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24 pages, 7806 KiB  
Article
Electrochemical Noise Analysis: An Approach to the Effectivity of Each Method in Different Materials
by Jesús Manuel Jáquez-Muñoz, Citlalli Gaona-Tiburcio, Ce Tochtli Méndez-Ramírez, Cynthia Martínez-Ramos, Miguel Angel Baltazar-Zamora, Griselda Santiago-Hurtado, Francisco Estupinan-Lopez, Laura Landa-Ruiz, Demetrio Nieves-Mendoza and Facundo Almeraya-Calderon
Materials 2024, 17(16), 4013; https://doi.org/10.3390/ma17164013 - 12 Aug 2024
Viewed by 313
Abstract
Corrosion deterioration of materials is a major problem affecting economic, safety, and logistical issues, especially in the aeronautical sector. Detecting the correct corrosion type in metal alloys is very important to know how to mitigate the corrosion problem. Electrochemical noise (EN) is a [...] Read more.
Corrosion deterioration of materials is a major problem affecting economic, safety, and logistical issues, especially in the aeronautical sector. Detecting the correct corrosion type in metal alloys is very important to know how to mitigate the corrosion problem. Electrochemical noise (EN) is a corrosion technique used to characterize the behavior of different alloys and determine the type of corrosion in a system. The objective of this research is to characterize by EN technique different aeronautical alloys (Al, Ti, steels, and superalloys) using different analysis methods such as time domain (visual analysis, statistical), frequency domain (power spectral density (PSD)), and frequency–time domain (wavelet decomposition, Hilbert Huang analysis, and recurrence plots (RP)) related to the corrosion process. Optical microscopy (OM) is used to observe the surface of the tested samples. The alloys were exposed to 3.5 wt.% NaCl and H2SO4 solutions at room temperature. The results indicate that HHT and recurrence plots are the best options for determining the corrosion type compared with the other methods due to their ability to analyze dynamic and chaotic systems, such as corrosion. Corrosion processes such as passivation and localized corrosion can be differentiated when analyzed using HHT and RP methods when a passive system presents values of determinism between 0.5 and 0.8. Also, to differentiate the passive system from the localized system, it is necessary to see the recurrence plot due to the similarity of the determinism value. Noise impedance (Zn) is one of the best options for determining the corrosion kinetics of one system, showing that Ti CP2 and Ti-6Al-4V presented 742,824 and 939,575 Ω·cm2, while Rn presented 271,851 and 325,751 Ω·cm2, being the highest when exposed to H2SO4. Full article
(This article belongs to the Special Issue Corrosion and Mechanical Behavior of Metal Materials (2nd Edition))
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Graphical abstract

Graphical abstract
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<p>Experimental setup for electrochemical noise (EN) measurements.</p>
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<p>Electrochemical potential noise-time series for alloys in NaCl (<b>a</b>) and windowing for (<b>b</b>) Ultimet, (<b>c</b>) Ti6Al-4V, (<b>d</b>) AA2024, AA 2055 and AA6061 (<b>e</b>) 304 SS, 316 SS, AISI 1018 CS. AM 350 and Custom 450.</p>
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<p>Electrochemical current noise-time series for alloys in NaCl (<b>a</b>) and windowing for (<b>b</b>) Inconel 718, Ultimet and Waspaloy, (<b>c</b>) Ti-6Al-4V and Ti CP2, (<b>d</b>) AA 2024, AA 2055 and AA 6061 (<b>e</b>) 304 SS, 316 SS, AM 350 and Custom 450.</p>
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<p>Electrochemical potential noise-time series for alloys in H<sub>2</sub>SO<sub>4</sub> (<b>a</b>) and windowing for (<b>b</b>) 304 SS, 316 SS, AISI 1018 CS, AM 350 and Custom 450, (<b>c</b>) Ti-6Al-4V and Ti CP2, (<b>d</b>) AA2024, AA 2055 and AISI 1018 CS, (<b>e</b>) Inconel 718, Ultimet and Waspaloy.</p>
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<p>Electrochemical current noise-time series for alloys in H<sub>2</sub>SO<sub>4</sub> (<b>a</b>) and windowing for (<b>b</b>) AA2024 and AA 2055, (<b>c</b>) Ti-6Al-4V and Ti CP2, (<b>d</b>) Inconel 718, Ultimet and Waspaloy (<b>e</b>) AM350 y custom450.</p>
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<p>Power spectral density (PSD) in current for samples in NaCl (<b>a</b>) and H<sub>2</sub>SO<sub>4</sub> (<b>b</b>).</p>
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<p>Noise impedance (Z<sub>n</sub>) for samples in NaCl (<b>a</b>) and H<sub>2</sub>SO<sub>4</sub> (<b>b</b>).</p>
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<p>Energy dispersion plot in NaCl (<b>a</b>,<b>b</b>) and H<sub>2</sub>SO<sub>4</sub> (<b>c</b>,<b>d</b>).</p>
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<p>The Hilbert spectra with recurrence plot and morphology by optical microscopy. (<b>a</b>) 304 SS in NaCl, (<b>b</b>) Inconel 718 in H<sub>2</sub>SO<sub>4</sub>, (<b>c</b>) AA2025 in H<sub>2</sub>SO<sub>4</sub>.</p>
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<p>The Hilbert spectra with recurrence plot and morphology by optical microscopy. (<b>a</b>) AM350 in NaCl, (<b>b</b>) Ti CP2 in H<sub>2</sub>SO<sub>4</sub>, and (<b>c</b>) Ultimet in H<sub>2</sub>SO<sub>4</sub>.</p>
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28 pages, 3882 KiB  
Article
Short-Term Wind Speed Prediction via Sample Entropy: A Hybridisation Approach against Gradient Disappearance and Explosion
by Khathutshelo Steven Sivhugwana and Edmore Ranganai
Computation 2024, 12(8), 163; https://doi.org/10.3390/computation12080163 - 12 Aug 2024
Viewed by 225
Abstract
High-variant wind speeds cause aberrations in wind power systems and compromise the effective operation of wind farms. A single model cannot capture the inherent wind speed randomness and complexity. In the proposed hybrid strategy, wavelet transform (WT) is used for data decomposition, sample [...] Read more.
High-variant wind speeds cause aberrations in wind power systems and compromise the effective operation of wind farms. A single model cannot capture the inherent wind speed randomness and complexity. In the proposed hybrid strategy, wavelet transform (WT) is used for data decomposition, sample entropy (SampEn) for subseries complexity evaluation, neural network autoregression (NNAR) for deterministic subseries prediction, long short-term memory network (LSTM) for complex subseries prediction, and gradient boosting machine (GBM) for prediction reconciliation. The proposed WT-NNAR-LSTM-GBM approach predicts minutely averaged wind speed data collected at Southern African Universities Radiometric Network (SAURAN) stations: Council for Scientific and Industrial Research (CSIR), Richtersveld (RVD), Venda, and the Namibian University of Science and Technology (NUST). For comparison purposes, in WT-NNAR-LSTM-GBM, LSTM and NNAR are respectively replaced with a k-nearest neighbour (KNN) to form the corresponding hybrids: WT-NNAR-KNN-GBM and WT-KNN-LSTM-GBM. We assessed WT-NNAR-LSTM-GBM’s efficacy against NNAR, LSTM, WT-NNAR-KNN-GBM, and WT-KNN-LSTM-GBM as well as the naïve model. The comparative study found that the WT-NNAR-LSTM-GBM model was the most accurate, sharpest, and robust based on mean absolute error, median absolute deviation, and residual analysis. The study results suggest using short-term forecasts to optimise wind power production, enhance grid operations in real-time, and open the door to further algorithmic enhancements. Full article
(This article belongs to the Special Issue Signal Processing and Machine Learning in Data Science)
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Figure 1
<p>The time series and Q-Q plots of minutely averaged wind speed data for the CSIR (<b>a</b>), NUST (<b>b</b>), RVD (<b>c</b>), and Venda (<b>d</b>) stations. Blue lines represent QQ lines, while grey boxes indicate interquartile ranges.</p>
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<p>The time series and Q-Q plots of minutely averaged wind speed data for the CSIR (<b>a</b>), NUST (<b>b</b>), RVD (<b>c</b>), and Venda (<b>d</b>) stations. Blue lines represent QQ lines, while grey boxes indicate interquartile ranges.</p>
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<p>Level three MODWT results for minutely averaged wind speed data for CSIR (<b>top left panel</b>), NUST (<b>top right panel</b>), Venda (<b>bottom left panel</b>) and RVD (<b>bottom right panel</b>). D1–D3 denote the detailed coefficients at different decomposition levels and A3 denotes the approximate signal of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>A typical NNAR (<span class="html-italic">p, k</span>) architecture consists of an input layer, a hidden layer, and an output layer [<a href="#B33-computation-12-00163" class="html-bibr">33</a>]. The values <math display="inline"><semantics> <mrow> <msub> <mrow> <mo>{</mo> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mi>s</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mn>2</mn> <mi mathvariant="normal">s</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mi>p</mi> </mrow> </msub> <mo>}</mo> </mrow> </semantics></math> represent the lagged inputs of order <math display="inline"><semantics> <mrow> <mi>p</mi> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi>s</mi> </mrow> </semantics></math> being the seasonality multiple. Number of neurons in the hidden layer are denoted by <math display="inline"><semantics> <mrow> <mi>k</mi> </mrow> </semantics></math> and the resultant output at time <math display="inline"><semantics> <mrow> <mi>t</mi> </mrow> </semantics></math> is given by <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Schematic representation of an LSTM cell.</p>
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<p>Proposed WT-NNAR-LSTM-GBM model.</p>
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<p>Model comparisons using performance metrics for CSIR (<b>top left panel</b>), NUST (<b>top right panel</b>), RVD (<b>bottom left panel</b>), and Venda (<b>bottom right panel</b>).</p>
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<p>Comparison of 288 min predictions and actual wind speed data for CSIR (<b>Top panel</b>), NUST (<b>Second top panel</b>), RVD (<b>Second bottom panel</b>) and Venda (<b>Bottom panel</b>).</p>
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<p>Distributions of the residuals for CSIR (<b>top left panel</b>), NUST (<b>top right panel</b>), RVD (<b>bottom left panel</b>), and Venda (<b>bottom right panel</b>).</p>
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16 pages, 4655 KiB  
Article
Rolling Bearing Fault Diagnosis in Agricultural Machinery Based on Multi-Source Locally Adaptive Graph Convolution
by Fengyun Xie, Enguang Sun, Linglan Wang, Gan Wang and Qian Xiao
Agriculture 2024, 14(8), 1333; https://doi.org/10.3390/agriculture14081333 - 9 Aug 2024
Viewed by 494
Abstract
Maintaining agricultural machinery is crucial for efficient mechanized farming. Specifically, diagnosing faults in rolling bearings, which are essential rotating components, is of significant importance. Domain-adaptive technology often addresses the challenge of limited labeled data from a single source domain. However, information transfer can [...] Read more.
Maintaining agricultural machinery is crucial for efficient mechanized farming. Specifically, diagnosing faults in rolling bearings, which are essential rotating components, is of significant importance. Domain-adaptive technology often addresses the challenge of limited labeled data from a single source domain. However, information transfer can sometimes fall short in providing adequate relevant details for supporting target diagnosis tasks, leading to poor recognition performance. This paper introduces a novel fault diagnosis model based on a multi-source locally adaptive graph convolution network to diagnose rolling bearing faults in agricultural machinery. The model initially employs an overlapping sampling method to enhance sample data. Recognizing that two-dimensional time–frequency signals possess richer spatial characteristics in neural networks, wavelet transform is used to convert time series samples into time–frequency graph samples before feeding them into the feature network. This approach constructs a sample data pair from both source and target domains. Furthermore, a feature extraction network is developed by integrating the strengths of deep residual networks and graph convolutional networks, enabling the model to better learn invariant features across domains. The locally adaptive method aids the model in more effectively aligning features from the source and target domains. The model incorporates a Softmax layer as the bearing state classifier, which is set up after the graph convolutional network layer, and outputs bearing state recognition results upon reaching a set number of iterations. The proposed method’s effectiveness was validated using a bearing dataset from Jiangnan University. For three different groups of bearing fault diagnosis tasks under varying working conditions, the proposed method achieved recognition accuracies above 99%, with an improvement of 0.30%-4.33% compared to single-source domain diagnosis models. Comparative results indicate that the proposed method can effectively identify bearing states even without target domain labels, showcasing its practical engineering application value. Full article
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<p>Conversion relationship diagram.</p>
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<p>The diagnostic flow chart.</p>
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<p>Multi-source rolling bearing fault diagnosis under variable working conditions.</p>
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<p>Experimental platform: (<b>a</b>) experimental platform structure diagram and (<b>b</b>) data acquisition diagram.</p>
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<p>Recognition accuracy confusion matrix for fault diagnosis in task A + C→B by different models is as follows: (<b>a</b>) accuracy of the JMMD method for the A + C→B task; (<b>b</b>) accuracy of the CORAL method for the C→A task; (<b>c</b>) accuracy of the MK-MMD method for the B + C→A task; and (<b>d</b>) accuracy of the MSLA method for the B, C→A tasks.</p>
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<p>Recognition accuracy confusion matrix for fault diagnosis in task A + C→B by different models is as follows: (<b>a</b>) accuracy of the JMMD method for the A + C→B task; (<b>b</b>) accuracy of the CORAL method for the C→A task; (<b>c</b>) accuracy of the MK-MMD method for the B + C→A task; and (<b>d</b>) accuracy of the MSLA method for the B, C→A tasks.</p>
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<p>The feature distribution maps extracted from the 4 models: (<b>a</b>) feature distribution of SSLA methods in the B→A task; (<b>b</b>) feature distribution of SSLA methods in the C→A task; (<b>c</b>) feature distribution of SSLA methods in the B + C→A task; and (<b>d</b>) feature distribution of MSLA methods in the B + C→A tasks.</p>
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18 pages, 8989 KiB  
Article
A Novel Method for Heat Haze-Induced Error Mitigation in Vision-Based Bridge Displacement Measurement
by Xintong Kong, Baoquan Wang, Dongming Feng, Chenchen Yuan, Ruoyu Gu, Weihang Ren and Kaijing Wei
Sensors 2024, 24(16), 5151; https://doi.org/10.3390/s24165151 - 9 Aug 2024
Viewed by 229
Abstract
Vision-based techniques have become widely applied in structural displacement monitoring. However, heat haze poses a great threat to the precision of vision systems by creating distortions in the images. This paper proposes a vision-based bridge displacement measurement technique with heat haze mitigation capability. [...] Read more.
Vision-based techniques have become widely applied in structural displacement monitoring. However, heat haze poses a great threat to the precision of vision systems by creating distortions in the images. This paper proposes a vision-based bridge displacement measurement technique with heat haze mitigation capability. The properties of heat haze-induced errors are illustrated. A dual-tree complex wavelet transform (DT-CWT) is used to mitigate the heat haze in images, and the speeded-up robust features (SURF) algorithm is employed to extract the displacement. The proposed method is validated through indoor experiments on a bridge model. The designed vision system achieves high measurement accuracy in a heat haze-free condition. The proposed mitigation method successfully corrects 61.05% of heat haze-induced errors in static experiments and 95.31% in dynamic experiments. Full article
(This article belongs to the Section Sensing and Imaging)
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<p>Overall flowchart of the proposed method.</p>
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<p>The heat haze mitigation process.</p>
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<p>Displacement extraction and refinement processes.</p>
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<p>Bridge model.</p>
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<p>Experiment equipment: (<b>a</b>) furnace, (<b>b</b>) camera, (<b>c</b>) marker, and LDS.</p>
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<p>Setup of the experiments.</p>
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<p>ROI in the test (enclosed in the red square).</p>
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<p>Dynamic displacements extracted by the vision system and the LDS without heat haze.</p>
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<p>Displacement errors in the static test.</p>
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<p>Dynamic displacements extracted by the vision system and the LDS with heat haze.</p>
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<p>Movements between images 1 and 2 (<b>a</b>) and between images 2 and 3 (<b>b</b>).</p>
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<p>Mitigation effect in the static experiment.</p>
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<p>Dynamic displacements extracted by the vision system and the LDS after mitigation.</p>
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<p>Images of the ROI after heat haze mitigation at different levels of DT-CWT.</p>
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<p>Influences of DT-CWT level on correction rate and processing time.</p>
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<p>Correction rates at different numbers of point pairs.</p>
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<p>Displacement curves at different numbers of point pairs.</p>
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<p>Correction rate at different removal thresholds.</p>
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16 pages, 2022 KiB  
Article
A Novel Accident Duration Prediction Method Based on a Conditional Table Generative Adversarial Network and Transformer
by Yongdong Wang, Haonan Zhai, Xianghong Cao and Xin Geng
Sustainability 2024, 16(16), 6821; https://doi.org/10.3390/su16166821 - 9 Aug 2024
Viewed by 315
Abstract
The accurate duration prediction of road traffic accident is crucial for ensuring the safe and efficiency of transportation within social road networks. Such predictive capabilities provide significant support for informed decision-making by transportation administrators while also offering new technological support for the sustainable [...] Read more.
The accurate duration prediction of road traffic accident is crucial for ensuring the safe and efficiency of transportation within social road networks. Such predictive capabilities provide significant support for informed decision-making by transportation administrators while also offering new technological support for the sustainable development of modern road networks. This study introduced a novel predictive model for road traffic accident duration, integrating a Conditional Table Generative Adversarial Network (CTGAN) with a transformer architecture. We initially utilized CTGAN to augment and refine the historical accident dataset. Subsequently, we implemented a wavelet denoising technique to cleanse the expanded dataset. The core of our model lies in the application of the transformer mechanism, which was trained to forecast the accident duration with high precision. To prove the effectiveness of our proposed model, a series of comparative experiments were designed and executed. The experimental results show that the prediction error of CTGAN-Tr for accident duration in the accident area could reach below 0.8. Compared with other models, the MAE of CTGAN-Tr was reduced by 0.31 compared with GRU, and the correlation coefficient was increased by 0.2 compared with TCN. At the same time, the model can show excellent performance in the other two accident areas. The results of these experiments not only substantiate the performance of our model but also demonstrate its robustness and generalizability when applied to traffic accident data from other regions. Full article
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<p>The framework of the proposed method.</p>
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<p>CTGAN structural framework diagram.</p>
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<p>Transformer structural framework diagram.</p>
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<p>Comparison of evaluation indicators.</p>
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<p>Comparison of different evaluation indicators in the ablation experiments.</p>
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<p>The comparison of different methods for evaluation indicators.</p>
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<p>The comparison of various models under different regions (CA LA: Los Angeles, California; FL MIA: Miami, Florida; TX HOU: Houston, Texas).</p>
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17 pages, 5628 KiB  
Article
Simulation and Catastrophe Detection of Spontaneous Combustion Processes in Sulfide Ores
by Wei Pan, Shuo Wang, Ruge Yi and Youqing Kang
Appl. Sci. 2024, 14(16), 6979; https://doi.org/10.3390/app14166979 - 9 Aug 2024
Viewed by 404
Abstract
Spontaneous combustion of sulfide ores during mining can lead to severe fires. To explore the transformation of state in the whole process of spontaneous combustion of sulfide ores, the simulation experiment of the whole unsteady process of spontaneous combustion of sulfide ore heap [...] Read more.
Spontaneous combustion of sulfide ores during mining can lead to severe fires. To explore the transformation of state in the whole process of spontaneous combustion of sulfide ores, the simulation experiment of the whole unsteady process of spontaneous combustion of sulfide ore heap was carried out, and the most appropriate wavelet function was selected, combined with catastrophe detection and other methods for data mining and processing. The results indicate spatial differences in the response of the ore heap to environmental temperature changes during the whole unsteady process of spontaneous combustion of the sulfide ore heap. The reaction in the area near the surface of the heap is more prominent and faster, and the response in the area near the center of the heap is longer in duration. Moreover, there must be at least one catastrophe point in this process, and the catastrophe temperature must be between 108.2 °C and 113.9 °C. Finally, the whole unsteady process of the spontaneous combustion of the sulfide ore heap can be divided into four regions. Among them, region (II) is in a stage of obvious self-heating/near spontaneous combustion, and it is the catastrophe stage. Full article
(This article belongs to the Section Energy Science and Technology)
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<p>Schematic diagram of a simulated sulfide ore heap.</p>
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<p>Diagram of the self-developed experimental setup. 1—Programmable high-temperature test chamber. 2—Simulated ore pile. 3—Agilent data acquisition system. 4—Temperature probes. 5—Portable sulfur dioxide (SO<sub>2</sub>) detector.</p>
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<p>Physical picture.</p>
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<p>Wavelet decomposition diagram.</p>
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<p>Temperature variation at each measurement point within the ore heap.</p>
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<p>Variation of sulfur dioxide gas concentration in the sulfide ore heap.</p>
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<p>Reconstruction of the temperature field of the ore heap at different moments. (<b>a</b>) 0~40 min; (<b>b</b>) 40~80 min; (<b>c</b>) 80~120 min; (<b>d</b>) 120~160 min; (<b>e</b>) 160~200 min; (<b>f</b>) 200~240 min; (<b>g</b>) 240~280 min.</p>
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<p>The wavelet reconstruction result of the measurement point (A) (dmey).</p>
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<p>The high-frequency reconstruction sequences of measurement points (<b>A</b>–<b>D</b>).</p>
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<p>The preprocessed high-frequency reconstruction sequences (<b>A</b>–<b>D</b>).</p>
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<p>Catastrophe detection results.</p>
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12 pages, 3253 KiB  
Article
Neural Network-Based Climate Prediction for the 21st Century Using the Finnish Multi-Millennial Tree-Ring Chronology
by Elena A. Kasatkina, Oleg I. Shumilov and Mauri Timonen
Geosciences 2024, 14(8), 212; https://doi.org/10.3390/geosciences14080212 - 8 Aug 2024
Viewed by 266
Abstract
The sun’s activity role in climate change has become a topic of debate. According to data from the IPCC, the global average temperature has shown an increasing trend since 1850, with an average increase of 0.06 °C/decade. Our analysis of summer temperature records [...] Read more.
The sun’s activity role in climate change has become a topic of debate. According to data from the IPCC, the global average temperature has shown an increasing trend since 1850, with an average increase of 0.06 °C/decade. Our analysis of summer temperature records from five weather stations in northern Fennoscandia (65°–70.4° N) revealed an increasing trend, with a range of 0.09 °C/decade to 0.15 °C/decade. However, due to the short duration of instrumental records, it is not possible to accurately assess and predict climate changes on centennial and millennial timescales. In this study, we used the Finnish super-long (~7600 years) tree-ring chronology to create a climate prediction for the 21st century. We applied a method that combines a long short-term memory (LSTM) neural network with the continuous wavelet transform and wavelet filtering in order to make climate change predictions. This approach revealed a significant decrease in tree-ring growth over the near term (2063–2073). The predicted decrease in tree-ring growth (and regional temperature) is thought to be a result of a new grand solar minimum, which may lead to Little Ice Age-like climatic conditions. This result is significant for understanding current climate processes and assessing potential environmental and socio-economic risks on a global and regional level, including in the area of the Arctic shipping routes. Full article
(This article belongs to the Special Issue Advanced Statistical Modelling in Climate Change)
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<p>Map showing sample collection sites with subfossil pines [<a href="#B32-geosciences-14-00212" class="html-bibr">32</a>] (triangles) and weather stations (black circles): 1—Vardo, 2—Teriberka, 3—Murmansk, 4—Sodankyla, 5—Kem. The blue dashed line indicates the Arctic circle.</p>
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<p>Mean summer (JJA) temperatures across northern Fennoscandia: (<b>a</b>) Murmansk, (<b>b</b>) Teriberka, (<b>c</b>) Kem, (<b>d</b>) Sodankyla, (<b>e</b>) Vardo. Red lines denote trends calculated using the nonparametric Kendall–Theil robust line regression method [<a href="#B50-geosciences-14-00212" class="html-bibr">50</a>]. The numbers indicate the increasing rate (°C/decade), with the 95% confidence interval in square brackets.</p>
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<p>A block diagram of the developed LSTM network for climate change prediction.</p>
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<p>(<b>a</b>) Finnish super-long tree-ring chronology (FLTR) [<a href="#B32-geosciences-14-00212" class="html-bibr">32</a>], (<b>b</b>) corresponding continuous wavelet transform (CWT), and (<b>c</b>) wavelet-filtered chronology over the 300–400-year band (blue) with predicted values using the LSTM (red). The 95% confidence level against red noise is shown as a black contour.</p>
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<p>Comparison of the measured (blue) and predicted by the LSTM (red) time series of the FLTR over the testing period (1398–2003 A.D.) (<b>a</b>) and the difference between predicted and measured FLTR values (<b>b</b>).</p>
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24 pages, 8078 KiB  
Article
EEG Channel Selection for Stroke Patient Rehabilitation Using BAT Optimizer
by Mohammed Azmi Al-Betar, Zaid Abdi Alkareem Alyasseri, Noor Kamal Al-Qazzaz, Sharif Naser Makhadmeh, Nabeel Salih Ali and Christoph Guger
Algorithms 2024, 17(8), 346; https://doi.org/10.3390/a17080346 - 8 Aug 2024
Viewed by 343
Abstract
Stroke is a major cause of mortality worldwide, disrupts cerebral blood flow, leading to severe brain damage. Hemiplegia, a common consequence, results in motor task loss on one side of the body. Many stroke survivors face long-term motor impairments and require great rehabilitation. [...] Read more.
Stroke is a major cause of mortality worldwide, disrupts cerebral blood flow, leading to severe brain damage. Hemiplegia, a common consequence, results in motor task loss on one side of the body. Many stroke survivors face long-term motor impairments and require great rehabilitation. Electroencephalograms (EEGs) provide a non-invasive method to monitor brain activity and have been used in brain–computer interfaces (BCIs) to help in rehabilitation. Motor imagery (MI) tasks, detected through EEG, are pivotal for developing BCIs that assist patients in regaining motor purpose. However, interpreting EEG signals for MI tasks remains challenging due to their complexity and low signal-to-noise ratio. The main aim of this study is to focus on optimizing channel selection in EEG-based BCIs specifically for stroke rehabilitation. Determining the most informative EEG channels is crucial for capturing the neural signals related to motor impairments in stroke patients. In this paper, a binary bat algorithm (BA)-based optimization method is proposed to select the most relevant channels tailored to the unique neurophysiological changes in stroke patients. This approach is able to enhance the BCI performance by improving classification accuracy and reducing data dimensionality. We use time–entropy–frequency (TEF) attributes, processed through automated independent component analysis with wavelet transform (AICA-WT) denoising, to enhance signal clarity. The selected channels and features are proved through a k-nearest neighbor (KNN) classifier using public BCI datasets, demonstrating improved classification of MI tasks and the potential for better rehabilitation outcomes. Full article
(This article belongs to the Special Issue Artificial Intelligence Algorithms in Healthcare)
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<p>Bat movement toward prey.</p>
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<p>Bat algorithm flowchart.</p>
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<p>A proposed method for electroencephalogram channel selection.</p>
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<p>(<b>a</b>) EEG electrode distributions based on 10–20 system; (<b>b</b>) schematic diagram of EEG recording protocol.</p>
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<p>Convergence rate and channel distribution.</p>
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<p>Convergence rate and channel distribution.</p>
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<p>Convergence rate and channel distribution.</p>
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<p>Convergence rate and channel distribution.</p>
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<p>Convergence rate and channel distribution.</p>
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<p>Convergence rate and channel distribution.</p>
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<p>Speed of metaheuristic algorithms in seconds.</p>
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18 pages, 5562 KiB  
Article
A Stock Market Decision-Making Framework Based on CMR-DQN
by Xun Chen, Qin Wang, Chao Hu and Chengqi Wang
Appl. Sci. 2024, 14(16), 6881; https://doi.org/10.3390/app14166881 - 6 Aug 2024
Viewed by 673
Abstract
In the dynamic and uncertain stock market, precise forecasting and decision-making are crucial for profitability. Traditional deep neural networks (DNN) often struggle with capturing long-term dependencies and multi-scale features in complex financial time series data. To address these challenges, we introduce CMR-DQN, an [...] Read more.
In the dynamic and uncertain stock market, precise forecasting and decision-making are crucial for profitability. Traditional deep neural networks (DNN) often struggle with capturing long-term dependencies and multi-scale features in complex financial time series data. To address these challenges, we introduce CMR-DQN, an innovative framework that integrates discrete wavelet transform (DWT) for multi-scale data analysis, temporal convolutional network (TCN) for extracting deep temporal features, and a GRU–LSTM–Attention mechanism to enhance the model’s focus and memory. Additionally, CMR-DQN employs the Rainbow DQN reinforcement learning strategy to learn optimal trading strategies in a simulated environment. CMR-DQN significantly improved the total return rate on six selected stocks, with increases ranging from 20.37% to 55.32%. It also demonstrated substantial improvements over the baseline model in terms of Sharpe ratio and maximum drawdown, indicating increased excess returns per unit of total risk and reduced investment risk. These results underscore the efficiency and effectiveness of CMR-DQN in handling multi-scale time series data and optimizing stock market decisions. Full article
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<p>The architecture of CMR-DQN framework.</p>
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<p>The structural diagram of DWT-TCN.</p>
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<p>Working diagram of Rainbow DQN.</p>
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<p>Dueling architecture network.</p>
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<p>The accumulation of rewards and the variation trend of the loss function during the training process of the CMR-DQN model on six datasets.</p>
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<p>Results of Different Models on Six Datasets.</p>
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15 pages, 3559 KiB  
Article
Advanced Denoising and Meta-Learning Techniques for Enhancing Smart Health Monitoring Using Wearable Sensors
by Minyechil Alehegn Tefera, Amare Mulatie Dehnaw, Yibeltal Chanie Manie, Cheng-Kai Yao, Shegaw Demessie Bogale and Peng-Chun Peng
Future Internet 2024, 16(8), 280; https://doi.org/10.3390/fi16080280 - 5 Aug 2024
Viewed by 438
Abstract
This study introduces a novel meta-learning method to enhance diabetes detection using wearable sensor systems in smart health applications. Wearable sensor technology often needs to operate accurately across a wide range of users, each characterized by unique physiological and behavioral patterns. However, the [...] Read more.
This study introduces a novel meta-learning method to enhance diabetes detection using wearable sensor systems in smart health applications. Wearable sensor technology often needs to operate accurately across a wide range of users, each characterized by unique physiological and behavioral patterns. However, the specific data for a particular application or user group might be scarce. Moreover, collecting extensive training data from wearable sensor experiments is challenging, time-consuming, and expensive. In these cases, meta-learning can be particularly useful. This model can quickly adapt to the nuances of new users or specific applications with minimal data. Therefore, to solve the need for a huge amount of training data and to enable the application of artificial intelligence (AI) in data-scarce scenarios, a meta-learning method is proposed. This meta-learning model has been implemented to forecast diabetes, resolve cross-talk issues, and accurately detect R peaks from overlapping electrocardiogram (ECG) signals affected by movement artifacts, poor electrode contact, electrical interference, or muscle activity. Motion artifacts from body movements, external conditions such as temperature, humidity, and electromagnetic interference, and the inherent quality and calibration of the sensor can all contribute to noise. Contact quality between the sensor and the skin, signal processing errors, power supply variations, user-generated interference from activities like talking or exercising, and the materials used in the wearable device also play significant roles in the overall noise in wearable sensor data and can significantly distort the true signal, leading to erroneous interpretations and potential diagnostic errors. Furthermore, discrete wavelet transform (DWT) was also implemented to improve the quality of the data and enhance the performance of the proposed model. The demonstrated results confirmed that with only a limited amount of target data, the proposed meta-learning and DWT denoising method can adapt more quickly and improve the detection of diabetes compared to the traditional method. Therefore, the proposed system is cost-effective, flexible, faster, and adaptable, reduces the need for training data, and can enhance the accuracy of chronic disease detection such as diabetes for smart health systems. Full article
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<p>Proposed discrete wavelet transform (DWT) multi-level denoising (<b>a</b>) before applying the denoising technique, (<b>b</b>) after applying the denoising technique.</p>
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<p>The scheme and implementation framework of the proposed system.</p>
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<p>Proposed technique performance based on RMSE and MSE according to various iterations (k) steps.</p>
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<p>Comparison of performance of meta-learning, without pre-train, after fine-tune, and before fine-tune in terms of MAE and time.</p>
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<p>Predicted vs actual glucose level using the proposed method.</p>
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<p>ROC curve of the proposed model.</p>
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<p>Detected r-peaks using the proposed method.</p>
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<p>Performance of different models.</p>
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15 pages, 7882 KiB  
Article
The Prediction and Evaluation of Surface Quality during the Milling of Blade-Root Grooves Based on a Long Short-Term Memory Network and Signal Fusion
by Jing Ni, Kai Chen, Zhen Meng, Zuji Li, Ruizhi Li and Weiguang Liu
Sensors 2024, 24(15), 5055; https://doi.org/10.3390/s24155055 - 5 Aug 2024
Viewed by 328
Abstract
The surface quality of milled blade-root grooves in industrial turbine blades significantly influences their mechanical properties. The surface texture reveals the interaction between the tool and the workpiece during the machining process, which plays a key role in determining the surface quality. In [...] Read more.
The surface quality of milled blade-root grooves in industrial turbine blades significantly influences their mechanical properties. The surface texture reveals the interaction between the tool and the workpiece during the machining process, which plays a key role in determining the surface quality. In addition, there is a significant correlation between acoustic vibration signals and surface texture features. However, current research on surface quality is still relatively limited, and most considers only a single signal. In this paper, 160 sets of industrial field data were collected by multiple sensors to study the surface quality of a blade-root groove. A surface texture feature prediction method based on acoustic vibration signal fusion is proposed to evaluate the surface quality. Fast Fourier transform (FFT) is used to process the signal, and the clean and smooth features are extracted by combining wavelet denoising and multivariate smoothing denoising. At the same time, based on the gray-level co-occurrence matrix, the surface texture image features of different angles of the blade-root groove are extracted to describe the texture features. The fused acoustic vibration signal features are input, and the texture features are output to establish a texture feature prediction model. After predicting the texture features, the surface quality is evaluated by setting a threshold value. The threshold is selected based on all sample data, and the final judgment accuracy is 90%. Full article
(This article belongs to the Section Sensor Networks)
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<p>Data acquisition platform.</p>
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<p>(<b>a</b>–<b>c</b>) represent the images of the entrance, middle, and exit sections of the workpiece after milling.</p>
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<p>(<b>a</b>) is the signal and workpiece surface in the first machining case. (<b>b</b>) is the signal and workpiece surface in the tenth machining case.</p>
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<p>Signals after wavelet denoising processing.</p>
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<p>Polynomial smoothing window processing signal.</p>
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<p>Surface quality evaluation process.</p>
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<p>Surface texture features prediction process.</p>
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<p>Loss function under mean square error.</p>
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<p>Variation in texture features with the number of cuts.</p>
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<p>Comparison of evaluation results of models under different input signals.</p>
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20 pages, 39488 KiB  
Article
EffiMultiOrthoBearNet: An Efficient Lightweight Architecture for Bearing Fault Diagnosis
by Wenyin Yang, Zepeng Wu, Li Ma, Linjiu Guo and Yumin Chang
Electronics 2024, 13(15), 3081; https://doi.org/10.3390/electronics13153081 - 3 Aug 2024
Viewed by 484
Abstract
Amidst the advent of Industry 4.0 and the rapid advancements in smart manufacturing, the imperative for developing resource-efficient condition monitoring and fault prediction technologies tailored for industrial equipment in resource-limited settings has become increasingly evident. This study puts forward EffiMultiOrthoBearNet, an innovative, lightweight, [...] Read more.
Amidst the advent of Industry 4.0 and the rapid advancements in smart manufacturing, the imperative for developing resource-efficient condition monitoring and fault prediction technologies tailored for industrial equipment in resource-limited settings has become increasingly evident. This study puts forward EffiMultiOrthoBearNet, an innovative, lightweight, deep learning model specifically designed for the accurate identification and classification of bearing faults. Central to EffiMultiOrthoBearNet’s architecture is the integration of multi-scale convolutional layers and orthogonal attention mechanisms—key innovations that significantly enhance the model’s performance. Leveraging advanced feature extraction capabilities, EffiMultiOrthoBearNet meticulously processes Continuous Wavelet Transform (CWT) images from the CWRU dataset, ensuring the precise delineation of essential bearing signal traits through its multi-scale and attention-enhanced mechanisms. Optimized for supreme operational efficiency in resource-deprived environments, EffiMultiOrthoBearNet achieves unmatched classification accuracy—up to 100% under ideal circumstances and consistently above 90% amidst significant noise and operational complexities. Demonstrating remarkable adaptability and efficiency, EffiMultiOrthoBearNet provides a pioneering and practical fault diagnosis solution for industrial machinery across a wide range of application scenarios, even under stringent resource limitations. Full article
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<p>OrthoNet Model Structure.</p>
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<p>DepthOrthoBlock and OrthoConvBlock structures: (<b>a</b>) DepthOrthoBlock; (<b>b</b>) OrthoConvBlock.</p>
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<p>Architecture of EffiMultiOrthoBearNet.</p>
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<p>The flowchart of the bearing fault diagnosis system based on EffiMultiOrthoBearNet.</p>
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<p>Bearing data source from Case Western Reserve University.</p>
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<p>Illustration of signal-to-image conversion using CWT.</p>
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<p>Comparative heatmap of diagnostic performance across different models on the CWRU dataset.</p>
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<p>Feature visualization using t-SNE by different methods. (<b>a</b>) VGG16; (<b>b</b>) Resnet152; (<b>c</b>) VIT-S; (<b>d</b>) ConvNeXt-S; (<b>e</b>) Swin-S; (<b>f</b>) EffiMultiOrthoBearNet.</p>
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<p>Confusion matrices of methods: (<b>a</b>) VGG16; (<b>b</b>) Resnet152; (<b>c</b>) VIT-S; (<b>d</b>) ConvNeXt-S; (<b>e</b>) Swin-S; (<b>f</b>) EffiMultiOrthoBearNet.</p>
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<p>Performance comparison of different diagnostic models on the CWRU dataset: (<b>a</b>) Params; (<b>b</b>) MAdd; (<b>c</b>) FLOPs.</p>
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<p>Model performance under different signal-to-noise ratios.</p>
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<p>Heatmap of diagnostic model accuracy across different operating conditions.</p>
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24 pages, 14880 KiB  
Article
A New Cross-Domain Motor Fault Diagnosis Method Based on Bimodal Inputs
by Qianming Shang, Tianyao Jin and Mingsheng Chen
J. Mar. Sci. Eng. 2024, 12(8), 1304; https://doi.org/10.3390/jmse12081304 - 1 Aug 2024
Viewed by 337
Abstract
Electric motors are indispensable electrical equipment in ships, with a wide range of applications. They can serve as auxiliary devices for propulsion, such as air compressors, anchor winches, and pumps, and are also used in propulsion systems; ensuring the safe and reliable operation [...] Read more.
Electric motors are indispensable electrical equipment in ships, with a wide range of applications. They can serve as auxiliary devices for propulsion, such as air compressors, anchor winches, and pumps, and are also used in propulsion systems; ensuring the safe and reliable operation of motors is crucial for ships. Existing deep learning methods typically target motors under a specific operating state and are susceptible to noise during feature extraction. To address these issues, this paper proposes a Resformer model based on bimodal input. First, vibration signals are transformed into time–frequency diagrams using continuous wavelet transform (CWT), and three-phase current signals are converted into Park vector modulus (PVM) signals through Park transformation. The time–frequency diagrams and PVM signals are then aligned in the time sequence to be used as bimodal input samples. The analysis of time–frequency images and PVM signals indicates that the same fault condition under different loads but at the same speed exhibits certain similarities. Therefore, data from the same fault condition under different loads but at the same speed are combined for cross-domain motor fault diagnosis. The proposed Resformer model combines the powerful spatial feature extraction capabilities of the Swin-t model with the excellent fine feature extraction and efficient training performance of the ResNet model. Experimental results show that the Resformer model can effectively diagnose cross-domain motor faults and maintains performance even under different noise conditions. Compared with single-modal models (VGG-11, ResNet, ResNeXt, and Swin-t), dual-modal models (MLP-Transformer and LSTM-Transformer), and other large models (Swin-s, Swin-b, and VGG-19), the Resformer model exhibits superior overall performance. This validates the method’s effectiveness and accuracy in the intelligent recognition of common cross-domain motor faults. Full article
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<p>(<b>a</b>) ResNet-18 network structure; (<b>b</b>) residual block structure.</p>
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<p>Swin-t model structure.</p>
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<p>Two successive Swin Transformer Blocks.</p>
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<p>Resformer model structure.</p>
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<p>The experimental platform. (<b>a</b>) Motor test bench; (<b>b</b>) digital data acquisition system.</p>
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<p>Normal motor data processing procedure.</p>
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<p>Stator single-phase open fault motor data processing procedure.</p>
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<p>Typical vibration signal diagram, CWT images, and FFT images of the motor under different loads in a steady state.</p>
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<p>Typical PVM images and sample plots of the motor under different loads in a steady state.</p>
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<p>The training processes of the various single-modal models.</p>
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<p>Accuracy of different single-modal models under noise interference.</p>
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<p>The training processes of the various double-modal models.</p>
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<p>Confusion matrix of different models. (<b>a</b>) Swin-t model. (<b>b</b>) MLP-Transformer model. (<b>c</b>) LSTM-Transformer model. (<b>d</b>) Resformer model.</p>
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<p>Accuracy of Swin-t and different double-modal models under noise interference.</p>
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<p>The confusion matrix for the Resformer model under different noise impacts. (<b>a</b>) 30 dB; (<b>b</b>) 20 dB; (<b>c</b>) 13 dB; (<b>d</b>) 10 dB.</p>
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24 pages, 44119 KiB  
Article
Chebyshev Chaotic Mapping and DWT-SVD-Based Dual Watermarking Scheme for Copyright and Integrity Authentication of Remote Sensing Images
by Jie Zhang, Jinglong Du, Xu Xi and Zihao Yang
Symmetry 2024, 16(8), 969; https://doi.org/10.3390/sym16080969 - 30 Jul 2024
Viewed by 633
Abstract
Symmetries and symmetry-breaking play significant roles in data security. While remote sensing images, being extremely sensitive geospatial data, require protection against tampering or destruction, as well as assurance of the reliability of the data source during application. In view of the increasing complexity [...] Read more.
Symmetries and symmetry-breaking play significant roles in data security. While remote sensing images, being extremely sensitive geospatial data, require protection against tampering or destruction, as well as assurance of the reliability of the data source during application. In view of the increasing complexity of data security of remote sensing images, a single watermark algorithm is no longer adequate to meet the demand of sophisticated applications. Therefore, this study proposes a dual watermarking algorithm that considers both integrity authentication and copyright protection of remote sensing images. The algorithm utilizes Discrete Wavelet Transform (DWT) to decompose remote sensing images, then constructs integrity watermark information by applying Chebyshev mapping to the mean of horizontal and vertical components. This semi-fragile watermark information is embedded into the high-frequency region of DWT using Quantization Index Modulation (QIM). On the other hand, the robust watermarking uses entropy to determine the embedding position within the DWT domain. It combines the stability of Singular Value Decomposition (SVD) and embeds the watermark according to the relationship between the singular values of horizontal, vertical, and high-frequency components. The experiment showed that the proposed watermarking successfully maintains a high level of invisibility even if embedded with dual watermarks. The semi-fragile watermark can accurately identify tampered regions in remote sensing images under conventional image processing. Moreover, the robust watermark exhibits excellent resistance to various attacks such as noise, filtering, compression, panning, rotating, and scaling. Full article
(This article belongs to the Special Issue Symmetries and Symmetry-Breaking in Data Security)
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<p>False alarm optimization.</p>
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<p>Watermark embedding process.</p>
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<p>Watermark extraction process.</p>
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<p>Experimental datasets. (<b>a</b>) Anhui; (<b>b</b>) Xinjiang; (<b>c</b>) Suzhou; (<b>d</b>) Jinlin; (<b>e</b>) Nanning; (<b>f</b>) Huaian.</p>
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<p>Original and scrambled watermarks. (<b>a</b>) Original watermark; (<b>b</b>) scrambled watermark.</p>
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<p>Efficiency analysis. Duan et al.+2022 is reference [<a href="#B35-symmetry-16-00969" class="html-bibr">35</a>]; Liu et al.+2019 is reference [<a href="#B36-symmetry-16-00969" class="html-bibr">36</a>]; Hua et al.+2024 is reference [<a href="#B15-symmetry-16-00969" class="html-bibr">15</a>].</p>
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<p>The results of noise attacks. (<b>a</b>) Salt and pepper; (<b>b</b>) Gaussian; (<b>c</b>) speckle. Duan et al.+2022 is reference [<a href="#B35-symmetry-16-00969" class="html-bibr">35</a>]; Liu et al.+2019 is reference [<a href="#B36-symmetry-16-00969" class="html-bibr">36</a>]; Hua et al.+2024 is reference [<a href="#B15-symmetry-16-00969" class="html-bibr">15</a>].</p>
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<p>Geometric attack results. (<b>a</b>) Translation; (<b>b</b>) rotation; (<b>c</b>) scaling. Duan et al.+2022 is reference [<a href="#B35-symmetry-16-00969" class="html-bibr">35</a>]; Liu et al.+2019 is reference [<a href="#B36-symmetry-16-00969" class="html-bibr">36</a>]; Hua et al.+2024 is reference [<a href="#B15-symmetry-16-00969" class="html-bibr">15</a>].</p>
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<p>The results of a filtering attack. (<b>a</b>) Gaussian filtering; (<b>b</b>) mean filtering; (<b>c</b>) median filtering. Duan et al.+2022 is reference [<a href="#B35-symmetry-16-00969" class="html-bibr">35</a>]; Liu et al.+2019 is reference [<a href="#B36-symmetry-16-00969" class="html-bibr">36</a>]; Hua et al.+2024 is reference [<a href="#B15-symmetry-16-00969" class="html-bibr">15</a>].</p>
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<p>The results of compression attack. Duan et al.+2022 is reference [<a href="#B35-symmetry-16-00969" class="html-bibr">35</a>]; Liu et al.+2019 is reference [<a href="#B36-symmetry-16-00969" class="html-bibr">36</a>]; Hua et al.+2024 is reference [<a href="#B15-symmetry-16-00969" class="html-bibr">15</a>].</p>
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19 pages, 3269 KiB  
Article
Comparative Analysis with Statistical and Machine Learning for Modeling Overall and High Salinity along the Scheldt Estuary
by Boli Zhu, Tingli Wang, Joke De Meester and Patrick Willems
Water 2024, 16(15), 2150; https://doi.org/10.3390/w16152150 - 30 Jul 2024
Viewed by 398
Abstract
Saltwater intrusion is an essential problem in estuaries that can threaten the ecological environment, especially in high-salinity situations. Therefore in this paper, traditional multiple linear regression (MLR) and artificial neural network (ANN) modeling are applied to forecast overall and high salinity in the [...] Read more.
Saltwater intrusion is an essential problem in estuaries that can threaten the ecological environment, especially in high-salinity situations. Therefore in this paper, traditional multiple linear regression (MLR) and artificial neural network (ANN) modeling are applied to forecast overall and high salinity in the Lower Scheldt Estuary, Belgium. Mutual information (MI) and conditional mutual information (CMI) are used to select optimal driving forces (DFs), with the daily discharge (Q), daily water temperature (WT), and daily sea level (SL) selected as the main DFs. Next, we analyze whether applying a discrete wavelet transform (DWT) to remove the noise from the original time series improves the results. Here, the DWT is applied in Signal-hybrid (SH) and Within-hybrid (WH) frameworks. Both the MLR and ANN models demonstrate satisfactory performance in daily overall salinity simulation over the Scheldt Estuary. The relatively complex ANN models outperform MLR because of their capabilities of capturing complex interactions. Because the nonlinear relationship between salinity and DFs is variable at different locations, the performance of the MLR models in the midstream region is far inferior to that in the downstream region during spring and winter. The results reveal that the application of DWT enhances simulation of both overall and high salinity in this region, especially for the ANN model with the WH framework. With the effect of Q decline or SL rise, the salinity in the middle Scheldt Estuary increases more significantly, and the ANN models are more sensitive to these perturbations. Full article
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<p>The Scheldt Estuary and locations of meteorological and salinity stations.</p>
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<p>The top panel indicates the optimal moving averaged days for log-transformed Q. The bottom panel shows MI, CMI1, and CMI2 values between the observed salinity and DFs (Q, WT, SL, WS, and AT) for the ten stations.</p>
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<p>Performance statistics (NSE and RMSE) for salinity simulations for the ten stations using six DD models during calibration and validation periods. The maximum NSE and Minimum RMSE values per station are highlighted in black.</p>
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<p>Simulated and observed daily salinity time series at station ‘Prosperpolder’ using six models during calibration and validation periods. The right panel shows time series plots. The left panel shows scatter plots, where NSE, RMSE, and MAPE are calculated for calibration (in red) and validation periods (in grey).</p>
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<p>Simulated and observed daily salinity time series at station ‘Kruibeke’ using six models during calibration and validation periods. Other information is the same as in <a href="#water-16-02150-f004" class="html-fig">Figure 4</a>.</p>
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<p>Taylor diagram of seasonal salinity simulation for the ten stations using six models during the validation period.</p>
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<p>RE between simulated and observed salinity at the 50th, 75th, 95th, and 99th percentiles from the six models during the validation period. The lowest RE values among the six models per station are shown in bold.</p>
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<p>RE between the perturbed scenarios and original simulations from the six models during the whole study period.</p>
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