multivariable analysis, higher CDR, higher GDS, and lower Barthel Index independently predicted greater complexity, whereas amyloid extent did not. After adjustment for total neuropsychiatric burden, higher CDR remained independently associated with the composite complexity index and normalized entropy, while amyloid extent remained non-significant. Complexity-related clinical differences were most evident in the lowest burden stratum and attenuated at higher burden levels. Regional amyloid analyses yielded only selective signals. Conclusions: Behavioral complexity is a clinically meaningful neuropsychiatric phenotype in AD. Although strongly related to total neuropsychiatric burden, it is not fully reducible to it, with its clearest independent association seen for global dementia severity, particularly at lower overall burden. Full article
(This article belongs to the Section Behavioral Neuroscience)
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17 pages, 320 KB  
Article
Information Geometry and Asymptotic Theory for SMML Estimators
by Enes Makalic and Daniel F. Schmidt
Entropy 2026, 28(6), 713; https://doi.org/10.3390/e28060713 (registering DOI) - 22 Jun 2026
Viewed by 124
Abstract
Strict minimum message length (SMML) is an information-theoretic coding principle that represents a continuous statistical model by a finite set of assertions and a partition of the sample space. We show that the SMML objective decomposes into assertion entropy and conditional cross-entropy, balancing [...] Read more.
Strict minimum message length (SMML) is an information-theoretic coding principle that represents a continuous statistical model by a finite set of assertions and a partition of the sample space. We show that the SMML objective decomposes into assertion entropy and conditional cross-entropy, balancing the cost of identifying an assertion against the cost of encoding data under the assigned model. For any fixed partition, the optimal codepoint for each cell is the model distribution that minimises Kullback–Leibler (KL) divergence from the data distribution restricted to that cell. Using the local Fisher–Rao geometry of regular parametric models, we show that, under a high-resolution LAN-scale regime, SMML partitions are asymptotically the pullback, through the maximum-likelihood estimator, of weighted Fisher–Rao Voronoi tessellations in parameter space, with assertion probabilities appearing as additive weights. For regular canonical exponential families, SMML codepoints satisfy a moment-matching condition and admit an interpretation as KL/Bregman centroids, while exact SMML cells are pullbacks of convex polyhedra in sufficient-statistic space. Together, these results show that SMML induces a natural information-geometric quantisation linking entropy-based coding, KL projection, and divergence-based Voronoi geometry. Full article
(This article belongs to the Section Information Theory, Probability and Statistics)
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34 pages, 5902 KB  
Review
Dimensioning of Sustainable Project Management in Productive Sectors, Their Strategic Alignment, Emerging Practices and Implementation Tensions
by Daniel Mateo Garzón-Agudelo, Jorge Andrés Sarmiento-Rojas and Milton Januario Rueda-Varón
Sustainability 2026, 18(12), 6363; https://doi.org/10.3390/su18126363 (registering DOI) - 22 Jun 2026
Viewed by 213
Abstract
Although sustainability has consolidated as a central criterion of value and performance in project management, a deep gap persists between its conceptual recognition and its effective application, making it difficult to structure and measure its real scope. Faced with this complexity, this study [...] Read more.
Although sustainability has consolidated as a central criterion of value and performance in project management, a deep gap persists between its conceptual recognition and its effective application, making it difficult to structure and measure its real scope. Faced with this complexity, this study aims to dimension sustainable project management in productive sectors by analyzing its strategic alignment and operational trends. Methodologically, the research relies on a meta-aggregative review of 124 articles, integrating qualitative synthesis with quantitative structural analysis to decipher how the field is operationalized. Qualitatively, the results reveal that sustainability redefines project success, shifting toward the integral generation of long-term economic, social, and environmental value, contingent upon its anchoring in corporate strategy, governance, and the project lifecycle. However, quantitative analysis exposes an inherent thematic multidimensionality. The Latent Dirichlet Allocation (LDA) model identifies multiple simultaneous dimensions (entropy = 0.74), and the Principal Component Analysis (PCA) explains 27.24% of the cumulative variance. While these values align with the standard benchmarks for high-dimensional textual data, they empirically represent a highly complex and distributed knowledge structure rather than a unified theoretical framework. Consequently, while consolidated nuclei exist around management and governance, critical empirical gaps persist regarding risk integration, performance metrics, and, particularly, the circular economy. It is concluded that, although the discipline enjoys high theoretical legitimacy and growing measurement capabilities, its integration into operational decision-making remains partial. The ultimate challenge lies in articulating conceptual knowledge, tangible metrics, and strategic governance, ensuring that sustainability evolves from a declarative ideal into the inescapable, cross-cutting operational framework of project management. Full article
(This article belongs to the Special Issue Innovation in Project Management Towards Sustainability)
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24 pages, 10285 KB  
Article
Intelligent Veterinary Disease Management Driven by Knowledge Graph for Conservation Breeding of Captive Forest Musk Deer
by Dequan Guo, Xin Fan, Zijie Lan, Chengli Zheng, Dapeng Zhang, Zhenyu Wang and Minyao Tan
Vet. Sci. 2026, 13(6), 602; https://doi.org/10.3390/vetsci13060602 (registering DOI) - 21 Jun 2026
Viewed by 98
Abstract
In artificial breeding of forest musk deer (Moschus berezovskii), common diseases such as abscess, enteritis, pneumonia, and parasitic infections exhibit persistently high morbidity rates. The early symptoms of certain diseases are often insidious and difficult to discern. Conventional manual inspection routines not only [...] Read more.
In artificial breeding of forest musk deer (Moschus berezovskii), common diseases such as abscess, enteritis, pneumonia, and parasitic infections exhibit persistently high morbidity rates. The early symptoms of certain diseases are often insidious and difficult to discern. Conventional manual inspection routines not only fail to achieve accurate diagnosis but also frequently disturb the animals, induce stress responses, and consequently delay optimal treatment windows. To address this practical challenge, this study employs an improved BRW-GPLinker joint entity-relationship extraction approach to perform integrated extraction and structural organization of disease entities, symptom manifestations, etiological associations, and preventive and therapeutic measures from farming literature and clinical records, thereby constructing a disease knowledge graph for forest musk deer. Through the introduction of a Boundary-Aware Module for refined entity boundary detection, a Relative Distance Bias Module to mitigate pairing errors in dense contexts, and a Weighted Sparse Multi-label Cross-Entropy loss function to enhance recall for infrequent relations, the proposed model achieves an F1 score of 0.887 on a self-constructed dataset and demonstrates favorable generalization capability on medical-domain datasets. By transforming fragmented clinical logs and manuals into structured medical associations, this knowledge graph facilitates rapid retrieval of forest musk deer disease information, thereby enhancing veterinary decision-making efficiency and assisting forest musk deer health management. Full article
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27 pages, 4850 KB  
Article
Ecosystem Health Assessment of the Liaohe Estuary Suaeda heteroptera Wetland Based on a Coupled PSR–Entropy Weight–PLSR Model
by Shupan Lv, Haixia Sun, Wenbo Qi, Jiawei Lv, Xinzhu Zhang, Zihao Zhang, Ming Liu, Yan Zhang, Quan Liu and Rui Yan
Sustainability 2026, 18(12), 6308; https://doi.org/10.3390/su18126308 (registering DOI) - 18 Jun 2026
Viewed by 340
Abstract
The Suaeda heteroptera wetland in the Liaohe Estuary is a typical coastal wetland in northern China. This study presents a coupled PSR–entropy–PLSR model to assess ecosystem health and its driving factors, using long-term Landsat data from 1995 to 2024. The results show that [...] Read more.
The Suaeda heteroptera wetland in the Liaohe Estuary is a typical coastal wetland in northern China. This study presents a coupled PSR–entropy–PLSR model to assess ecosystem health and its driving factors, using long-term Landsat data from 1995 to 2024. The results show that the Ecosystem Health Index (EHI) dropped from 0.61 in 1995 to 0.20 in 2010, and then rebounded to 0.66 in 2024. The PLSR analysis identified four key drivers: Suaeda heteroptera carbon storage, mean patch area, aquaculture development intensity, and vegetation recovery rate. The simplified PLSR model constructed using these indicators achieved a cross-validation R2 of 0.967. This coupled model provides a simple, efficient, and reliable method for the rapid assessment and long-term monitoring of coastal wetland ecosystem health. Full article
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22 pages, 549 KB  
Article
Learning from Crowds Using a Focal Loss Function: Dealing with Imbalanced Annotations
by Julian Gil-Gonzalez, David Augusto Cárdenas-Peña, Alvaro Orozco-Gutiérrez, Enrique D. Guijarro-Estelles and Andres M. Álvarez-Meza
Technologies 2026, 14(6), 370; https://doi.org/10.3390/technologies14060370 - 17 Jun 2026
Viewed by 136
Abstract
Obtaining high-quality labeled data for supervised learning is costly, motivating the use of crowdsourcing, which distributes the annotation process across multiple workers with varying levels of expertise. A key challenge in crowdsourced data is annotation sparsity, as each worker labels only a limited [...] Read more.
Obtaining high-quality labeled data for supervised learning is costly, motivating the use of crowdsourcing, which distributes the annotation process across multiple workers with varying levels of expertise. A key challenge in crowdsourced data is annotation sparsity, as each worker labels only a limited subset of instances. This sparsity can amplify class imbalance, reduce supervision for minority classes, and bias standard cross-entropy-based models toward the majority classes. To address this problem, we propose a correlated chained Gaussian process framework trained on a focal-loss-based variational objective (CCGPFL). This probabilistic framework jointly models latent ground-truth and instance-dependent annotator reliability while accounting for correlations among annotators. In addition, the focal-weighted objective mitigates the imbalance induced by sparse annotations by assigning greater importance to harder examples during training. Experiments on synthetic, semi-synthetic, and fully real multi-annotator datasets show that CCGPFL achieves competitive and often superior performance relative to state-of-the-art learning-from-crowds baselines in terms of Overall Accuracy (OA) and Area Under the ROC Curve (AUC). Full article
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20 pages, 6237 KB  
Article
Belief-Guided Homeostatic Estimation for Regime Adaptation in Multi-Layer Industrial Network Scheduling
by Wei Xu, Yi Wan and T. Zuo
Algorithms 2026, 19(6), 487; https://doi.org/10.3390/a19060487 - 17 Jun 2026
Viewed by 181
Abstract
Scheduling in multi-layer industrial networks must remain stable even when the feedback mechanism of the environment changes inside a single production episode. The system can switch between a step-continuous regime with dense process feedback and a task-driven regime with sparse milestone feedback, so [...] Read more.
Scheduling in multi-layer industrial networks must remain stable even when the feedback mechanism of the environment changes inside a single production episode. The system can switch between a step-continuous regime with dense process feedback and a task-driven regime with sparse milestone feedback, so that the same state requires different behaviour before and after the switch. A regime-oblivious policy may therefore optimise the wrong action preference after a switch. We formulate this setting as a mode-switched multi-industrial-chain Markov decision process (MS-MIC-MDP) and prove that a single fixed action preference is necessarily suboptimal in at least one regime. We then propose BHERA, a belief-guided homeostatic estimation framework for regime adaptation. BHERA builds cross-layer representations, performs structured variational inference of slow and fast latent beliefs, estimates the posterior probability of the task-driven regime, and uses that posterior to regulate sample weights, entropy strength, return-prediction emphasis, and latent information capacity. A homeostatic feedback rule on the Kullback–Leibler (KL) divergence keeps the latent representation informative without allowing uncontrolled information growth, and we analyse it as a two-timescale stochastic approximation with an associated convergence argument and a per-iteration complexity bound. Experiments in a multi-layer industrial scheduling simulator show that BHERA achieves higher return, lower cost, and higher utility than CReSCENT, HiTAC-MuSE, Informed Switching, and WToE across all tested perturbations, with paired statistical tests confirming significance. Expanded ablations and parameter-sensitivity studies confirm the importance of regime belief, regime-balanced weighting, bootstrap prediction, homeostatic capacity control, and the dual-timescale latent split. Full article
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32 pages, 1930 KB  
Article
Maximum Entropy Identification of Latent Financing Flows in Corporate Balance Sheets: Cross-Sectoral Panel Evidence
by Sunnatov Yusuf Usmonovich
J. Risk Financial Manag. 2026, 19(6), 439; https://doi.org/10.3390/jrfm19060439 - 17 Jun 2026
Viewed by 189
Abstract
Corporate balance sheets report aggregate equity and liability totals but conceal the internal allocation of financing sources across asset categories—an identification problem that conventional econometric methods cannot resolve without additional parametric assumptions. This paper develops a maximum entropy (ME) panel estimator to recover [...] Read more.
Corporate balance sheets report aggregate equity and liability totals but conceal the internal allocation of financing sources across asset categories—an identification problem that conventional econometric methods cannot resolve without additional parametric assumptions. This paper develops a maximum entropy (ME) panel estimator to recover two latent scalar parameters: x ∈ (0,1), the share of equity capital directed toward long-term asset financing, and y ∈ (0,1), the corresponding debt allocation share. Grounded in maximum entropy principle, the estimator selects the unique parameter vector that satisfies the mean-level balance-sheet constraint while maximising joint Shannon entropy—the least-biassed solution consistent with observable data. The closed-form logistic representation yields a scalar Lagrange multiplier λ*, interpreted as a financing pressure index, recoverable via bisection in at most 21 iterations at tolerance ε = 10−5. Building on the ME estimates, we introduce a continuous matching alignment index M* = x* − y* that measures the degree of compliance with the financial matching principle along a continuous spectrum rather than as a binary categorisation. Applied to a ten-firm, cross-sectoral panel spanning Technology, Finance, Energy, and Automotive sectors over an observation window spanning 2001 to 2025 (with firm-specific subperiods reflecting differences in IPO dates and data availability), the framework reveals substantial heterogeneity in latent financing flows: equity allocation shares range from 30.1% (NVIDIA) to 75.1% (ExxonMobil), while debt allocation shares span 37.1% to 77.5%. Across the panel, only Meta exhibits substantial positive matching alignment, while Microsoft, ExxonMobil, Apple, and Tesla show only very slight differences that fall within the neutral band, and the remaining firms show varying degrees of structural departure from the matching benchmark; the thresholds used to summarise these descriptive labels are interpretive aids rather than re-imposed binary criteria, and the substantive ranking of firms along M* does not depend on the specific threshold values adopted. The ME solution’s entropy H(x*, y*) and the normalised diversification index D(x*, y*) describe allocation balance under the estimator’s information–theoretic criterion rather than independently observed firm complexity; in the present sample, the cross-firm ordering of these values is not recovered by firm size, leverage, or sector classification alone. These findings, based on a ten-firm case-study panel with time-invariant allocation parameters, should be interpreted as descriptive patterns of the present sample rather than statistically validated regularities. They provide a theoretically rigorous and computationally tractable identification of unobservable corporate financing flows, with potential implications for capital structure theory, financial risk assessment, and balance sheet analysis that would benefit from validation on larger and more representative samples in future work. Full article
(This article belongs to the Special Issue Mathematical Modelling in Economics and Finance)
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20 pages, 9722 KB  
Article
Single-Photon Depth Reconstruction at Low Signal-Background Ratio Based on Four-Dimensional Attention Mechanism
by Senlin Feng, Tong Liu, Jianghua Cheng, Bang Cheng, Yahui Cai and Yunwang Zhang
Remote Sens. 2026, 18(12), 2006; https://doi.org/10.3390/rs18122006 (registering DOI) - 16 Jun 2026
Viewed by 125
Abstract
Single-photon Light Detection and Ranging (LiDAR), which is capable of detecting single-photon signals, has developed rapidly in the field of long-range imaging. Due to the long detection range and limited laser power, the accumulated signal photons of single-photon LiDAR are extremely sparse. Meanwhile, [...] Read more.
Single-photon Light Detection and Ranging (LiDAR), which is capable of detecting single-photon signals, has developed rapidly in the field of long-range imaging. Due to the long detection range and limited laser power, the accumulated signal photons of single-photon LiDAR are extremely sparse. Meanwhile, the dark current counts, backscattering noise, and background noise of the single-photon detector are significant, resulting in an extremely low signal-background ratio of the detection data. However, existing algorithms struggle to accomplish the depth reconstruction on data with extremely low signal-to-background ratio (SBR). To address the challenges of complex spatiotemporal correlation and feature sparsity in long-range single-photon imaging depth reconstruction, we design a deep reconstruction algorithm based on a classification formulation, specifically tailored for single-echo detection scenarios. We propose a wavelet denoising preprocessing module and a four-dimensional attention module to learn the spatiotemporal correlations of the photon-counting cube data. Sawtooth-arranged dilated convolutions are utilized during the pixel-wise denoising process to extract sparse features, and non-local total variation regularization combined with cross-entropy is introduced as a joint loss function. For depth reconstruction of data with an SBR of 1:100, the root-mean-square error is less than 0.022 m, which is 66.72% lower than that of the best baseline algorithm. It also achieves promising depth reconstruction results on data with an SBR of 1:300. Full article
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