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Label-Setting Algorithm for Multi-Destination K Simple Shortest Paths Problem and Application 多目的地 K 简单最短路径问题的标签设置算法及其应用
Pub Date : 2024-07-25 DOI: 10.3390/a17080325
Sethu Vinayagam Udhayasekar, Karthik K. Srinivasan, Pramesh Kumar, B. R. Chilukuri
The k shortest paths problem finds applications in multiple fields. Of particular interest in the transportation field is the variant of finding k simple shortest paths (KSSP), which has a higher complexity. This research presents a novel label-setting algorithm for the multi-destination KSSP problem in directed networks that obviates repeated applications of the algorithm to each destination (necessary in existing deviation-based algorithms), resulting in a significant computational speedup. It is shown that the proposed algorithm is exact and flexible enough to handle several variants of the problem by appropriately modifying the termination condition. Theoretically, it is also shown to be faster than state-of-the-art algorithms in sparse and dense networks whenever the number of labels created is sub-polynomial in network size. A heuristic method and optimized data structures are proposed to improve the algorithm’s scalability and worst-case performance. The computational results show that the proposed heuristic provides two to three orders of magnitude computational time speedups (29–1416 times across different networks) with negligible loss in solution quality (maximum average deviation of 0.167% from the optimal solution). Finally, a practical application of the proposed method is illustrated to determine the gravity of an edge (relative structural importance) in a network.
k 最短路径问题在多个领域都有应用。在交通领域,寻找 k 个简单最短路径(KSSP)的变体问题尤其引人关注,因为它具有更高的复杂度。本研究针对有向网络中的多目的地 KSSP 问题提出了一种新的标签设置算法,该算法避免了对每个目的地重复应用算法(这在现有的基于偏差的算法中是必要的),从而显著提高了计算速度。研究表明,通过适当修改终止条件,所提出的算法既精确又灵活,足以处理问题的多种变体。从理论上讲,在稀疏和密集网络中,只要创建的标签数是网络规模的亚对数,该算法的速度就会比最先进的算法更快。研究还提出了一种启发式方法和优化数据结构,以提高算法的可扩展性和最坏情况下的性能。计算结果表明,所提出的启发式方法可将计算时间加快两到三个数量级(不同网络的计算速度为 29-1416 倍),而解决方案的质量损失却微乎其微(与最优解决方案的最大平均偏差为 0.167%)。最后,演示了所提方法的实际应用,以确定网络中边缘的重力(相对结构重要性)。
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引用次数: 0
Enhancing Indoor Positioning Accuracy with WLAN and WSN: A QPSO Hybrid Algorithm with Surface Tessellation 利用 WLAN 和 WSN 提高室内定位精度:采用曲面细分的 QPSO 混合算法
Pub Date : 2024-07-25 DOI: 10.3390/a17080326
Edgar Scavino, Mohd Amiruddin Abd Rahman, Zahid Farid, Sadique Ahmad, M. Asim
In large indoor environments, accurate positioning and tracking of people and autonomous equipment have become essential requirements. The application of increasingly automated moving transportation units in large indoor spaces demands a precise knowledge of their positions, for both efficiency and safety reasons. Moreover, satellite-based Global Positioning System (GPS) signals are likely to be unusable in deep indoor spaces, and technologies like WiFi and Bluetooth are susceptible to signal noise and fading effects. For these reasons, a hybrid approach that employs at least two different signal typologies proved to be more effective, resilient, robust, and accurate in determining localization in indoor environments. This paper proposes an improved hybrid technique that implements fingerprinting-based indoor positioning using Received Signal Strength (RSS) information from available Wireless Local Area Network (WLAN) access points and Wireless Sensor Network (WSN) technology. Six signals were recorded on a regular grid of anchor points covering the research surface. For optimization purposes, appropriate raw signal weighing was applied in accordance with previous research on the same data. The novel approach in this work consisted of performing a virtual tessellation of the considered indoor surface with a regular set of tiles encompassing the whole area. The optimization process was focused on varying the size of the tiles as well as their relative position concerning the signal acquisition grid, with the goal of minimizing the average distance error based on tile identification accuracy. The optimization process was conducted using a standard Quantum Particle Swarm Optimization (QPSO), while the position error estimate for each tile configuration was performed using a 3-layer Multilayer Perceptron (MLP) neural network. These experimental results showed a 16% reduction in the positioning error when a suitable tile configuration was calculated in the optimization process. Our final achieved value of 0.611 m of location incertitude shows a sensible improvement compared to our previous results.
在大型室内环境中,人员和自动设备的精确定位和跟踪已成为基本要求。在大型室内空间中应用越来越多的自动移动运输装置,出于效率和安全考虑,需要精确了解它们的位置。此外,基于卫星的全球定位系统(GPS)信号很可能无法在室内深处使用,而 WiFi 和蓝牙等技术则容易受到信号噪声和衰减效应的影响。由于这些原因,事实证明,至少采用两种不同信号类型的混合方法在确定室内环境定位方面更加有效、灵活、稳健和准确。本文提出了一种改进的混合技术,利用无线局域网(WLAN)接入点和无线传感器网络(WSN)技术提供的接收信号强度(RSS)信息,实现基于指纹的室内定位。在覆盖研究表面的锚点规则网格上记录了六个信号。为达到优化目的,根据以往对相同数据的研究,对原始信号进行了适当的称重。这项工作中的新方法包括对所考虑的室内表面进行虚拟细分,用一组规则的瓷砖覆盖整个区域。优化过程的重点是改变瓦片的大小以及它们在信号采集网格中的相对位置,目标是根据瓦片识别精度最大限度地减少平均距离误差。优化过程采用标准的量子粒子群优化(QPSO),而每个瓦片配置的位置误差估计则采用 3 层多层感知器(MLP)神经网络。这些实验结果表明,在优化过程中计算出合适的瓷砖配置后,定位误差减少了 16%。与之前的结果相比,我们最终实现的 0.611 米定位误差值有了明显改善。
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引用次数: 0
Trajectory Classification and Recognition of Planar Mechanisms Based on ResNet18 Network 基于 ResNet18 网络的平面机构轨迹分类与识别
Pub Date : 2024-07-25 DOI: 10.3390/a17080324
Jianping Wang, Youchao Wang, Boyan Chen, Xiaoyue Jia, Dexi Pu
This study utilizes the ResNet18 network to classify and recognize trajectories of planar mechanisms. This research begins by deriving formulas for trajectory points in various typical planar mechanisms, and the resulting trajectory images are employed as samples for training and testing the network. The classification of trajectory images for both upright and inverted configurations of a planar four-bar linkage is investigated. Compared with AlexNet and VGG16, the ResNet18 model demonstrates superior classification accuracy during testing, coupled with reduced training time and memory consumption. Furthermore, the ResNet18 model is applied to classify trajectory images for six different planar mechanisms in both upright and inverted configurations as well as to identify whether the trajectory images belong to the upright or inverted configuration for each mechanism. The test results affirm the feasibility and effectiveness of the ResNet18 network in the classification and recognition of planar mechanism trajectories.
本研究利用 ResNet18 网络对平面机构的轨迹进行分类和识别。本研究首先推导出各种典型平面机构的轨迹点公式,然后将得到的轨迹图像作为训练和测试网络的样本。研究了平面四杆连杆机构直立和倒置配置的轨迹图像分类。与 AlexNet 和 VGG16 相比,ResNet18 模型在测试过程中表现出更高的分类准确性,同时减少了训练时间和内存消耗。此外,ResNet18 模型还被应用于对六种不同平面机构的直立和倒置构型的轨迹图像进行分类,以及识别每种机构的轨迹图像属于直立构型还是倒置构型。测试结果证实了 ResNet18 网络在平面机构轨迹分类和识别方面的可行性和有效性。
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引用次数: 0
A Quantum Approach for Exploring the Numerical Results of the Heat Equation 探索热方程数值结果的量子方法
Pub Date : 2024-07-25 DOI: 10.3390/a17080327
B. Daribayev, Aksultan Mukhanbet, Nurtugan Azatbekuly, Timur Imankulov
This paper presents a quantum algorithm for solving the one-dimensional heat equation with Dirichlet boundary conditions. The algorithm utilizes discretization techniques and employs quantum gates to emulate the heat propagation operator. Central to the algorithm is the Trotter–Suzuki decomposition, enabling the simulation of the time evolution of the temperature distribution. The initial temperature distribution is encoded into quantum states, and the evolution of these states is driven by quantum gates tailored to mimic the heat propagation process. As per the literature, quantum algorithms exhibit an exponential computational speedup with increasing qubit counts, albeit facing challenges such as exponential growth in relative error and cost functions. This study addresses these challenges by assessing the potential impact of quantum simulations on heat conduction modeling. Simulation outcomes across various quantum devices, including simulators and real quantum computers, demonstrate a decrease in the relative error with an increasing number of qubits. Notably, simulators like the simulator_statevector exhibit lower relative errors compared to the ibmq_qasm_simulator and ibm_osaka. The proposed approach underscores the broader applicability of quantum computing in physical systems modeling, particularly in advancing heat conductivity analysis methods. Through its innovative approach, this study contributes to enhancing modeling accuracy and efficiency in heat conduction simulations across diverse domains.
本文提出了一种量子算法,用于求解具有 Dirichlet 边界条件的一维热方程。该算法利用离散化技术和量子门来模拟热传播算子。该算法的核心是 Trotter-Suzuki 分解,从而能够模拟温度分布的时间演化。初始温度分布被编码为量子态,这些状态的演变由量子门驱动,量子门是为模拟热传播过程而定制的。根据文献记载,量子算法的计算速度随着量子比特数的增加呈指数级增长,但也面临着相对误差和成本函数呈指数级增长等挑战。本研究通过评估量子模拟对热传导建模的潜在影响来应对这些挑战。各种量子设备(包括模拟器和真实量子计算机)的模拟结果表明,随着量子比特数量的增加,相对误差也在减少。值得注意的是,与 ibmq_qasm_simulator 和 ibm_osaka 相比,simulator_statevector 等模拟器表现出更低的相对误差。所提出的方法强调了量子计算在物理系统建模中的广泛适用性,特别是在推进热传导分析方法方面。通过创新方法,本研究有助于提高不同领域热传导模拟的建模精度和效率。
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引用次数: 0
Computational Test for Conditional Independence 条件独立性计算测试
Pub Date : 2024-07-24 DOI: 10.3390/a17080323
Christian B. H. Thorjussen, K. H. Liland, Ingrid Måge, Lars Erik Solberg
Conditional Independence (CI) testing is fundamental in statistical analysis. For example, CI testing helps validate causal graphs or longitudinal data analysis with repeated measures in causal inference. CI testing is difficult, especially when testing involves categorical variables conditioned on a mixture of continuous and categorical variables. Current parametric and non-parametric testing methods are designed for continuous variables and can quickly fall short in the categorical case. This paper presents a computational approach for CI testing suited for categorical data types, which we call computational conditional independence (CCI) testing. The test procedure is based on permutation and combines machine learning prediction algorithms and Monte Carlo cross-validation. We evaluated the approach through simulation studies and assessed the performance against alternative methods: the generalized covariance measure test, the kernel conditional independence test, and testing with multinomial regression. We find that the computational approach to testing has utility over the alternative methods, achieving better control over type I error rates. We hope this work can expand the toolkit for CI testing for practitioners and researchers.
条件独立性(CI)测试是统计分析的基础。例如,CI 检验有助于验证因果图或因果推断中使用重复测量的纵向数据分析。CI 检验很困难,尤其是当检验涉及以连续变量和分类变量混合为条件的分类变量时。目前的参数和非参数测试方法是为连续变量设计的,在分类情况下很快就会失效。本文提出了一种适用于分类数据类型的 CI 检验计算方法,我们称之为计算条件独立性(CCI)检验。该测试程序基于置换,并结合了机器学习预测算法和蒙特卡罗交叉验证。我们通过模拟研究对该方法进行了评估,并对照其他方法评估了其性能:广义协方差测量检验、核条件独立性检验以及多项式回归检验。我们发现,计算检验方法比其他方法更有用,能更好地控制 I 类错误率。我们希望这项工作能为从业人员和研究人员扩展 CI 检验工具包。
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引用次数: 0
Energy Consumption Outlier Detection with AI Models in Modern Cities: A Case Study from North-Eastern Mexico 利用人工智能模型检测现代城市的能源消耗异常点:墨西哥东北部案例研究
Pub Date : 2024-07-24 DOI: 10.3390/a17080322
José-Alberto Solís-Villarreal, Valeria Soto-Mendoza, J. A. Navarro-Acosta, Efraín Ruiz-y-Ruiz
The development of smart cities will require the construction of smart buildings. Smart buildings will demand the incorporation of elements for efficient monitoring and control of electrical consumption. The development of efficient AI algorithms is needed to generate more accurate electricity consumption predictions; therefore; anomaly detection in electricity consumption predictions has become an important research topic. This work focuses on the study of the detection of anomalies in domestic electrical consumption in Mexico. A predictive machine learning model of future electricity consumption was generated to evaluate various anomaly-detection techniques. Their effectiveness in identifying outliers was determined, and their performance was documented. A 30-day forecast of electrical consumption and an anomaly-detection model have been developed using isolation forest. Isolation forest successfully captured up to 75% of the anomalies. Finally, the Shapley values have been used to generate an explanation of the results of a model capable of detecting anomalous data for the Mexican context.
智能城市的发展需要建设智能楼宇。智能建筑将需要纳入有效监测和控制电力消耗的元素。需要开发高效的人工智能算法来生成更准确的用电预测;因此,用电预测中的异常检测已成为一个重要的研究课题。这项工作的重点是研究墨西哥家庭用电的异常检测。我们生成了一个未来用电量预测机器学习模型,以评估各种异常检测技术。确定了这些技术在识别异常值方面的有效性,并对其性能进行了记录。使用隔离林开发了 30 天用电量预测和异常检测模型。隔离林成功捕获了高达 75% 的异常值。最后,利用 Shapley 值对能够检测墨西哥异常数据的模型的结果进行了解释。
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引用次数: 0
Multi-Head Self-Attention-Based Fully Convolutional Network for RUL Prediction of Turbofan Engines 用于涡扇发动机 RUL 预测的基于多机头自注意力的全卷积网络
Pub Date : 2024-07-23 DOI: 10.3390/a17080321
Zhaofeng Liu, Xiaoqing Zheng, Anke Xue, Ming Ge, Aipeng Jiang
Remaining useful life (RUL) prediction is widely applied in prognostic and health management (PHM) of turbofan engines. Although some of the existing deep learning-based models for RUL prediction of turbofan engines have achieved satisfactory results, there are still some challenges. For example, the spatial features and importance differences hidden in the raw monitoring data are not sufficiently addressed or highlighted. In this paper, a novel multi-head self-Attention fully convolutional network (MSA-FCN) is proposed for predicting the RUL of turbofan engines. MSA-FCN combines a fully convolutional network and multi-head structure, focusing on the degradation correlation among various components of the engine and extracting spatially characteristic degradation representations. Furthermore, by introducing dual multi-head self-attention modules, MSA-FCN can capture the differential contributions of sensor data and extracted degradation representations to RUL prediction, emphasizing key data and representations. The experimental results on the C-MAPSS dataset demonstrate that, under various operating conditions and failure modes, MSA-FCN can effectively predict the RUL of turbofan engines. Compared with 11 mainstream deep neural networks, MSA-FCN achieves competitive advantages in terms of both accuracy and timeliness for RUL prediction, delivering more accurate and reliable forecasts.
剩余使用寿命(RUL)预测被广泛应用于涡扇发动机的预报和健康管理(PHM)中。尽管现有的一些基于深度学习的涡扇发动机剩余使用寿命预测模型取得了令人满意的结果,但仍存在一些挑战。例如,隐藏在原始监测数据中的空间特征和重要性差异没有得到充分解决或强调。本文提出了一种用于预测涡扇发动机 RUL 的新型多机头自注意力全卷积网络(MSA-FCN)。MSA-FCN 结合了全卷积网络和多头结构,重点关注发动机各部件之间的退化相关性,并提取空间特征退化表征。此外,通过引入双多头自关注模块,MSA-FCN 可以捕捉传感器数据和提取的退化表征对 RUL 预测的不同贡献,突出关键数据和表征。在 C-MAPSS 数据集上的实验结果表明,在不同的工作条件和故障模式下,MSA-FCN 可以有效地预测涡扇发动机的 RUL。与 11 种主流深度神经网络相比,MSA-FCN 在 RUL 预测的准确性和及时性方面都具有竞争优势,能提供更准确、更可靠的预测。
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引用次数: 0
Comparison of Reinforcement Learning Algorithms for Edge Computing Applications Deployed by Serverless Technologies 无服务器技术部署的边缘计算应用的强化学习算法比较
Pub Date : 2024-07-23 DOI: 10.3390/a17080320
M. Femminella, G. Reali
Edge computing is one of the technological areas currently considered among the most promising for the implementation of many types of applications. In particular, IoT-type applications can benefit from reduced latency and better data protection. However, the price typically to be paid in order to benefit from the offered opportunities includes the need to use a reduced amount of resources compared to the traditional cloud environment. Indeed, it may happen that only one computing node can be used. In these situations, it is essential to introduce computing and memory resource management techniques that allow resources to be optimized while still guaranteeing acceptable performance, in terms of latency and probability of rejection. For this reason, the use of serverless technologies, managed by reinforcement learning algorithms, is an active area of research. In this paper, we explore and compare the performance of some machine learning algorithms for managing horizontal function autoscaling in a serverless edge computing system. In particular, we make use of open serverless technologies, deployed in a Kubernetes cluster, to experimentally fine-tune the performance of the algorithms. The results obtained allow both the understanding of some basic mechanisms typical of edge computing systems and related technologies that determine system performance and the guiding of configuration choices for systems in operation.
边缘计算是目前被认为最有希望实现多种应用的技术领域之一。特别是,物联网类型的应用可以从减少延迟和更好的数据保护中获益。然而,要从所提供的机会中获益,通常需要付出的代价包括需要使用比传统云环境更少的资源。事实上,有可能只能使用一个计算节点。在这种情况下,必须引入计算和内存资源管理技术,以便在保证可接受的性能(延迟和拒绝概率)的同时优化资源。因此,使用由强化学习算法管理的无服务器技术是一个活跃的研究领域。在本文中,我们探索并比较了一些机器学习算法在无服务器边缘计算系统中管理水平功能自动伸缩的性能。特别是,我们利用部署在 Kubernetes 集群中的开放式无服务器技术,对算法的性能进行了实验性微调。所获得的结果既有助于了解边缘计算系统的一些典型基本机制以及决定系统性能的相关技术,也有助于指导系统在运行中的配置选择。
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引用次数: 0
Adaptive Sliding-Mode Controller for a Zeta Converter to Provide High-Frequency Transients in Battery Applications 电池应用中提供高频瞬态的泽塔转换器自适应滑动模式控制器
Pub Date : 2024-07-21 DOI: 10.3390/a17070319
Andrés Tobón, Carlos Andrés Ramos-Paja, M. L. Orozco-Gutíerrez, Andrés Julián Saavedra-Montes, S. I. Serna-Garcés
Hybrid energy storage systems significantly impact the renewable energy sector due to their role in enhancing grid stability and managing its variability. However, implementing these systems requires advanced control strategies to ensure correct operation. This paper presents an algorithm for designing the power and control stages of a hybrid energy storage system formed by a battery, a supercapacitor, and a bidirectional Zeta converter. The control stage involves an adaptive sliding-mode controller co-designed with the power circuit parameters. The design algorithm ensures battery protection against high-frequency transients that reduce lifespan, and provides compatibility with low-cost microcontrollers. Moreover, the continuous output current of the Zeta converter does not introduce current harmonics to the battery, the microgrid, or the load. The proposed solution is validated through an application example using PSIM electrical simulation software (version 2024.0), demonstrating superior performance in comparison with a classical cascade PI structure.
混合储能系统在增强电网稳定性和管理电网变异性方面发挥着重要作用,对可再生能源领域产生了重大影响。然而,实施这些系统需要先进的控制策略,以确保正确运行。本文提出了一种算法,用于设计由电池、超级电容器和双向泽塔转换器组成的混合储能系统的功率和控制阶段。控制阶段包括一个与功率电路参数共同设计的自适应滑动模式控制器。该设计算法可确保电池免受高频瞬变的影响,从而缩短电池的使用寿命,并与低成本微控制器兼容。此外,Zeta 转换器的连续输出电流不会给电池、微电网或负载带来谐波电流。通过使用 PSIM 电气仿真软件(2024.0 版)的一个应用实例验证了所提出的解决方案,与传统的级联 PI 结构相比,该方案具有更优越的性能。
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引用次数: 0
Algorithm for Assessment of the Switching Angles in the Unipolar SPWM Technique for Single-Phase Inverters 评估单相逆变器单极 SPWM 技术开关角度的算法
Pub Date : 2024-07-19 DOI: 10.3390/a17070317
M. Ponce-Silva, Óscar Sánchez-Vargas, Claudia Cortés-García, Jesús Aguayo-Alquicira, S. D. De Léon-Aldaco
The main contribution of this paper is to present a simple algorithm that theoretically and numerically assesses the switching angles of an inverter operated with the SPWM technique. This technique is the most widely used for eliminating harmonics in DC-AC converters for powering motors, renewable energy applications, household appliances, etc. Unlike conventional implementations of the SPWM technique based on the analog or digital comparison of a sinusoidal signal with a triangular signal, this paper mathematically performs this comparison. It proposes a simple solution to solve the transcendental equations arising from the mathematical analysis numerically. The technique is validated by calculating the total harmonic distortion (THD) of the generated signal theoretically and numerically, and the results indicate that the calculated angles produce the same distribution of harmonics calculated analytically and numerically. The algorithm is limited to single-phase inverters with unipolar SPWM.
本文的主要贡献在于提出一种简单的算法,从理论和数值上评估采用 SPWM 技术的逆变器的开关角度。这种技术被最广泛地用于消除直流-交流转换器中的谐波,为电机、可再生能源应用、家用电器等提供动力。与传统的基于正弦信号与三角信号的模拟或数字比较的 SPWM 技术不同,本文通过数学方法进行比较。本文提出了一个简单的解决方案,以数值方式求解数学分析中产生的超越方程。通过理论和数值计算所产生信号的总谐波失真(THD),对该技术进行了验证,结果表明所计算的角度产生的谐波分布与分析和数值计算的相同。该算法仅限于采用单极 SPWM 的单相逆变器。
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引用次数: 0
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Algorithms
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