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35 pages, 9273 KiB  
Review
A Review of Multi-Fidelity Learning Approaches for Electromagnetic Problems
by Ricardo E. Sendrea, Constantinos L. Zekios and Stavros V. Georgakopoulos
Electronics 2025, 14(1), 89; https://doi.org/10.3390/electronics14010089 (registering DOI) - 28 Dec 2024
Abstract
The demand for fast and accurate electromagnetic solutions to support current and emerging technologies has fueled the rapid development of various machine learning techniques for applications such as antenna design and optimization, microwave imaging, device diagnostics, and more. Multi-fidelity (MF) surrogate modeling methods [...] Read more.
The demand for fast and accurate electromagnetic solutions to support current and emerging technologies has fueled the rapid development of various machine learning techniques for applications such as antenna design and optimization, microwave imaging, device diagnostics, and more. Multi-fidelity (MF) surrogate modeling methods have shown great promise in significantly reducing computational costs associated with surrogate modeling while maintaining high model accuracy. This work offers a comprehensive review of the available MF surrogate modeling methods in electromagnetics, focusing on specific methodologies, related challenges, and the generation of variable-fidelity datasets. The article is structured around the two main types of electromagnetic problems: forward and inverse. It begins by summarizing key machine learning concepts and limitations. This transitions to discussing multi-fidelity surrogate model architectures and low-fidelity data techniques for the forward problem. Subsequently, the unique challenges of the inverse problem are presented, along with traditional solutions and their limitations. Following this, the review examines MF surrogate modeling approaches tailored to the inverse problem. In conclusion, the review outlines promising future directions in MF modeling for electromagnetics, aiming to provide fundamental insights into understanding these developing methods. Full article
(This article belongs to the Special Issue The Latest Progress in Computational Electromagnetics and Beyond)
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<p>An overview of the different types of machine learning architectures. (<b>a</b>) Supervised learning is when the training data consists of input <span class="html-italic">x</span> and output <span class="html-italic">y</span> pairs. (<b>b</b>) Unsupervised learning is when trends (i.e., clustering) within the input or output datasets are identified. (<b>c</b>) Reinforced learning is when an agent is rewarded based on its input to the environment.</p>
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<p>An illustration of the different data representations used in EM machine learning problems, where a microstrip patch antenna (<b>left</b>) is used as an example. The inputs can be represented as (<b>top</b>) a vector of the model parameters (i.e., length, width, permittivity, and frequency), (<b>center</b>) a binary image based on where metal is located, or (<b>bottom</b>) a graph based on the connectivity matrix of triangular basis functions. Notably, the goal of the modeling process guides the selection of the appropriate representation.</p>
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<p>Graphical overview of the deep learning-based multi-fidelity model using three stacked regression models. The first model learns the behavior of the low-fidelity response, <math display="inline"><semantics> <msub> <mi>y</mi> <mi>LF</mi> </msub> </semantics></math>. The output of this model is appended to the high-fidelity sample inputs, <math display="inline"><semantics> <msub> <mi>x</mi> <mi>HF</mi> </msub> </semantics></math>, as <math display="inline"><semantics> <mrow> <mo>[</mo> <msub> <mi>y</mi> <mi>LF</mi> </msub> <mo>,</mo> <msub> <mi>x</mi> <mi>HF</mi> </msub> <mo>]</mo> </mrow> </semantics></math>, which is referred to as <math display="inline"><semantics> <msubsup> <mi>X</mi> <mrow> <mi>HF</mi> </mrow> <mo>*</mo> </msubsup> </semantics></math>, and utilized as the input of the two models that learn the linear, <math display="inline"><semantics> <mrow> <mi>y</mi> <mi mathvariant="normal">l</mi> </mrow> </semantics></math>, and non-linear, <math display="inline"><semantics> <msub> <mi>y</mi> <mi>nl</mi> </msub> </semantics></math>, correlations between the low-fidelity output and the high-fidelity output, <math display="inline"><semantics> <msub> <mi>y</mi> <mi>HF</mi> </msub> </semantics></math>.</p>
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<p>General overview of the fully connected layer architecture using two input branches to obtain the non-linear transformation from the LF response <math display="inline"><semantics> <msub> <mi>y</mi> <mi>LF</mi> </msub> </semantics></math> to the HF response <math display="inline"><semantics> <msub> <mi>y</mi> <mi>HF</mi> </msub> </semantics></math>. The number of layers and number of neurons will vary depending on the scenario; however, the final layer should be the number of outputs <math display="inline"><semantics> <mrow> <mi>n</mi> <mi>O</mi> <mi>b</mi> <mi>j</mi> </mrow> </semantics></math>, i.e., the size of the EM response.</p>
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<p>(<b>a</b>) A loop antenna and (<b>b</b>) its broadside directivity response across the wavenumber <math display="inline"><semantics> <msub> <mi>k</mi> <mi mathvariant="normal">b</mi> </msub> </semantics></math> as the simulation model density, <math display="inline"><semantics> <msub> <mi>N</mi> <mi>dis</mi> </msub> </semantics></math>, changes.</p>
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<p>A rectangular microstrip patch antenna (<b>left</b>) transformed to its equivalent circuit model (<b>right</b>) using the transmission-line model.</p>
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<p>An arbitrary domain of interest <span class="html-italic">D</span>, defined by boundary <span class="html-italic">B</span>, has fields (electric or magnetic) <math display="inline"><semantics> <msub> <mi mathvariant="bold">F</mi> <mi mathvariant="normal">D</mi> </msub> </semantics></math> that satisfy Maxwell’s equations. Domain <span class="html-italic">D</span> is embedded inside a canonical domain <math display="inline"><semantics> <mover accent="true"> <mi>D</mi> <mo stretchy="false">^</mo> </mover> </semantics></math> domain, defined by a boundary <math display="inline"><semantics> <mover accent="true"> <mi>B</mi> <mo stretchy="false">^</mo> </mover> </semantics></math>, which is completely defined by a set of eigenfunction expansions (EE).</p>
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<p>Illustration of the three inverse problem types, (<b>a</b>) inverse design, (<b>b</b>) electronic device diagnosis, and (<b>c</b>) inverse scattering problem.</p>
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<p>Illustration of the two-dimensional inverse scattering problem. The region of interest <span class="html-italic">D</span> is illuminated by a set of <math display="inline"><semantics> <msub> <mi>N</mi> <mi mathvariant="normal">i</mi> </msub> </semantics></math> transmitters along boundary <span class="html-italic">C</span>. The scattered field due to the hidden object <span class="html-italic">S</span> is measured by a set of receivers <math display="inline"><semantics> <msub> <mi>N</mi> <mi mathvariant="normal">s</mi> </msub> </semantics></math> along boundary <span class="html-italic">C</span>.</p>
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<p>Overview of the inverse scattering problem, where (<b>a</b>) scattered fields of an illuminated RoI are measured, (<b>b</b>) an approximation is obtained using a non-iterative solution, then (<b>c</b>) the approximation is iteratively updated until some pre-defined accuracy threshold is achieved.</p>
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<p>Illustration of popular ISP training data structures, following (<b>a</b>) MNIST dataset, (<b>b</b>) EMNIST dataset, and (<b>c</b>) random canonical structure data. The structures were assigned a random permittivity value <math display="inline"><semantics> <mrow> <msub> <mi>ϵ</mi> <mi mathvariant="normal">r</mi> </msub> <mo>=</mo> <mrow> <mo>[</mo> <mn>1.1</mn> <mo>,</mo> <mn>2</mn> <mo>]</mo> </mrow> </mrow> </semantics></math>.</p>
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<p>Illustration of the SOM-Net used in [<a href="#B69-electronics-14-00089" class="html-bibr">69</a>]. The model input includes an image of the deterministic induced current (for <math display="inline"><semantics> <msub> <mi>N</mi> <mi mathvariant="normal">i</mi> </msub> </semantics></math> illuminations) and the raw contrast image derived from BP. The model output is the final corrected induced current (two channels for real and imaginary components), which is used to obtain the predicted scattered field <math display="inline"><semantics> <msub> <mi>E</mi> <mi mathvariant="normal">s</mi> </msub> </semantics></math> and the final contrast reconstruction <math display="inline"><semantics> <msub> <mi>χ</mi> <mi mathvariant="normal">N</mi> </msub> </semantics></math> following the SOM. The model topology follows a traditional U-Net layout [<a href="#B72-electronics-14-00089" class="html-bibr">72</a>], where the encoding steps follows a <math display="inline"><semantics> <mrow> <mn>2</mn> <mo>×</mo> <mn>2</mn> </mrow> </semantics></math> max-pooling layer followed by two <math display="inline"><semantics> <mrow> <mn>3</mn> <mo>×</mo> <mn>3</mn> </mrow> </semantics></math> convolutional layers with batch normalization and ReLU activation functions. The decoder operation mirrors the encoding step, where a <math display="inline"><semantics> <mrow> <mn>2</mn> <mo>×</mo> <mn>2</mn> </mrow> </semantics></math> up-convolution layer replaces the max-pooling step.</p>
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<p>Overview of the corrective-type physics-based models, where generally an ensemble of surrogate models focus on learning reconstruction sub-tasks. The first model learns based on physics to generate an initial guess <math display="inline"><semantics> <msub> <mi>χ</mi> <mn>0</mn> </msub> </semantics></math>. Then, <math display="inline"><semantics> <msub> <mi>χ</mi> <mn>0</mn> </msub> </semantics></math> is corrected following a multi-fidelity data-driven approach, <math display="inline"><semantics> <mrow> <msub> <mi>χ</mi> <mn>0</mn> </msub> <mo>=</mo> <msub> <mi>χ</mi> <mi>LF</mi> </msub> <mo>→</mo> <msub> <mi>χ</mi> <msup> <mrow> <mi>HF</mi> </mrow> <mo>′</mo> </msup> </msub> </mrow> </semantics></math>. Finally, a third model based on super-resolution methods further improves the reconstruction, <math display="inline"><semantics> <mrow> <msub> <mi>χ</mi> <msup> <mrow> <mi>HF</mi> </mrow> <mo>′</mo> </msup> </msub> <mo>→</mo> <msub> <mi>χ</mi> <mi>HF</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Overview of future multi-fidelity implementations based on existing ML-based forward and inverse solutions. Specifically, the MF model leverages multiple sets of variable-fidelity data, where the majority of data arrives from a low-fidelity approach.</p>
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17 pages, 15261 KiB  
Article
Automatic Detection of Railway Faults Using Neural Networks: A Comparative Study of Transfer Learning Models and YOLOv11
by Omar Rodríguez-Abreo, Mario A. Quiroz-Juárez, Idalberto Macías-Socarras, Juvenal Rodríguez-Reséndiz, Juan M. Camacho-Pérez, Gabriel Carcedo-Rodríguez and Enrique Camacho-Pérez
Infrastructures 2025, 10(1), 3; https://doi.org/10.3390/infrastructures10010003 (registering DOI) - 28 Dec 2024
Viewed by 44
Abstract
Developing reliable railway fault detection systems is crucial for ensuring both safety and operational efficiency. Various artificial intelligence frameworks, especially deep learning models, have shown significant potential in enhancing fault detection within railway infrastructure. This study explores the application of deep learning models [...] Read more.
Developing reliable railway fault detection systems is crucial for ensuring both safety and operational efficiency. Various artificial intelligence frameworks, especially deep learning models, have shown significant potential in enhancing fault detection within railway infrastructure. This study explores the application of deep learning models for railway fault detection, focusing on both transfer learning architectures and a novel classification framework. Transfer learning was utilized with architectures such as ResNet50V2, Xception, VGG16, MobileNet, and InceptionV3, which were fine-tuned to classify railway track images into defective and non-defective categories. Additionally, the state-of-the-art YOLOv11 model was adapted for the same classification task, leveraging advanced data augmentation techniques to achieve high accuracy. Among the transfer learning models, VGG16 demonstrated the best performance with a test accuracy of 89.18%. However, YOLOv11 surpassed all models, achieving a test accuracy of 92.64% while maintaining significantly lower computational demands. These findings underscore the versatility of deep learning models and highlight the potential of YOLOv11 as an efficient and accurate solution for railway fault classification tasks. Full article
(This article belongs to the Special Issue Railway in the City (RiC))
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<p>Samples from the dataset illustrating various fault types on railway tracks. (<b>a</b>–<b>d</b>) Examples of rail fractures, showing cracks and separations on the rail surface; (<b>e</b>–<b>h</b>) wear and broken hooks, highlighting the degradation and damage to rail fasteners; (<b>i</b>–<b>l</b>) critical breakages with artifacts, demonstrating severe failures such as complete rail splits and displacements.</p>
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<p>Example of all transformations in the data augmentation process.</p>
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<p>The diagram illustrates the overall structure of the deep learning model used for railway track fault detection.</p>
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<p>Stage 3 models’ learning curves.</p>
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<p>Stage 4 models’ learning curves.</p>
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<p>Stage 5 models’ learning curves.</p>
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<p>Training and validation loss and accuracy curves for the YOLOv11 model.</p>
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31 pages, 3155 KiB  
Article
Research on Spaceborne Neural Network Accelerator and Its Fault Tolerance Design
by Yingzhao Shao, Junyi Wang, Xiaodong Han, Yunsong Li, Yaolin Li and Zhanpeng Tao
Remote Sens. 2025, 17(1), 69; https://doi.org/10.3390/rs17010069 (registering DOI) - 28 Dec 2024
Viewed by 143
Abstract
To meet the high-reliability requirements of real-time on-orbit tasks, this paper proposes a fault-tolerant reinforcement design method for spaceborne intelligent processing algorithms based on convolutional neural networks (CNNs). This method is built on a CNN accelerator using Field-Programmable Gate Array (FPGA) technology, analyzing [...] Read more.
To meet the high-reliability requirements of real-time on-orbit tasks, this paper proposes a fault-tolerant reinforcement design method for spaceborne intelligent processing algorithms based on convolutional neural networks (CNNs). This method is built on a CNN accelerator using Field-Programmable Gate Array (FPGA) technology, analyzing the impact of Single-Event Upsets (SEUs) on neural network computation. The accelerator design integrates data validation, Triple Modular Redundancy (TMR), and other techniques, optimizing a partial fault-tolerant architecture based on SEU sensitivity. This fault-tolerant architecture analyzes the hardware accelerator, parameter storage, and actual computation, employing data validation to reinforce model parameters and spatial and temporal TMR to reinforce accelerator computations. Using the ResNet18 model, fault tolerance performance tests were conducted by simulating SEUs. Compared to the prototype network, this fault-tolerant design method increases tolerance to SEU error accumulation by five times while increasing resource consumption by less than 15%, making it more suitable for spaceborne on-orbit applications than traditional fault-tolerant design approaches. Full article
20 pages, 5327 KiB  
Article
Using a YOLO Deep Learning Algorithm to Improve the Accuracy of 3D Object Detection by Autonomous Vehicles
by Ramavhale Murendeni, Alfred Mwanza and Ibidun Christiana Obagbuwa
World Electr. Veh. J. 2025, 16(1), 9; https://doi.org/10.3390/wevj16010009 (registering DOI) - 27 Dec 2024
Viewed by 303
Abstract
This study presents an adaptation of the YOLOv4 deep learning algorithm for 3D object detection, addressing a critical challenge in autonomous vehicle (AV) systems: accurate real-time perception of the surrounding environment in three dimensions. Traditional 2D detection methods, while efficient, fall short in [...] Read more.
This study presents an adaptation of the YOLOv4 deep learning algorithm for 3D object detection, addressing a critical challenge in autonomous vehicle (AV) systems: accurate real-time perception of the surrounding environment in three dimensions. Traditional 2D detection methods, while efficient, fall short in providing the depth and spatial information necessary for safe navigation. This research modifies the YOLOv4 architecture to predict 3D bounding boxes, object depth, and orientation. Key contributions include introducing a multi-task loss function that optimizes 2D and 3D predictions and integrating sensor fusion techniques that combine RGB camera data with LIDAR point clouds for improved depth estimation. The adapted model, tested on real-world datasets, demonstrates a significant increase in 3D detection accuracy, achieving a mean average precision (mAP) of 85%, intersection over union (IoU) of 78%, and near real-time performance at 93–97% for detecting vehicles and 75–91% for detecting people. This approach balances high detection accuracy and real-time processing, making it highly suitable for AV applications. This study advances the field by showing how an efficient 2D detector can be extended to meet the complex demands of 3D object detection in real-world driving scenarios without sacrificing computational efficiency. Full article
(This article belongs to the Special Issue Motion Planning and Control of Autonomous Vehicles)
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<p>YOLOv3, reprinted from Ref [<a href="#B32-wevj-16-00009" class="html-bibr">32</a>].</p>
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<p>SSD network structure, reprinted from Ref [<a href="#B32-wevj-16-00009" class="html-bibr">32</a>].</p>
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<p>RetinaNet structure, reprinted from Ref [<a href="#B32-wevj-16-00009" class="html-bibr">32</a>].</p>
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<p>Sample Image 1.</p>
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<p>In the Image, we can see that the camera-based and deep learning-based detection methods function together perfectly, as the image taken by a camera is easily detected, and the cars were detected, as indicated by the addition of boxes around them.</p>
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<p>The YOLO deep learning algorithm proved to be a viable option for enhancing the accuracy of 3D object identification systems in self-driving vehicles.</p>
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<p>Sample Image 2.</p>
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<p>The sample image includes cars and people; the three closest people were identified with confidence scores between 91% and 79%, which is very high and good, and the four closest vehicles were identified with confidence scores ranging from 95% to 93%.</p>
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<p>Sample Image 3.</p>
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14 pages, 500 KiB  
Article
Towards Intelligent Edge Computing: A Resource- and Reliability-Aware Hybrid Scheduling Method on Multi-FPGA Systems
by Zeyu Li, Yuchen Hao, Hongxu Gao and Jia Zhou
Electronics 2025, 14(1), 82; https://doi.org/10.3390/electronics14010082 (registering DOI) - 27 Dec 2024
Viewed by 114
Abstract
Multi-FPGA systems can form larger and more powerful computing units through high-speed interconnects between chips, and are beginning to be widely used by various computing service providers, especially in edge computing. However, the new computing architecture brings new challenges to efficient and reliable [...] Read more.
Multi-FPGA systems can form larger and more powerful computing units through high-speed interconnects between chips, and are beginning to be widely used by various computing service providers, especially in edge computing. However, the new computing architecture brings new challenges to efficient and reliable task scheduling. In this context, we propose a resource- and reliability-aware hybrid scheduling method on Multi-FPGA systems. First, a set of models is established based on the resource/time requirements, communication overhead, and state conversion process of tasks to further analyze the constraints of system scheduling. On this basis, the large task is divided into subtasks based on the data dependency matrix, and the Maintenance Multiple Sequence (MMS) algorithm is used to generate execution sequences for each subtask to the Multi-FPGA systems to fully exploit resources and ensure reliable operation. Compared with state-of-the-art scheduling methods, the proposed method can achieve an average increase in resource utilization of 7%; in terms of reliability, it achieves good execution gains, with an average task completion rate of 98.3% and a mean time to failure of 15.7 years. Full article
(This article belongs to the Special Issue New Advances in Distributed Computing and Its Applications)
19 pages, 1203 KiB  
Article
Resilient Privacy Preservation Through a Presumed Secrecy Mechanism for Mobility and Localization in Intelligent Transportation Systems
by Meshari D. Alanazi, Mohammed Albekairi, Ghulam Abbas, Turki M. Alanazi, Khaled Kaaniche, Gehan Elsayed and Paolo Mercorelli
Sensors 2025, 25(1), 115; https://doi.org/10.3390/s25010115 (registering DOI) - 27 Dec 2024
Viewed by 187
Abstract
An intelligent transportation system (ITS) offers commercial and personal movement through the smart city (SC) communication paradigms with hassle-free information sharing. ITS designs and architectures have improved via information and communication technologies in recent years. The information shared through the communication medium in [...] Read more.
An intelligent transportation system (ITS) offers commercial and personal movement through the smart city (SC) communication paradigms with hassle-free information sharing. ITS designs and architectures have improved via information and communication technologies in recent years. The information shared through the communication medium in SCs is exposed to adversary risk, resulting in privacy issues. Privacy issues impact the contingent mobility and localization of the ITS path. This paper introduces a novel resilient privacy preserving (RPP) method through presumed secrecy (PS) to provide a robust privacy measure. The privacy of the progressive communication sessions is preserved based on the previous security depletion levels. The interruptions in traffic data-related communication sessions are recurrently identified, and re-handoffs are recommended with dodged transfer learning. The empirical results indicate a 25% reduction in computational overhead and a 30% enhancement in privacy protection over conventional methods, demonstrating the model’s efficacy in secure ITS communication. Compared with existing methods, the proposed approach decreases security depletion rates by 15% across varying traffic densities, underscoring ITS resilience in high-interaction scenarios. Full article
(This article belongs to the Section Intelligent Sensors)
21 pages, 3079 KiB  
Article
An Integrated Method for Selecting Architecture Alternatives and Reconfiguration Options Towards System-of-Systems Resilience
by Zhemei Fang, Hang Li and Dazhi Chen
Systems 2025, 13(1), 9; https://doi.org/10.3390/systems13010009 - 27 Dec 2024
Viewed by 202
Abstract
Delivering persistent values in a dynamic environment is a challenging but imperative capability for a system-of-systems (SoS). Practitioners in the SoS and defense domains are exploring the benefits of the operational-level reconfiguration strategies via new operational concepts such as mosaic warfare. However, an [...] Read more.
Delivering persistent values in a dynamic environment is a challenging but imperative capability for a system-of-systems (SoS). Practitioners in the SoS and defense domains are exploring the benefits of the operational-level reconfiguration strategies via new operational concepts such as mosaic warfare. However, an architecture design that allows reconfiguration is also a crucial task, but has not yet received adequate attention, not to mention accounting for the mutual impact between architecture design alternatives and reconfiguration options. Therefore, this paper proposes an integrated method that can select the architecture with a specific inherent structure in the design phase that supports dynamic reconfiguration during the operational phase. This method firstly builds a structural framework that connects architecture design and reconfiguration, and identifies the enablers for SoS architecture reconfiguration. After developing an SoS effectiveness evaluator, the method constructs an integrated multi-objective formulation for the initial architecture selection and reconfiguration process, and provides a solution algorithm based on a fast non-dominated sorting genetic algorithm. An application to an air and missile defense SoS illustrates the effectiveness of the proposed method. The generated Pareto optimal set of solutions that have non-dominated recoverability and survivability provide useful decision support for SoS composition and initial architecture configuration, based upon which an SoS can also respond effectively to disruptions by computing the reconfiguration decisions. Full article
(This article belongs to the Special Issue System of Systems Engineering)
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<p>SoS architecture and potential reconfiguration options analysis.</p>
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<p>SoS architecture reconfiguration process.</p>
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<p>Structure of SoS effectiveness evaluator.</p>
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<p>SoS architecture design problem with reconfiguration options.</p>
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<p>SoS effectiveness change process during disruption and reconfiguration.</p>
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<p>Operational architecture of a synthetic naval AMD SoS.</p>
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<p>Operational activities mapping to capability.</p>
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<p>Pareto fronts of the experiment with one system disruption.</p>
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<p>Pareto front of the experiment with disruptions to three systems.</p>
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<p>Pareto fronts of the experiment with communication link disruption.</p>
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42 pages, 3902 KiB  
Article
Computer Architecture for Industrial Training Evaluation
by Luz E. Gutiérrez, Carlos A. Guerrero, Mark M. Betts, Daladier Jabba, Wilson Nieto and Héctor A. López-Ospina
Appl. Syst. Innov. 2025, 8(1), 6; https://doi.org/10.3390/asi8010006 - 27 Dec 2024
Viewed by 176
Abstract
Companies have tried to innovate in their training processes to increase their productivity indicators, reduce equipment maintenance costs, and improve the work environment. The use of Augmented Reality (AR) has been one of the implemented strategies to upgrade training processes, since it optimizes, [...] Read more.
Companies have tried to innovate in their training processes to increase their productivity indicators, reduce equipment maintenance costs, and improve the work environment. The use of Augmented Reality (AR) has been one of the implemented strategies to upgrade training processes, since it optimizes, through User Interface (UI) Design, experiences designed for users (UX) that are focused on education and training contexts. This research describes the definition and implementation of an IT architecture based on the ISO/IEC/IEEE 42010 standard using the Zachman and Kruchten frameworks. The methodological proposal presents an architecture seen from a business perspective, taking into account the strategic and technological components of the organization under a strategic alignment approach. The result is a six-layer architecture: The Government Strategy Layer (1) that accounts for the strategic component; the Business Layer (2) that presents the business management perspective; the Information Layer (4) that defines the metrics system: efficiency through task time, effectiveness through tasks completed, and satisfaction with overall satisfaction. In the Data Layer (4), the data collected with the metrics are structured in an industrial scenario with a cylinder turning process on a Winston Lathe. The experiment was carried out with two groups of 272 participants. In the Systems and Applications Layer (5), two applications were designed: a web client and a mobile application with augmented reality, and finally, the Networks and Infrastructure Layer (6), which delivers the two functional applications. The architecture validation was carried out using the mobile application. The analysis of the results showed a significance value of less than 0.001 in the three indicators: efficiency, effectiveness, and satisfaction in the Levene test and Student’s t-test. To corroborate the results, a test of equality of means with the Mann–Whitney U was carried out, showing that the three indicators presented significantly different values in the two experimental groups of this study. Thus, the group trained with the application obtained better results in the three indicators. The proposed architecture is adaptable to other training contexts. Information, data, and systems and application layers allowed for the exchange of training processes so that the augmented reality application is updated according to the new requirements. Full article
21 pages, 66390 KiB  
Article
Photorealistic Texture Contextual Fill-In
by Radek Richtr
Heritage 2025, 8(1), 9; https://doi.org/10.3390/heritage8010009 - 27 Dec 2024
Viewed by 178
Abstract
This paper presents a comprehensive study of the application of AI-driven inpainting techniques to the restoration of historical photographs of the Czech city Most, with a focus on restoration and reconstructing the lost architectural heritage. The project combines state-of-the-art methods, including generative adversarial [...] Read more.
This paper presents a comprehensive study of the application of AI-driven inpainting techniques to the restoration of historical photographs of the Czech city Most, with a focus on restoration and reconstructing the lost architectural heritage. The project combines state-of-the-art methods, including generative adversarial networks (GANs), patch-based inpainting, and manual retouching, to restore and enhance severely degraded images. The reconstructed/restored photographs of the city Most offer an invaluable visual representation of a city that was largely destroyed for industrial purposes in the 20th century. Through a series of blind and informed user tests, we assess the subjective quality of the restored images and examine how knowledge of edited areas influences user perception. Additionally, this study addresses the technical challenges of inpainting, including computational demands, interpretability, and bias in AI models. Ethical considerations, particularly regarding historical authenticity and speculative reconstruction, are also discussed. The findings demonstrate that AI techniques can significantly contribute to the preservation of cultural heritage, but must be applied with careful oversight to maintain transparency and cultural integrity. Future work will focus on improving the interpretability and efficiency of these methods, while ensuring that reconstructions remain historically and culturally sensitive. Full article
(This article belongs to the Section Cultural Heritage)
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<p>Examples of original archive photos of Most in various quality.</p>
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<p>Examples of the ability to reconstruct color an restore artificially damaged photograph.</p>
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<p>(<b>Left</b>): A sample photo where shading obscures much of the building, making reconstruction difficult. The appearance of a large part of the building is unknown and cannot be obtained even from historical photographs; (<b>Right</b>): Objects removed and replaced with one of the possible reconstructions of the obscured content.</p>
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<p>Four possible results of filling the obscured area using the content-aware fill method [<a href="#B6-heritage-08-00009" class="html-bibr">6</a>].</p>
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<p>Reference data for the colorization process. Unfortunately, the amount of similar, usually hand-colored photographs is extremely small.</p>
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<p>Sample of several colored complex photographs of Most city.</p>
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<p>(<b>First row</b>): Original black and white photograph and reconstructed color image without obscuring objects; (<b>Second row left</b>): colorized photo with photos with marked obstructing objects; (<b>rest</b>): gradually removed objects, content supplemented by generative AI. Objects must be removed in order from the most distant obscuring object to the object closest to the reconstructed object.</p>
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<p>Two possible results of shop signs color on the Peace square.</p>
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<p>(<b>Left</b>): Graph of user Informed test of the quality of synthesis of photos of the Bridge (selection of twenty random photos of Peace Square and adjacent streets). Value 1 is the minimum (unsuccessful retouching, obvious manipulation) value 5 is the maximum (high-quality and successful retouching, imperceptible manipulation); (<b>Right</b>): Graph of user Blind test of the quality of synthesis of photos of the Bridge (selection of twenty random photos of Peace Square and adjacent streets). Value 1 is the minimum (unsuccessful retouching, obvious manipulation) value 5 is the maximum (high-quality and successful retouching, imperceptible manipulation).</p>
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<p>Retouched photo example with color-coded overlays. Each colored region indicates an area where a significant object was removed and subsequently reconstructed.</p>
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19 pages, 4546 KiB  
Article
MultiPhys: Heterogeneous Fusion of Mamba and Transformer for Video-Based Multi-Task Physiological Measurement
by Chaoyang Huo, Pengbo Yin and Bo Fu
Sensors 2025, 25(1), 100; https://doi.org/10.3390/s25010100 - 27 Dec 2024
Viewed by 180
Abstract
Due to its non-contact characteristics, remote photoplethysmography (rPPG) has attracted widespread attention in recent years, and has been widely applied for remote physiological measurements. However, most of the existing rPPG models are unable to estimate multiple physiological signals simultaneously, and the performance of [...] Read more.
Due to its non-contact characteristics, remote photoplethysmography (rPPG) has attracted widespread attention in recent years, and has been widely applied for remote physiological measurements. However, most of the existing rPPG models are unable to estimate multiple physiological signals simultaneously, and the performance of the limited available multi-task models is also restricted due to their single-model architectures. To address the above problems, this study proposes MultiPhys, adopting a heterogeneous network fusion approach for its development. Specifically, a Convolutional Neural Network (CNN) is used to quickly extract local features in the early stage, a transformer captures global context and long-distance dependencies, and Mamba is used to compensate for the transformer’s deficiencies, reducing the computational complexity and improving the accuracy of the model. Additionally, a gate is utilized for feature selection, which classifies the features of different physiological indicators. Finally, physiological indicators are estimated after passing features to each task-related head. Experiments on three datasets show that MultiPhys has superior performance in handling multiple tasks. The results of cross-dataset and hyper-parameter sensitivity tests also verify its generalization ability and robustness, respectively. MultiPhys can be considered as an effective solution for remote physiological estimation, thus promoting the development of this field. Full article
(This article belongs to the Section Intelligent Sensors)
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<p>The overall architecture of proposed MultiPhys. The different red squares of Task-shared Representation represent different feature values after feature selection.</p>
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<p>The architecture of gate.</p>
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<p>Comparison between the predicted BVP signal and the ground-truth BVP signal given two STMaps with 600 frames from PURE. The <span style="color: #0000FF">BLUE</span> line indicates the ground-truth signal, the <span style="color: #FF0000">RED</span> line is the signal by PhysMLE-R, and the <span style="color: #000000">ORANGE</span> line is given by MultiPhys.</p>
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<p>Impact of layers test based on <b>PURE</b> dataset.</p>
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<p>Impact of layers test based on <b>VIPL-HR</b> dataset.</p>
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<p>Impact of layers test based on <b>V4V</b> dataset.</p>
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18 pages, 6912 KiB  
Article
Time-Series Forecasting of PM2.5 and PM10 Concentrations Based on the Integration of Surveillance Images
by Yong Wu, Xiaochu Wang, Meizhen Wang, Xuejun Liu and Sifeng Zhu
Sensors 2025, 25(1), 95; https://doi.org/10.3390/s25010095 - 27 Dec 2024
Viewed by 254
Abstract
Accurate and timely air quality forecasting is crucial for mitigating pollution-related hazards and protecting public health. Recently, there has been a growing interest in integrating visual data for air quality prediction. However, some limitations remain in existing literature, such as their focus on [...] Read more.
Accurate and timely air quality forecasting is crucial for mitigating pollution-related hazards and protecting public health. Recently, there has been a growing interest in integrating visual data for air quality prediction. However, some limitations remain in existing literature, such as their focus on coarse-grained classification, single-moment estimation, or reliance on indirect and unintuitive information from visual images. Here we present a dual-channel deep learning model, integrating surveillance images and multi-source numerical data for air quality forecasting. Our model, which combines a single-channel hybrid network consisting of VGG16 and LSTM (named VGG16-LSTM) with a single-channel Long Short-Term Memory (LSTM) network, efficiently captures detailed spatiotemporal features from surveillance image sequences and temporal features from atmospheric, meteorological, and temporal data, enabling accurate time-series forecasting of PM2.5 and PM10 concentrations. Experiments conducted on the 2021 Shanghai dataset demonstrate that the proposed model significantly outperforms traditional machine learning methods in terms of accuracy and robustness for time-series forecasting, achieving R2 values of 0.9459 and 0.9045 and RMSE values of 4.79 μg/m3 and 11.51 μg/m3 for PM2.5 and PM10, respectively. Furthermore, validation results on the datasets from two stations in Kaohsiung, Taiwan, with average R2 values of 0.9728 and 0.9365 and average RMSE values of 1.89 μg/m3 and 5.69 μg/m3 for PM2.5 and PM10 using a pretrain–finetune training strategy, confirm the model’s adaptability across diverse geographical contexts. These findings highlight the potential of integrating surveillance images to enhance air quality prediction, offering an effective supplement to ground-level environmental monitoring. Future work will focus on expanding datasets and optimizing network architectures to further improve forecasting accuracy and computational efficiency, enhancing the model’s scalability for broader regional air quality management. Full article
(This article belongs to the Section Environmental Sensing)
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<p>Data acquisition location maps. (<b>a</b>) Shanghai dataset: the distance between the surveillance camera location and the air quality monitoring station is 3.51 km, and (<b>b</b>) Kaohsiung dataset: each surveillance camera location and the corresponding air quality monitoring station are co-located at the same site, where the cyan grid represents meteorological data units.</p>
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<p>The network architecture of dual-channel integrated model. (<b>a</b>) Data fusion module: Combines multi-source homogeneous numerical data into a unified format for processing; (<b>b</b>) LSTM single-channel network module: Extracts temporal features from atmospheric, meteorological, and temporal data; (<b>c</b>) VGG16-LSTM single-channel network module: Extracts spatiotemporal features from surveillance image sequences; and (<b>d</b>) Feature fusion and forecasting module: Merges features and outputs time-series predictions of PM<sub>2.5</sub> and PM<sub>10</sub> concentrations.</p>
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<p>Scatter density plots of forecast results of two atmospheric particulate matters. (<b>a</b>) PM<sub>2.5</sub> and (<b>b</b>) PM<sub>10</sub>. Black dashed lines denote 1:1 lines, and red solid lines denote best-fit lines from the linear regression. Note: A single ground truth value (<span class="html-italic">x</span>-axis) may correspond to multiple predicted values (<span class="html-italic">y</span>-axis) in the scatter plot because each ground truth value can appear at different forecasted time points in different sample sequences when using the sliding window approach for sample generation.</p>
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<p>Comparison of prediction results on two atmospheric particulate matters with different combinations of forecast factors. (<b>a</b>) PM<sub>2.5</sub> and (<b>b</b>) PM<sub>10</sub>.</p>
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<p>Comparison of forecast accuracy on two atmospheric particulate matters over different forecast time lags. (<b>a</b>) PM<sub>2.5</sub> and (<b>b</b>) PM<sub>10</sub>.</p>
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<p>Comparison of prediction results on two atmospheric particulate matters across different forecast durations. (<b>a</b>) PM<sub>2.5</sub> and (<b>b</b>) PM<sub>10</sub>.</p>
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<p>Scatter density plots of forecast results of two atmospheric particulate matter with different data processing approaches for missing values. (<b>a</b>) PM<sub>2.5</sub> forecasts with data interpolation, (<b>b</b>) PM<sub>10</sub> forecasts with data interpolation, (<b>c</b>) PM<sub>2.5</sub> forecasts with data deletion, and (<b>d</b>) PM<sub>10</sub> forecasts with data deletion. Black dashed lines denote 1:1 lines, and red solid lines denote best-fit lines from the linear regression.</p>
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29 pages, 1433 KiB  
Article
Sparse Convolution FPGA Accelerator Based on Multi-Bank Hash Selection
by Jia Xu, Han Pu and Dong Wang
Micromachines 2025, 16(1), 22; https://doi.org/10.3390/mi16010022 - 27 Dec 2024
Viewed by 217
Abstract
Reconfigurable processor-based acceleration of deep convolutional neural network (DCNN) algorithms has emerged as a widely adopted technique, with particular attention on sparse neural network acceleration as an active research area. However, many computing devices that claim high computational power still struggle to execute [...] Read more.
Reconfigurable processor-based acceleration of deep convolutional neural network (DCNN) algorithms has emerged as a widely adopted technique, with particular attention on sparse neural network acceleration as an active research area. However, many computing devices that claim high computational power still struggle to execute neural network algorithms with optimal efficiency, low latency, and minimal power consumption. Consequently, there remains significant potential for further exploration into improving the efficiency, latency, and power consumption of neural network accelerators across diverse computational scenarios. This paper investigates three key techniques for hardware acceleration of sparse neural networks. The main contributions are as follows: (1) Most neural network inference tasks are typically executed on general-purpose computing devices, which often fail to deliver high energy efficiency and are not well-suited for accelerating sparse convolutional models. In this work, we propose a specialized computational circuit for the convolutional operations of sparse neural networks. This circuit is designed to detect and eliminate the computational effort associated with zero values in the sparse convolutional kernels, thereby enhancing energy efficiency. (2) The data access patterns in convolutional neural networks introduce significant pressure on the high-latency off-chip memory access process. Due to issues such as data discontinuity, the data reading unit often fails to fully exploit the available bandwidth during off-chip read and write operations. In this paper, we analyze bandwidth utilization in the context of convolutional accelerator data handling and propose a strategy to improve off-chip access efficiency. Specifically, we leverage a compiler optimization plugin developed for Vitis HLS, which automatically identifies and optimizes on-chip bandwidth utilization. (3) In coefficient-based accelerators, the synchronous operation of individual computational units can significantly hinder efficiency. Previous approaches have achieved asynchronous convolution by designing separate memory units for each computational unit; however, this method consumes a substantial amount of on-chip memory resources. To address this issue, we propose a shared feature map cache design for asynchronous convolution in the accelerators presented in this paper. This design resolves address access conflicts when multiple computational units concurrently access a set of caches by utilizing a hash-based address indexing algorithm. Moreover, the shared cache architecture reduces data redundancy and conserves on-chip resources. Using the optimized accelerator, we successfully executed ResNet50 inference on an Intel Arria 10 1150GX FPGA, achieving a throughput of 497 GOPS, or an equivalent computational power of 1579 GOPS, with a power consumption of only 22 watts. Full article
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<p>TPU architecture diagram, subfigure (<b>a</b>) illustrates the overall TPU architecture design. (<b>b</b>) illustrates the structure of the compute unit in each PE. [<a href="#B21-micromachines-16-00022" class="html-bibr">21</a>].</p>
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<p>Illustration of how sparse convolution is conducted.</p>
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<p>The overall architecture of proposed accelerator.</p>
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<p>Channel non-zero number(workload) in VGG16.</p>
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<p>Channel work balance over PE.</p>
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<p>Bank execute order intra PE.</p>
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<p>Prefetch window parallelism scheme.</p>
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<p>Intra channel array partitioning scheme.</p>
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<p>Synchronization scheme of parallel convolution tasks.</p>
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<p>Serialization of partial sum based on streaming.</p>
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<p>Sliding-window based fetching approach of Feature Map data.</p>
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<p>Multiple bank R/W design.</p>
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<p>Overall architecture of hash shared memory execution diagram.</p>
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<p>Data structure of stored weight file.</p>
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<p>Weight encoding scheme.</p>
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<p>Data format of quantization table.</p>
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<p>DSE of the shared memory bank selection.</p>
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<p>DSE of the design parameters. (<b>a</b>) shows the DSPs usage over <math display="inline"><semantics> <msub> <mi>N</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </semantics></math> after floorplanning. And the roofline limited by device is marked as dotted line. (<b>b</b>) shows the wall time of network reference over <math display="inline"><semantics> <msub> <mi>N</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </semantics></math>. The optimum design is marked in a red star. (<b>c</b>) shows the ALUTs usage with the increase of the parallel. and (<b>d</b>) shows the on-chip RAMs usage over <math display="inline"><semantics> <msub> <mi>N</mi> <mrow> <mi>i</mi> <mi>n</mi> </mrow> </msub> </semantics></math>, and the optimum design is found by the elimination of device resource, marked in red star.</p>
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<p>Efficiency of different kernel and Feature Map size.</p>
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<p>Comparision of the measured time, theoretic time, and efficiency.</p>
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<p>Roofline Model data point.</p>
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22 pages, 12068 KiB  
Article
Architectural Lighting Simulations as a Method to Evaluate Emotions on Cultural Heritage Building Facades
by Thanos Balafoutis
Architecture 2025, 5(1), 3; https://doi.org/10.3390/architecture5010003 - 27 Dec 2024
Viewed by 197
Abstract
This research concerns the exterior lighting of historic buildings and cultural heritage monuments. Its objective is to organize a methodology for the study of facades, to record the individual or grouped morphological and decorative elements of the facades, and to organize the steps [...] Read more.
This research concerns the exterior lighting of historic buildings and cultural heritage monuments. Its objective is to organize a methodology for the study of facades, to record the individual or grouped morphological and decorative elements of the facades, and to organize the steps to achieve a presentation of different ways of lighting these elements. This presentation is made by an experimental digital lighting simulation, leading the researcher to discover the relationship between light and the architectural element being illuminated. Finally, the results of the simulations are evaluated by experts in the field of lighting, who attest to the emotions generated by the observation of the different lighting scenarios, while an attempt is then made to synthesize these results on an entire building facade, to determine whether this synthesis of the individual lighting effects is practicable. The analysis of the results reveals the trends in each lighting scenario, leading to a variety of emotions, whether they arise from a specific morphological element or from the entire facade. Full article
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<p>Outdoor lighting techniques. (<b>a</b>) Wall washing, (<b>b</b>) grazing, (<b>c</b>) floodlighting, (<b>d</b>) down lighting, (<b>e</b>) up lighting, (<b>f</b>) accent lighting, (<b>g</b>) mirroring, (<b>h</b>) silhouetting, and (<b>i</b>) spotlighting (Balafoutis, 2015).</p>
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<p>Basic categories of lighting heritage building facades. (<b>a</b>) Volume, (<b>b</b>) layers, (<b>c</b>) verticality, (<b>d</b>) horizontality, (<b>e</b>) openings, and (<b>f</b>) individual elements (Balafoutis, 2017).</p>
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<p>The methodology process.</p>
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<p>Simulations with different material reflectivity and color temperature of light (Balafoutis, 2017).</p>
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<p>The principles of the (<b>a</b>) classification of elements in rhythmic orders, (<b>b</b>) the subordination, and (<b>c</b>) the triadic unity (Balafoutis, 2020).</p>
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<p>Morphological and decorative elements. (<b>a</b>) Doric order column, (<b>b</b>) Ionic order column, (<b>c</b>) Corinthian order column, (<b>d</b>) balustraded balcony, (<b>e</b>) console, (<b>f</b>) modillions, (<b>g</b>) decorative medallion, (<b>h</b>) garland, and (<b>i</b>) dome with cupola (or lantern) (Balafoutis, 2020).</p>
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<p>Simulation results of singular or grouped morphological elements. (<b>a</b>) Spot Angle 8°, (<b>b</b>) Narrow Spot 12°, (<b>c</b>) Light Blade Spot—Laser, (<b>d</b>) Light Blade Spot—Laser, (<b>e</b>) Flood Spot 34°, and (<b>f</b>) Narrow Spot 12° (Balafoutis, 2017).</p>
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<p>Simulation result of an entire facade (Balafoutis, 2021).</p>
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<p>Results of singular or grouped morphological elements. (<b>a</b>) Light Blade Spot—Laser, (<b>b</b>) Narrow Spot 12°, and (<b>c</b>) Narrow Spot 10° (Balafoutis, 2017).</p>
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<p>Results of singular or grouped morphological elements. (<b>a</b>) Flood Spot 34°, (<b>b</b>) Spot Angle 8°, and (<b>c</b>) Flood Spot 38° (Balafoutis, 2017).</p>
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<p>Results of singular or grouped morphological elements. (<b>a</b>) Narrow Spot 10°, (<b>b</b>) Narrow Spot 12°, and (<b>c</b>) Narrow Spot 12° (Balafoutis, 2017).</p>
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<p>Results of singular or grouped morphological elements. (<b>a</b>) Spot 24°, (<b>b</b>) Spot Angle 8°, and (<b>c</b>) Narrow Spot 12° (Balafoutis, 2017).</p>
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<p>Coding of data whose results are combined. (A) window with balustraded balconette, (B) ionic column, (C) door with pointed pediment, and (D) window with shouldered surround (Balafoutis, 2020).</p>
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<p>Building base with linear luminaires (Flood Angle—32°) (Balafoutis, 2017).</p>
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<p>Simulation of the entire facade and synthesis of lighting scenarios with the most positive evaluations of the emotion of awe (Balafoutis, 2021).</p>
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<p>Simulation of the entire facade and synthesis of lighting scenarios with the most positive evaluations of the emotion of boredom (Balafoutis, 2021).</p>
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<p>Simulation of the entire facade and synthesis of lighting scenarios with the most positive evaluations of the emotion of tension (Balafoutis, 2021).</p>
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<p>Simulation of the entire facade and synthesis of lighting scenarios with the most positive evaluations of the emotion of tranquility (Balafoutis, 2021).</p>
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14 pages, 4971 KiB  
Article
Embedded Rough-Neck Helmholtz Resonator Low-Frequency Acoustic Attenuator
by Xianming Sun, Tao Yu, Lipeng Wang, Yunshu Lu and Changzheng Chen
Crystals 2025, 15(1), 12; https://doi.org/10.3390/cryst15010012 - 26 Dec 2024
Viewed by 173
Abstract
In various practical noise control scenarios, such as duct noise mitigation, industrial machinery, architectural acoustics, and underwater applications, it is essential to develop noise absorbers that deliver effective low-frequency attenuation while maintaining compact dimensions. To achieve low-frequency absorption within a limited spatial volume, [...] Read more.
In various practical noise control scenarios, such as duct noise mitigation, industrial machinery, architectural acoustics, and underwater applications, it is essential to develop noise absorbers that deliver effective low-frequency attenuation while maintaining compact dimensions. To achieve low-frequency absorption within a limited spatial volume, this study proposes an embedded Helmholtz resonator featuring a roughened neck and establishes a numerical computational model that incorporates thermos viscous effects. A quantitative investigation is conducted on three types of embedded rough-neck geometries (rectangular-grooved, triangular-grooved, and undulated) to elucidate their acoustic performance, with particular attention to differences in acoustic transmission loss and acoustic impedance characteristics. In response to the practical demand for even lower-frequency attenuation, this work further focuses on optimizing the structural parameters of an embedded rectangular-grooved Helmholtz resonator (ERHR). A back-propagation (BP) neural network models and predicts how structural parameters impact the acoustic transmission coefficient, elucidating the effects of geometric variations. Moreover, by coupling the BP network with the Golden Jackal Optimization (GJO) algorithm, a BP-GJO optimization model is developed to refine the structural parameters. The findings reveal that the proposed method significantly improves resonator spatial utilization at a specific noise frequency while preserving acoustic transmission loss performance. This work thereby provides a promising strategy for designing low-frequency, compact Helmholtz resonators suitable for a wide range of noise control applications. Full article
(This article belongs to the Special Issue Metamaterials and Their Devices, Second Edition)
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<p>Embedded rough-neck Helmholtz resonator model (<b>a</b>) 3D model; (<b>b</b>) Rectangular-groove neck; (<b>c</b>) Triangular-groove neck; and (<b>d</b>) wavy neck.</p>
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<p>(<b>a</b>) Finite element model; (<b>b</b>) Finite element mesh division.</p>
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<p>Components of the test system and samples of the embedded rough-neck Helmholtz resonators. (<b>a</b>) Schematic of the experimental system layout; (<b>b</b>) Experimental apparatus; and (<b>c</b>) resonator samples.</p>
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<p>(<b>a</b>) Sound transmission loss; (<b>b</b>) Transmission coefficient. (case 1 indicates rectangular-grooved; case 2 indicates triangular-grooved; and case 3 indicates undulated).</p>
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<p>Resonator inlet impedance (<b>a</b>) Rectangular-grooved; (<b>b</b>) Triangular-grooved; (<b>c</b>) Undulated; and structural sound pressure level distribution; (<b>d</b>) Rectangular-grooved; (<b>e</b>) Triangular-grooved; (<b>f</b>) Undulated.</p>
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<p>BP network prediction performance. (<b>a</b>) Regression results; (<b>b</b>) Error distribution analysis.</p>
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<p>Mean Square Error diagram.</p>
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<p>Variation of transmission coefficient with structural parameters. (<b>a</b>) Neck length <span class="html-italic">l</span>; (<b>b</b>) Cavity height <span class="html-italic">H</span>; (<b>c</b>) Number of rectangular grooves <span class="html-italic">T</span>; (<b>d</b>) Effective radius of cavity <span class="html-italic">R<sub>B</sub></span>.</p>
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<p>Optimization algorithm framework.</p>
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<p>Optimized sound transmission loss of ERHRs.</p>
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17 pages, 14016 KiB  
Article
Estimation of the High-Frequency Feature Slope in Gravitational Wave Signals from Core Collapse Supernovae Using Machine Learning
by Alejandro Casallas-Lagos, Javier M. Antelis, Claudia Moreno and Ramiro Franco-Hernández
Appl. Sci. 2025, 15(1), 65; https://doi.org/10.3390/app15010065 - 25 Dec 2024
Viewed by 66
Abstract
We conducted an in-depth exploration of the use of different machine learning (ML) for regression algorithms, including Linear, Ridge, LASSO, Bayesian Ridge, Decision Tree, and a variety of Deep Neural Network (DNN) architectures, to estimate the slope of the high-frequency feature (HFF), a [...] Read more.
We conducted an in-depth exploration of the use of different machine learning (ML) for regression algorithms, including Linear, Ridge, LASSO, Bayesian Ridge, Decision Tree, and a variety of Deep Neural Network (DNN) architectures, to estimate the slope of the high-frequency feature (HFF), a prominent emergent feature found in the gravitational wave (GW) signals of core collapse supernovae (CCSN). We created a data set of CCSN GW signals generated by an analytical model that mimics the characteristics of the signals obtained from numerical simulations, particularly the HFF. This enabled us to simulate a wide range of HFF slope values and analyze their properties. We opted to employ ML for regression techniques, particularly a supervised learning approach, to analyze the data set due to the parameter chosen for estimating the slope of the HFF. This type of architecture is ideal for this purpose as it can detect the connections between input and output data. In addition, it is suitable for handling high-dimensional input data and produces efficient results with low computational cost. We evaluated the efficiency and performance of the ML algorithms using a set of metrics to measure their ability to accurately predict the HFF slope within the data set. The results showed that a DNN algorithm for regression exhibits the highest accuracy in estimating the slope of the HFF. Full article
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<p>Illustration of the methodology implemented in this paper. We generated a data set using CCSN GW signals with known HFF slope. Each signal is injected into freely available LIGO noise from the third half scientific run (O3b). The time-frequency representation is then computed and converted into a 2D matrix. This data set is used to assess the performance of six different machine learning regression methods in the estimation of the HFF slope.</p>
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<p>Two examples of CCSN GW signals with different HFF slopes of 514 Hz/s and 2411 Hz/s. The left panel displays the strain signal, while the middle and right panels show the time-frequency representation and the processed 2D maps, respectively.</p>
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<p>Estimation results for the Linear, Lasso, Ridge, Bayesian Ridge and Decision Tree regression models. Left panel: distribution of estimated HFF slopes versus true HFF slopes. Middle panel: mean and standard deviation of the estimated HFF slope values for the different true HFF slope values. Right panel: distribution of residuals.</p>
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<p>Estimation results for the Deep Neural Network models M1 to M5. Left panel: distribution of estimated HFF slopes versus the true HFF slopes. Middle panel: mean and standard deviation of the estimated HFF slope values for the different true HFF slope values. Right panel: distribution of residuals.</p>
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<p>Distribution of performance metrics obtained with the Deep Neural Network regression models M1 to M5. The x-axis represents the model implemented based on the information in <a href="#applsci-15-00065-t001" class="html-table">Table 1</a>, while the y-axis shows the numerical results of each performance metric described in <a href="#sec3-applsci-15-00065" class="html-sec">Section 3</a>. The panel on the left displays the coefficient of determination (see Equation (<a href="#FD15-applsci-15-00065" class="html-disp-formula">15</a>)), the middle panel shows the root mean square (see Equation (<a href="#FD16-applsci-15-00065" class="html-disp-formula">16</a>)), and the panel on the right shows the MAPE (see Equation (<a href="#FD17-applsci-15-00065" class="html-disp-formula">17</a>)). These values determine the most suitable model for estimating the slope of the HFF, with model 3 highlighted in a green box, demonstrating superior performance compared to other models developed for this study.</p>
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