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Diversified Cover Selection for Image Steganography 丰富的封面选择图像隐写
3区 综合性期刊 Q1 Mathematics 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 Q1 Mathematics 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 Q1 Mathematics 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 Q1 Mathematics 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 Q1 Mathematics 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 Q1 Mathematics 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 Q1 Mathematics 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
Different Aspects of Spin in Quantum Mechanics and General Relativity 量子力学和广义相对论中自旋的不同方面
3区 综合性期刊 Q1 Mathematics Pub Date : 2023-11-03 DOI: 10.3390/sym15112016
Martin Tamm
In this paper, different aspects of the concept of spin are studied. The most well-established one is, of course, the quantum mechanical aspect: spin is a broken symmetry in the sense that the solutions of the Dirac equation tend to have directional properties that cannot be seen in the equation itself. It has been clear since the early days of quantum mechanics that this has something to do with the indefinite metric in Lorentz geometry, but the mechanism behind this connection is elusive. Although spin is not the same as rotation in the usual sense, there must certainly be a close relationship between these concepts. And, a possible way to investigate this connection is to instead start from the underlying geometry in general relativity. Is there a reason why rotating motion in Lorentz geometry should be more natural than non-rotating motion? In a certain sense, the answer turns out to be yes. But, it is by no means easy to see what this should correspond to in the usual quantum mechanical picture. On the other hand, it seems very unlikely that the similarities should be just coincidental. The interpretation of the author is that this can be a golden opportunity to investigate the interplay between these two theories.
本文对自旋概念的不同方面进行了研究。最完善的一个当然是量子力学方面:自旋是一种对称性破缺,因为狄拉克方程的解往往具有在方程本身中看不到的方向性。从量子力学的早期就很清楚,这与洛伦兹几何中的不定度规有关,但这种联系背后的机制是难以捉摸的。虽然自旋与通常意义上的旋转不一样,但这两个概念之间肯定有密切的关系。研究这种联系的一种可能的方法是从广义相对论的基础几何开始。在洛伦兹几何中,旋转运动比非旋转运动更自然,有什么原因吗?从某种意义上说,答案是肯定的。但是,要看出这在通常的量子力学图像中应该对应什么并不容易。另一方面,相似之处似乎不太可能只是巧合。作者的解释是,这可能是研究这两种理论之间相互作用的黄金机会。
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引用次数: 0
Self-Diffusiophoresis and Symmetry-Breaking of a Janus Dimer: Analytic Solution Janus二聚体的自扩散电泳和对称破缺:解析解
3区 综合性期刊 Q1 Mathematics Pub Date : 2023-11-03 DOI: 10.3390/sym15112019
Eldad J. Avital, Touvia Miloh
A self-diffusiophoretic problem is considered for a chemically active dimer consisting of two equal touching spherical colloids that are exposed to different fixed-flux and fixed-rate surface reactions. A new analytic solution for the autophoretic mobility of such a catalytic Janus dimer is presented in the limit of a small Péclet number and linearization of the resulting Robin-type boundary value problem for the harmonic solute concentration. Explicit solutions in terms of the physical parameters are first obtained for the uncoupled electrostatic and hydrodynamic problems. The dimer mobility is then found by employing the reciprocal theorem depending on the surface slip velocity and on the normal component of the shear stress acting on the inert dimer. Special attention is given to the limiting case of a Janus dimer composed of an inert sphere and a chemically active sphere where the fixed-rate reaction (Damköhler number) is infinitely large. Examples are given, comparing the numerical and approximate analytic solutions of the newly developed theory. Singular points arising in the model are discussed for a dimer with a fixed-rate reaction, and the flow field around the dimer is also analysed. The new developed theory introduces a fast way to compute the mobility of a freely suspended dimer and the induced flow field around it, and thus can also serve as a sub grid scale model for a multi-scale flow simulation.
考虑了一种化学活性二聚体的自扩散电泳问题,该二聚体由两个相等接触的球形胶体组成,暴露于不同的固定通量和固定速率表面反应。本文提出了一种新的解析解,用于分析这种催化Janus二聚体的自愈迁移率,该解在psamclet数很小的情况下,并对所得的robin型调和溶质浓度边值问题进行了线性化处理。首先对不耦合的静电和水动力问题得到了物理参数的显式解。二聚体的迁移率,然后通过采用依赖于表面滑移速度和作用在惰性二聚体上的剪切应力的法向分量的互易定理被发现。特别注意由惰性球和化学活性球组成的Janus二聚体的极限情况,其中固定速率反应(Damköhler数)无限大。给出了实例,比较了新理论的数值解和近似解析解。讨论了具有固定速率反应的二聚体在模型中出现的奇异点,并分析了二聚体周围的流场。新发展的理论引入了一种快速计算自由悬浮二聚体的迁移率及其周围诱导流场的方法,因此也可以作为多尺度流动模拟的亚网格尺度模型。
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引用次数: 0
Adaptive Anti-Disturbance Control of Dissolved Oxygen in Circulating Water Culture Systems 循环水培养系统溶解氧的自适应抗干扰控制
3区 综合性期刊 Q1 Mathematics Pub Date : 2023-11-02 DOI: 10.3390/sym15112015
Xiaonan Yao, Gang Zhang, Song Yang, Yuehua Chen
In the three-dimensional culture model, the breeding basket of the culture area is symmetrical and it is important to control the dissolved oxygen in the symmetrical region to improve the culture efficiency. Practical engineering issues, such as the influence of flow rate, pH, water temperature, and biological oxygen consumption on the dissolved oxygen content in the circulating water culture system, must be considered along with the presence of modeling errors in the control model. The authors propose an adaptive anti-disturbance control strategy for dissolved oxygen that combines nonlinear disturbance observation with an adaptive sliding model control. Initially, a dynamic model for controlling dissolved oxygen in a recirculating water aquaculture system was developed. The model considers external disturbances like artificial oxygenation, abrupt changes in system flow, and variations in culture oxygen consumption. Secondly, to enhance the robustness and accuracy of controlling dissolved oxygen concentration, the paper introduces a nonlinear adaptive disturbance observer for real-time estimation and observation of external disturbances and system uncertainties. This is accompanied by a sliding-mode control-based adaptive anti-disturbance strategy. Lastly, the simulation results demonstrate that the control strategy proposed in this paper shows resistance to system uncertainties and unknown external disturbances. Furthermore, it reduces the model accuracy requirements for the controller and proves to be suitable for accurately controlling dissolved oxygen in circulating water systems.
在三维培养模型中,养殖区域的养殖篮是对称的,控制对称区域的溶解氧是提高培养效率的重要因素。实际工程问题,如流量、pH、水温和生物耗氧量对循环水培养系统中溶解氧含量的影响,必须考虑控制模型中存在的建模误差。提出了一种溶解氧非线性扰动观测与自适应滑模控制相结合的自适应扰动控制策略。首先,建立了循环水养殖系统中溶解氧控制的动态模型。该模型考虑了外部干扰,如人工氧合、系统流量的突变和培养耗氧量的变化。其次,为了提高溶解氧浓度控制的鲁棒性和精度,引入了一种非线性自适应扰动观测器,用于实时估计和观测外部扰动和系统不确定性。这伴随着一个基于滑模控制的自适应抗干扰策略。最后,仿真结果表明,本文提出的控制策略对系统不确定性和未知外部干扰具有较强的抵抗能力。此外,该方法降低了对控制器模型精度的要求,适用于循环水系统溶解氧的精确控制。
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引用次数: 0
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