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22 pages, 4042 KiB  
Article
Advanced Predictive Analytics for Fetal Heart Rate Variability Using Digital Twin Integration
by Tunn Cho Lwin, Thi Thi Zin, Pyke Tin, Emi Kino and Tsuyomu Ikenoue
Sensors 2025, 25(5), 1469; https://doi.org/10.3390/s25051469 - 27 Feb 2025
Abstract
Fetal heart rate variability (FHRV) is a critical indicator of fetal well-being and autonomic nervous system development during labor. Traditional monitoring methods often provide limited insights, potentially leading to delayed interventions and suboptimal outcomes. This study proposes an advanced predictive analytics approach by [...] Read more.
Fetal heart rate variability (FHRV) is a critical indicator of fetal well-being and autonomic nervous system development during labor. Traditional monitoring methods often provide limited insights, potentially leading to delayed interventions and suboptimal outcomes. This study proposes an advanced predictive analytics approach by integrating approximate entropy analysis with a hidden Markov model (HMM) within a digital twin framework to enhance real-time fetal monitoring. We utilized a dataset of 469 fetal electrocardiogram (ECG) recordings, each exceeding one hour in duration, to ensure sufficient temporal information for reliable modeling. The FHRV data were preprocessed and partitioned into parasympathetic and sympathetic components based on downward and non-downward beat detection. Approximate entropy was calculated to quantify the complexity of FHRV patterns, revealing significant correlations with umbilical cord blood gas parameters, particularly pH levels. The HMM was developed with four hidden states representing discrete pH levels and eight observed states derived from FHRV data. By employing the Baum–Welch and Viterbi algorithms for training and decoding, respectively, the model effectively captured temporal dependencies and provided early predictions of the fetal acid–base status. Experimental results demonstrated that the model achieved 85% training and 79% testing accuracy on the balanced dataset distribution, improving from 78% and 71% on the imbalanced dataset. The integration of this predictive model into a digital twin framework offers significant benefits for timely clinical interventions, potentially improving prenatal outcomes. Full article
(This article belongs to the Special Issue Biomedical Sensing and Bioinformatics Processing)
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<p>The internal monitored beat per minute (bpm) data during delivery time.</p>
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<p>Integration of physical and virtual world for maternal–fetal care.</p>
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<p>The step-by-step approach of predictive analytics.</p>
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<p>Flowchart of removing noise bpm.</p>
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<p>The bpm plot of FHR before and after preprocessing. (<b>a</b>) The original bpm plot of FHR directly received from electrode. (<b>b</b>) The cleaned bpm data after preprocessing.</p>
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<p>The detected downward beat of FHR data.</p>
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<p>The flowchart of the HMM construction.</p>
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<p>ApEn of FHRV during delivery time. (<b>a</b>) ApEn during downward beat (Parasympathetic). (<b>b</b>) ApEn during non-downward beat (Sympathetic).</p>
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<p>Scatter plots of ApEn and pH values for (<b>a</b>) parasympathetic and (<b>b</b>) sympathetic activity.</p>
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<p>Dataset distribution across each hidden class.</p>
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24 pages, 399 KiB  
Article
Market Regime Identification and Variable Annuity Pricing: Analysis of COVID-19-Induced Regime Shifts in the Indian Stock Market
by Mohammad Sarfraz, Guglielmo D’Amico and Dharmaraja Selvamuthu
Math. Comput. Appl. 2025, 30(2), 23; https://doi.org/10.3390/mca30020023 - 27 Feb 2025
Viewed by 21
Abstract
Understanding how crises like the COVID-19 pandemic affect variable annuity pricing is crucial, especially in emerging markets like India. The motivation is that financial stability and risk management in these markets depend heavily on accurate pricing models. While prior research has primarily focused [...] Read more.
Understanding how crises like the COVID-19 pandemic affect variable annuity pricing is crucial, especially in emerging markets like India. The motivation is that financial stability and risk management in these markets depend heavily on accurate pricing models. While prior research has primarily focused on Western markets, there is a significant gap in analyzing the impact of extreme volatility and regime-dependent dynamics on variable annuities in emerging economies. This study investigates how regime shifts during the COVID-19 pandemic influence variable annuity pricing in the Indian stock market, specifically using the Nifty 50 Index data from 7 September 2017 until 7 September 2023. Advanced methodologies, including regime-switching hidden Markov models, artificial neural networks, and Monte Carlo simulations, were applied to analyze pre- and post-COVID-19 market behavior. The regime-switching hidden Markov models effectively capture latent market regimes and their transitions, which traditional models often overlook, while neural networks provide flexible functional approximations that enhance pricing accuracy in highly non-linear environments. The Expectation–Maximization (EM) algorithm was employed to achieve robust calibration and enhance pricing accuracy. The analysis showed significant pricing variations across market regimes, with heightened volatility observed during the pandemic. The findings highlight the effectiveness of regime-switching models in capturing market dynamics, particularly during periods of economic uncertainty and turbulence. This research contributes to the understanding of variable annuity pricing under regime-dependent dynamics in emerging markets and offers practical implications for improved risk management and policy formulation. Full article
(This article belongs to the Special Issue Feature Papers in Mathematical and Computational Applications 2025)
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<p>Nifty 50 Index price (INR) from September 2007 to September 2023. (<b>a</b>) Before COVID-19 pandemic. (<b>b</b>) After COVID-19 pandemic.</p>
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<p>Sensitivity of GMAB price with respect to time to maturity for different guaranteed values in spike regime.</p>
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<p>Sensitivity of GMAB price with respect to time to maturity for different guaranteed values in the base regime.</p>
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15 pages, 3308 KiB  
Article
Identification and Expression Analysis of the Soybean Serine Acetyltransferase (SAT) Gene Family Under Salt Stress
by Caiyun Fan, Hui Zou, Miao Zhang, Yu Jiang, Baohui Liu, Zhihui Sun and Bohong Su
Int. J. Mol. Sci. 2025, 26(5), 1882; https://doi.org/10.3390/ijms26051882 - 22 Feb 2025
Viewed by 222
Abstract
Serine acetyltransferase (SAT) is a critical enzyme in the sulfur-assimilation pathway of cysteine, playing an essential role in numerous physiological functions in plants, particularly in their response to environmental stresses. However, the structural characteristics of the soybean SAT gene family remain poorly understood. [...] Read more.
Serine acetyltransferase (SAT) is a critical enzyme in the sulfur-assimilation pathway of cysteine, playing an essential role in numerous physiological functions in plants, particularly in their response to environmental stresses. However, the structural characteristics of the soybean SAT gene family remain poorly understood. Members of the soybean SAT gene family were identified using the Hidden Markov Model approach. Bioinformatics tools, such as ExPASy, PlantCARE, MEME, and TBtools-II, were employed to examine the physicochemical properties, cis-regulatory elements, conserved motifs, gene structures, and chromosomal positions of the GmSAT genes. RT-qPCR was conducted to evaluate the expression profiles of GmSAT genes under NaCl-induced stress, identifying genes likely involved in the salt-stress response. A total of ten GmSAT genes were identified in the soybean genome and grouped into three subfamilies. Genes within each subfamily shared notable structural similarities and conserved motifs. Analysis of cis-regulatory elements revealed that the promoters of these genes contain several elements linked to plant growth and stress-related responses. Expression patterns of GmSAT genes varied across different soybean tissues, with GmSAT10 showing higher expression in roots, while GmSAT1 and GmSAT2 had lower expression in the same tissue. Following NaCl treatment, expression levels of seven GmSAT genes were significantly increased in the roots, indicating their potential involvement in the plant’s adaptation to salt stress. GmSAT genes appear to play crucial roles in soybean’s response to salt stress, offering insights that could aid in the development of salt-tolerant soybean varieties. Full article
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<p>Phylogenetic tree depicting the evolutionary relationships of <span class="html-italic">SAT</span> genes across dicot and monocot species. The phylogenetic tree was constructed by aligning SAT protein sequences from a diverse range of plant species, and the tree topology was inferred using the Neighbor-Joining (NJ) method for clustering. SAT family proteins from different species are represented by distinct symbols: red pentagrams for <span class="html-italic">Glycine max</span> (<span class="html-italic">Gm</span>), green triangles for <span class="html-italic">Arabidopsis thaliana</span> (<span class="html-italic">At</span>), black circles for <span class="html-italic">Lotus japonicus</span> (<span class="html-italic">Lj</span>), orange squares for <span class="html-italic">Medicago truncatula</span> (<span class="html-italic">Mt</span>), yellow circles for <span class="html-italic">Solanum lycopersicum</span> (<span class="html-italic">Sl</span>), blue squares for <span class="html-italic">Oryza sativa</span> (<span class="html-italic">Os</span>), and brown triangles for <span class="html-italic">Zea mays</span> (<span class="html-italic">Zm</span>). Clades I–III are color-coded to indicate the evolutionary groupings of the SAT proteins.</p>
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<p>Chromosomal localization of the soybean <span class="html-italic">SAT</span> gene family. The scale on the left represents the length of soybean chromosomes in megabases (Mb). Gene density is depicted in a color gradient, with red indicating regions of higher gene density and blue indicating regions of lower gene density.</p>
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<p>Intraspecies collinearity analysis of the <span class="html-italic">GmSAT</span> gene family. The 20 soybean chromosomes are depicted as orange rectangles, with the corresponding chromosome numbers indicated at the top of each rectangle. The GC content and gene density across the chromosomes are visualized using different colored lines and heatmaps, respectively. Gray lines represent the connections between all duplicated sequences within the soybean genome, while red lines specifically highlight the segmental duplication pairs of <span class="html-italic">GmSAT</span> genes.</p>
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<p>Structural features of <span class="html-italic">SAT</span> gene family members. (<b>A</b>) Phylogenetic relationships and distribution of conserved motifs within the <span class="html-italic">GmSAT</span> gene family. The conserved motifs in the 10 GmSAT proteins were determined using the MEME tool. Non-conserved regions are represented by black lines, while each conserved motif is indicated by a colored box as shown on the right. The scale at the bottom illustrates the relative lengths of each motif within the protein sequences. (<b>B</b>) Conserved protein domains within the SAT proteins. The full-length protein sequences are represented, with conserved regions highlighted by green boxes. (<b>C</b>) Exon–intron organization of the <span class="html-italic">SAT</span> genes. Untranslated regions (UTRs) are marked with green boxes, coding sequences (CDS) are indicated by yellow boxes, and introns are represented by black lines. The scale at the bottom shows the proportional lengths of exons and introns.</p>
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<p>Analysis of Cis-acting Elements in the Promoters of the Soybean <span class="html-italic">SAT</span> Gene Family. Different categories of cis-acting elements are depicted using color-coded boxes. The promoter sequence lengths are represented by the scale at the bottom, providing a reference for the relative sizes.</p>
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<p>Expression analysis of <span class="html-italic">SAT</span> genes in different tissues. The FPKM values of <span class="html-italic">GmSAT</span> genes were transformed using a log2 scale. The expression levels across different tissues are represented by a color gradient, with low expression depicted in blue and high expression in red, as indicated by the bar chart on the right.</p>
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<p>RT-qPCR analysis of the expression of eight <span class="html-italic">GmSAT</span> genes under salt stress. The baseline measurement at 0 h was designated as the control, with <span class="html-italic">Gmactin11</span> serving as the internal reference gene for normalization. Error bars represent the standard deviation calculated from three independent biological replicates. Statistical significance was determined through one-way analysis of variance (ANOVA), followed by Duncan’s multiple range test (<span class="html-italic">p</span> &lt; 0.05, n = 3). Different letters denote statistically significant differences between groups. The pink color in the figure represents soybean leaves, while blue indicates soybean roots.</p>
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17 pages, 1463 KiB  
Article
Interpretable Probabilistic Identification of Depression in Speech
by Stavros Ntalampiras
Sensors 2025, 25(4), 1270; https://doi.org/10.3390/s25041270 - 19 Feb 2025
Viewed by 140
Abstract
Mental health assessment is typically carried out via a series of conversation sessions with medical professionals, where the overall aim is the diagnosis of mental illnesses and well-being evaluation. Despite its arguable socioeconomic significance, national health systems fail to meet the increased demand [...] Read more.
Mental health assessment is typically carried out via a series of conversation sessions with medical professionals, where the overall aim is the diagnosis of mental illnesses and well-being evaluation. Despite its arguable socioeconomic significance, national health systems fail to meet the increased demand for such services that has been observed in recent years. To assist and accelerate the diagnosis process, this work proposes an AI-based tool able to provide interpretable predictions by automatically processing the recorded speech signals. An explainability-by-design approach is followed, where audio descriptors related to the problem at hand form the feature vector (Mel-scaled spectrum summarization, Teager operator and periodicity description), while modeling is based on Hidden Markov Models adapted from an ergodic universal one following a suitably designed data selection scheme. After extensive and thorough experiments adopting a standardized protocol on a publicly available dataset, we report significantly higher results with respect to the state of the art. In addition, an ablation study was carried out, providing a comprehensive analysis of the relevance of each system component. Last but not least, the proposed solution not only provides excellent performance, but its operation and predictions are transparent and interpretable, laying out the path to close the usability gap existing between such systems and medical personnel. Full article
(This article belongs to the Special Issue Advances in Acoustic Sensors and Deep Audio Pattern Recognition)
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<p>MAP-based adaptation of the <span class="html-italic">k</span>-the component of model <math display="inline"><semantics> <mi mathvariant="script">M</mi> </semantics></math> using class-specific observations <span class="html-italic">R</span>.</p>
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<p>The topologies including the transition probabilities of the HMMs constructed to address Interview and Reading tasks.</p>
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<p>Effect of the number of HMM states on F1-score for Reading and Interview tasks.</p>
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<p>The probabilities output by the UBM-HMM on recordings representing both Healthy and Control subjects with respect to Reading and Interview tasks.</p>
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20 pages, 2998 KiB  
Article
Research on Network Handover Based on User Movement Prediction in Visible Light Communication and Wi-Fi Heterogeneous Networks
by Chenghu Ke, Mengfan Wang, Huanhuan Qin and Xizheng Ke
Appl. Sci. 2025, 15(4), 2188; https://doi.org/10.3390/app15042188 - 18 Feb 2025
Viewed by 251
Abstract
This paper addresses the handover challenge in indoor visible light communication and Wi-Fi heterogeneous networks, proposing an adaptive handover strategy based on user trajectory prediction. Extracting meaningful and important location points from massive trajectory data for clustering, an improved hidden Markov model is [...] Read more.
This paper addresses the handover challenge in indoor visible light communication and Wi-Fi heterogeneous networks, proposing an adaptive handover strategy based on user trajectory prediction. Extracting meaningful and important location points from massive trajectory data for clustering, an improved hidden Markov model is used to predict the user’s next location by analyzing the patterns of the user’s historical mobile trajectory data. The Q-learning algorithm is then used to determine the optimal network handover based on the current network state, while a seamless handover protocol is introduced to ensure successful network transition and uninterrupted data transmission. Compared with the traditional STD-LTE handover scheme, the proposed algorithm can reduce vertical handover rates by up to 32% during fast walking. When indoor user connections increase, the algorithm can maintain high fairness and high throughput when indoor user connections increase, verifying that it is robust in different scenarios. Full article
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<p>Indoor VLC/Wi-Fi heterogeneous network model.</p>
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<p>Normalized impulse response percentage of direct and reflected light [<a href="#B20-applsci-15-02188" class="html-bibr">20</a>].</p>
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<p>Overall flow chart.</p>
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<p>Schematic of seamless handover algorithm.</p>
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<p>Comparison of the prediction error before and after improvement.</p>
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<p>Comparison of prediction accuracy at different repetition rates.</p>
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<p>Variation of the average throughput for different users’ speed.</p>
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<p>Variation of the average throughput for different numbers of people.</p>
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<p>Variation of the average throughput for different optical path-blocking scenarios.</p>
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<p>Variation of the handover rate for different users’ speed.</p>
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<p>Variation of the handover rate for different optical path-blocking scenarios.</p>
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<p>Variation of user fairness of each scheme with different number of users.</p>
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<p>Convergence with different number of users.</p>
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23 pages, 4172 KiB  
Article
Data-Driven Identification of Early Cancer-Associated Genes via Penalized Trans-Dimensional Hidden Markov Models
by Saeedeh Hajebi Khaniki and Farhad Shokoohi
Biomolecules 2025, 15(2), 294; https://doi.org/10.3390/biom15020294 - 16 Feb 2025
Viewed by 257
Abstract
Colorectal cancer (CRC) is a significant worldwide health problem due to its high prevalence, mortality rates, and frequent diagnosis at advanced stages. While diagnostic and therapeutic approaches have evolved, the underlying mechanisms driving CRC initiation and progression are not yet fully understood. Early [...] Read more.
Colorectal cancer (CRC) is a significant worldwide health problem due to its high prevalence, mortality rates, and frequent diagnosis at advanced stages. While diagnostic and therapeutic approaches have evolved, the underlying mechanisms driving CRC initiation and progression are not yet fully understood. Early detection is critical for improving patient survival, as initial cancer stages often exhibit epigenetic changes—such as DNA methylation—that regulate gene expression and tumor progression. Identifying DNA methylation patterns and key survival-related genes in CRC could thus enhance diagnostic accuracy and extend patient lifespans. In this study, we apply two of our recently developed methods for identifying differential methylation and analyzing survival using a sparse, finite mixture of accelerated failure time regression models, focusing on key genes and pathways in CRC datasets. Our approach outperforms two other leading methods, yielding robust findings and identifying novel differentially methylated cytosines. We found that CRC patient survival time follows a two-component mixture regression model, where genes CDH11, EPB41L3, and DOCK2 are active in the more aggressive form of CRC, whereas TMEM215, PPP1R14A, GPR158, and NAPSB are active in the less aggressive form. Full article
(This article belongs to the Section Molecular Genetics)
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<p>Fitted density of overall survival time in CRC patients (empty circles are observed survival times of CRC patients).</p>
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<p>A flowchart of the study.</p>
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<p>Proportion of missing values in (<b>a</b>) CRC and (<b>b</b>) ACF datasets.</p>
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<p>Volcano plot of predicted methylation of hypo-methylated DMCs (blue) and hyper-methylated DMCs (red) using <tt>DMCTHM</tt>. (<b>a</b>) CRC vs. adjacent normal colon samples. (<b>b</b>) ACF vs. normal crypt samples.</p>
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<p>Genomic locations of identified hyper- (<b>a</b>–<b>d</b>) and hypo-methylated (<b>e</b>–<b>h</b>) DMCs in CRC (<b>a</b>,<b>b</b>,<b>e</b>,<b>f</b>) and ACF (<b>c</b>,<b>d</b>,<b>g</b>,<b>h</b>) datasets using <tt>DMCTHM</tt> (<b>a</b>,<b>c</b>,<b>e</b>,<b>g</b>) and <span class="html-italic">t</span>-test (<b>b</b>,<b>d</b>,<b>f</b>,<b>h</b>).</p>
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<p>Differentially methylated gene distribution via <tt>DMCTHM</tt> and <span class="html-italic">t</span>-test.</p>
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<p>Venn diagram of commonly identified DMGs in CRC and ACF datasets using <tt>DMCTHM</tt>, <span class="html-italic">t</span>-test, and GEO datasets.</p>
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<p>Gene set enrichment analysis of overlapped DMGs in CRC/ACF datasets identified by <tt>DMCTHM</tt> and <span class="html-italic">t</span>-test: (<b>a</b>) Gene Ontology; (<b>b</b>) KEGG Pathway.</p>
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<p>Gene set enrichment analysis of overlapped DMGs in CRC/ACF datasets identified by <tt>DMCTHM</tt> and <span class="html-italic">t</span>-test: (<b>a</b>) Gene Ontology; (<b>b</b>) KEGG Pathway.</p>
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<p>Posterior probabilities of patients belonging to Component 1, with <span class="html-italic">Alive</span> and <span class="html-italic">Dead</span> patients separated.</p>
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29 pages, 3949 KiB  
Article
RCoD: Reputation-Based Context-Aware Data Fusion for Mobile IoT
by Samia Tasnim, Niki Pissinou, S. Sitharama Iyengar, Kianoosh G. Boroojeni and Kishwar Ahmed
Sensors 2025, 25(4), 1171; https://doi.org/10.3390/s25041171 - 14 Feb 2025
Viewed by 331
Abstract
The rapid development of mobile sensing technologies (e.g., smart devices embedded with various powerful sensors) has encouraged the proliferation of the Internet of Things (IoT). Although data reliability and accuracy are crucial in many sensor applications (e.g., air-quality monitoring), it is often difficult [...] Read more.
The rapid development of mobile sensing technologies (e.g., smart devices embedded with various powerful sensors) has encouraged the proliferation of the Internet of Things (IoT). Although data reliability and accuracy are crucial in many sensor applications (e.g., air-quality monitoring), it is often difficult to ensure these properties. Mobile IoT’s people-centric architecture allows for more inaccurate and corrupted data. In this manuscript, we are addressing the problem of how to predict data more accurately in the presence of malicious participants who inject false data to manipulate the system. Our goal is to recover those missing or imprecise data values from the correlated data streams. To do so, we propose a Reputation-Based Context-Aware Data-Fusion (RCoD) mechanism that is resilient against on–off and data-corruption attacks. Furthermore, the Contextual Hidden Markov Model-based data prediction facilitates more accurate real-time data prediction. We tested the scenarios where most participants were malicious, injecting false data at varied rates. Our method accurately identified the honest participants based on their reported data and context. We empirically evaluate the performance using Beijing’s air-quality dataset. We compared the performance of our RCoD method against four state-of-the-art methods, and the results justify its superiority. Full article
(This article belongs to the Special Issue Feature Papers in the Internet of Things Section 2024)
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<p>Overall Architecture of RCoD.</p>
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<p>System Model.</p>
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<p>Timeliness Score (<math display="inline"><semantics> <mi>λ</mi> </semantics></math>) vs. Time difference using Inverse Gompertz Function.</p>
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<p>Contextual Hidden Markov Model graph diagram.</p>
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<p>(<b>a</b>) Correlation of PM2.5 and PM10. (<b>b</b>) Correlation of PM2.5 and humidity.</p>
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<p>Mean Absolute Error trend in the presence of on–off attack.</p>
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<p>Change in reputation for an on–off attacker.</p>
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<p>Mean Absolute Error and RMSE in the presence of (<b>a</b>) On–off attack and (<b>b</b>) 55 Data-corruption attackers.</p>
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<p>MAE Trend for 85 Malicious Nodes.</p>
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<p>Average MAE and RMSE where the malicious node is the majority.</p>
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<p>Accuracy vs malicious node.</p>
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<p>(<b>a</b>) Precision vs number of malicious node and (<b>b</b>) Recall vs malicious participants.</p>
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<p>F1 Score vs malicious node.</p>
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<p>(<b>a</b>) AUC vs number of malicious node and (<b>b</b>) Specificity vs malicious participants.</p>
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<p>Average MAE and RMSE incurred by RCoD.</p>
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<p>Average RMSE Comparison.</p>
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19 pages, 279 KiB  
Review
Speaker Diarization: A Review of Objectives and Methods
by Douglas O’Shaughnessy
Appl. Sci. 2025, 15(4), 2002; https://doi.org/10.3390/app15042002 - 14 Feb 2025
Viewed by 332
Abstract
Recorded audio often contains speech from multiple people in conversation. It is useful to label such signals with speaker turns, noting when each speaker is talking and identifying each speaker. This paper discusses how to process speech signals to do such speaker diarization [...] Read more.
Recorded audio often contains speech from multiple people in conversation. It is useful to label such signals with speaker turns, noting when each speaker is talking and identifying each speaker. This paper discusses how to process speech signals to do such speaker diarization (SD). We examine the nature of speech signals, to identify the possible acoustical features that could assist this clustering task. Traditional speech analysis techniques are reviewed, as well as measures of spectral similarity and clustering. Speech activity detection requires separating speech from background noise in general audio signals. SD may use stochastic models (hidden Markov and Gaussian mixture) and embeddings such as x-vectors. Modern neural machine learning methods are examined in detail. Suggestions are made for future improvements. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
30 pages, 3344 KiB  
Article
Improving Location Recommendations Based on LBSN Data Through Data Preprocessing
by Robert Bembenik, Mateusz Orzoł and Piotr Maciąg
Electronics 2025, 14(4), 701; https://doi.org/10.3390/electronics14040701 - 11 Feb 2025
Viewed by 362
Abstract
The accurate prediction of the next location in a sequence is highly beneficial for users of mobile applications. In this study, we investigate how various data preprocessing techniques affect the performance of location recommendation systems. We utilize datasets from Foursquare and Twitter, incorporating [...] Read more.
The accurate prediction of the next location in a sequence is highly beneficial for users of mobile applications. In this study, we investigate how various data preprocessing techniques affect the performance of location recommendation systems. We utilize datasets from Foursquare and Twitter, incorporating users’ historical check-ins. Key preprocessing steps include filtering datasets to users with common features, analyzing user location preferences, varying sequence lengths and location categories, and integrating time-of-day information. Our findings reveal that proper data preprocessing significantly enhances the accuracy of recommendations by addressing key challenges such as data sparsity and user heterogeneity. Specifically, tailoring datasets to individual user attributes improves model personalization, while restructuring category hierarchies balances precision and diversity in the recommendations that are given. Integrating temporal data further refines the predictions that are made by accounting for time-based user behavior. Recommendations are generated using recurrent neural networks (RNNs) and hidden Markov models (HMMs), with the experimental results showing up to 20% improvement in the precision of personalized models compared to global ones. Full article
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<p>A single GRU unit.</p>
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<p>Number of records, sequences, and users for different generated datasets.</p>
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<p>Number of data entries after each preprocessing step.</p>
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<p>Subsequent stages of data processing.</p>
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<p>Precision and precision@3 for recommendations computed using RNN for different datasets. Parameters: sequence length: three, number of categories: 25, the most frequent category: included, time of day: not included.</p>
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<p>Precision and precision@3 for recommendations computed using RNN for different numbers of categories for the following parameters: language—Japanese, sequence length—three, the most numerous category—included, time of day information—included.</p>
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<p>Precision and precision@3 for recommendations computed using RNN for different sequence lengths for the following parameters: language—Japanese, the most numerous category—included, time of day information—not included.</p>
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<p>Precision and precision@3 for recommendations computed using RNN with and without the most numerous category for the following parameters: language—Japanese, number of categories: 25, sequence length: three, time of day information—not included.</p>
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<p>Results for particular individual models (similar preferences) of a recurrent neural network.</p>
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<p>Influence of individual models of a recurrent neural network on precision for the following parameters: dataset for the Japanese language, time of day information—included, number of categories—25, sequence length—three, the most numerous category—included.</p>
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<p>A fragment of the structure of the implemented hidden Markov model.</p>
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<p>Comparison of precision and precision@3 for hidden Markov models for different types of datasets. Parameters: sequence length—three, number of categories—25.</p>
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<p>Comparison of precision and precision@3 for hidden Markov models for different numbers of categories and different sequence lengths. Parameters: dataset—Japanese language.</p>
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<p>Influence of using individual models on precision and precision@3 with hidden Markov models. Parameters: dataset—Japanese language, categories number—25, sequence length—three.</p>
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<p>Precision and precision@3 comparison for models based on recurrent neural networks and hidden Markov models. Parameters: dataset—Japanese language, number of categories—25, sequence length—three.</p>
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31 pages, 7203 KiB  
Article
An Electro-Magnetic Log (EML) Integrated Navigation Algorithm Based on Hidden Markov Model (HMM) and Cross-Noise Linear Kalman Filter
by Haosu Zhang, Liang Yang, Lei Zhang, Yong Du, Chaoqi Chen, Wei Mu and Lingji Xu
Sensors 2025, 25(4), 1015; https://doi.org/10.3390/s25041015 - 8 Feb 2025
Viewed by 470
Abstract
In this paper, an EML (electro-magnetic log) integrated navigation algorithm based on the HMM (hidden Markov model) and CNLKF (cross-noise linear Kalman filter) is proposed, which is suitable for SINS (strapdown inertial navigation system)/EML/GNSS (global navigation satellite system) integrated navigation systems for small [...] Read more.
In this paper, an EML (electro-magnetic log) integrated navigation algorithm based on the HMM (hidden Markov model) and CNLKF (cross-noise linear Kalman filter) is proposed, which is suitable for SINS (strapdown inertial navigation system)/EML/GNSS (global navigation satellite system) integrated navigation systems for small or medium-sized AUV (autonomous underwater vehicle). The algorithm employs the following five techniques: ① the HMM-based pre-processing algorithm of EML data; ② the CNLKF-based fusion algorithm of SINS/EML information; ③ the MALKF (modified adaptive linear Kalman filter)-based algorithm of GNSS-based calibration; ④ the estimation algorithm of the current speed based on output from MALKF and GNSS; ⑤ the feedback correction of LKF (linear Kalman filter). The principle analysis of the algorithm, the modeling process, and the flow chart of the algorithm are given in this paper. The sea trial of a small-sized AUV shows that the endpoint positioning error of the proposed/traditional algorithm by this paper is 20.5 m/712.1 m. The speed of the water current could be relatively accurately estimated by the proposed algorithm. Therefore, the algorithm has the advantages of high accuracy, strong anti-interference ability (it can effectively shield the outliers of EML and GNSS), strong adaptability to complex environments, and high engineering practicality. In addition, compared with the traditional DVL (Doppler velocity log), EML has the advantages of great concealment, low cost, light weight, small size, and low power consumption. Full article
(This article belongs to the Section Navigation and Positioning)
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<p>A schematic diagram of the current estimation and integrated navigation algorithm based on HMM.</p>
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<p>Schematic diagram of the working principle of the EML.</p>
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<p>Flow chart of MALKF.</p>
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<p>Simplified flow chart of the proposed algorithm.</p>
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<p>The five core modules of the proposed algorithm.</p>
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<p>Diagram of the AUV layout.</p>
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<p>(<b>a</b>) Photograph of deployment (from ship to water surface) of the AUV. (<b>b</b>) Photograph of the AUV sailing on the water surface.</p>
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<p>Schematic diagram of the AUV voyaging on the water surface.</p>
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<p>(<b>a</b>) Physical photos of the INS. (<b>b</b>) Physical photos of the internal structure of the INS. (<b>c</b>) Physical photos of the EML.</p>
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<p>(<b>a</b>) Schematic diagram of the drifting buoy. (<b>b</b>) Physical picture of devices inside the buoy ball.</p>
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<p>(<b>a</b>) Speed measured by the EML (including one outlier). (<b>b</b>) Speed after HMM filtering. (<b>c</b>) Position measured by the GNSS (with one outlier).</p>
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<p>(<b>a</b>) Estimated and actual speeds of the eastward current. (<b>b</b>) Estimated and actual speeds of the northward current.</p>
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<p>(<b>a</b>) Positioning error of the proposed algorithm and conventional LKF. (<b>b</b>) Positioning error rate of the proposed algorithm and conventional LKF. (<b>c</b>) Trajectory based on GNSS measuring positions. (<b>d</b>) Output of <span class="html-italic">x</span>-axis gyros in IMU. (<b>e</b>) Output of <span class="html-italic">y</span>-axis gyros in IMU. (<b>f</b>) Output of <span class="html-italic">z</span>-axis gyros in IMU. (<b>g</b>) Output of three accelerometers. (<b>h</b>) Pitch and roll angles of the AUV. (<b>i</b>) Heading angle of the AUV.</p>
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<p>(<b>a</b>) Positioning error of the proposed algorithm and conventional LKF. (<b>b</b>) Positioning error rate of the proposed algorithm and conventional LKF. (<b>c</b>) Trajectory based on GNSS measuring positions. (<b>d</b>) Output of <span class="html-italic">x</span>-axis gyros in IMU. (<b>e</b>) Output of <span class="html-italic">y</span>-axis gyros in IMU. (<b>f</b>) Output of <span class="html-italic">z</span>-axis gyros in IMU. (<b>g</b>) Output of three accelerometers. (<b>h</b>) Pitch and roll angles of the AUV. (<b>i</b>) Heading angle of the AUV.</p>
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<p>(<b>a</b>) Positioning error of the proposed algorithm and conventional LKF. (<b>b</b>) Positioning error rate of the proposed algorithm and conventional LKF. (<b>c</b>) Trajectory based on GNSS measuring positions. (<b>d</b>) Output of <span class="html-italic">x</span>-axis gyros in IMU. (<b>e</b>) Output of <span class="html-italic">y</span>-axis gyros in IMU. (<b>f</b>) Output of <span class="html-italic">z</span>-axis gyros in IMU. (<b>g</b>) Output of three accelerometers. (<b>h</b>) Pitch and roll angles of the AUV. (<b>i</b>) Heading angle of the AUV.</p>
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<p>Simulation results of the GNSS with a measurement update period of 1 s. (<b>a</b>) Figure of positioning errors of the proposed and conventional algorithms. (<b>b</b>) Local figure (except two peaks caused by two outliers) of positioning errors of the proposed and conventional algorithms. (<b>c</b>) Local figure (except peak caused by GNSS outlier) of the positioning error rates of the proposed algorithm and conventional algorithm.</p>
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<p>Simulation results of the GNSS with a measurement update period of 1 s. (<b>a</b>) Figure of positioning errors of the proposed and conventional algorithms. (<b>b</b>) Local figure (except two peaks caused by two outliers) of positioning errors of the proposed and conventional algorithms. (<b>c</b>) Local figure (except peak caused by GNSS outlier) of the positioning error rates of the proposed algorithm and conventional algorithm.</p>
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22 pages, 3952 KiB  
Article
Hidden Markov Neural Networks
by Lorenzo Rimella and Nick Whiteley
Entropy 2025, 27(2), 168; https://doi.org/10.3390/e27020168 - 5 Feb 2025
Viewed by 452
Abstract
We define an evolving in-time Bayesian neural network called a Hidden Markov Neural Network, which addresses the crucial challenge in time-series forecasting and continual learning: striking a balance between adapting to new data and appropriately forgetting outdated information. This is achieved by modelling [...] Read more.
We define an evolving in-time Bayesian neural network called a Hidden Markov Neural Network, which addresses the crucial challenge in time-series forecasting and continual learning: striking a balance between adapting to new data and appropriately forgetting outdated information. This is achieved by modelling the weights of a neural network as the hidden states of a Hidden Markov model, with the observed process defined by the available data. A filtering algorithm is employed to learn a variational approximation of the evolving-in-time posterior distribution over the weights. By leveraging a sequential variant of Bayes by Backprop, enriched with a stronger regularization technique called variational DropConnect, Hidden Markov Neural Networks achieve robust regularization and scalable inference. Experiments on MNIST, dynamic classification tasks, and next-frame forecasting in videos demonstrate that Hidden Markov Neural Networks provide strong predictive performance while enabling effective uncertainty quantification. Full article
(This article belongs to the Special Issue Advances in Probabilistic Machine Learning)
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<p>On the left: The conditional independence structure of an HMM. On the right: The conditional independence structure of an FHMM.</p>
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<p>Performance on a validation set of a Bayes by Backprop with and without variational DropConnect. The plot on the bottom is a zoom-in of the plot on the top.</p>
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<p>First row, well-separated “two moons”. Second row, overlapping “two moons”. Different columns are associated with different time steps. Different colours are associated with different labels.</p>
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<p>First row, well-separated “two moons”. Second row, overlapping “two moons”. Different columns are associated with different time steps. The plot shows the length of the 95% credible interval. The blue and yellow surface is the probability of prediction on the second class. Different coloured dots are associated with different labels.</p>
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<p>First row, well-separated “two moons”. Second row, overlapping “two moons”. Different columns are associated with different time steps. The blue and yellow surface is the probability prediction on the second class. Pink- and grey-shaded surfaces represent the 95% credible intervals.</p>
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<p>Mean of the approximate posterior distributions over 700 steps, where credible intervals were built from multiple runs. Orange stands for <math display="inline"><semantics> <msubsup> <mi>w</mi> <mi>t</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math>, blue stands for <math display="inline"><semantics> <msubsup> <mi>w</mi> <mi>t</mi> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </msubsup> </semantics></math> and green is used for the bias. On the top, the HMNN. On the bottom, adaption with the Ornstein–Uhlenbeck process from [<a href="#B9-entropy-27-00168" class="html-bibr">9</a>].</p>
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<p>On the top, performances on a held-out validation set over time of the evolving classifiers obtained with different algorithms [<a href="#B9-entropy-27-00168" class="html-bibr">9</a>]. BBP refers to Bayes by Backprop trained sequentially. BBP (T = 1) refers to the training of Bayes by Backprop on the whole dataset. On the bottom, in brown, the evolution in time of the probability <math display="inline"><semantics> <msub> <mi>f</mi> <mi>t</mi> </msub> </semantics></math> of choosing the labeller <math display="inline"><semantics> <msub> <mi mathvariant="script">C</mi> <mn>1</mn> </msub> </semantics></math>, and in yellow, the value <math display="inline"><semantics> <mrow> <mn>0.5</mn> </mrow> </semantics></math>.</p>
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<p>Columns show the prediction for different algorithms, with the last two being the last frame seen and the target frame. Rows display different time steps.</p>
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17 pages, 1852 KiB  
Article
Sông Sài Gòn: Extreme Plastic Pollution Pathways in Riparian Waterways
by Peter Cleveland and Ann Morrison
Sensors 2025, 25(3), 937; https://doi.org/10.3390/s25030937 - 4 Feb 2025
Viewed by 734
Abstract
Plastic pollution in waterways poses a significant global challenge, largely stemming from land-based sources and subsequently transported by rivers to marine environments. With a substantial percentage of marine plastic waste originating from land-based sources, comprehending the trajectory and temporal experience of single-use plastic [...] Read more.
Plastic pollution in waterways poses a significant global challenge, largely stemming from land-based sources and subsequently transported by rivers to marine environments. With a substantial percentage of marine plastic waste originating from land-based sources, comprehending the trajectory and temporal experience of single-use plastic bottles assumes paramount importance. This project designed, developed, and released a plastic pollution tracking device, coinciding with Vietnam’s annual Plastic Awareness Month. By mapping the plastic tracker’s journey through the Saigon River, this study generated high-fidelity data for comprehensive analysis and bolstered public awareness through regular updates on the Re-Think Plastics Vietnam website. The device, equipped with technologies such as drone flight controller, open-source software, embedded computing, and cellular networking effectively captured GPS position, track, and localized conditions experienced by the plastic bottle tracker on its journey. This amalgamation of data contributes to the understanding of plastic pollution behaviors and serves as a data set for future initiatives aimed at plastic prevention in the ecologically sensitive Mekong Delta. By illuminating the transportation of single-use plastic bottles in the riparian waterways of Ho Chi Minh City and beyond, this study plays a role in collective efforts to understand plastic pollution and preserve aquatic ecosystems. By deploying a GPS-enabled plastic tracker, this study provides novel, high-resolution empirical data on plastic transport in urban tidal systems. These findings contribute to improving waste interception strategies and informing environmental policies aimed at reducing plastic accumulation in critical retention zones. Full article
(This article belongs to the Special Issue Sensors and Extreme Environments)
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<p>Logical thinking-frame diagram. Arrows indicate progression.</p>
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<p>Day 2 daily update (screenshot).</p>
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<p>Technology arrangement and data flow (diagram). Arrows indicate data flow direction.</p>
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<p>Final technology arrangement before installation in bottle (photo).</p>
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<p>(<b>a</b>): Plastic tracker development with final ballast and sensor, housing arrangement. (<b>b</b>): Plastic Tracker final prototype as released into the river (photos).</p>
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<p>Pathway of tracker from launch point until end point (image).</p>
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<p>Speed, Gyroscopic, and Accelerometer Data during Speed Spike Event (image).</p>
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<p>(<b>a</b>): Overview of Speed Spike Event Location. (<b>b</b>): Detailed View of GPS Track During Speed Spike (images).</p>
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<p>State Transition Process. Arrows indicate progression.</p>
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22 pages, 1271 KiB  
Article
Modified Index Policies for Multi-Armed Bandits with Network-like Markovian Dependencies
by Abdalaziz Sawwan and Jie Wu
Network 2025, 5(1), 3; https://doi.org/10.3390/network5010003 - 29 Jan 2025
Viewed by 491
Abstract
Sequential decision-making in dynamic and interconnected environments is a cornerstone of numerous applications, ranging from communication networks and finance to distributed blockchain systems and IoT frameworks. The multi-armed bandit (MAB) problem is a fundamental model in this domain that traditionally assumes independent and [...] Read more.
Sequential decision-making in dynamic and interconnected environments is a cornerstone of numerous applications, ranging from communication networks and finance to distributed blockchain systems and IoT frameworks. The multi-armed bandit (MAB) problem is a fundamental model in this domain that traditionally assumes independent and identically distributed (iid) rewards, which limits its effectiveness in capturing the inherent dependencies and state dynamics present in some real-world scenarios. In this paper, we lay a theoretical framework for a modified MAB model in which each arm’s reward is generated by a hidden Markov process. In our model, each arm undergoes Markov state transitions independent of play in a way that results in varying reward distributions and heightened uncertainty in reward observations. The number of states for each arm can be up to three states. A key challenge arises from the fact that the underlying states governing each arm’s rewards remain hidden at the time of selection. To address this, we adapt traditional index-based policies and develop a modified index approach tailored to accommodate Markovian transitions and enhance selection efficiency for our model. Our proposed proposed Markovian Upper Confidence Bound (MC-UCB) policy achieves logarithmic regret. Comparative analysis with the classical UCB algorithm reveals that MC-UCB consistently achieves approximately a 15% reduction in cumulative regret. This work provides significant theoretical insights and lays a robust foundation for future research aimed at optimizing decision-making processes in complex, networked systems with hidden state dependencies. Full article
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<p>A sample example of two-arms of a multi-armed bandit. The first arm has two states and the second arm has one state.</p>
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<p>The simulation results for the specified settings under various values of <math display="inline"><semantics> <mrow> <mi>σ</mi> </mrow> </semantics></math>.</p>
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<p>Full view of how the total regret changes under the different algorithms as the value of <math display="inline"><semantics> <mi>σ</mi> </semantics></math> changes.</p>
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<p>Results on network-like settings under different algorithms for various levels of noise (<math display="inline"><semantics> <mi>σ</mi> </semantics></math>).</p>
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20 pages, 1816 KiB  
Article
Accurate Cardiac Duration Detection for Remote Blood Pressure Estimation Using mm-Wave Doppler Radar
by Shengze Wang, Mondher Bouazizi, Siyuan Yang and Tomoaki Ohtsuki
Sensors 2025, 25(3), 619; https://doi.org/10.3390/s25030619 - 21 Jan 2025
Viewed by 437
Abstract
This study introduces a radar-based model for estimating blood pressure (BP) in a touch-free manner. The model accurately detects cardiac activity, allowing for contactless and continuous BP monitoring. Cardiac motions are considered crucial components for estimating blood pressure. Unfortunately, because these movements are [...] Read more.
This study introduces a radar-based model for estimating blood pressure (BP) in a touch-free manner. The model accurately detects cardiac activity, allowing for contactless and continuous BP monitoring. Cardiac motions are considered crucial components for estimating blood pressure. Unfortunately, because these movements are extremely subtle and can be readily obscured by breathing and background noise, accurately detecting these motions with a radar system remains challenging. Our approach to radar-based blood pressure monitoring in this research primarily focuses on cardiac feature extraction. Initially, an integrated-spectrum waveform is implemented. The method is derived from the short-time Fourier transform (STFT) and has the ability to capture and maintain minute cardiac activities. The integrated spectrum concentrates on energy changes brought about by short and high-frequency vibrations, in contrast to the pulse-wave signals used in previous works. Hence, the interference caused by respiration, random noise, and heart contractile activity can be effectively eliminated. Additionally, we present two approaches for estimating cardiac characteristics. These methods involve the application of a hidden semi-Markov model (HSMM) and a U-net model to extract features from the integrated spectrum. In our approach, the accuracy of extracted cardiac features is highlighted by the notable decreases in the root mean square error (RMSE) for the estimated interbeat intervals (IBIs), systolic time, and diastolic time, which were reduced by 87.5%, 88.7%, and 73.1%. We reached a comparable prediction accuracy even while our subject was breathing normally, despite previous studies requiring the subject to hold their breath. The diastolic BP (DBP) error of our model is 3.98±5.81 mmHg (mean absolute difference ± standard deviation), and the systolic BP (SBP) error is 6.52±7.51 mmHg. Full article
(This article belongs to the Special Issue Analyzation of Sensor Data with the Aid of Deep Learning)
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<p>An illustration of (<b>a</b>) conventional assumption on systolic and diastolic timing extraction and (<b>b</b>) actual systolic and diastolic timings from ECG waveform.</p>
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<p>The system model and the setup of the Doppler sensor for capturing the heartbeat signal.</p>
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<p>An illustration of the heart parts.</p>
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<p>Flowchart of the proposed method.</p>
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<p>(<b>a</b>) The spectrogram of the conventional pulse wave signal; (<b>b</b>) the spectrogram of the higher-frequency radar signal selected in our work.</p>
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<p>Integrated spectrum and pulse wave with ECG as gold standard.</p>
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<p>Example of an HSMM algorithm.</p>
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<p>The estimated state change generated by HSMM.</p>
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<p>Example of a U-net structure.</p>
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<p>An illustration of (<b>A</b>) shows the label are generated from the ECG signal. (<b>B</b>) shows the comparison between Integrated spectrum and the generated label.</p>
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<p>The integrated spectrum, state changes, and U-net results compared with the R-peaks and end of the T-wave in the ECG.</p>
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16 pages, 3289 KiB  
Article
γBMGC: A Comprehensive and Accurate Database for Screening TMAO-Associated Cardiovascular Diseases
by Guang Yang, Tiantian Tao, Guohao Yu, Hongqian Zhang, Yiwen Wu, Siqi Sun, Kexin Guo and Shulei Jia
Microorganisms 2025, 13(2), 225; https://doi.org/10.3390/microorganisms13020225 - 21 Jan 2025
Viewed by 306
Abstract
Dietary l-carnitine produces γ-butylbetaine (γBB) in a gut-microbiota-dependent manner in humans, and has been proven to be an intermediate product possibly associated with incident cardiovascular diseases or major adverse events. Eliminating or reducing the production of microbiota-dependent γBB may contribute to adjuvant therapy [...] Read more.
Dietary l-carnitine produces γ-butylbetaine (γBB) in a gut-microbiota-dependent manner in humans, and has been proven to be an intermediate product possibly associated with incident cardiovascular diseases or major adverse events. Eliminating or reducing the production of microbiota-dependent γBB may contribute to adjuvant therapy for cardiovascular diseases. However, to date, our understanding of the γBB metabolic gene clusters (MGCs) and associated microorganisms remains limited. To solve this problem, we constructed a manually curated γBB metabolic gene cluster database (γBMGC) based on Hidden Markov Models (HMMs). It comprised 171,510 allelic genes from 85 species and 20 genera, which could effectively provide high-resolution analysis at the strain level. For simulated gene datasets, with a 50% identity cutoff, we achieved an annotation accuracy, PPV, specificity, F1-score, and NPV of 99.4%, 97.97%, 99.16%, 98.97%, and 100%, respectively, which significantly outperformed existing databases such as KEGG at similar thresholds. The γBMGC database is more accurate, comprehensive, and faster for profiling cardiovascular disease (CVD)-associated genes at the species or strain level, offering a higher resolution in identifying strain-specific γBB metabolic pathways compared to existing databases like KEGG or COG. Meanwhile, we validated the excellent performance of γBMGC in gene abundance analysis and bacterial species distinction. γBMGC is a powerful database for enhancing our understanding of the microbial l-carnitine pathway in the human gut, enabling rapid and high-accuracy analyses of the associated cardiovascular disease processes. Full article
(This article belongs to the Special Issue Secondary Metabolism of Microorganisms, 3rd Edition)
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<p>The technical flowchart for the γBMGC database construction. The flowchart includes data collection, sequence search (<b>a</b>), database validation, and applications in metagenome (<b>b</b>). The homologs were searched in ~168,484 genomes with HMMER and gutSMASH. Then, the sequences were extracted through the HMMER-Extractor and Gut_extractor scripts, which were implemented with Python. Finally, all genes were checked and curated for constructing the γBMGC database. The best identity and accuracy test of γBMGC were conducted in a mock community and simulated gene dataset, respectively.</p>
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<p>Statics of strains at species (<b>a</b>) and genus level (<b>b</b>) in the γBMGC database. At species level, statistical analysis was conducted based on the top 20 bacterial species.</p>
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<p>The accuracy of γBMGC against sequence identity (coverage 80%). The accuracy and positive predictive value (<b>a</b>), specificity (<b>b</b>), F1-score (<b>c</b>), and negative predictive value (<b>d</b>) were recorded along with the identity varied from 0 to 100% with a step by 10%. Left dash line represents a 30% identity cutoff, and right dash line means a 50% identity cutoff.</p>
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<p>The accuracy and completeness of γBMGC validated by a mock community. (<b>a</b>) Heatmap showed the detection of each genome involved in the mock community as identity increased, and red represents the perfect detection. (<b>b</b>) Radar chart showed the number of genomes detected at different identity cutoffs. (<b>c</b>) Detection comparison among different databases.</p>
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<p>Abundance comparison between healthy controls (HCs) and the disease group. (<b>a</b>). Gene abundance and (<b>b</b>). species and genus abundance. ACVD: atherosclerotic cardiovascular disease; HF: heart failure. Comparison of gene abundance among different samples is based on rank sum test (** marks <span class="html-italic">p</span> value &lt; 0.01, * means <span class="html-italic">p</span> value &lt; 0.05).</p>
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