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Distributed Sequential State Estimation Over Binary Sensor Networks With Inaccurate Process Noise Covariance: A Variational Bayesian Framework 具有不准确过程噪声协方差的二值传感器网络上的分布式顺序状态估计:一个变分贝叶斯框架
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-13 DOI: 10.1109/TSIPN.2024.3497773
Jiayi Zhang;Guoliang Wei;Derui Ding;Yamei Ju
In this paper, the distributed sequential state estimation problem is addressed for a class of discrete time-varying systems with inaccurate process noise covariance over binary sensor networks. First, with the purpose of reducing communication costs, a special class of sensors called binary sensors, which output only one bit of data, is adopted. The Gaussian tail function is then used to describe the likelihood of the binary measurements. Subsequently, the process noise covariance matrix is modeled as a inverse Wishart distribution. By employing a variational Bayesian approach combined with diffusion filtering strategies, the parameters (i.e., mean and variance) of the prior and posterior probability density functions are formalized for the sequential estimator and the sequential predictor. Then, the fixed-point iteration is utilized to receive the approximate optimal distributions of both system states and estimated covariance matrices. Finally, a simulation example of target tracking demonstrates that our algorithm performs effectively using binary measurement outputs.
本文研究了一类具有不准确过程噪声协方差的离散时变系统在二值传感器网络上的分布式顺序状态估计问题。首先,为了降低通信成本,采用了一种特殊的传感器,即二进制传感器,它只输出1位数据。然后用高斯尾函数来描述二值测量的似然。随后,将过程噪声协方差矩阵建模为逆Wishart分布。采用变分贝叶斯方法结合扩散滤波策略,对序列估计器和序列预测器的先验和后验概率密度函数的参数(即均值和方差)进行了形式化。然后,利用不动点迭代得到系统状态和估计协方差矩阵的近似最优分布。最后,通过一个目标跟踪的仿真实例验证了该算法在使用二值测量输出时的有效性。
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引用次数: 0
Variable Step-Size Diffusion Bias-Compensated APV Algorithm Over Networks 网络上的可变步长扩散偏差补偿 APV 算法
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-11 DOI: 10.1109/TSIPN.2024.3496255
Fuyi Huang;Shuting Yang;Sheng Zhang;Haiqiang Chen;Pengwei Wen
This paper investigates the distributed estimation problem over networks with highly correlated and noisy inputs. As a first step, this paper proposes an algorithm based on diffusion affine projection Versoria (APV) that can process highly correlated input signals over networks. Following that, the optimal step-size is derived by minimizing the mean-square deviation at each node, so that the tradeoff between convergence rate and steady-state error can be addressed. To reduce estimation bias caused by input noise, two diffusion bias-compensated APV (DBCAPV) algorithms are then developed by solving the asymptotic unbiasedness or local constrained optimization problems. Using the optimal step-size processed through the moving average and reset mechanisms, two variable step-size DBCAPV algorithms are obtained. The simulation results demonstrate that our methods are effective.
本文研究了具有高度相关和高噪声输入的网络分布式估计问题。首先,本文提出了一种基于扩散仿射投影 Versoria(APV)的算法,可以处理网络上高度相关的输入信号。随后,通过最小化每个节点的均方偏差,得出了最佳步长,从而解决了收敛速度和稳态误差之间的权衡问题。为了减少输入噪声造成的估计偏差,通过解决渐近无偏性或局部约束优化问题,开发了两种扩散偏差补偿 APV 算法(DBCAPV)。通过移动平均和重置机制处理最优步长,得到两种可变步长的 DBCAPV 算法。仿真结果表明,我们的方法是有效的。
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引用次数: 0
Reinforcement Learning-Based Event-Triggered Constrained Containment Control for Perturbed Multiagent Systems 基于强化学习的受扰多代理系统事件触发约束遏制控制
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-08 DOI: 10.1109/TSIPN.2024.3487422
Daocheng Tang;Ning Pang;Xin Wang
This article investigates the full-state-constrained optimal containment control problem of perturbed nonlinear multiagent systems (MASs). Initially, to balance control accuracy and cost while maintaining the states of MASs within confined regions, an enhanced constrained optimized backstepping (OB) framework is first developed for the multiagent control scenario by adopting an identifier-actor-critic-based reinforcement learning (RL) algorithm, where a novel performance index based on the barrier Lyapunov function (BLF) is integrated into the classic OB framework. Then, to enhance the robustness of the systems, the proposed framework employs disturbance observers to mitigate the effects of unknown external disturbances. Moreover, sufficient conditions are established to ensure that systems maintain stability and expected performance under denial-of-service (DoS) attacks. Subsequently, the controller implements a novel dynamic event-triggered mechanism (DETM), adaptively adjusting the triggering conditions by the estimated neural network (NN) weights in the proposed framework for substantial communication burden reduction. Finally, the stability of the systems is demonstrated using the Lyapunov theory, and a simulation example confirms the feasibility of the proposed scheme.
本文研究了扰动非线性多代理系统(MAS)的全状态约束优化控制问题。首先,为了在将 MAS 的状态保持在受限区域内的同时平衡控制精度和成本,本文针对多代理控制场景,通过采用基于识别器-代理-批判的强化学习(RL)算法,开发了增强型受限优化反步态(OB)框架,并将基于障碍李亚普诺夫函数(BLF)的新型性能指标集成到经典的 OB 框架中。然后,为了增强系统的鲁棒性,所提出的框架采用了干扰观测器来减轻未知外部干扰的影响。此外,还建立了充分条件,以确保系统在拒绝服务(DoS)攻击下保持稳定和预期性能。随后,控制器实施了一种新颖的动态事件触发机制(DETM),通过估计拟议框架中的神经网络(NN)权重自适应地调整触发条件,从而大大减轻了通信负担。最后,利用 Lyapunov 理论证明了系统的稳定性,一个仿真实例证实了所提方案的可行性。
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引用次数: 0
Finite-Time Performance Mask Function-Based Distributed Privacy-Preserving Consensus: Case Study on Optimal Dispatch of Energy System 基于有限时间性能掩码函数的分布式隐私保护共识:能源系统优化调度案例研究
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-06 DOI: 10.1109/TSIPN.2024.3485480
Minxue Kong;Feifei Shen;Zhi Li;Xin Peng;Weimin Zhong
Privacy-preserving consensus can address the information being leaked during distributed computing, encouraging its application in various scenarios. This paper investigates the finite-time privacy-preserving distributed optimal dispatch for energy systems (ESs). Firstly, a dynamic output mask function is designed to ensure that each node's internal state cannot be identified while accomplishing a distributed task. Second, two finite-time privacy-preserving consensus algorithms are presented, including leader–follower and average consensus algorithms. Under the proposed dynamic mask function, the proposed algorithms are local, allowing each node to protect its privacy by adopting the proposed dynamic output mask. The superiority of the proposed algorithm lies in its ability to achieve precise convergence while ensuring privacy protection. Third, the accurate value of the target state can be obtained after finite steps when processing and transmitting information. In addition, several conditions are presented for ensuring the convergence of the algorithms, which is not limited by special topologies such as undirected graphs and balanced graphs. Finally, an application that achieves the distributed optimal dispatch for the CCHP-based (Combined Cooling, Heating, and Power) ESs, and two examples illustrate that the algorithms can be effective access to economic optimization and excellent privacy performance.
隐私保护共识可以解决分布式计算过程中的信息泄露问题,从而促进其在各种场景中的应用。本文研究了能源系统(ES)的有限时间隐私保护分布式优化调度。首先,设计了一个动态输出掩码函数,以确保在完成分布式任务时无法识别每个节点的内部状态。其次,提出了两种有限时间隐私保护共识算法,包括领导者-跟随者共识算法和平均共识算法。在提议的动态掩码函数下,提议的算法是局部的,允许每个节点通过采用提议的动态输出掩码来保护自己的隐私。拟议算法的优越性在于它能在确保隐私保护的同时实现精确收敛。第三,在处理和传输信息时,经过有限的步骤就能获得目标状态的精确值。此外,还提出了确保算法收敛的几个条件,这些条件不受无向图和平衡图等特殊拓扑结构的限制。最后,基于 CCHP(联合供冷、供热和供电)的 ES 实现分布式优化调度的应用和两个示例说明了该算法可以有效实现经济优化和出色的隐私性能。
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引用次数: 0
Discrete-Time Controllability of Cartesian Product Networks 笛卡尔产品网络的离散时间可控性
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-06 DOI: 10.1109/TSIPN.2024.3487411
Bo Liu;Mengjie Hu;Junjie Huang;Qiang Zhang;Yin Chen;Housheng Su
This work studies the discrete-time controllability of a composite network formed by factor networks via Cartesian products. Based on the Popov-Belevitch-Hautus test and properties of Cartesian products, we derive the algebra-theoretic necessary and sufficient conditions for the controllability of the Cartesian product network (CPN), which is devoted to carry out a comprehensive study of the intricate interplay between the node-system dynamics, network topology and the controllability of the CPN, especially the intrinsic connection between the CPN and its factors. This helps us enrich and perfect the theoretical framework of controllability of complex networks, and gives new insight into designing a valid control scheme for larger-scale composite networks.
本研究探讨了因子网络通过笛卡尔积形成的复合网络的离散时间可控性。基于 Popov-Belevitch-Hautus 检验和笛卡尔积的性质,我们推导了笛卡尔积网络(CPN)可控性的代数理论必要条件和充分条件,致力于全面研究节点系统动力学、网络拓扑结构与 CPN 可控性之间错综复杂的相互作用,特别是 CPN 与其因子之间的内在联系。这有助于我们丰富和完善复杂网络可控性的理论框架,并为设计更大规模复合网络的有效控制方案提供新的启示。
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引用次数: 0
Generalized Simplicial Attention Neural Networks 广义简约注意神经网络
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-10-25 DOI: 10.1109/TSIPN.2024.3485473
Claudio Battiloro;Lucia Testa;Lorenzo Giusti;Stefania Sardellitti;Paolo Di Lorenzo;Sergio Barbarossa
Graph machine learning methods excel at leveraging pairwise relations present in the data. However, graphs are unable to fully capture the multi-way interactions inherent in many complex systems. An effective way to incorporate them is to model the data on higher-order combinatorial topological spaces, such as Simplicial Complexes (SCs) or Cell Complexes. For this reason, we introduce Generalized Simplicial Attention Neural Networks (GSANs), novel neural network architectures designed to process data living on simplicial complexes using masked self-attentional layers. Hinging on topological signal processing principles, we devise a series of principled self-attention mechanisms able to process data associated with simplices of various order, such as nodes, edges, triangles, and beyond. These schemes learn how to combine data associated with neighbor simplices of consecutive order in a task-oriented fashion, leveraging on the simplicial Dirac operator and its Dirac decomposition. We also prove that GSAN satisfies two fundamental properties: permutation equivariance and simplicial-awareness. Finally, we illustrate how our approach compares favorably with other simplicial and graph models when applied to several (inductive and transductive) tasks, such as trajectory prediction, missing data imputation, graph classification, and simplex prediction.
图机器学习方法擅长利用数据中的配对关系。然而,图形无法完全捕捉许多复杂系统中固有的多向交互。一种有效的方法是在高阶组合拓扑空间(如简单复合物(SC)或细胞复合物)上建立数据模型。为此,我们引入了广义单纯注意神经网络(GSANs),这是一种新颖的神经网络架构,旨在利用屏蔽自注意层处理单纯复合物上的数据。根据拓扑信号处理原理,我们设计了一系列有原则的自我注意机制,能够处理与节点、边、三角形等不同顺序的复合物相关的数据。这些方案利用简约迪拉克算子及其迪拉克分解,以任务为导向的方式学习如何组合与连续阶相邻简约相关的数据。我们还证明了 GSAN 满足两个基本属性:包络等差性和简约感知性。最后,我们说明了我们的方法在应用于轨迹预测、缺失数据估算、图分类和单纯形预测等几项(归纳和转归)任务时,与其他单纯形和图模型的优越性。
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引用次数: 0
Dual-Domain Defenses for Byzantine-Resilient Decentralized Resource Allocation 拜占庭弹性分散资源分配的双域防御系统
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-10-23 DOI: 10.1109/TSIPN.2024.3485508
Runhua Wang;Qing Ling;Zhi Tian
This paper investigates the problem of decentralized resource allocation in the presence of Byzantine attacks. Such attacks occur when an unknown number of malicious agents send random or carefully crafted messages to their neighbors, aiming to prevent the honest agents from reaching the optimal resource allocation strategy. We characterize these malicious behaviors with the classical Byzantine attacks model, and propose a class of Byzantine-resilient decentralized resource allocation algorithms augmented with dual-domain defenses. The honest agents receive messages containing the (possibly malicious) dual variables from their neighbors at each iteration, and filter these messages with robust aggregation rules. Theoretically, we prove that the proposed algorithms can converge to neighborhoods of the optimal resource allocation strategy, given that the robust aggregation rules are properly designed. Numerical experiments are conducted to corroborate the theoretical results.
本文研究了存在拜占庭攻击时的分散资源分配问题。当未知数量的恶意代理向它们的邻居发送随机或精心制作的信息时,就会发生这种攻击,目的是阻止诚实的代理达成最优资源分配策略。我们用经典的拜占庭攻击模型来描述这些恶意行为,并提出了一类具有拜占庭抗性的分散式资源分配算法,该算法增强了双域防御功能。诚实的代理在每次迭代时都会收到来自其邻居的包含(可能是恶意的)对偶变量的信息,并利用稳健的聚合规则过滤这些信息。我们从理论上证明,只要稳健聚合规则设计得当,所提出的算法就能收敛到最优资源分配策略的邻域。我们还进行了数值实验来证实理论结果。
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引用次数: 0
Graph Convolutional Neural Networks Sensitivity Under Probabilistic Error Model 概率误差模型下的图卷积神经网络灵敏度
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-10-23 DOI: 10.1109/TSIPN.2024.3485532
Xinjue Wang;Esa Ollila;Sergiy A. Vorobyov
Graph Neural Networks (GNNs), particularly Graph Convolutional Neural Networks (GCNNs), have emerged as pivotal instruments in machine learning and signal processing for processing graph-structured data. This paper proposes an analysis framework to investigate the sensitivity of GCNNs to probabilistic graph perturbations, directly impacting the graph shift operator (GSO). Our study establishes tight expected GSO error bounds, which are explicitly linked to the error model parameters, and reveals a linear relationship between GSO perturbations and the resulting output differences at each layer of GCNNs. This linearity demonstrates that a single-layer GCNN maintains stability under graph edge perturbations, provided that the GSO errors remain bounded, regardless of the perturbation scale. For multilayer GCNNs, the dependency of system's output difference on GSO perturbations is shown to be a recursion of linearity. Finally, we exemplify the framework with the Graph Isomorphism Network (GIN) and Simple Graph Convolution Network (SGCN). Experiments validate our theoretical derivations and the effectiveness of our approach.
图神经网络(GNN),尤其是图卷积神经网络(GCNN),已成为机器学习和信号处理领域处理图结构数据的重要工具。本文提出了一个分析框架,用于研究 GCNN 对直接影响图移动算子(GSO)的概率图扰动的敏感性。我们的研究建立了与误差模型参数明确相关的严格预期 GSO 误差边界,并揭示了 GSO 扰动与 GCNN 各层输出差异之间的线性关系。这种线性关系表明,单层 GCNN 在图边扰动下仍能保持稳定,前提是 GSO 误差保持在一定范围内,而与扰动规模无关。对于多层 GCNN,系统输出差值对 GSO 扰动的依赖性被证明是线性递归。最后,我们用图同构网络(GIN)和简单图卷积网络(SGCN)举例说明了这一框架。实验验证了我们的理论推导和方法的有效性。
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引用次数: 0
A Continuous-Time Algorithm for Distributed Optimization With Nonuniform Time-Delay Under Switching and Unbalanced Digraphs 切换和不平衡图谱下非均匀时延分布式优化的连续时间算法
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-10-23 DOI: 10.1109/TSIPN.2024.3485549
Wenbo Zhu;Wenqiang Wu;Qingling Wang
This paper studies the distributed optimization of continuous-time multi-agent systems with time-delay under switching digraphs. An auxiliary system which only requires the information of the number of adjacent agents is first constructed, then a class of new distributed optimization algorithms are proposed. As an application, we extend above algorithms to address distributed economic dispatch issues for smart grids. It is theoretically shown that the new illustrated distributed control strategies can asymptotically realize optimal consensus for multi-agent systems and optimal economic dispatch for smart grids, where the communication time-delay can be nonuniform, and the switching digraphs are uniformly jointly strongly connected. Finally, two simulation examples are provided to validate theoretical results.
本文研究了切换数字图下具有时延的连续时间多代理系统的分布式优化问题。首先构建了一个只需要相邻代理数量信息的辅助系统,然后提出了一类新的分布式优化算法。作为应用,我们将上述算法扩展到解决智能电网的分布式经济调度问题。理论证明,新的分布式控制策略可以渐近地实现多代理系统的最优共识和智能电网的最优经济调度,其中通信时延可以是非均匀的,而开关数字图是均匀联合强连接的。最后,还提供了两个仿真实例来验证理论结果。
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引用次数: 0
Gotta Match 'Em All: Solution Diversification in Graph Matching Matched Filters 必须全部匹配:图形匹配匹配过滤器中的解决方案多样化
IF 3 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-10-07 DOI: 10.1109/TSIPN.2024.3467921
Zhirui Li;Ben K Johnson;Daniel L. Sussman;Carey E. Priebe;Vince Lyzinski
We present a novel approach for finding multiple noisily embedded template graphs in a very large background graph. Our method builds upon the graph-matching-matched-filter technique proposed in Sussman et al. (Sussman, 2020), with the discovery of multiple diverse matchings being achieved by iteratively penalizing a suitable node-pair similarity matrix in the matched filter algorithm. In addition, we propose algorithmic speed-ups that greatly enhance the scalability of our matched-filter approach. We present theoretical justification of our methodology in the setting of correlated Erdős-Rényi graphs, showing its ability to sequentially discover multiple templates under mild model conditions. We additionally demonstrate our method's utility via extensive experiments both using simulated models and real-world datasets, including human brain connectomes and a large transactional knowledge base.
我们提出了一种在超大背景图中发现多个噪声嵌入模板图的新方法。我们的方法建立在 Sussman 等人(Sussman,2020 年)提出的图匹配匹配过滤器技术的基础上,通过在匹配过滤器算法中对合适的节点对相似性矩阵进行迭代惩罚来实现多种匹配的发现。此外,我们还提出了算法提速方案,大大提高了匹配过滤器方法的可扩展性。我们在相关厄尔多斯-雷尼图的设置中提出了我们方法的理论依据,展示了它在温和的模型条件下连续发现多个模板的能力。此外,我们还利用模拟模型和真实世界数据集(包括人脑连接组和大型事务知识库)进行了大量实验,证明了我们方法的实用性。
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引用次数: 0
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IEEE Transactions on Signal and Information Processing over Networks
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