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22 pages, 1564 KiB  
Article
Gait-To-Gait Emotional Human–Robot Interaction Utilizing Trajectories-Aware and Skeleton-Graph-Aware Spatial–Temporal Transformer
by Chenghao Li, Kah Phooi Seng and Li-Minn Ang
Sensors 2025, 25(3), 734; https://doi.org/10.3390/s25030734 (registering DOI) - 25 Jan 2025
Viewed by 247
Abstract
The emotional response of robotics is crucial for promoting the socially intelligent level of human–robot interaction (HRI). The development of machine learning has extensively stimulated research on emotional recognition for robots. Our research focuses on emotional gaits, a type of simple modality that [...] Read more.
The emotional response of robotics is crucial for promoting the socially intelligent level of human–robot interaction (HRI). The development of machine learning has extensively stimulated research on emotional recognition for robots. Our research focuses on emotional gaits, a type of simple modality that stores a series of joint coordinates and is easy for humanoid robots to execute. However, a limited amount of research investigates emotional HRI systems based on gaits, indicating an existing gap in human emotion gait recognition and robotic emotional gait response. To address this challenge, we propose a Gait-to-Gait Emotional HRI system, emphasizing the development of an innovative emotion classification model. In our system, the humanoid robot NAO can recognize emotions from human gaits through our Trajectories-Aware and Skeleton-Graph-Aware Spatial–Temporal Transformer (TS-ST) and respond with pre-set emotional gaits that reflect the same emotion as the human presented. Our TS-ST outperforms the current state-of-the-art human-gait emotion recognition model applied to robots on the Emotion-Gait dataset. Full article
20 pages, 22102 KiB  
Article
Mapping of Fluvial Morphological Units from Sentinel-1 Data Using a Deep Learning Approach
by Massimiliano Gargiulo, Carmela Cavallo and Maria Nicolina Papa
Remote Sens. 2025, 17(3), 366; https://doi.org/10.3390/rs17030366 - 22 Jan 2025
Viewed by 356
Abstract
The identification of ongoing evolutionary trajectories, the prediction of future changes in the functioning of riverine habitats, and the assessment of flood-related risks to human populations all depend on regular hydro-morphological monitoring of fluvial settings. This paper focuses on the satellite monitoring of [...] Read more.
The identification of ongoing evolutionary trajectories, the prediction of future changes in the functioning of riverine habitats, and the assessment of flood-related risks to human populations all depend on regular hydro-morphological monitoring of fluvial settings. This paper focuses on the satellite monitoring of river macro-morphological units (assemblages of water, sediment, and vegetation units) and their temporal evolution. In particular, we develop a deep-learning semantic segmentation method using Synthetic Aperture Radar (SAR) Sentinel-1 dual-polarized data. The methodology is executed and tested on the Po River, located in Italy. The training of a relatively deep convolutional neural network requires a large amount of ground-truth data, which is often limited and challenging to acquire. To address this limitation, the dataset is augmented using a random forest (RF) classification algorithm. RF parameters are trained with both Sentinel-1 (S1) and Sentinel-2 (S2) data. The RF classification algorithm is very robust and achieves excellent performance. To overcome the limitation linked with the scarce availability of contemporary acquisition by S1 and S2 sensors, the deep learning (DL) model is trained by using only the Sentinel-1 input data and the ground truth from the RF result. The proposed approach achieves promising results in the classification of water, sediments, and vegetation along rivers such as the Italian Po River with low computational costs and no concurrency constraints between S1 and S2. Full article
(This article belongs to the Special Issue Remote Sensing and GIS in Freshwater Environments)
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Figure 1
<p>(<b>a</b>) Main channel of the Po River, highlighting the locations of the cases study. (<b>b</b>) View of Boretto-Borgoforte area. (<b>c</b>) View of Ostiglia island.</p>
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<p>The processing chain on S1 and S2 data to train the Random Forest model using expert knowledge on fluvial morphological conditions.</p>
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<p>(<b>a</b>) false colour RGB visualization of Sentinel-1 (R: VH, G: VV, B: <math display="inline"><semantics> <mstyle scriptlevel="0" displaystyle="true"> <mfrac> <mrow> <mi>V</mi> <mi>H</mi> </mrow> <mrow> <mi>V</mi> <mi>V</mi> </mrow> </mfrac> </mstyle> </semantics></math>) and (<b>b</b>) RGB of Sentinel-2 on site under investigation.</p>
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<p>Polygons, manually extracted in GEE, and evaluated in Random Forest Algorithm. In the image, green polygons is for the vegetation, yellow ones for the sediments, and blue for the water.</p>
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<p>The general workflow of the proposed method to train the proposed CUN2Net architecture. The S1 and S2 pre-processing block is the same as in <a href="#remotesensing-17-00366-f002" class="html-fig">Figure 2</a>.</p>
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<p>The general workflow to use and test the trained CUN2Net architecture. The S1 and S2 pre-processing block is the same as in <a href="#remotesensing-17-00366-f002" class="html-fig">Figure 2</a>.</p>
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<p>The proposed CUN2Net architecture.</p>
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<p>Comparison between three multi-temporal configurations of the proposed CUN2Net architecture in the testing area under investigation: blue is for the water class, red for the sediments, green for the vegetation.</p>
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<p>Comparison between the W-Net architecture, proposed in [<a href="#B44-remotesensing-17-00366" class="html-bibr">44</a>], the modified W-Net, and the proposed CUN2Net architecture in the testing area under investigation: blue is for the water class, red for the sediments, green for the vegetation.</p>
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<p>Comparison between three different weight configurations of the proposed CUN2Net architecture in the testing area under investigation: blue is for the water class, red for the sediments, green for the vegetation.</p>
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<p>Two examples of intermediate VV output (<b>c</b>) that represented the despeckled version of the inputs (<b>b</b>). The areas are also shown in Sentinel-2 RGB representation (<b>a</b>).</p>
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20 pages, 3313 KiB  
Article
Research on Ship-Type Recognition Based on Fusion of Ship Trajectory Image and AIS Time Series Data
by Zhengpeng Pu, Yuan Hong, Yuling Hu and Jingang Jiang
Electronics 2025, 14(3), 431; https://doi.org/10.3390/electronics14030431 - 22 Jan 2025
Viewed by 285
Abstract
Achieving accurate and efficient ship-type recognition is crucial for the development and management of modern maritime traffic systems. To overcome the limitations of existing methods that rely solely on AIS time series data or navigation trajectory images as single-modal approaches, this study introduces [...] Read more.
Achieving accurate and efficient ship-type recognition is crucial for the development and management of modern maritime traffic systems. To overcome the limitations of existing methods that rely solely on AIS time series data or navigation trajectory images as single-modal approaches, this study introduces TrackAISNet, a multimodal ship classification model that seamlessly integrates ship trajectory images with AIS time series data for improved performance. The model employs a parallel structure, utilizing a lightweight neural network to extract features from trajectory images, and a specially designed TCN-GA (Temporal Convolutional Network with Global Attention) to capture the temporal dependencies and long-range relationships in the AIS time series data. The extracted image features and temporal features are then fused, and the combined features are fed into a classification network for final classification. We conducted experiments on a self-constructed dataset of variable-length AIS time series data comprising four types of ships. The results show that the proposed model achieved an accuracy of 81.38%, recall of 81.11%, precision of 80.95%, and an F1 score of 81.38%, outperforming the benchmark single-modal algorithms. Additionally, on a publicly available dataset containing three types of fishing vessel operations, the model demonstrated improvements in accuracy, recall, and F1 scores by 5.5%, 4.88%, and 5.88%, respectively. Full article
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Figure 1
<p>TCN comparison with TCN-GA.</p>
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<p>TrackAISNet.</p>
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<p>Trajectory distribution of cargo, fishing, passenger, and tanker vessels.</p>
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<p>Missing data heatmap.</p>
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<p>Data preprocessing workflow.</p>
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<p>Simulation experiment with interpolation methods.</p>
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<p>Trajectory images for different types of vessels.</p>
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<p>Statistics of dataset.</p>
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<p>ROC curve at epoch = 3.</p>
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<p>ROC curve at epoch = 10.</p>
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19 pages, 3113 KiB  
Article
Cortical Diffusivity, a Biomarker for Early Neuronal Damage, Is Associated with Amyloid-β Deposition: A Pilot Study
by Justine Debatisse, Fangda Leng, Azhaar Ashraf and Paul Edison
Cells 2025, 14(3), 155; https://doi.org/10.3390/cells14030155 - 21 Jan 2025
Viewed by 338
Abstract
Pathological alterations in Alzheimer’s disease (AD) begin several years prior to symptom onset. Cortical mean diffusivity (cMD) may be used as a measure of early grey matter damage in AD as it reflects the breakdown of microstructural barriers preceding volumetric changes and affecting [...] Read more.
Pathological alterations in Alzheimer’s disease (AD) begin several years prior to symptom onset. Cortical mean diffusivity (cMD) may be used as a measure of early grey matter damage in AD as it reflects the breakdown of microstructural barriers preceding volumetric changes and affecting cognitive function. We investigated cMD changes early in the disease trajectory and evaluated the influence of amyloid-β (Aβ) and tau deposition. In this cross-sectional study, we analysed multimodal PET, DTI, and MRI data of 87 participants, and stratified them into Aβ-negative and -positive, cognitively normal, mildly cognitively impaired, and AD patients. cMD was significantly increased in Aβ-positive MCI and AD compared with CN in the frontal, parietal, temporal cortex, hippocampus, and medial temporal lobe. cMD was significantly correlated with cortical thickness only in patients without Aβ deposition but not in Aβ-positive patients. Our results suggest that cMD is an early marker of neuronal damage since it is observed simultaneously with Aβ deposition and is correlated with cortical thickness only in subjects without Aβ deposition. cMD changes may be driven by Aβ but not tau, suggesting that direct Aβ toxicity or associated inflammation causes damage to neurons. cMD may provide information about early microstructural changes before macrostructural changes. Full article
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<p>Flow diagram demonstrating patients screening and inclusions. CN Aβ-positive and Aβ-negative AD were excluded from further analysis. AD—Alzheimer’s disease; CN—cognitively normal; MCI—mild cognitive impairment.</p>
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<p>Bar charts representing cMD (<b>A</b>); Aβ deposition ([<sup>18</sup>F]flutemetamol SUVR; (<b>B</b>) and tau deposition ([<sup>18</sup>F]AV1451 SUVR; (<b>C</b>) in frontal, parietal, and temporal cortex. Line and error bars represent mean and 95% confidence interval. Aβ and tau are expressed as SUVR. cMD is expressed as 0.103 mm<sup>2</sup>/s. Bar charts (<b>D</b>) of clinical diagnostic group comparison of mean, frontal, parietal, and temporal cortical thickness.</p>
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<p>Relationship between cortical thickness and mean diffusivity in the Aβ-negative (CN and Aβ-negative MCI) and Aβ-positive subjects (Aβ-positive MCI and AD). Spearman’s rank correlation are used to determine r and <span class="html-italic">p</span>-values in the parietal cortex ((<b>A</b>) rho = −0.51, <span class="html-italic">p</span> &lt; 0.001; (<b>B</b>) rho = −0.06, <span class="html-italic">p</span> = 0.738), temporal cortex ((<b>C</b>) rho = −0.53, <span class="html-italic">p</span> &lt; 0.001; (<b>D</b>) rho = −0.22, <span class="html-italic">p</span> = 0.211), and whole brain ((<b>E</b>) rho = −0.0328, <span class="html-italic">p</span> = 0.852; (<b>F</b>) rho = −0.0328, <span class="html-italic">p</span> = 0.852). AD—Alzheimer’s disease; CN—cognitively normal; MCI—mild cognitive impairment; cMD—mean diffusivity. <a href="#cells-14-00155-f003" class="html-fig">Figure 3</a>A, rho = −0.51, <span class="html-italic">p</span> &lt; 0.001), temporal cortex (<a href="#cells-14-00155-f003" class="html-fig">Figure 3</a>C, rho = −0.53, <span class="html-italic">p</span> &lt; 0.001) and whole brain (<a href="#cells-14-00155-f003" class="html-fig">Figure 3</a>E, rho = −0.49, <span class="html-italic">p</span> = 0.001). Interestingly, we found no correlation in subjects who were Aβ-positive (i.e., Aβ-positive MCI and AD) in the same regions: parietal (<a href="#cells-14-00155-f003" class="html-fig">Figure 3</a>B, rho = −0.06, <span class="html-italic">p</span> = 0.738), temporal cortex (<a href="#cells-14-00155-f003" class="html-fig">Figure 3</a>D, rho = −0.22, <span class="html-italic">p</span> = 0.211), and whole brain (<a href="#cells-14-00155-f003" class="html-fig">Figure 3</a>F, rho = −0.0328, <span class="html-italic">p</span> = 0.852).</p>
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<p>Relationship between amyloid deposition and mean diffusivity in the Aβ-negative (CN and Aβ-negative MCI) and Aβ-positive subjects (Aβ-positive MCI and AD). Spearman’s rank correlation are used to determine r and <span class="html-italic">p</span>-values in parietal cortex ((<b>A</b>) rho = −0.125, <span class="html-italic">p</span> = 0.440; (<b>B</b>) rho = 0.087, <span class="html-italic">p</span> = 0.616), temporal cortex ((<b>C</b>) rho = −0.151, <span class="html-italic">p</span> = 0.350; (<b>D</b>) rho = 0.078, <span class="html-italic">p</span> = 0.654), and whole brain ((<b>E</b>) rho = −0.135, <span class="html-italic">p</span> = 0.405; (<b>F</b>) rho = 0.132, <span class="html-italic">p</span> = 0.447). No correlation was observed between Aβ and cMD. AD—Alzheimer’s disease; CN—cognitively normal; MCI—mild cognitive impairment; cMD—mean diffusivity.</p>
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<p>Relationship between tau deposition and mean diffusivity in the Aβ-negative (CN and Aβ-negative MCI) and Aβ-positive subjects (Aβ-positive MCI and AD). Spearman’s rank correlation are used to determine r and <span class="html-italic">p</span>-values in parietal cortex ((<b>A</b>) rho = −0.091, <span class="html-italic">p</span> = 0.797; (<b>B</b>) rho = −0.174, <span class="html-italic">p</span> = 0.503), temporal cortex ((<b>C</b>) rho = 0.400, <span class="html-italic">p</span> = 0.225; (<b>D</b>) rho = −0.064, <span class="html-italic">p</span> = 0.809), and whole brain ((<b>E</b>) rho = 0.273, <span class="html-italic">p</span> = 0.418; (<b>F</b>) rho = 0.113, <span class="html-italic">p</span> = 0.666). No correlation was observed between tau and cMD. AD—Alzheimer’s disease; CN—cognitively normal; MCI—mild cognitive impairment; cMD—mean diffusivity.</p>
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<p>Hypothetical framework of pathological events leading to neuronal damage in normal ageing and dementia. cMD is correlated with cortical thickness only in CN and Aβ-negative MCI participants. This suggests that cMD is associated with cortical atrophy when other pathologies (such as Aβ deposition) are not present. When other pathologies are present, such as neuroinflammation and tau aggregation, those pathologies induce damage to the dendrites and influence the cortical thickness.</p>
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15 pages, 3608 KiB  
Article
Trajectory Tracking Control Based on Deep Reinforcement Learning for a Robotic Manipulator with an Input Deadzone
by Fujie Wang, Jintao Hu, Yi Qin, Fang Guo and Ming Jiang
Symmetry 2025, 17(2), 149; https://doi.org/10.3390/sym17020149 - 21 Jan 2025
Viewed by 382
Abstract
This paper proposes a deep reinforcement learning (DRL) method that combines random network distillation (RND) and long short-term memory (LSTM) to address the tracking control problem, while leveraging the inherent symmetry in robotic arm movements to eliminate the need for learning or knowing [...] Read more.
This paper proposes a deep reinforcement learning (DRL) method that combines random network distillation (RND) and long short-term memory (LSTM) to address the tracking control problem, while leveraging the inherent symmetry in robotic arm movements to eliminate the need for learning or knowing the system’s dynamic model. In general, the complexity and strong coupling of robotic manipulators make trajectory tracking extremely challenging. Firstly, the prediction network and fixed network are jointly trained using the RND method. The difference in output values between the two networks acts as an internal reward for the robotic manipulator environment. This internal reward mechanism encourages the robotic arm agent to actively explore unpredictable and unknown environmental states, thereby consequently boosting the performance and efficiency of the tracking control for the robotic manipulator. Then, the Soft Actor-Critic (SAC) algorithm, the LSTM network, and the attention mechanism are integrated to resolve the instability problem during training and acquire a stable policy. The LSTM model effectively captures the symmetry and temporal changes in joint angles, while the attention mechanism dynamically prioritizes important features, thereby reducing the instability of the robotic manipulator during tracking tasks and enhancing feature extraction efficiency. The simulation outcomes demonstrate that the proposed method effectively performs the robot tracking task, confirming the efficacy and efficiency of the DRL algorithm. Full article
(This article belongs to the Section Computer)
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Figure 1
<p>(<b>a</b>) The 3-DOF Phantom Omni robot. (<b>b</b>) Schmetic representation of the robot manipultor.</p>
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<p>(<b>a</b>) The 3-DOF Phantom Omni robot. (<b>b</b>) Schmetic representation of the robot manipultor.</p>
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<p>A diagram showing how the agent learns during reinforcement learning.</p>
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<p>(<b>a</b>) The architecture of the actor network. (<b>b</b>) The architecture of the critic network.</p>
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<p>(<b>a</b>) The architecture of the actor network. (<b>b</b>) The architecture of the critic network.</p>
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<p>SLR algorithm demonstration.</p>
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<p>The standard deviation and variance of cumulative rewards for each episode. (<b>a</b>) Total rewards per episode. (<b>b</b>) Standard deviation of the rewards. (<b>c</b>) Variance of the accumulated rewards.</p>
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<p>The standard deviation and variance of cumulative rewards for each episode. (<b>a</b>) Total rewards per episode. (<b>b</b>) Standard deviation of the rewards. (<b>c</b>) Variance of the accumulated rewards.</p>
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<p>Tracking position, tracking error, and torque in the no-deadzone environment. (<b>a</b>–<b>c</b>) Tracking position. (<b>d</b>–<b>f</b>) Tracking error. (<b>g</b>–<b>i</b>) Torque.</p>
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<p>Tracking position, tracking error, and torque in the deadzone environment. (<b>a</b>–<b>c</b>) Tracking position. (<b>d</b>–<b>f</b>) Tracking error. (<b>g</b>–<b>i</b>) Torque.</p>
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29 pages, 4378 KiB  
Article
Analysis of Sparse Trajectory Features Based on Mobile Device Location for User Group Classification Using Gaussian Mixture Model
by Yohei Kakimoto, Yuto Omae and Hirotaka Takahashi
Appl. Sci. 2025, 15(2), 982; https://doi.org/10.3390/app15020982 - 20 Jan 2025
Viewed by 502
Abstract
Location data collected from mobile devices via global positioning system often lack semantic information and can form sparse trajectories in space and time. This study investigates whether user age groups can be accurately classified solely from such sparse spatial–temporal trajectories. We propose a [...] Read more.
Location data collected from mobile devices via global positioning system often lack semantic information and can form sparse trajectories in space and time. This study investigates whether user age groups can be accurately classified solely from such sparse spatial–temporal trajectories. We propose a feature extraction method based on a Gaussian mixture model (GMM), which assigns representative points (RPs) by clustering the location data and aggregating user trajectories into these RPs. We then construct three machine learning (ML) models—support vector classifier (SVC), random forest (RF), and deep neural network (DNN)—using the GMM-based features and compare their performance with that of the improved DNN (IDNN), which is an existing feature extraction approach. In our experiments, we introduced a missing value ratio θth to quantify trajectory sparsity and analyzed the effect of trajectory sparsity on the classification accuracy and generalizability performance of the ML models. The results indicate that GMM-based features outperform IDNN-based features in both classification accuracy and generalization performance. Notably, the RF model achieved the highest accuracy, whereas the SVC model displayed stable generalizability. As the missing value ratio θth increases, the IDNN becomes more susceptible to overfitting, whereas the GMM-based approach preserves accuracy and robustness. These findings suggest that sparse trajectories can still offer meaningful classification performance with appropriate feature design and model selection even without semantic information. This approach holds promise for domains where large-scale, sparse trajectory data are common, including urban planning, marketing analysis, and public policy. Full article
(This article belongs to the Special Issue Data Analysis and Data Mining for Knowledge Discovery)
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<p>Data distribution for missing value ratio <math display="inline"><semantics> <mrow> <msub> <mi>θ</mi> <mi>k</mi> </msub> <mo>,</mo> <mo>∀</mo> <mi>k</mi> <mo>∈</mo> <mi>K</mi> </mrow> </semantics></math> for the PTDP data. These data were acquired from January to June 2021 in Narashino, Chiba, Japan. There are differences in the quantities of data among the missing value ratios. In particular, because the data range of 0.99–1.00 accounts for 60% of all user data, this figure shows that the user trajectories obtained from mobile devices in the area and in that period are very sparse.</p>
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<p>Imputation method based on the assumption as described in <a href="#sec3dot3-applsci-15-00982" class="html-sec">Section 3.3</a>. Data between two temporally continuous nodes are linearly imputed.</p>
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<p>Procedure for generating feature vectors <math display="inline"><semantics> <msubsup> <mrow> <mi mathvariant="bold-italic">f</mi> </mrow> <mi>k</mi> <mi>GMM</mi> </msubsup> </semantics></math> from <math display="inline"><semantics> <msub> <mi>L</mi> <mi>k</mi> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>T</mi> <mi>k</mi> </msub> </semantics></math>.</p>
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<p>(<b>a</b>) SDA. (<b>b</b>) Fine-tuning of the DNN obtained via SDA.</p>
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<p>Data distribution by class and month. The raw location data are imbalanced. Undersampling is conducted based on the black line, i.e., <math display="inline"><semantics> <msup> <mi>S</mi> <mo>′</mo> </msup> </semantics></math>.</p>
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<p>Data distribution for the missing value rate <math display="inline"><semantics> <mrow> <msub> <mi>θ</mi> <mi>k</mi> </msub> <mo>,</mo> <mo>∀</mo> <mi>k</mi> <mo>∈</mo> <mi>K</mi> </mrow> </semantics></math> by month. Although there are differences in the data quantity, the distributions’ shapes for each missing value rate between months are almost the same.</p>
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<p>Diagram of fivefold GS+SV for tuning the hyperparameters of the ML models. This process increases the model performance and reduces overfitting of the model on the training data.</p>
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<p>Summary of a series of experimental procedures.</p>
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<p>Average and standard deviation (1SD) of 20 accuracies on test data by month for the <math display="inline"><semantics> <mrow> <msub> <mi>θ</mi> <mi>th</mi> </msub> <mo>=</mo> <mn>1.00</mn> </mrow> </semantics></math> and ML models. Each graph title indicates the maximum average and its standard deviation by components <span class="html-italic">n</span> in the form of average (1SD) and the <span class="html-italic">p</span>-value for the Shapiro–Wilk test for the accuracy distribution of 20 seeds obtained by components <span class="html-italic">n</span>. There is a tendency that the higher the number of GMD components is, the higher the accuracy across all months. Additionally, for all months, distribution normality for 20 accuracies is confirmed with <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>&gt;</mo> <mn>0.050</mn> </mrow> </semantics></math>, and accuracies are higher than those of random classification (<math display="inline"><semantics> <mrow> <mi>accuracy</mi> <mo>≈</mo> <mn>0.170</mn> </mrow> </semantics></math>) in the range of 3SD on components <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>&gt;</mo> <mn>2</mn> </mrow> </semantics></math>, with any accuracy average by SVC and RF.</p>
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<p>Average and standard deviation (1SD) of 20 accuracies on training data by month in <math display="inline"><semantics> <mrow> <msub> <mi>θ</mi> <mi>th</mi> </msub> <mo>=</mo> <mn>1.00</mn> </mrow> </semantics></math> and ML models. This metric is used to evaluate the generalization performance of the ML models, and the lower the difference in the accuracy of the test data is, the higher the generalization performance. Compared with the test data, SVC and DNN exhibit a gradual increase in accuracy with respect to the number of components <span class="html-italic">n</span>, whereas RF shows an increase in accuracy from smaller values of <span class="html-italic">n</span> compared with the other two models.</p>
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<p>This figure illustrates the trends in classification accuracy for the missing value ratio <math display="inline"><semantics> <msub> <mi>θ</mi> <mi>th</mi> </msub> </semantics></math> based on the combinations of feature extraction methods and ML models for each month. Averages of 20 accuracies on test data. The dashed horizontal line indicates the best accuracy among the combinations. The title shows the month with the best average accuracy (standard deviation), the combinations of the feature extraction method and the ML model provide the best accuracy, and the results of the Shapiro–Wilk test for the accuracy distribution of 20 seeds, where n.s. is <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>≥</mo> <mn>0.050</mn> </mrow> </semantics></math>. The best average accuracy values are higher than those of random classification (<math display="inline"><semantics> <mrow> <mi>accuracy</mi> <mo>≈</mo> <mn>0.170</mn> </mrow> </semantics></math>) in the range of 3SD in any month.</p>
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<p>Average of 20 accuracies on training data by <math display="inline"><semantics> <msub> <mi>θ</mi> <mi>th</mi> </msub> </semantics></math> for each month. The lower the difference between the accuracies of the training and test data is, the higher the generalization performance. The ML models using the IDNN show a wider range of accuracy differences between the training and test data than those using the GMM. This shows that features based on the GMM are more robust to overfitting than those based on the IDNN.</p>
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33 pages, 4104 KiB  
Article
Prediction of Marine Shaft Centerline Trajectories Using Transformer-Based Models
by Jialin Han, Qingbo Zhu, Sheng Yang, Wan Xia and Yongjun Yao
Symmetry 2025, 17(1), 137; https://doi.org/10.3390/sym17010137 - 18 Jan 2025
Viewed by 347
Abstract
The accurate prediction of marine shaft centerline trajectories is essential for ensuring the operational performance and safety of ships. In this study, we propose a novel Transformer-based model to forecast the lateral and longitudinal displacements of ship main shafts. A key challenge in [...] Read more.
The accurate prediction of marine shaft centerline trajectories is essential for ensuring the operational performance and safety of ships. In this study, we propose a novel Transformer-based model to forecast the lateral and longitudinal displacements of ship main shafts. A key challenge in this prediction task is capturing both short-term fluctuations and long-term dependencies in shaft displacement data, which traditional models struggle to address. Our Transformer-based model integrates Bidirectional Splitting–Agg Attention and Sequence Progressive Split–Aggregation mechanisms to efficiently process bidirectional temporal dependencies, decompose seasonal and trend components, and handle the inherent symmetry of the shafting system. The symmetrical nature of the shafting system, with left and right shafts experiencing similar dynamic conditions, aligns with the bidirectional attention mechanism, enabling the model to better capture the symmetric relationships in displacement data. Experimental results demonstrate that the proposed model significantly outperforms traditional methods, such as Autoformer and Informer, in terms of prediction accuracy. Specifically, for 96 steps ahead, the mean absolute error (MAE) of our model is 0.232, compared to 0.235 for Autoformer and 0.264 for Informer, while the mean squared error (MSE) of our model is 0.209, compared to 0.242 for Autoformer and 0.286 for Informer. These results underscore the effectiveness of Transformer-based models in accurately predicting long-term marine shaft centerline trajectories, leveraging both temporal dependencies and structural symmetry, thus contributing to maritime monitoring and performance optimization. Full article
(This article belongs to the Section Engineering and Materials)
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<p>Shafting system of a ship, illustrating key components involved in the power transmission from the main propulsion motor to the propeller.</p>
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<p>The architecture of time series forecasting based on Transformer models.</p>
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<p>Overall architecture diagram of BSAA algorithm model.</p>
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<p>Bidirectional Splitting–Agg Attention mechanism diagram.</p>
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<p>Sequence Progressive Split–Agg mechanism.</p>
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<p>Efficiency Analysis: For a fair comparison, we compared Informer, Autoformer, and Transformer models with the proposed Transformer-based model to verify its efficiency. On the ECL dataset, the output length exponentially increases with the input length of 96.</p>
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<p>Visualizes the predictions for the ETTm2 dataset across different models over 196 time steps. The horizontal axis represents the prediction time steps, while the vertical axis denotes the predicted value of the target variable., where image (<b>a</b>) represents the complete our model, image (<b>b</b>) represents our model without the SPSA mechanism, and image (<b>c</b>) represents the Autoformer [<a href="#B12-symmetry-17-00137" class="html-bibr">12</a>] model.</p>
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<p>Visualizations of univariate predictions on the ETTm1 dataset across different models over 720 time steps, where image (<b>a</b>) represents the complete model, image (<b>b</b>) represents the model without the SPSA mechanism, and image (<b>c</b>) represents the Autoformer [<a href="#B12-symmetry-17-00137" class="html-bibr">12</a>] model.</p>
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<p>Prediction of axial <span class="html-italic">x</span>-displacement over 720 time steps.</p>
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<p>Prediction of axial <span class="html-italic">y</span>-displacement over 720 time steps.</p>
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<p>Shaft centerline trajectory prediction over 720 time steps under different rotational speeds. (<b>a</b>): Predicted and actual trajectory of the left shaft at 200 RPM. (<b>b</b>): Predicted and actual trajectory of the right shaft at 200 RPM. (<b>c</b>): Predicted and actual trajectory of the left shaft at 250 RPM. (<b>d</b>): Predicted and actual trajectory of the right shaft at 250 RPM.</p>
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21 pages, 21641 KiB  
Article
Hybrid-Driven Dynamic Position Prediction of Robot End-Effector Integrating Parametric Dynamic Model and Machine Learning
by Hepeng Ni, Cong Xu, Yingxin Ye, Bo Chen, Shuangsheng Luo and Shuai Ji
Appl. Sci. 2025, 15(2), 895; https://doi.org/10.3390/app15020895 - 17 Jan 2025
Viewed by 418
Abstract
Accurate dynamic model and response prediction of industrial robots (IRs) are prerequisites for production optimization before actual operation. In this study, a hybrid-driven dynamic position prediction (HDPP) approach integrating a parametric dynamic model (PDM) and learning-based residual error compensators (RECs) is developed to [...] Read more.
Accurate dynamic model and response prediction of industrial robots (IRs) are prerequisites for production optimization before actual operation. In this study, a hybrid-driven dynamic position prediction (HDPP) approach integrating a parametric dynamic model (PDM) and learning-based residual error compensators (RECs) is developed to estimate the actual position of a robot end-effector based on the reference input trajectory. Firstly, a PDM consisting of a flexible dynamic model of the mechanical system and a servo system model is constructed as the primary predictor in HDPP. Meanwhile, a reinforcement learning (RL)-based parameter identification method is presented to obtain independent dynamic parameters, which integrates a CAD model, least squares estimation, and RL. Then, an REC based on the temporal convolutional network long short-term memory (TCN-LSTM) is proposed for each joint to compensate for the residual error after PDM prediction. A TCN is employed as the input of LSTM to extract and compress the discontinuous features, which can enhance the compensator’s accuracy and stability. Additionally, a dynamics-integrated (DI) dataset construction scheme is developed for network training to boost the prediction accuracy. Finally, a series of experiments and comparative analysis are preformed to validate the performance of HDPP in terms of prediction accuracy and stability. Full article
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<p>Dynamic position prediction of EE based on reference trajectory.</p>
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<p>Overall structure of the proposed HDPP.</p>
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<p>Elastic joint model.</p>
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<p>Flowchart of parameter tuning based on CARLA.</p>
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<p>Layout of the experimental system.</p>
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<p>Test joint trajectories.</p>
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<p>Simulation and actual motor torques of each motor. (<b>a</b>) Motor 1. (<b>b</b>) Motor 2.</p>
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<p>Simplified servo system model.</p>
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<p>Framework of REC based on TCN-LSTM network.</p>
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<p>Complete structure of a TCN network.</p>
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<p>Structure of LSTM with multi-memory units.</p>
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<p>Some of the training paths. (<b>a</b>) Random path. (<b>b</b>) Regular path.</p>
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<p>Test paths. (<b>a</b>) Heart path. (<b>b</b>) A random path.</p>
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<p>Prediction results of the heart path with different datasets. (<b>a</b>) Prediction error of joint 1. (<b>b</b>) Prediction error of joint 2. (<b>c</b>) Prediction contour error.</p>
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<p>Prediction results of the test random path with different datasets. (<b>a</b>) Prediction error of joint 1. (<b>b</b>) Prediction error of joint 2. (<b>c</b>) Prediction contour error.</p>
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<p>Prediction results of the heart path with different methods. (<b>a</b>) Prediction error of joint 1. (<b>b</b>) Prediction error of joint 2. (<b>c</b>) Prediction contour error.</p>
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<p>Prediction results of the test random path with different methods. (<b>a</b>) Prediction error of joint 1. (<b>b</b>) Prediction error of joint 2. (<b>c</b>) Prediction contour error.</p>
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21 pages, 3270 KiB  
Article
Spatio-Temporal Joint Trajectory Planning for Autonomous Vehicles Based on Improved Constrained Iterative LQR
by Qin Li, Hongwen He, Manjiang Hu and Yong Wang
Sensors 2025, 25(2), 512; https://doi.org/10.3390/s25020512 - 17 Jan 2025
Viewed by 341
Abstract
With advancements in autonomous driving technology, the coupling of spatial paths and temporal speeds in complex scenarios becomes increasingly significant. Traditional sequential decoupling methods for trajectory planning are no longer sufficient, emphasizing the need for spatio-temporal joint trajectory planning. The Constrained Iterative LQR [...] Read more.
With advancements in autonomous driving technology, the coupling of spatial paths and temporal speeds in complex scenarios becomes increasingly significant. Traditional sequential decoupling methods for trajectory planning are no longer sufficient, emphasizing the need for spatio-temporal joint trajectory planning. The Constrained Iterative LQR (CILQR), based on the Iterative LQR (ILQR) method, shows obvious potential but faces challenges in computational efficiency and scenario adaptability. This paper introduces three key improvements: a segmented barrier function truncation strategy with dynamic relaxation factors to enhance stability, an adaptive weight parameter adjustment method for acceleration and curvature planning, and the integration of the hybrid A* algorithm to optimize the initial reference trajectory and improve iterative efficiency. The improved CILQR method is validated through simulations and real-vehicle tests, demonstrating substantial improvements in human-like driving performance, traffic efficiency improvement, and real-time performance while maintaining comfortable driving. The experiment’s results demonstrate a significant increase in human-like driving indicators by 16.35% and a 12.65% average increase in traffic efficiency, reducing computation time by 39.29%. Full article
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<p>Improved CILQR process.</p>
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<p>Autonomous driving platform. (<b>a</b>) Vehicle test platform. (<b>b</b>) Communication topology diagram.</p>
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<p>Autonomous driving platform.</p>
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<p>Continuous nudge static obstacle scenario, trajectory, and vehicle dynamic comparison profiles. (<b>a</b>) Time sequence diagram of improved CILQR trajectory planning. (<b>b</b>) Time sequence diagram of CILQR trajectory planning. (<b>c</b>) Speed profile. (<b>d</b>) Curvature of Trajectory. (<b>e</b>) Lateral acceleration. (<b>f</b>) Longitudinal acceleration.</p>
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<p>Dynamic cut-in obstacle collision avoidance scenario, trajectory, and vehicle dynamic comparison profiles. (<b>a</b>) Time-sequence diagram of improved CILQR trajectory planning. (<b>b</b>) Time sequence diagram of CILQR and EM trajectory planning. (<b>c</b>) Speed profile. (<b>d</b>) Curvature of Trajectory. (<b>e</b>) Lateral acceleration. (<b>f</b>) Longitudinal acceleration.</p>
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<p>Dynamic overtaking of oncoming obstacles scenario, trajectory, and vehicle dynamic comparison profiles. (<b>a</b>) Time-sequence diagram of improved CILQR trajectory planning. (<b>b</b>) Vehicle steering wheel angle request and longitudinal acceleration request. (<b>c</b>) Speed profile and curvature of trajectory. (<b>d</b>) Longitudinal and lateral acceleration of trajectory.</p>
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<p>Collision avoidance with dynamic and static obstacles scenario, trajectory, and vehicle dynamic comparison profiles. (<b>a</b>) Time-sequence diagram of improved CILQR trajectory planning. (<b>b</b>) Vehicle steering wheel angle request and longitudinal acceleration request. (<b>c</b>) Longitudinal and lateral acceleration of trajectory. (<b>d</b>) Longitudinal and lateral acceleration of trajectory.</p>
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15 pages, 3464 KiB  
Article
Climatological Study on Cyclone Genesis and Tracks in Southern Brazil from 1979 to 2019
by Bruna Alves Oliveira Destéfani, Micael Fernando Broggio and Carlos Alberto Eiras Garcia
Atmosphere 2025, 16(1), 92; https://doi.org/10.3390/atmos16010092 - 16 Jan 2025
Viewed by 401
Abstract
This study investigates cyclone dynamics and impacts in the Southwestern Atlantic, with a focus on their effects on southern Brazil. As climate change intensifies coastal vulnerability, understanding cyclone behavior has become essential. Using the TRACK and cycloTRACK algorithms, we examined cyclone trajectories and [...] Read more.
This study investigates cyclone dynamics and impacts in the Southwestern Atlantic, with a focus on their effects on southern Brazil. As climate change intensifies coastal vulnerability, understanding cyclone behavior has become essential. Using the TRACK and cycloTRACK algorithms, we examined cyclone trajectories and cyclogenesis densities from 1979 to 2019 to analyze seasonal and spatial patterns shaped by large-scale atmospheric circulations, including the Antarctic Oscillation (AAO). The analysis explores trends in cyclone activity across various temporal and spatial scales, identifying key regions of cyclogenesis and trajectory density. Results indicate that the cycloTRACK algorithm is more effective at tracking more intense and consistent cyclones, excluding weaker systems. Seasonal patterns suggest variability in cyclone formation, likely associated with atmospheric instability and ocean–atmosphere interactions. While trends reveal an increase in cyclone passages in southern Brazil, these systems are strongly associated with extreme climatic events in the region, including coastal storms, intense precipitation, strong winds, and high waves. By clarifying cyclone dynamics and seasonal patterns, this study enhances our understanding of cyclone behavior and contributes to improved assessments of regional climate resilience in southern Brazil. Full article
(This article belongs to the Section Climatology)
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<p>Map of the study region with cyclone genesis areas indicated by rectangles. Area A1 covers the continental region near the discharge of the Rio de la Plata, spanning Uruguay, Argentina, and southern Brazil (~30° latitude). Area A2 includes the oceanic region between the Rio de la Plata and the Brazil–Malvinas confluence. Area A3 encompasses the southeastern coast of Argentina, particularly near and south of the Gulf of San Matías.</p>
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<p>Trajectory and cyclogenesis densities calculated for P01 ((<b>A</b>) and (<b>D</b>), respectively) and P02 ((<b>B</b>) and (<b>E</b>), respectively). The trajectory bias (<b>C</b>) and cyclogenesis bias (<b>F</b>) are also presented in the figure.</p>
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<p>Time series of trajectory density (<b>A</b>), cyclogenesis (<b>B</b>), and distribution of mean vorticity values (<b>C</b>) for identified cyclones.</p>
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<p>Statistically significant annual trends (Mann-Kendall test) of trajectory and cyclogenesis density in P01 ((<b>A</b>) and (<b>C</b>), respectively) and P02 ((<b>B</b>) and (<b>D</b>), respectively). The white areas do not show trends.</p>
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<p>Seasonal cyclogenesis density from P01 and P02 during the positive and negative phase of the Antarctic Oscillation Climate Index (AAO). Summer patterns are shown in (<b>A</b>–<b>D</b>), fall in (<b>E</b>–<b>H</b>), winter in (<b>I</b>–<b>L</b>), and spring in (<b>M</b>–<b>P</b>). Cyclone densities for P01 and P02 during positive phase are represented in (<b>A</b>,<b>E</b>,<b>I</b>,<b>M</b>) and (<b>B</b>,<b>F</b>,<b>J</b>,<b>N</b>), respectively. Cyclogenesis densities for P01 and P02 during negative phase are shown in (<b>C</b>,<b>G</b>,<b>K</b>,<b>O</b>) and (<b>D</b>,<b>H</b>,<b>L</b>,<b>P</b>), respectively.</p>
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<p>Trajectory density and cyclogenesis of cyclones separated by directions for P01 and P02. The trajectory density and cyclogenesis from south to north for P01 are shown in (<b>A</b>) and (<b>C</b>), respectively. For P02, they are shown in (<b>B</b>) and (<b>D</b>), respectively. The trajectory density and cyclogenesis from north to south for P01 are shown in (<b>E</b>) and (<b>G</b>), respectively, while for P02, they are shown in (<b>F</b>) and (<b>H</b>), respectively.</p>
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<p>Trajectory density and seasonal cyclogenesis of identified cyclones from the south to north (S to N). On the left (right) panel is seasonal track (cyclogenesis) density. Summer patterns are shown in (<b>A</b>–<b>D</b>), fall in (<b>E</b>–<b>H</b>), winter in (<b>I</b>–<b>L</b>), and spring in (<b>M</b>–<b>P</b>). Track densities for P01 and P02 are represented in (<b>A</b>,<b>E</b>,<b>I</b>,<b>M</b>) and (<b>B</b>,<b>F</b>,<b>J</b>,<b>N</b>), respectively. Cyclogenesis densities for P01 and P02 are shown in (<b>C</b>,<b>G</b>,<b>K</b>,<b>O</b>) and (<b>D</b>,<b>H</b>,<b>L</b>,<b>P</b>), respectively.</p>
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49 pages, 7071 KiB  
Review
Advancing Neuroscience and Therapy: Insights into Genetic and Non-Genetic Neuromodulation Approaches
by Weijia Zhi, Ying Li, Lifeng Wang and Xiangjun Hu
Cells 2025, 14(2), 122; https://doi.org/10.3390/cells14020122 - 15 Jan 2025
Viewed by 700
Abstract
Neuromodulation stands as a cutting-edge approach in the fields of neuroscience and therapeutic intervention typically involving the regulation of neural activity through physical and chemical stimuli. The purpose of this review is to provide an overview and evaluation of different neuromodulation techniques, anticipating [...] Read more.
Neuromodulation stands as a cutting-edge approach in the fields of neuroscience and therapeutic intervention typically involving the regulation of neural activity through physical and chemical stimuli. The purpose of this review is to provide an overview and evaluation of different neuromodulation techniques, anticipating a clearer understanding of the future developmental trajectories and the challenges faced within the domain of neuromodulation that can be achieved. This review categorizes neuromodulation techniques into genetic neuromodulation methods (including optogenetics, chemogenetics, sonogenetics, and magnetogenetics) and non-genetic neuromodulation methods (including deep brain stimulation, transcranial magnetic stimulation, transcranial direct current stimulation, transcranial ultrasound stimulation, photobiomodulation therapy, infrared neuromodulation, electromagnetic stimulation, sensory stimulation therapy, and multi-physical-factor stimulation techniques). By systematically evaluating the principles, mechanisms, advantages, limitations, and efficacy in modulating neuronal activity and the potential applications in interventions of neurological disorders of these neuromodulation techniques, a comprehensive picture is gradually emerging regarding the advantages and challenges of neuromodulation techniques, their developmental trajectory, and their potential clinical applications. This review highlights significant advancements in applying these techniques to treat neurological and psychiatric disorders. Genetic methods, such as sonogenetics and magnetogenetics, have demonstrated high specificity and temporal precision in targeting neuronal populations, while non-genetic methods, such as transcranial magnetic stimulation and photobiomodulation therapy, offer noninvasive and versatile clinical intervention options. The transformative potential of these neuromodulation techniques in neuroscience research and clinical practice is underscored, emphasizing the need for integration and innovation in technologies, the optimization of delivery methods, the improvement of mediums, and the evaluation of toxicity to fully harness their therapeutic potential. Full article
(This article belongs to the Section Cells of the Nervous System)
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<p>Schematic diagram of genetic neuromodulation technologies. Genetic neuromodulation encompasses sonogenetics, optogenetics, magnetogenetics, and chemogenetics. Sonogenetics employs ultrasonic stimulation to activate mechanosensitive ion channels, such as Piezo1 and mechanosensitive channel of large conductance (MSCL), inducing neuronal activity. Optogenetics utilizes blue light to stimulate the excitatory ion channel channelrhodopsin-2 (ChR2) and yellow light for the inhibitory ion channel natronomonas halorhodopsin (NpHR), causing depolarization or hyperpolarization of neurons to activate or inhibit them. Magnetogenetics manipulates neuronal activity through electromagnetic nanoparticles and the opening and closing of heat-sensitive channels like transient receptor potential vanilloid 1 (TRPV1). Chemogenetic technology prominently features designer receptors exclusively activated by designer drugs (DREADDs), where human muscarinic acetylcholine receptor subtype M3 (hM3Dq) excites neurons under clozapine-N-oxide (CNO) stimulation, while human muscarinic acetylcholine receptor subtype M4 (hM4Di) induces neuronal inhibition.</p>
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<p>Schematic diagram of non-genetic physical factor neuromodulation technologies. Non-genetic physical factor neuromodulation technology includes deep brain stimulation (DBS), transcranial magnetic stimulation (TMS), transcranial direct current stimulation (tDCS), transcranial ultrasound stimulation (TUS), photobiomodulation therapy (PBMT), infrared neuromodulation (INM), electromagnetic stimulation therapy, and sensory stimulation therapy. DBS involves placing bipolar electrodes in specific brain regions and using implantable pulse generators to stimulate certain neural nuclei or regions deep in the brain, correcting abnormal neural circuit activities and alleviating neuropsychiatric symptoms. TMS induces local currents in the cerebral cortex through strong pulsed magnetic fields to regulate neuron electrical activity and electrical signal transmission. tDCS involves placing two or more electrodes on the surface of the scalp and applying a weak current to promote the interaction of neurotransmitters in the brain and induce changes in synaptic plasticity. PBMT (also known as low-intensity laser therapy) is based on the mechanism of photobiomodulation and includes both visible and near-infrared light neuromodulation techniques (figure revised from [<a href="#B129-cells-14-00122" class="html-bibr">129</a>]). Electromagnetic stimulation therapy projects electromagnetic waves into the brain through a transmitter, thereby modulating cortical and subcortical neural activity (figure revised from [<a href="#B130-cells-14-00122" class="html-bibr">130</a>]). Sensory stimulation therapy employs precisely calibrated sensory inputs, such as sound waves and visible light, to induce and modulate rhythmic neuronal activity in the brain’s primary sensory areas. This rhythmic activity, characterized by synchronized oscillations of neural populations at specific frequencies (particularly in the gamma range of 30–100 Hz), plays a crucial role in neural communication, sensory processing, and cognitive function.</p>
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9 pages, 215 KiB  
Review
Hyperphosphorylated Tau and Cognition in Epilepsy
by Juri-Alexander Witt, Johanna Andernach, Albert Becker and Christoph Helmstaedter
J. Clin. Med. 2025, 14(2), 514; https://doi.org/10.3390/jcm14020514 - 15 Jan 2025
Viewed by 308
Abstract
In light of the growing interest in the bidirectional relationship between epilepsy and dementia, this review aims to provide an overview of the role of hyperphosphorylated tau (pTau) in cognition in human epilepsy. A literature search identified five relevant studies. All of them [...] Read more.
In light of the growing interest in the bidirectional relationship between epilepsy and dementia, this review aims to provide an overview of the role of hyperphosphorylated tau (pTau) in cognition in human epilepsy. A literature search identified five relevant studies. All of them examined pTau burden in surgical biopsy specimens from patients with temporal lobe epilepsy. The prevalence of pTau reported across the five studies, encompassing a total of 142 patients, ranged from 3.5% to 95%. Findings also varied regarding the location of pTau in the hippocampus and/or temporal cortex. Two of five studies (40%) demonstrated an inverse relationship between pTau burden and cognitive performance, one study with regard to executive functions and the other with regard to naming and verbal short-term memory. The only longitudinal study found a significant link between pTau and cognitive decline in verbal learning and memory, and in part also in naming, from the pre- to the postoperative assessment and from three to 12 months postoperatively. Given the heterogeneity of the study cohorts and the neuropsychological and neuropathological methodologies and findings, no clear picture emerges regarding the association between pTau and cognition in temporal lobe epilepsy. Added to this is the multifactorial etiology of cognitive impairment in epilepsy, including the active epilepsy, the underlying and sometimes dynamic pathology, and anti-seizure medication. Some of these factors may affect pTau expression. Further research should aim to investigate pTau longitudinally and noninvasively on a whole-brain level, using targeted neuropsychological outcome measures and controlling for age and other factors potentially influencing cognitive trajectories in epilepsy. Full article
(This article belongs to the Special Issue New Trends in Diagnosis and Treatment of Epilepsy)
17 pages, 1285 KiB  
Article
Deep Temporal Clustering of Pathological Gait Patterns in Post-Stroke Patients Using Joint Angle Trajectories: A Cross-Sectional Study
by Gyeongmin Kim, Hyungtai Kim, Yun-Hee Kim, Seung-Jong Kim and Mun-Taek Choi
Bioengineering 2025, 12(1), 55; https://doi.org/10.3390/bioengineering12010055 - 11 Jan 2025
Viewed by 463
Abstract
Rehabilitation of gait function in post-stroke hemiplegic patients is critical for improving mobility and quality of life, requiring a comprehensive understanding of individual gait patterns. Previous studies on gait analysis using unsupervised clustering often involve manual feature extraction, which introduces limitations such as [...] Read more.
Rehabilitation of gait function in post-stroke hemiplegic patients is critical for improving mobility and quality of life, requiring a comprehensive understanding of individual gait patterns. Previous studies on gait analysis using unsupervised clustering often involve manual feature extraction, which introduces limitations such as low accuracy, low consistency, and potential bias due to human intervention. This cross-sectional study aimed to identify and cluster gait patterns using an end-to-end deep learning approach that autonomously extracts features from joint angle trajectories for a gait cycle, minimizing human intervention. A total of 74 sub-acute post-stroke hemiplegic patients with lower limb impairments were included in the analysis. The dataset comprised 219 sagittal plane joint angle and angular velocity trajectories from the hip, knee, and ankle joints during gait cycles. Deep temporal clustering was employed to cluster them in an end-to-end manner by simultaneously optimizing feature extraction and clustering, with hyperparameter tuning tailored for kinematic gait cycle data. Through this method, six optimal clusters were selected with a silhouette score of 0.2831, which is a relatively higher value compared to other clustering algorithms. To clarify the characteristics of the selected groups, in-depth statistics of spatiotemporal, kinematic, and clinical features are presented in the results. The results demonstrate the effectiveness of end-to-end deep learning-based clustering, yielding significant performance improvements without the need for manual feature extraction. While this study primarily utilizes sagittal plane data, future analysis incorporating coronal and transverse planes as well as muscle activity and gait symmetry could provide a more comprehensive understanding of gait patterns. Full article
(This article belongs to the Section Biosignal Processing)
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<p>The architecture of deep temporal clustering for gait patterns.</p>
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<p>Silhouette score per number of clusters.</p>
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<p>Loss curve for the optimal 7 clusters representing both pre-training and training.</p>
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<p>Average joint-level angular trajectories for each cluster on the affected side. (<b>a</b>) Hip, (<b>b</b>) Knee, (<b>c</b>) Ankle.</p>
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<p>Average joint-level angular trajectories for each cluster on the affected side. (<b>a</b>) Hip, (<b>b</b>) Knee, (<b>c</b>) Ankle.</p>
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<p>Averaged joint angle trajectories for Group B on both affected and unaffected sides. (<b>a</b>) Hip, (<b>b</b>) Knee, (<b>c</b>) Ankle.</p>
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<p>Averaged joint angle trajectories for Group B on both affected and unaffected sides. (<b>a</b>) Hip, (<b>b</b>) Knee, (<b>c</b>) Ankle.</p>
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23 pages, 1080 KiB  
Article
Parameter-Efficient Vehicle Trajectory Prediction Based on Attention-Enhanced Liquid Structural Neural Model
by Ruochen Wang, Yue Chen, Renkai Ding and Qing Ye
World Electr. Veh. J. 2025, 16(1), 19; https://doi.org/10.3390/wevj16010019 - 31 Dec 2024
Viewed by 492
Abstract
Due to advances in sensor techniques and deep learning, autonomous vehicular technologies have become more reliable and practical. Trajectory prediction is a critical task to anticipate the future positions of surrounding vehicles. However, existing algorithms, such as LSTM-based and attention-based models, face challenges [...] Read more.
Due to advances in sensor techniques and deep learning, autonomous vehicular technologies have become more reliable and practical. Trajectory prediction is a critical task to anticipate the future positions of surrounding vehicles. However, existing algorithms, such as LSTM-based and attention-based models, face challenges of high computational complexity, large parameter sizes, and limited ability to efficiently capture both temporal dependencies and spatial interactions in dynamic traffic scenarios. In this paper, we propose a parameter-efficient trajectory prediction model that integrates Liquid Time-Constant (LTC) networks with attention mechanisms, termed the Attn-LTC model. The key contributions of our work are threefold. First, we introduce a temporal attention-enhanced LTC encoder that effectively captures both long-term temporal dependencies and dynamic behaviors from historical trajectory data. Second, we incorporate a spatial attention-enhanced LTC decoder, which emphasizes the influence of neighboring vehicles and spatial interactions, thereby improving prediction accuracy. Third, we demonstrate the computational efficiency of the Attn-LTC model, which achieves high predictive accuracy with significantly fewer parameters compared to LSTM-based and Transformer-based counterparts. Extensive experiments conducted on the NGSIM dataset demonstrate the advantages of our proposed Attn-LTC model. Notably, it reduces computational complexity and model size while maintaining superior accuracy, making it well suited for deployment in resource-constrained systems. The results highlight the effectiveness of the Attn-LTC model in balancing precision and efficiency, paving the way for its application in real-time autonomous driving systems. Full article
(This article belongs to the Special Issue Deep Learning Applications for Electric Vehicles)
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<p>Overall framework of the proposed Attn-LTC model based on Liquid Time-Constant (LTC) networks for trajectory prediction. The proposed algorithm is composed of data preprocessing and vectorization, Temporal Attention-enhanced LTC Encoder, and Spatial Attention-enhanced LTC Decoder modules.</p>
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<p>The algorithmic flow of the Temporal Attention-enhanced LTC Encoder module in the proposed Attn-LTC model.</p>
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<p>Illustration of the Liquid Time-Constant (LTC) network structure.</p>
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<p>The algorithmic flow of the Spatial Attention-enhanced LTC Decoder module in the proposed Attn-LTC model.</p>
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<p>Visualization of training loss using various numbers of neurons from 8 to 64. (<b>a</b>) Training loss of proposed Attn-LTC models with 8, 16, 24, 32, or 64 neurons. (<b>b</b>) Training loss of Attn-LTC and Attn-LSTM models with 8, 16, or 24 neurons.</p>
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<p>Comparison of RMSE values for the proposed Attn-LTC model and LSTM counterparts. The number of neurons vary from 8 to 32. The prediction horizon ranges from 1 s to 5 s.</p>
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<p>Comparison of number of parameters in the proposed Attn-LTC model and Attn-LSTM baselines using various numbers of neurons from 8 to 32.</p>
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<p>Inference latency of the proposed Attn-LTC models using various numbers of neurons from 8 to 32.</p>
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<p>Comparison of RMSE values using the proposed Attn-LTC model under different lanes.</p>
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<p>Comparison of RMSE values using the proposed Attn-LTC model under different roadmaps and time.</p>
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<p>Comparison of RMSE values using the proposed Attn-LTC model for different numbers of neighboring vehicles. The number of neurons is 24.</p>
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<p>Visualization of the average temporal attention weights across different traffic lanes.</p>
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<p>Visualization of wiring patterns for LTC neurons. (<b>a</b>) Attn-LTC with 8 motor neurons and sensory neurons. (<b>b</b>) Attn-LTC with 16 motor neurons and sensory neurons. (<b>c</b>) Attn-LTC with 24 motor neurons and sensory neurons.</p>
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24 pages, 1649 KiB  
Article
Heterogeneous Multi-Agent Risk-Aware Graph Encoder with Continuous Parameterized Decoder for Autonomous Driving Trajectory Prediction
by Shaoyu Sun, Chunyang Wang, Bo Xiao, Xuelian Liu, Chunhao Shi, Rongliang Sun and Ruijie Han
Electronics 2025, 14(1), 105; https://doi.org/10.3390/electronics14010105 - 30 Dec 2024
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Abstract
Trajectory prediction is a critical component of autonomous driving, intelligent transportation systems, and human–robot interactions, particularly in complex environments like intersections, where diverse road constraints and multi-agent interactions significantly increase the risk of collisions. To address these challenges, a Heterogeneous Risk-Aware Graph Encoder [...] Read more.
Trajectory prediction is a critical component of autonomous driving, intelligent transportation systems, and human–robot interactions, particularly in complex environments like intersections, where diverse road constraints and multi-agent interactions significantly increase the risk of collisions. To address these challenges, a Heterogeneous Risk-Aware Graph Encoder with Continuous Parameterized Decoder for Trajectory Prediction (HRGC) is proposed. The architecture integrates a heterogeneous risk-aware local graph attention encoder, a low-rank temporal transformer, a fusion lane and global interaction encoder layer, and a continuous parameterized decoder. First, a heterogeneous risk-aware edge-enhanced local attention encoder is proposed, which enhances edge features using risk metrics, constructs graph structures through graph optimization and spectral clustering, maps these enhanced edge features to corresponding graph structure indices, and enriches node features with local agent-to-agent attention. Risk-aware edge attention is aggregated to update node features, capturing spatial and collision-aware representations, embedding crucial risk information into agents’ features. Next, the low-rank temporal transformer is employed to reduce computational complexity while preserving accuracy. By modeling agent-to-lane relationships, it captures critical map context, enhancing the understanding of agent behavior. Global interaction further refines node-to-node interactions via attention mechanisms, integrating risk and spatial information for improved trajectory encoding. Finally, a trajectory decoder utilizes the aforementioned encoder to generate control points for continuous parameterized curves. These control points are multiplied by dynamically adjusted basis functions, which are determined by an adaptive knot vector that adjusts based on velocity and curvature. This mechanism ensures precise local control and the superior handling of sharp turns and speed variations, resulting in more accurate real-time predictions in complex scenarios. The HRGC network achieves superior performance on the Argoverse 1 benchmark, outperforming state-of-the-art methods in complex urban intersections. Full article
(This article belongs to the Section Artificial Intelligence)
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<p>Autonomous driving trajectory prediction.</p>
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<p>The overall architecture of HRGC trajectory predictor. It comprises four main blocks, processing heterogeneous multi-agent local feature embedding through a risk-aware edge enhanced node graph attention. Initially, we process node representation with rotation matrix, then construct heterogeneous graph by designing and aggregating risk aware edge and update node with attention. Subsequently, we apply low-rank temporal transformer layer to extract temporal features. These features are then fed into agent to lane layer, which fuses agent and lane feature for better local scene feature embedding, and last global interaction layer to extract agent and lane local features. Finally, we utilize a continuous parameterized trajectory decoder to decode rich and accurate features, generating continuous parameterized trajectories.</p>
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<p>Risk-aware edge layer.</p>
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<p>Moving direction with velocity risk.</p>
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<p>Time to collision.</p>
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<p>Edge index via graph optimization and clustering. First, we use Gaussian kernel to compute every two-node similarity and obtain the adjacency matrix. We compute Laplacian matrix by Equation (<a href="#FD6-electronics-14-00105" class="html-disp-formula">6</a>); susbsequently, we use the minimum cut graph optimization operate on Laplacian matrix to obtain the cluster index of node <math display="inline"><semantics> <msubsup> <mi>C</mi> <mi>i</mi> <mi>t</mi> </msubsup> </semantics></math> and <math display="inline"><semantics> <msubsup> <mi>C</mi> <mi>j</mi> <mi>t</mi> </msubsup> </semantics></math>.</p>
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<p>B-spline with control points.</p>
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<p>Ablation study of decoder variants with continuous trajectory decoder.</p>
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<p>Inference speed and paramters with minADE comparison with state-of-the-art methods.</p>
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<p>The red column represents the intersection successful case, while the green column represents the continuous parameterized trajectory prediction performance analysis.</p>
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<p>Failure case.</p>
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