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12 pages, 653 KB  
Article
The Glymphatic System and Obesity: A Diffusion Tensor Imaging ALPS Study
by Kang Min Park, Jin-Hong Wi, Bong Soo Park, Dong Ah Lee and Jinseung Kim
Biomedicines 2025, 13(11), 2585; https://doi.org/10.3390/biomedicines13112585 - 22 Oct 2025
Viewed by 222
Abstract
Background: Obesity is a known risk factor for neurodegenerative diseases, potentially due to impaired clearance of brain waste through the glymphatic system. While the association between obesity and brain dysfunction has been widely studied in populations with neurological conditions, it remains unclear [...] Read more.
Background: Obesity is a known risk factor for neurodegenerative diseases, potentially due to impaired clearance of brain waste through the glymphatic system. While the association between obesity and brain dysfunction has been widely studied in populations with neurological conditions, it remains unclear whether glymphatic system function is already reduced in neurologically healthy individuals with obesity. This study aimed to investigate whether glymphatic system function, measured via the diffusion tensor image (DTI) analysis along the perivascular space (DTI-ALPS) index, differs according to obesity status in neurologically healthy adults. Methods: We retrospectively analyzed brain DTI data from 62 neurologically healthy participants stratified into underweight (<18.5 kg/m2), normal weight (BMI ≥ 18.5 and <23.0 kg/m2), overweight (BMI ≥ 23.0 and <25.0 kg/m2), and obese (≥25.0 kg/m2) groups based on the World Health Organization Asia-Pacific body mass index (BMI) criteria. Group differences were examined using Mann–Whitney U tests and analysis of covariance, after adjusting for age. Results: Participants with obesity had significantly lower DTI-ALPS index values (1.262 ± 0.150) compared to those in the normal weight (1.405 ± 0.168, p = 0.048) and overweight (1.423 ± 0.195, p = 0.029) categories, even after adjusting for age. The DTI-ALPS index was also significantly reduced in participants with obesity compared to participants in the BMI < 25 kg/m2 group (1.410 ± 0.176, p = 0.015). Conclusions: This study provides the first evidence that obesity is linked to reduced glymphatic system function, as reflected by lower DTI-ALPS index in neurologically healthy adults. These findings underscore the importance of maintaining a healthy body weight to preserve brain waste clearance mechanisms and may offer insights into early vulnerability to neurodegenerative changes. Full article
(This article belongs to the Section Molecular and Translational Medicine)
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18 pages, 5731 KB  
Article
Variation in Seismic Wave Velocities at Shallow Depth and the Masking of Nonlinear Soil Behavior Based on the ARGONET (Cephalonia, Greece) Vertical Array Data
by Zafeiria Roumelioti, Fabrice Hollender, Nikolaos Theodoulidis and Ioannis Grendas
Appl. Sci. 2025, 15(19), 10727; https://doi.org/10.3390/app151910727 - 5 Oct 2025
Viewed by 242
Abstract
We investigate the variation in shear-wave velocity (VS) in the shallow soil of the ARGONET vertical array in Cephalonia, Greece, utilizing an extensive 8–10-year dataset of earthquake records and applying seismic interferometry by deconvolution and Generalized Additive Models (GAMs). We [...] Read more.
We investigate the variation in shear-wave velocity (VS) in the shallow soil of the ARGONET vertical array in Cephalonia, Greece, utilizing an extensive 8–10-year dataset of earthquake records and applying seismic interferometry by deconvolution and Generalized Additive Models (GAMs). We identify and quantify the contributions of seasonal variation, soil anisotropy, soil nonlinearity, and long-term VS changes. Of the examined factors, nonlinearity produces the strongest VS changes in the form of reduction of up to several tens of m/s. The azimuthal and seasonal partial effects appear similar in strength. However, VS also exhibits year-to-year variation, with lower levels likely linked to the slow recovery of the soil following strong earthquakes in the broader region. When this partial effect is also considered, the temporal variation of VS is more significant than the azimuthal variation. We also observed that strong weather phenomena, such as the unusual hurricane “Ianos” that hit western Greece in 2020, are captured in our model through tensor interaction terms. Our model can identify VS drops related to nonlinear soil behavior even when masked by other effects. We demonstrate and verify this through seismic interferometry to stepwise increasing parts of earthquake recordings highlighting these within-events or coseismic VS drops. Full article
(This article belongs to the Special Issue New Advances in Engineering Seismology)
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18 pages, 449 KB  
Review
Decoding Emotions from fNIRS: A Survey on Tensor-Based Approaches in Affective Computing and Medical Applications
by Aleksandra Kawala-Sterniuk, Michal Podpora, Dariusz Mikolajewski, Maciej Piasecki, Ewa Rudnicka, Adrian Luckiewicz, Adam Sudol and Mariusz Pelc
Appl. Sci. 2025, 15(19), 10525; https://doi.org/10.3390/app151910525 - 29 Sep 2025
Viewed by 560
Abstract
Understanding and interpreting human emotions through neurophysiological signals has become a central goal in affective computing. This paper presents a focused survey of recent advances in emotion recognition using tensor factorization techniques specifically applied to functional Near-Infrared Spectroscopy (fNIRS) data. We examine how [...] Read more.
Understanding and interpreting human emotions through neurophysiological signals has become a central goal in affective computing. This paper presents a focused survey of recent advances in emotion recognition using tensor factorization techniques specifically applied to functional Near-Infrared Spectroscopy (fNIRS) data. We examine how tensor-based frameworks have been leveraged to capture the temporal, spatial, and spectral characteristics of fNIRS brain signals, enabling effective dimensionality reduction and latent pattern extraction. Focusing on third-order tensor constructions (trials × channels × time), we compare the use of Canonical Polyadic (CP) and Tucker decompositions in isolating components representative of emotional states. The review further evaluates the performance of extracted features when classified by conventional machine learning models such as Random Forests and Support Vector Machines. Emphasis is placed on comparative accuracy, interpretability, and the advantages of tensor methods over traditional approaches for distinguishing arousal and valence levels. We conclude by discussing the relevance of these methods for the development of real-time, explainable, emotion-aware systems in wearable neurotechnology, with a particular focus on medical applications such as mental health monitoring, early diagnosis of affective disorders, and personalized neurorehabilitation. Full article
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21 pages, 4368 KB  
Article
The Evolution of Ship Fuel Sulfur Content Monitoring—From Exhaust Gas Measurement to AI-Driven Comprehensive Analysis
by Fan Zhou, Yuxuan Wang and Yinghan Zhou
J. Mar. Sci. Eng. 2025, 13(9), 1795; https://doi.org/10.3390/jmse13091795 - 17 Sep 2025
Viewed by 475
Abstract
To address the limitations of traditional single-point detection methods in monitoring the sulfur content of ship fuel (FSC), which are inadequate in meeting the regulatory demands of high-traffic ports, this study proposes an integrated analytical approach based on artificial intelligence. This approach synthesizes [...] Read more.
To address the limitations of traditional single-point detection methods in monitoring the sulfur content of ship fuel (FSC), which are inadequate in meeting the regulatory demands of high-traffic ports, this study proposes an integrated analytical approach based on artificial intelligence. This approach synthesizes multi-source heterogeneous data, including historical fuel testing records, Automatic Identification System (AIS) trajectory data, ship and operator profiles, technical specifications, fuel supply chain documentation, fundamental ship attributes and so on. Following rigorous data cleaning and preprocessing procedures, a refined dataset comprising 3046 records collected between 2017 and 2024 from the Port of Ningbo was utilized. Initially, multiple linear regression analysis was con-ducted to identify key factors influencing sulfur emissions, resulting in an R2 value of 0.67. Based on these findings, a deep neural network model was developed using TensorFlow to enable real-time estimation of FSC and classification of compliance risk levels. The results indicate that the proposed method exhibits high estimated accuracy and robustness. An AI-based intelligent monitoring module, developed based on this research, has been integrated into the ship exhaust gas detection system at the Port of Ningbo. This module enables real-time analysis of inbound ships and intelligent identification of potentially non-compliant ships, thereby significantly improving the precision and efficiency of port regulatory operations. This study not only contributes to the theoretical framework for ship fuel compliance monitoring but also provides a practical and scalable technical solution for intelligent port governance. Full article
(This article belongs to the Special Issue Sustainable Maritime Transport and Port Intelligence)
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19 pages, 3464 KB  
Article
Framework for the Evaluation of Nap-Compatible Classroom Chairs
by Wangyu Xu and Yushu Chen
Buildings 2025, 15(18), 3321; https://doi.org/10.3390/buildings15183321 - 13 Sep 2025
Cited by 1 | Viewed by 467
Abstract
Recent policy initiatives, such as the Ministry of Education of China’s guidelines on student sleep management, together with international empirical studies on daytime rest, highlight that appropriate opportunities for midday rest can support students’ attention, memory, and overall learning. Motivated by these developments, [...] Read more.
Recent policy initiatives, such as the Ministry of Education of China’s guidelines on student sleep management, together with international empirical studies on daytime rest, highlight that appropriate opportunities for midday rest can support students’ attention, memory, and overall learning. Motivated by these developments, this study introduces a conflict-sensitive, multidimensional framework for evaluating nap-compatible classroom chairs. The proposed PLEASURC framework integrates eight evaluation dimensions, organized into four domains—ergonomic, operational, perceptual, and affective—thereby combining both expert and student perspectives across three use scenarios (writing, adjusting, and napping). Perceptual divergence between groups is addressed through Jensen–Shannon divergence–based adaptive weighting, which adjusts expert–student influence according to their agreement level. Scenario-sensitive patterns are extracted via tensor decomposition (a statistical factor analysis technique), while SHAP-enhanced machine learning (an explainable model interpretation method) is employed to identify the most influential predictors of perceived comfort. Findings indicate that relational and emotional dimensions (e.g., Relatability, Learnability, Aesthetics) significantly influence perceived comfort, surpassing structural considerations alone. The study also demonstrates a closed feedback loop from evaluation to redesign, supporting the practical utility of the framework through the optimized chair prototype. Overall, this research offers a replicable and interpretable framework for ergonomic evaluation and data-driven redesign of multifunctional school furniture, contributing to both student-centered learning environments and sustainable educational infrastructure. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
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18 pages, 796 KB  
Article
Hybrid Beamforming via Fourth-Order Tucker Decomposition for Multiuser Millimeter-Wave Massive MIMO Systems
by Haiyang Dong and Zheng Dou
Axioms 2025, 14(9), 689; https://doi.org/10.3390/axioms14090689 - 9 Sep 2025
Viewed by 727
Abstract
To enhance the spectral efficiency of hybrid beamforming in millimeter-wave massive MIMO systems, the problem is formulated as a high-dimensional non-convex optimization under constant modulus constraints. A novel algorithm based on fourth-order tensor Tucker decomposition is proposed. Specifically, the frequency-domain channel matrices are [...] Read more.
To enhance the spectral efficiency of hybrid beamforming in millimeter-wave massive MIMO systems, the problem is formulated as a high-dimensional non-convex optimization under constant modulus constraints. A novel algorithm based on fourth-order tensor Tucker decomposition is proposed. Specifically, the frequency-domain channel matrices are structured into a fourth-order tensor to explicitly capture the couplings across the spatial, frequency, and user domains. To tackle the non-convexity induced by constant modulus constraints, the analog precoder and combiner are derived by solving a truncated-rank Tucker decomposition problem through the Alternating Direction Method of Multipliers and Alternating Least Squares schemes. Subsequently, in the digital domain, the Regularized Block Diagonalization algorithm is integrated with the subcarrier and user factor matrices—obtained from the tensor decomposition—along with the water-filling strategy to design the digital precoder and combiner, thereby achieving a balance between multi-user interference suppression and noise enhancement. The proposed tensor-based algorithm is demonstrated through simulations to outperform existing state-of-the-art schemes. This work provides an efficient and mathematically sound solution for hybrid beamforming in dense multi-user scenarios envisioned for sixth-generation mobile communications. Full article
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16 pages, 2417 KB  
Article
EGFR Amplification in Diffuse Glioma and Its Correlation to Language Tract Integrity
by Alim Emre Basaran, Alonso Barrantes-Freer, Max Braune, Gordian Prasse, Paul-Philipp Jacobs, Johannes Wach, Martin Vychopen, Erdem Güresir and Tim Wende
Diagnostics 2025, 15(17), 2266; https://doi.org/10.3390/diagnostics15172266 - 8 Sep 2025
Viewed by 502
Abstract
Background: The epidermal growth factor receptor (EGFR) is an important factor in the behavior of diffuse glioma, serving as a potential biomarker for tumor aggressiveness and a therapeutic target. Diffusion tensor imaging (DTI) provides insights into the microstructural integrity of brain tissues, [...] Read more.
Background: The epidermal growth factor receptor (EGFR) is an important factor in the behavior of diffuse glioma, serving as a potential biomarker for tumor aggressiveness and a therapeutic target. Diffusion tensor imaging (DTI) provides insights into the microstructural integrity of brain tissues, allowing for detailed visualization of tumor-induced changes in white matter tracts. This imaging technique can complement molecular pathology by correlating imaging findings with molecular markers and genetic profiles, potentially enhancing the understanding of tumor behavior and aiding in the formulation of targeted therapeutic strategies. The present study aimed to investigate the molecular properties of diffuse glioma based on DTI sequences. Methods: A total of 27 patients with diffuse glioma (in accordance with the WHO 2021 classification) were investigated using preoperative DTI sequences. The study was conducted using the tractography software DSI Studio (Hou versions 2025.04.16). Following the preprocessing of the raw data, volumes of the arcuate fasciculus (AF), frontal aslant tract (FAT), inferior fronto-occipital fasciculus (IFOF), superior longitudinal fasciculus (SLF), and uncinate fasciculus (UF) were reconstructed, and fractional anisotropy (FA) was derived. Molecular pathological examination was conducted to assess the presence of EGFR amplifications. Results: The mean age of patients was 56 ± 13 years, with 33% females. EGFR amplification was observed in 8/27 (29.6%) of cases. Following correction for multiple comparisons, FA in the left AF (p = 0.025) and in the left FAT (p = 0.020) was found to be significantly lowered in EGFR amplified glioma. In the right language network, however, no statistically significant changes were observed. Conclusions: EGFR amplification may be associated with lower white matter integrity of left hemispheric language tracts, possibly impairing neurological function and impacting surgical outcomes. The underlying molecular and cellular mechanisms driving this association require further investigation. Full article
(This article belongs to the Special Issue Advanced Brain Tumor Imaging)
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20 pages, 910 KB  
Article
The Instability in the Dimensions of Polynomial Splines of Mixed Smoothness over T-Meshes
by Pengxiao Wang
Mathematics 2025, 13(17), 2886; https://doi.org/10.3390/math13172886 - 6 Sep 2025
Viewed by 480
Abstract
Mixed-smoothness splines facilitate localized control over smoothness; however, the issue of dimensional instability in mixed-smoothness spline spaces remains unstudied in the existing literature. This paper studies such instabilities over T-meshes, where different orders of smoothness are required across interior mesh segments. Using the [...] Read more.
Mixed-smoothness splines facilitate localized control over smoothness; however, the issue of dimensional instability in mixed-smoothness spline spaces remains unstudied in the existing literature. This paper studies such instabilities over T-meshes, where different orders of smoothness are required across interior mesh segments. Using the smoothing cofactor-conformality method, we introduce a constraint on T-meshes to derive a stable dimension formula for mixed-smoothness spline spaces. Furthermore, we show dimensional instability in cases involving T-cycles and nested T-cycles. By defining a singularity factor for each T-cycle, we demonstrate that both dimensional instabilities and structural degenerations are associated with these singularity factors. The work contributes to a deeper understanding of spline spaces defined over non-tensor-product structures. Full article
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21 pages, 6790 KB  
Article
MGFormer: Super-Resolution Reconstruction of Retinal OCT Images Based on a Multi-Granularity Transformer
by Jingmin Luan, Zhe Jiao, Yutian Li, Yanru Si, Jian Liu, Yao Yu, Dongni Yang, Jia Sun, Zehao Wei and Zhenhe Ma
Photonics 2025, 12(9), 850; https://doi.org/10.3390/photonics12090850 - 25 Aug 2025
Viewed by 642
Abstract
Optical coherence tomography (OCT) acquisitions often reduce lateral sampling density to shorten scan time and suppress motion artifacts, but this strategy degrades the signal-to-noise ratio and obscures fine retinal microstructures. To recover these details without hardware modifications, we propose MGFormer, a lightweight Transformer [...] Read more.
Optical coherence tomography (OCT) acquisitions often reduce lateral sampling density to shorten scan time and suppress motion artifacts, but this strategy degrades the signal-to-noise ratio and obscures fine retinal microstructures. To recover these details without hardware modifications, we propose MGFormer, a lightweight Transformer for OCT super-resolution (SR) that integrates a multi-granularity attention mechanism with tensor distillation. A feature-enhancing convolution first sharpens edges; stacked multi-granularity attention blocks then fuse coarse-to-fine context, while a row-wise top-k operator retains the most informative tokens and preserves their positional order. We trained and evaluated MGFormer on B-scans from the Duke SD-OCT dataset at 2×, 4×, and 8× scaling factors. Relative to seven recent CNN- and Transformer-based SR models, MGFormer achieves the highest quantitative fidelity; at 4× it reaches 34.39 dB PSNR and 0.8399 SSIM, surpassing SwinIR by +0.52 dB and +0.026 SSIM, and reduces LPIPS by 21.4%. Compared with the same backbone without tensor distillation, FLOPs drop from 289G to 233G (−19.4%), and per-B-scan latency at 4× falls from 166.43 ms to 98.17 ms (−41.01%); the model size remains compact (105.68 MB). A blinded reader study shows higher scores for boundary sharpness (4.2 ± 0.3), pathology discernibility (4.1 ± 0.3), and diagnostic confidence (4.3 ± 0.2), exceeding SwinIR by 0.3–0.5 points. These results suggest that MGFormer can provide fast, high-fidelity OCT SR suitable for routine clinical workflows. Full article
(This article belongs to the Section Biophotonics and Biomedical Optics)
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12 pages, 320 KB  
Article
Inner Products of Spherical Tensor Operators: A Late Chapter of Racah Algebra
by Peter Uylings
Atoms 2025, 13(8), 73; https://doi.org/10.3390/atoms13080073 - 19 Aug 2025
Viewed by 337
Abstract
Inner products of spherical tensor operators have been used since the early eighties to define orthogonal operators. However, the basic theory and properties are largely missing in the literature. An inner product in any configuration is directly proportional to the inner product taken [...] Read more.
Inner products of spherical tensor operators have been used since the early eighties to define orthogonal operators. However, the basic theory and properties are largely missing in the literature. An inner product in any configuration is directly proportional to the inner product taken in the most basic configuration in which it can occur. The formula for the proportionality factor in question is presented for the first time. This allows the inner products in and between arbitrary configurations to be calculated in advance. In addition, inner products are shown to be independent of the coupling scheme used to construct the state functions. Applications such as the orthogonal operator method and projections of ab initio calculations check for the completeness of the used basis of operators and, importantly, check the matrix elements in any arbitrary configuration, as discussed and illustrated with examples. Closed formulae for the inner products of the well-known Slater and spin–orbit operators are given. Full article
20 pages, 13547 KB  
Article
Hyperspectral Image Denoising via Low-Rank Tucker Decomposition with Subspace Implicit Neural Representation
by Cheng Cheng, Dezhi Sun, Yaoyuan Yang, Zhoucheng Guo and Jiangjun Peng
Remote Sens. 2025, 17(16), 2867; https://doi.org/10.3390/rs17162867 - 18 Aug 2025
Viewed by 1078
Abstract
Hyperspectral image (HSI) denoising is an important preprocessing step for downstream applications. Fully characterizing the spatial-spectral priors of HSI is crucial for denoising tasks. In recent years, denoising methods based on low-rank subspaces have garnered widespread attention. In the low-rank matrix factorization framework, [...] Read more.
Hyperspectral image (HSI) denoising is an important preprocessing step for downstream applications. Fully characterizing the spatial-spectral priors of HSI is crucial for denoising tasks. In recent years, denoising methods based on low-rank subspaces have garnered widespread attention. In the low-rank matrix factorization framework, the restoration of HSI can be formulated as a task of recovering two subspace factors. However, hyperspectral images are inherently three-dimensional tensors, and transforming the tensor into a matrix for operations inevitably disrupts the spatial structure of the data. To address this issue and better capture the spatial-spectral priors of HSI, this paper proposes a modeling approach named low-rank Tucker decomposition with subspace implicit neural representation (LRTSINR). This data-driven and model-driven joint modeling mechanism has the following two advantages: (1) Tucker decomposition allows for the characterization of the low-rank properties across multiple dimensions of the HSI, leading to a more accurate representation of spectral priors; (2) Implicit neural representation enables the adaptive and precise characterization of the subspace factor continuity under Tucker decomposition. Extensive experiments demonstrate that our method outperforms a series of competing methods. Full article
(This article belongs to the Section Remote Sensing Image Processing)
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27 pages, 1577 KB  
Article
Near-Field Channel Parameter Estimation and Localization for mmWave Massive MIMO-OFDM ISAC Systems via Tensor Analysis
by Lanxiang Jiang, Jingyi Guan, Jianhe Du, Wei Jiang and Yuan Cheng
Sensors 2025, 25(16), 5050; https://doi.org/10.3390/s25165050 - 14 Aug 2025
Viewed by 766
Abstract
Integrated Sensing And Communication (ISAC) has been applied to the Internet of Things (IoT) network as a promising 6G technology due to its ability to enhance spectrum utilization and reduce resource consumption, making it ideal for high-precision sensing applications. However, while the introduction [...] Read more.
Integrated Sensing And Communication (ISAC) has been applied to the Internet of Things (IoT) network as a promising 6G technology due to its ability to enhance spectrum utilization and reduce resource consumption, making it ideal for high-precision sensing applications. However, while the introduction of millimeter Wave (mmWave) and massive Multiple-Input Multiple-Output (MIMO) technologies can enhance the performance of ISAC systems, they extend the near-field region, rendering traditional channel parameter estimation algorithms ineffective due to the spherical wavefront channel model. Aiming to address the challenge, we propose a tensor-based channel parameter estimation and localization algorithm for the near-field mmWave massive MIMO-Orthogonal Frequency Division Multiplexing (OFDM) ISAC systems. Firstly, the received signal at the User Terminal (UT) is constructed as a third-order tensor to retain the multi-dimensional features of the data. Then, the proposed tensor-based algorithm achieves the channel parameter estimation and target localization by exploiting the second-order Taylor expansion and intrinsic structure of tensor factor matrices. Furthermore, the Cramér–Rao Bounds (CRBs) of channel parameters and position are derived to establish the lower bound of errors. Simulation results show that the proposed tensor-based algorithm is superior compared to the existing algorithms in terms of channel parameter estimation and localization accuracy in ISAC systems for IoT network, achieving errors that approach the CRBs. Specifically, the proposed algorithm attains a 79.8% improvement in UT positioning accuracy compared to suboptimal methods at SNR = 5 dB. Full article
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13 pages, 277 KB  
Article
New Conformally Invariant Born–Infeld Models and Geometrical Currents
by Diego Julio Cirilo-Lombardo
Physics 2025, 7(3), 36; https://doi.org/10.3390/physics7030036 - 13 Aug 2025
Viewed by 1038
Abstract
A new conformally invariant gravitational generalization of the Born–Infeld (BI) model is proposed and analyzed from the point of view of symmetries. Taking a geometric identity involving the determinant functions detfBμν, Fμν with the Bach [...] Read more.
A new conformally invariant gravitational generalization of the Born–Infeld (BI) model is proposed and analyzed from the point of view of symmetries. Taking a geometric identity involving the determinant functions detfBμν, Fμν with the Bach Bμν and the electromagnetic field Fμν tensors (with the 4-dimensional Greek letter indexes), two characteristic geometrical Lagrangian densities (Lagrangians) are derived: the first Lagrangian being the square root of the determinant function detBμν+Fμν (reminiscent of the standard BI model) and the second Lagrangian being the fourth root gdetBαγBβγ+FαγFβγ4. It is shown, after explicit computation of the gravitational equations, that the square-root model is incompatible with the inclusion of the electromagnetic tensor, consequently forcing the nullity of Fμν. In sharp contrast, the traceless fourth-root model is fully compatible and a natural ansatz of the type BμρBνρΩxgμν (conformal-Killing), with Ω the conformal factor and x the 4-coordinate, can be considered. Among other essential properties, the geometrical conformal Lagrangian of the fourth-root type is self-similar with respect to the determinant g of the metric tensor gμν and can be extended to non-Abelian fields in a way similar to the model developed by the author earlier. This self-similarity is related to the conformal properties of the model, such as the Bach currents or flows presumably of a topological origin. Possible applications and comparisons with other models are briefly discussed. Full article
(This article belongs to the Special Issue Beyond the Standard Models of Physics and Cosmology: 2nd Edition)
10 pages, 621 KB  
Review
Optimizing Hip Abductor Strengthening for Lower Extremity Rehabilitation: A Narrative Review on the Role of Monster Walk and Lateral Band Walk
by Ángel González-de-la-Flor
J. Funct. Morphol. Kinesiol. 2025, 10(3), 294; https://doi.org/10.3390/jfmk10030294 - 30 Jul 2025
Viewed by 5230
Abstract
Introduction: Hip abductor strength is essential for pelvic stability, lower limb alignment, and injury prevention. Weaknesses of the gluteus medius and minimus contribute to various musculoskeletal conditions. Lateral band walks and monster walks are elastic resistance exercises commonly used to target the [...] Read more.
Introduction: Hip abductor strength is essential for pelvic stability, lower limb alignment, and injury prevention. Weaknesses of the gluteus medius and minimus contribute to various musculoskeletal conditions. Lateral band walks and monster walks are elastic resistance exercises commonly used to target the hip abductors and external rotators in functional, weight-bearing tasks. Therefore, the aim was to summarize the current evidence on the biomechanics, muscle activation, and clinical applications of lateral and monster band walks. Methods: This narrative review was conducted following the SANRA guideline. A comprehensive literature search was performed across PubMed, Scopus, Web of Science, and SPORTDiscus up to April 2025. Studies on the biomechanics, electromyography, and clinical applications of lateral band walks and monster walks were included, alongside relevant evidence on hip abductor strengthening. Results: A total of 13 studies were included in the review, of which 4 specifically investigated lateral band walk and/or monster walk exercises. Lateral and monster walks elicit moderate to high activation of the gluteus medius and maximus, especially when performed with the band at the ankles or forefeet and in a semi-squat posture. This technique minimizes compensation from the tensor fasciae latae and promotes selective gluteal recruitment. Proper execution requires control of the trunk and pelvis, optimal squat depth, and consistent band tension. Anatomical factors (e.g., femoral torsion), sex differences, and postural variations may influence movement quality and necessitate tailored instruction. Full article
(This article belongs to the Special Issue Biomechanical Analysis in Physical Activity and Sports—2nd Edition)
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17 pages, 7542 KB  
Article
Accelerated Tensor Robust Principal Component Analysis via Factorized Tensor Norm Minimization
by Geunseop Lee
Appl. Sci. 2025, 15(14), 8114; https://doi.org/10.3390/app15148114 - 21 Jul 2025
Viewed by 551
Abstract
In this paper, we aim to develop an efficient algorithm for the solving Tensor Robust Principal Component Analysis (TRPCA) problem, which focuses on obtaining a low-rank approximation of a tensor by separating sparse and impulse noise. A common approach is to minimize the [...] Read more.
In this paper, we aim to develop an efficient algorithm for the solving Tensor Robust Principal Component Analysis (TRPCA) problem, which focuses on obtaining a low-rank approximation of a tensor by separating sparse and impulse noise. A common approach is to minimize the convex surrogate of the tensor rank by shrinking its singular values. Due to the existence of various definitions of tensor ranks and their corresponding convex surrogates, numerous studies have explored optimal solutions under different formulations. However, many of these approaches suffer from computational inefficiency primarily due to the repeated use of tensor singular value decomposition in each iteration. To address this issue, we propose a novel TRPCA algorithm that introduces a new convex relaxation for the tensor norm and computes low-rank approximation more efficiently. Specifically, we adopt the tensor average rank and tensor nuclear norm, and further relax the tensor nuclear norm into a sum of the tensor Frobenius norms of the factor tensors. By alternating updates of the truncated factor tensors, our algorithm achieves efficient use of computational resources. Experimental results demonstrate that our algorithm achieves significantly faster performance than existing reference methods known for efficient computation while maintaining high accuracy in recovering low-rank tensors for applications such as color image recovery and background subtraction. Full article
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