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Toward Enhanced Geological Analysis: A Novel Approach Based on Transmuted Semicircular Distribution 加强地质分析:一种基于变形半圆分布的新方法
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-08 DOI: 10.3390/sym15112030
Phani Yedlapalli, Gajula Naveen Venkata Kishore, Wadii Boulila, Anis Koubaa, Nabil Mlaiki
This paper introduces a novel semicircular distribution obtained by applying the quadratic rank transmutation map to the stereographic semicircular exponential distribution, referred to as the transmuted stereographic semicircular exponential distribution (TSSCED). This newly proposed distribution exhibits enhanced flexibility compared to the baseline stereographic semicircular exponential distribution (SSCEXP). We conduct a comprehensive analysis of the model’s properties and demonstrate its efficacy in data modeling through the application to a real dataset.
本文介绍了将二次秩变换映射应用于立体半圆指数分布得到的一种新的半圆分布,称为变换立体半圆指数分布(TSSCED)。与基线立体半圆指数分布(SSCEXP)相比,这种新提出的分布具有更强的灵活性。我们对该模型的属性进行了全面的分析,并通过对真实数据集的应用验证了该模型在数据建模中的有效性。
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引用次数: 0
Chemical Composition Optimization of Biocompatible Non-Equiatomic High-Entropy Alloys Using Machine Learning and First-Principles Calculations 利用机器学习和第一性原理计算优化生物相容性非等原子高熵合金的化学成分
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-08 DOI: 10.3390/sym15112029
Gengzhu Zhou, Zili Zhang, Renyao Feng, Wenjie Zhao, Shenyou Peng, Jia Li, Feifei Fan, Qihong Fang
Obtaining a suitable chemical composition for high-entropy alloys (HEAs) with superior mechanical properties and good biocompatibility is still a formidable challenge through conventional trial-and-error methods. Here, based on a large amount of experimental data, a machine learning technique may be used to establish the relationship between the composition and the mechanical properties of the biocompatible HEAs. Subsequently, first-principles calculations are performed to verify the accuracy of the prediction results from the machine learning model. The predicted Young’s modulus and yield strength of HEAs performed very well in the previous experiments. In addition, the effect on the mechanical properties of alloying an element is investigated in the selected Ti-Zr-Hf-Nb-Ta HEA with the high crystal symmetry. Finally, the Ti8-Zr20-Hf16-Nb35-Ta21 HEA predicted by the machine learning model exhibits a good combination of biocompatibility and mechanical performance, attributed to a significant electron flow and charge recombination. This work reveals the importance of these strategies, combined with machine learning and first-principles calculations, on the development of advanced biocompatible HEAs.
通过传统的试错方法获得具有优异力学性能和良好生物相容性的高熵合金(HEAs)的合适化学成分仍然是一个巨大的挑战。在此,基于大量的实验数据,可以使用机器学习技术来建立生物相容性HEAs的组成与力学性能之间的关系。随后,进行第一性原理计算以验证机器学习模型预测结果的准确性。HEAs的杨氏模量和屈服强度在之前的实验中得到了很好的预测。此外,还研究了选用具有高晶体对称性的Ti-Zr-Hf-Nb-Ta HEA合金对合金力学性能的影响。最后,机器学习模型预测的Ti8-Zr20-Hf16-Nb35-Ta21 HEA表现出良好的生物相容性和力学性能的结合,这归功于显著的电子流和电荷重组。这项工作揭示了这些策略与机器学习和第一性原理计算相结合在先进生物相容性HEAs开发中的重要性。
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引用次数: 0
Reaction–Diffusion Equations in Mathematical Models Arising in Epidemiology 流行病学数学模型中的反应-扩散方程
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-07 DOI: 10.3390/sym15112025
Vasyl’ Davydovych, Vasyl’ Dutka, Roman Cherniha
The review is devoted to an analysis of mathematical models used for describing epidemic processes. Our main focus is on the models that are based on partial differential equations (PDEs), especially those that were developed and used for the COVID-19 pandemic modeling. Most of our attention is given to the studies in which not only results of numerical simulations are presented but analytical results as well. In particular, traveling fronts (waves), exact solutions, and the estimation of key epidemic parameters of the epidemic models with governing PDEs (typically reaction–diffusion equations) are discussed. The review may serve as a valuable resource for researchers and practitioners in the field of mathematical modeling in epidemiology.
这篇综述专门分析了用于描述流行病过程的数学模型。我们的主要重点是基于偏微分方程(PDEs)的模型,特别是那些已开发并用于COVID-19大流行建模的模型。我们最关注的是那些既有数值模拟结果又有分析结果的研究。特别讨论了具有控制偏微分方程(典型的反应扩散方程)的流行病模型的行前(波)、精确解和关键流行病参数的估计。该综述可作为流行病学数学建模领域的研究人员和实践者的宝贵资源。
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引用次数: 0
Diversified Cover Selection for Image Steganography 丰富的封面选择图像隐写
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-06 DOI: 10.3390/sym15112024
Xinran Li, Daidou Guo, Chuan Qin
This paper proposes a new cover selection method for steganography. We focus on the scenario that the available images for selection contain diversified sources, i.e., nature images and metaverse images. For the scenario, we design a targeted strategy to evaluate the suitability for steganography of a candidate image, which selects images according to the undetectability against steganalytic tools symmetrically. Firstly, steganalytic features of the candidate images are extracted. Then, the features are fed on a steganalytic classifier, and the possibility of carrying secret data is calculated for cover selection. As a result, the selected images are the best candidates to resist steganalysis. Experimental results show that our method performs better than existing cover selection schemes when checked by steganalytic tools.
提出了一种新的隐写封面选择方法。我们重点研究了可供选择的图像包含多种来源的场景,即自然图像和元宇宙图像。针对这种情况,我们设计了一种有针对性的策略来评估候选图像的隐写适用性,该策略根据对隐写分析工具的不可检测性对称地选择图像。首先,提取候选图像的隐写分析特征;然后,将特征输入到隐写分类器上,并计算携带秘密数据的可能性,进行覆盖选择。因此,所选图像是抵抗隐写分析的最佳候选。实验结果表明,该方法优于现有的隐写分析方法。
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引用次数: 0
PointNAC: Copula-Based Point Cloud Semantic Segmentation Network PointNAC:基于copula的点云语义分割网络
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-06 DOI: 10.3390/sym15112021
Chunyuan Deng, Ruixing Chen, Wuyang Tang, Hexuan Chu, Gang Xu, Yue Cui, Zhenyun Peng
Three-dimensional point cloud data generally contain complex scene information and diversified category structures. Existing point cloud semantic segmentation networks tend to learn feature information between sampled center points and their neighboring points, while ignoring the scale and structural information of the spatial context of the sampled center points. To address these issues, this paper introduces PointNAC (PointNet based on normal vector and attention copula feature enhancement), a network designed for point cloud semantic segmentation in large-scale complex scenes, which consists of the following two main modules: (1) The local stereoscopic feature-encoding module: this feature-encoding process incorporates distance, normal vectors, and angles calculated based on the cosine theorem, enabling the network to learn not only the spatial positional information of the point cloud but also the spatial scale and geometric structure; and (2) the copula-based similarity feature enhancement module. Based on the stereoscopic feature information, this module analyzes the correlation among points in the local neighborhood. It enhances the features of positively correlated points while leaving the features of negatively correlated points unchanged. By combining these enhancements, it effectively enhances the feature saliency within the same class and the feature distinctiveness between different classes. The experimental results show that PointNAC achieved an overall accuracy (OA) of 90.9% and a mean intersection over union (MIoU) of 67.4% on the S3DIS dataset. And on the Vaihingen dataset, PointNAC achieved an overall accuracy (OA) of 85.9% and an average F1 score of 70.6%. Compared to the segmentation results of other network models on public datasets, our algorithm demonstrates good generalization and segmentation capabilities.
三维点云数据通常包含复杂的场景信息和多样化的类别结构。现有的点云语义分割网络倾向于学习采样中心点与其相邻点之间的特征信息,而忽略了采样中心点空间上下文的尺度和结构信息。为了解决这些问题,本文引入了PointNAC(基于法向量和注意copula特征增强的PointNet),这是一种针对大规模复杂场景下点云语义分割的网络,它包括以下两个主要模块:(1)局部立体特征编码模块:该特征编码过程结合了基于余弦定理计算的距离、法向量和角度,使网络不仅可以学习点云的空间位置信息,还可以学习点云的空间尺度和几何结构;(2)基于copula的相似特征增强模块。该模块基于立体特征信息,分析局部邻域内点之间的相关性。它增强了正相关点的特征,而保持了负相关点的特征不变。通过结合这些增强,有效地增强了同一类内特征的显著性和不同类之间特征的显著性。实验结果表明,PointNAC在S3DIS数据集上的总体准确率(OA)为90.9%,平均交联率(MIoU)为67.4%。在Vaihingen数据集上,PointNAC的总体准确率(OA)为85.9%,平均F1分数为70.6%。与其他网络模型在公共数据集上的分割结果相比,我们的算法显示出良好的泛化和分割能力。
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引用次数: 0
Three-Dimensional Semi-Symmetric Almost α-Cosymplectic Manifolds 三维半对称几乎α-余辛流形
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-05 DOI: 10.3390/sym15112022
Sermin Öztürk, Hakan Öztürk
The main objective of this paper is to study semi-symmetric almost -cosymplectic three-manifolds. We present basic formulas for almost -cosymplectic manifolds. Using curvature properties, we obtain some necessary and sufficient conditions on semi-symmetric almost -cosymplectic three-manifolds. We obtain the main results under an additional condition. The paper concludes with two illustrative examples.
本文的主要目的是研究半对称几乎-余辛三流形。给出了几乎-余辛流形的基本公式。利用曲率性质,得到了半对称几乎-余辛三流形的几个充分必要条件。我们在附加条件下得到了主要结果。本文最后以两个实例作结。
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引用次数: 0
Ulam–Hyers Stability of Linear Differential Equation with General Transform 广义变换线性微分方程的Ulam-Hyers稳定性
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-05 DOI: 10.3390/sym15112023
Sandra Pinelas, Arunachalam Selvam, Sriramulu Sabarinathan
The main aim of this study is to implement the general integral transform technique to determine Ulam-type stability and Ulam–Hyers–Mittag–Leffer stability. We are given suitable examples to validate and support the theoretical results. As an application, the general integral transform is used to find Ulam stability of differential equations arising in Thevenin equivalent electrical circuit system. The results are graphically represented, which provides a clear and thorough explanation of the suggested method.
本研究的主要目的是运用一般积分变换技术来确定ulam型稳定性和Ulam-Hyers-Mittag-Leffer稳定性。给出了合适的算例来验证和支持理论结果。作为一个应用,利用一般积分变换求出了等效电路系统中微分方程的Ulam稳定性。结果用图形表示,这为所建议的方法提供了一个清晰而彻底的解释。
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引用次数: 0
Calculation of Forces to the High Granularity Calorimeter Stainless Steel Absorber Plates in the CMS Magnetic Field 高粒度量热计不锈钢吸收板在CMS磁场中的受力计算
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-03 DOI: 10.3390/sym15112017
Vyacheslav Klyukhin
The general-purpose Compact Muon Solenoid (CMS) detector at the Large Hadron Collider (LHC) at CERN incorporates a hadronic calorimeter to register the energies of the charged and neutral hadrons produced in proton–proton collisions at the LHC at a center-of-mass energy of 13.6 TeV. This calorimeter is located inside a superconducting solenoid that is 6 m in diameter and 12.5 m in length, generating a central magnetic flux density of 3.8 T. For operating optimally in the high pileup and high radiation environment of the High-Luminosity LHC, the existing CMS endcap calorimeters will be replaced with a new high granularity calorimeter (HGCal) with an electromagnetic section and a hadronic section in each of the two endcaps. The hadronic section of the HGCal will include 44 stainless-steel absorber plates with a relative permeability value well below 1.05. The volume occupied by 22 plates in each endcap is about 21 m3. The calculation of the axial electromagnetic forces acting on the absorber plates is a crucial element in designing the mechanical construction of the device. With a three-dimensional computer model of the CMS magnet, the axial forces on each absorber plate were calculated, and the dependence of forces on the central magnetic flux density value is presented. The method of calculation and the obtained results are discussed.
欧洲核子研究中心(CERN)大型强子对撞机(LHC)上的通用紧凑型μ子螺线管(CMS)探测器包含一个强子量热计,用于记录LHC中质子-质子碰撞产生的带电强子和中性强子的能量,质心能量为13.6 TeV。该量热计位于直径6 m、长12.5 m的超导螺线管内,产生3.8 t的中心磁通密度。为了在高亮度LHC的高堆高辐射环境中实现最佳工作,现有的CMS端帽量热计将被替换为一个新的高粒度量热计(HGCal),在两个端帽各有一个电磁段和一个强子段。HGCal的强子部分将包括44块相对渗透率远低于1.05的不锈钢吸收板。每个端盖22块板所占体积约为21 m3。作用在吸振板上的轴向电磁力的计算是设计吸振板机械结构的关键因素。建立了CMS磁体的三维计算机模型,计算了各吸收体板上的轴向力,并给出了力与中心磁通密度值的关系。讨论了计算方法和计算结果。
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引用次数: 0
An Enhanced Ant Colony System Algorithm Based on Subpaths for Solving the Capacitated Vehicle Routing Problem 基于子路径的增强蚁群算法求解有能力车辆路径问题
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-03 DOI: 10.3390/sym15112020
Zakir Hussain Ahmed, Asaad Hameed, Modhi Mutar, Habibollah Haron
The capacitated vehicle routing problem (CVRP) is regarded as an NP-hard problem. Moreover, the CVRP is described as a model that can be used in many applications such as transport, logistics, and distribution. The exact algorithms can find exact optimal solutions on the small-sized problem instances; however, for large-sized instances it is difficult to find the exact optimal solutions in polynomial time. This reason motivated the researchers to present heuristic/metaheuristic algorithms to solve large-sized problem instances within a reasonable computational time. One of the good algorithms that deal with the CVRP is the ant colony optimization (ACO) algorithm. Several ACO algorithms have been suggested in the literature, such as the ant system (AS) algorithm, ant colony system (ACS) algorithm, and so on. On the other hand, ACO is designed to solve the path problem that finds the best way. However, this algorithm still lacks exploratory mechanisms, which results in premature convergence and stagnation issues. Therefore, we propose to develop an enhanced ACS (EACS) algorithm for solving the CVRP based on subpaths. In our proposed algorithm, we propose to utilize the K-nearest neighbour (KNN) algorithm for finding the best initial solution and then enhance the diversity mechanism of the proposed algorithm by avoiding the generation of the same solution using subpaths. This uses the diversity of the generated solution to find a better solution with a shorter route in a reasonable amount of computational time. Furthermore, we propose to apply the three-opt algorithm to the completed subtour and the k-opt algorithm to the subpath gained from the experience of the subpath. Finally, to verify the effectiveness of the proposed EACS algorithm, the algorithm is tested on some CVRP instances and is compared with one of the state-of-the-art methods, namely, the enhanced simulated annealing algorithm. The comparative study showed a better performance of our EACS compared to the enhanced simulated annealing algorithm.
有能力车辆路径问题(CVRP)是一个NP-hard问题。此外,CVRP被描述为一种可用于运输、物流和分销等许多应用程序的模型。精确算法能在小问题实例上找到精确的最优解;然而,对于大规模的实例,很难在多项式时间内找到精确的最优解。这一原因促使研究者提出启发式/元启发式算法来在合理的计算时间内解决大规模的问题实例。处理CVRP的一个很好的算法是蚁群优化(ACO)算法。文献中提出了几种蚁群算法,如蚂蚁系统(as)算法、蚁群系统(ACS)算法等。另一方面,蚁群算法旨在解决寻找最佳路径的路径问题。然而,该算法仍然缺乏探索性机制,导致过早收敛和停滞问题。因此,我们建议开发一种基于子路径的增强型ACS (EACS)算法来求解CVRP。在我们提出的算法中,我们提出利用k近邻(KNN)算法来寻找最佳初始解,然后通过避免使用子路径生成相同的解来增强所提出算法的多样性机制。它利用生成的解决方案的多样性,在合理的计算时间内用更短的路线找到更好的解决方案。此外,我们提出将three-opt算法应用于已完成的子路径,将k-opt算法应用于从子路径经验中获得的子路径。最后,为了验证所提出的EACS算法的有效性,在一些CVRP实例上对该算法进行了测试,并与最先进的方法之一,即增强型模拟退火算法进行了比较。对比研究表明,与增强的模拟退火算法相比,我们的EACS具有更好的性能。
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引用次数: 0
Spectroscopy of Mesons Produced by Linearly Polarized Photons 线偏振光子产生的介子光谱学
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-11-03 DOI: 10.3390/sym15112018
Carlos W. Salgado
A formalism for the experimental analysis of mesons produced by a beam of linearly polarized photons is presented. This formalism introduces a more general use of the reflectivity operator. The goal is to recognize resonances in cross-sections, their associated quantum numbers, and production mechanisms by performing partial wave analysis of multiple-meson final states.
给出了一束线偏振光子产生的介子的实验分析的一种形式。这种形式引入了反射率运算符的更一般的用法。目标是通过执行多介子最终态的部分波分析来识别横截面中的共振,它们相关的量子数和产生机制。
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引用次数: 0
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