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An enhanced competitive swarm optimizer with strongly robust sparse operator for large-scale sparse multi-objective optimization problem 针对大规模稀疏多目标优化问题的带强鲁棒稀疏算子的增强型竞争性蜂群优化器
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-22 DOI: 10.1016/j.ins.2024.121569
Qinghua Gu , Liyao Rong , Dan Wang , Di Liu
In the real world, the decision variables of large-scale sparse multi-objective problems are high-dimensional, and most Pareto optimal solutions are sparse. The balance of the algorithms is difficult to control, so it is challenging to deal with such problems in general. Therefore, An Enhanced Competitive Swarm Optimizer with Strongly Robust Sparse Operator (SR-ECSO) algorithm is proposed. Firstly, the strongly robust sparse functions which accelerate particles in the population better sparsity in decision space, are used in high-dimensional decision variables. Secondly, the diversity of sparse solutions is maintained, and the convergence balance of the algorithm is enhanced by the introduction of an adaptive random perturbation operator. Finally, the state of the particles is updated using a swarm optimizer to improve population competitiveness. To verify the proposed algorithm, we tested eight large-scale sparse benchmark problems, and the decision variables were set in three groups with 100, 500, and 1000 as examples. Experimental results show that the algorithm is promising for solving large-scale sparse optimization problems.
在现实世界中,大规模稀疏多目标问题的决策变量是高维的,大多数帕累托最优解都是稀疏的。算法的平衡性难以控制,因此在一般情况下处理这类问题具有挑战性。因此,本文提出了带强鲁棒稀疏算子的增强型竞争性蜂群优化算法(SR-ECSO)。首先,在高维决策变量中使用了强鲁棒性稀疏函数,它能加速群体中的粒子在决策空间中获得更好的稀疏性。其次,通过引入自适应随机扰动算子,保持了稀疏解的多样性,并增强了算法的收敛平衡。最后,利用蜂群优化器更新粒子状态,以提高群体竞争力。为了验证所提出的算法,我们测试了八个大规模稀疏基准问题,并以 100、500 和 1000 为例,将决策变量分为三组。实验结果表明,该算法有望解决大规模稀疏优化问题。
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引用次数: 0
Size-fixed group discovery via multi-constrained graph pattern matching 通过多约束图模式匹配发现大小固定的群组
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-22 DOI: 10.1016/j.ins.2024.121571
Guliu Liu , Lei Li , Guanfeng Liu , Xindong Wu
Multi-Constrained Graph Pattern Matching (MC-GPM) aims to match a pattern graph with multiple attribute constraints on its nodes and edges, and has garnered significant interest in various fields, including social-based e-commerce and trust-based group discovery. However, the existing MC-GPM methods do not consider situations where the number of each node in the pattern graph needs to be fixed, such as finding experts group with expert quantities and relations specified. In this paper, a Multi-Constrained Strong Simulation with the Fixed Number of Nodes (MCSS-FNN) matching model is proposed, and then a Trust-oriented Optimal Multi-constrained Path (TOMP) matching algorithm is designed for solving it. Additionally, two heuristic optimization strategies are designed, one for combinatorial testing and the other for edge matching, to enhance the efficiency of the TOMP algorithm. Empirical experiments are conducted on four real social network datasets, and the results demonstrate the effectiveness and efficiency of the proposed algorithm and optimization strategies.
多约束图模式匹配(Multi-Constrained Graph Pattern Matching,MC-GPM)旨在匹配节点和边上有多个属性约束的模式图,在基于社交的电子商务和基于信任的群体发现等多个领域引起了广泛关注。然而,现有的 MC-GPM 方法没有考虑到模式图中每个节点的数量需要固定的情况,例如寻找专家数量和关系指定的专家组。本文提出了节点数固定的多约束强模拟(MCSS-FNN)匹配模型,并设计了一种面向信任的多约束最优路径(TOMP)匹配算法来解决该问题。此外,还设计了两种启发式优化策略,一种用于组合测试,另一种用于边缘匹配,以提高 TOMP 算法的效率。我们在四个真实的社交网络数据集上进行了实证实验,结果证明了所提算法和优化策略的有效性和效率。
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引用次数: 0
A feedback matrix based evolutionary multitasking algorithm for high-dimensional ROC convex hull maximization 基于反馈矩阵的高维 ROC 凸壳最大化进化多任务算法
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-22 DOI: 10.1016/j.ins.2024.121572
Jianfeng Qiu , Ning Wang , Shengda Shu , Kaixuan Li , Juan Xie , Chunhui Chen , Fan Cheng
Multi-objective evolutionary algorithms have shown their competitiveness in solving ROC convex hull maximization. However, due to “the curse of dimensionality”, few of them focus on high-dimensional ROCCH maximization. Therefore, in this paper, a feedback matrix (FM)-based evolutionary multitasking algorithm, termed as FM-EMTA, is proposed. In FM-EMTA, to tackle “the curse of dimensionality”, a feature importance based low-dimensional task construction strategy is designed to transform the high-dimensional ROCCH maximization task into several low-dimensional tasks. Then, each low-dimensional task evolves with a population. To ensure that the low-dimensional task achieves a better ROCCH, an FM-based evolutionary multitasking operator is proposed. Specifically, for each low-dimensional task i, the element FM(i,j) in feedback matrix is defined to measure the degree that the low-dimensional task j could assist task i. Based on it, an FM-based assisted task selection operator and an FM-based knowledge transfer operator are developed to constitute the evolutionary multitasking operator, with which the useful knowledge is transferred among the low-dimensional tasks. After the evolution, the best ROCCHs obtained by the low-dimensional tasks are combined together to achieve the final ROCCH on the original high-dimensional task. Experiments on twelve high-dimensional datasets with different characteristics demonstrate the superiority of the proposed FM-EMTA over the state-of-the-arts in terms of the area under ROCCH, the hypervolume indicator and the running time.
多目标进化算法在求解 ROC 凸壳最大化方面显示了其竞争力。然而,由于 "维度诅咒",很少有进化算法关注高维 ROCCH 最大化。因此,本文提出了一种基于反馈矩阵(FM)的进化多任务算法,称为 FM-EMTA。在 FM-EMTA 算法中,为解决 "维度诅咒 "问题,设计了一种基于特征重要性的低维任务构建策略,将高维 ROCCH 最大化任务转化为多个低维任务。然后,每个低维任务与一个群体一起演化。为确保低维任务实现更好的 ROCCH,提出了一种基于调频的进化多任务算子。具体来说,对于每个低维任务 i,定义反馈矩阵中的元素 FM(i,j),以衡量低维任务 j 对任务 i 的辅助程度。在此基础上,开发了基于调频的辅助任务选择算子和基于调频的知识转移算子,构成了进化多任务算子,有用的知识通过该算子在低维任务间转移。进化完成后,低维任务获得的最佳 ROCCH 将被组合在一起,以实现原始高维任务的最终 ROCCH。在 12 个具有不同特征的高维数据集上进行的实验证明,所提出的 FM-EMTA 在 ROCCH 下面积、超体积指标和运行时间方面都优于同行。
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引用次数: 0
Tensorized diversity and consistency with Laplacian manifold for multi-view clustering 多视角聚类的张量多样性和拉普拉卡流形的一致性
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-21 DOI: 10.1016/j.ins.2024.121575
Tong Wu, Gui-Fu Lu
The advantage of multi-view clustering lies in its ability to leverage the diversity and consistency among multiple views to better capture the intrinsic structure of the data. However, existing multi-view methods treat diversity and consistency as a set of opposing attributes, overlooking their inherent connections. Meanwhile, the complete information across multiple views is not fully utilized. To address these issues, this paper proposes the tensorized diversity and consistency with Laplacian manifold for multi-view clustering method (TDCLM). Specifically, starting from the self-expressive property of the original data, we obtain the diversity graphs and the consistency graph, and for the first time, we combined Laplacian manifold constraints to strengthen the relationship between diversity and consistency while jointly optimizing the diversity graphs and the consistency graph. Additionally, we innovatively combine the diversity graphs and the consistency graph into a tensor and subject it to the constraint of tensor nuclear norm. By doing so, we not only obtain the complete information between multiple views but also enable the mutual learning and mutual enhancement of the diversity graphs and the consistency graph. Finally, by adopting the augmented Lagrange multiplier method, we integrate the two steps into a comprehensive framework. The TDCLM shows a performance enhancement of up to 25.85%, with experimental results across diverse datasets demonstrating that the TDCLM algorithm surpasses the state-of-the-art algorithms. In other words, these experimental results validate the importance of obtaining complete information from multiple views and effectively leveraging the diversity and consistency inherent in this complete information. The code is publicly available at https://github.com/TongWuahpu/TDCLM.
多视图聚类的优势在于能够利用多个视图之间的多样性和一致性,更好地捕捉数据的内在结构。然而,现有的多视图方法将多样性和一致性视为一组对立的属性,忽略了它们之间的内在联系。同时,多视图的完整信息也没有得到充分利用。为了解决这些问题,本文提出了张量多样性和一致性与拉普拉卡流形的多视图聚类方法(TDCLM)。具体来说,我们从原始数据的自表达特性出发,得到了多样性图和一致性图,并首次结合拉普拉卡流形约束来强化多样性和一致性之间的关系,同时对多样性图和一致性图进行了联合优化。此外,我们还创新性地将多样性图和一致性图组合成一个张量,并使其受到张量核规范的约束。通过这种方法,我们不仅获得了多个视图之间的完整信息,还实现了多样性图和一致性图的相互学习和相互增强。最后,通过采用增强拉格朗日乘子方法,我们将这两个步骤整合为一个综合框架。TDCLM 的性能提升高达 25.85%,不同数据集的实验结果表明,TDCLM 算法超越了最先进的算法。换句话说,这些实验结果验证了从多个视图中获取完整信息并有效利用这些完整信息固有的多样性和一致性的重要性。代码可在 https://github.com/TongWuahpu/TDCLM 公开获取。
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引用次数: 0
Formation control of multiagent systems with multileaders through completely distributed intermittent communication strategies 通过完全分布式间歇通信策略实现多领导者多代理系统的编队控制
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-18 DOI: 10.1016/j.ins.2024.121555
Jian Feng , Weizhao Song , Lijuan Xu , Juan Zhang
The distributed time-varying formation (TVF) control problem of multiagent systems (MASs) with multileaders is explored in this research. Contrasted with the existing results, this paper considers the following situations: 1) the multifollower group is heterogeneous, as is the multileader group; 2) the heterogeneous system matrices of the multileaders are not already known to all followers; 3) some strict constraint conditions, such as well-informed follower assumption and virtual leader condition, are removed. This paper presents the event-triggered (ET) matrix observer, the adaptive ET state compensator, and the output-feedback TVF controller, which are constituted as the innovative completely distributed ET control protocol. Considering the limited communication bandwidth, the ET matrix observer and compensator are designed, with the communication-bandwidth-saving manners, to estimate the integrated system matrix and integrated state information of all leader agents, respectively. The output feedback formation controller is built to adjust the followers to keep the predetermined team formations and follow the reference trace, where the trace is all leaders outputs' convex combination. The stability analysis and simulation experiment are brought out to demonstrate the validity of the suggested control strategy.
本研究探讨了多领导者多代理系统(MAS)的分布式时变编队(TVF)控制问题。与现有成果相比,本文考虑了以下情况:1) 多追随者群体是异构的,多领导者群体也是异构的;2) 多领导者的异构系统矩阵并非所有追随者都已知晓;3) 取消了一些严格的约束条件,如知情追随者假设和虚拟领导者条件。本文提出了事件触发(ET)矩阵观测器、自适应 ET 状态补偿器和输出反馈 TVF 控制器,它们构成了创新的完全分布式 ET 控制协议。考虑到有限的通信带宽,ET 矩阵观测器和补偿器以节省通信带宽的方式设计,分别估计所有领导者代理的集成系统矩阵和集成状态信息。建立了输出反馈队形控制器,以调整追随者保持预定的队形并遵循参考轨迹,其中轨迹为所有领导者的输出凸组合。通过稳定性分析和仿真实验证明了建议控制策略的有效性。
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引用次数: 0
Event-triggered bipartite consensus to heterogeneous multiagent systems under DoS attacks: A fully distributed method DoS攻击下异构多代理系统的事件触发式双方位共识:全分布式方法
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-18 DOI: 10.1016/j.ins.2024.121568
Hailong Cui, Guanglei Zhao, Shuang Liu, Zhijie Li
This paper studies event-triggered bipartite output consensus problem of heterogeneous multiagent systems under denial-of-service (DoS) attacks. A novel dynamic event-triggered scheme (DETS) is proposed, which, by introducing an extra dynamic function with time-varying coefficients into triggering conditions, can guarantee strictly positive minimum inter-event intervals no matter DoS attacks occur or not. An event-based resilient compensator with adaptive coupling coefficients is then designed to estimate leader's state, and a hybrid model with jump dynamics is constructed that can incorporate the estimation error, DETS, and DoS attacks, and is useful for convergence analysis. Then, a fully distributed observer-based control protocol is designed to regulate the bipartite output consensus. The main advantages of the proposed method include: 1) global information is not needed to implement the event-based control protocol; 2) strictly positive inter-event intervals are guaranteed even under DoS attacks. Finally, a numerical example is presented to testify the main results.
本文研究了拒绝服务(DoS)攻击下异构多代理系统的事件触发式双向输出共识问题。本文提出了一种新颖的动态事件触发方案(DETS),通过在触发条件中引入一个具有时变系数的额外动态函数,无论 DoS 攻击发生与否,都能保证严格正向的最小事件间隔。然后,设计了一个具有自适应耦合系数的基于事件的弹性补偿器来估计领导者的状态,并构建了一个具有跳跃动力学的混合模型,该模型可以包含估计误差、DETS 和 DoS 攻击,并可用于收敛性分析。然后,设计了一种基于观测器的全分布式控制协议,以调节双向输出共识。所提方法的主要优点包括1) 实现基于事件的控制协议不需要全局信息;2) 即使在 DoS 攻击下也能保证严格的正事件间隔。最后,将通过一个数值示例来验证主要结果。
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引用次数: 0
Safe robust multi-agent reinforcement learning with neural control barrier functions and safety attention mechanism 具有神经控制障碍功能和安全关注机制的安全稳健多代理强化学习
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-18 DOI: 10.1016/j.ins.2024.121567
Shihan Liu, Lijun Liu, Zhen Yu
In this paper, a novel safe robust multi-agent reinforcement learning method integrated with decentralized robust neural control barrier functions (CBFs) and a safety attention mechanism (SAM) is proposed for the safety-critical multi-agent system (MAS). Safety is fundamental in the safety-critical MAS but can be affected by factors such as modeling errors, external unknown disturbances, and time-varying observable agents. Several appropriate measures are implemented to address these issues. First, modeling errors and external disturbances are regarded as an adversary for each agent. The agent learns a policy that is robust to disturbances created by the adversary. Accordingly, decentralized robust neural CBFs are introduced to maintain the safety of the MAS, particularly when the general handcrafted CBFs are difficult to construct. The SAM, in combination with the robust neural CBFs, provides a control policy with the capacity to handle time-varying observable agents and increases its attention to dangerous events. The online fine-tuning procedure further enhances the safety. Finally, experiments demonstrate the safety and effectiveness of the proposed method.
本文针对安全关键型多代理系统(MAS)提出了一种新型安全鲁棒多代理强化学习方法,该方法与分散鲁棒神经控制障碍函数(CBF)和安全注意机制(SAM)相结合。安全是安全关键型多代理系统的基础,但会受到建模错误、外部未知干扰和时变可观测代理等因素的影响。为解决这些问题,我们采取了几种适当的措施。首先,建模错误和外部干扰被视为每个代理的对手。代理学习的策略对对手造成的干扰具有鲁棒性。因此,我们引入了分散式鲁棒神经 CBF,以维护 MAS 的安全性,尤其是在难以构建一般手工 CBF 的情况下。SAM 与鲁棒神经 CBF 相结合,提供了一种控制策略,能够处理时变的可观测代理,并提高对危险事件的关注度。在线微调程序进一步提高了安全性。最后,实验证明了所提方法的安全性和有效性。
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引用次数: 0
PRO-SMOTEBoost: An adaptive SMOTEBoost probabilistic algorithm for rebalancing and improving imbalanced data classification PRO-SMOTEBoost用于重新平衡和改进不平衡数据分类的自适应 SMOTEBoost 概率算法
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-18 DOI: 10.1016/j.ins.2024.121548
Laouni Djafri
In the field of data mining and machine learning, dealing with imbalanced datasets is one of the most complex problems. The class imbalance issue significantly affects the classification of minority classes when using common classification algorithms. These algorithms often prioritize improving the performance of the majority class at the expense of the minority class, leading to misclassifying negative instances as positive ones. To address this problem, the Synthetic Minority Over-sampling Technique (SMOTE) has gained popularity to rebalance imbalanced data for classification. However, in this paper, we propose two algorithms to enhance the performance of imbalanced classification further. The first algorithm is PRO-SMOTE, an improvement over SMOTE. PRO-SMOTE relies on conditional probabilities to effectively rebalance imbalanced classes and improve the predictive performance metrics satisfactorily and reliably. By considering conditional probabilities, PRO-SMOTE can reduce the majority classes and optimally increase the minority class. Second, the PRO-SMOTEBoost algorithm, in turn, is based on the PRO-SMOTE to overcome classification anomalies and problems encountered by machine learning algorithms during classification, especially the weak ones. PRO-SMOTEBoost aims to maximize predictive precision to the greatest extent possible by combining the strengths of PRO-SMOTE with boosting techniques. Evaluating these algorithms using traditional machine learning algorithms such as Random Forests, C4.5, Naive Bayes, and Support Vector Machines has demonstrated excellent classification results. The performance metrics, encompassing F1-score, G-means, Precision, Accuracy, Recall, AUC-ROC, and Precision-Recall-curves, achieved by the proposed algorithm demonstrate a range that extends from over 90% to a flawless score of 100%. Compared to using these traditional algorithms individually, the utilization of PRO-SMOTEBoost has shown a significant improvement of 10% to 40% in performance metrics. Overall, the proposed algorithms, PRO-SMOTE and PRO-SMOTEBoost, offer effective solutions to address the challenges posed by imbalanced datasets. They provide improved predictive metrics and demonstrate their superiority when compared to traditional even modern machine learning algorithms.
在数据挖掘和机器学习领域,处理不平衡数据集是最复杂的问题之一。在使用普通分类算法时,类不平衡问题会严重影响少数类的分类。这些算法通常会优先提高多数类的性能,而牺牲少数类的性能,从而导致误将负实例分类为正实例。为了解决这个问题,合成少数群体过度采样技术(SMOTE)在重新平衡不平衡数据进行分类方面受到了广泛欢迎。不过,在本文中,我们提出了两种算法,以进一步提高不平衡分类的性能。第一种算法是 PRO-SMOTE,是对 SMOTE 的改进。PRO-SMOTE 依靠条件概率来有效地重新平衡不平衡类,并令人满意和可靠地提高预测性能指标。通过考虑条件概率,PRO-SMOTE 可以减少多数类,优化增加少数类。其次,PRO-SMOTEBoost 算法又是在 PRO-SMOTE 的基础上,克服机器学习算法在分类过程中遇到的分类异常和问题,尤其是弱分类问题。PRO-SMOTEBoost 的目标是通过将 PRO-SMOTE 的优势与提升技术相结合,最大限度地提高预测精度。使用随机森林、C4.5、奈夫贝叶斯和支持向量机等传统机器学习算法对这些算法进行评估,结果显示分类效果极佳。拟议算法的性能指标包括 F1 分数、G-means、精确度、准确度、召回率、AUC-ROC 和精确度-召回率曲线,其范围从 90% 以上到 100% 的完美分数。与单独使用这些传统算法相比,PRO-SMOTEBoost 的性能指标显著提高了 10%至 40%。总之,所提出的 PRO-SMOTE 和 PRO-SMOTEBoost 算法为应对不平衡数据集带来的挑战提供了有效的解决方案。与传统甚至现代的机器学习算法相比,它们提供了更好的预测指标,并展示了其优越性。
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引用次数: 0
A data-driven minimum cost consensus model for group decision making with personality traits prediction 数据驱动的最低成本共识模型,用于群体决策与个性特征预测
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-18 DOI: 10.1016/j.ins.2024.121556
Yujia Liu , Yuwei Song , Changyong Liang , Mingshuo Cao , Jian Wu
The minimum cost consensus model (MCCM) proposes an effective method for reaching group consensus in group decision-making problems. Conventional MCCM and its advanced models focus on the different behaviors and psychologies of decision-makers, but, it ignores the heterogeneity of decision-makers that activated them. Therefore, they need to assume the compromise limits and unit adjustment costs of decision-makers, which may be difficult to achieve in practice. To resolve this problem, this study will propose a novel data-driven minimum cost consensus model of different compromise limits and unit costs based on online Big Five personality traits prediction. First, this study uses the Convolutional Neural Network (CNN) and Bi-directional Long-Short Term Memory model (BiLSTM) to obtain the decision-maker's probability of agreeableness based on their Weibo online reviews. Second, a novel minimum cost consensus model considering the decision-maker's personality traits (MCCM-P) is established. To do that, the unit adjustment cost and the personalized compromise limits of decision-makers and their interrelations are defined based on the personality traits prediction. Finally, the MCCM-P is applied in a real group decision-making case study of a university student club activity selection. The result and comparative analysis show that the proposed MCCM model can obtain lower consensus reaching costs than the traditional method.
最低成本共识模型(MCCM)提出了一种在群体决策问题上达成群体共识的有效方法。传统的 MCCM 及其高级模型关注的是决策者的不同行为和心理,但却忽视了决策者的异质性对其的激活作用。因此,它们需要假定决策者的妥协限度和单位调整成本,而这在实践中可能难以实现。为解决这一问题,本研究将基于在线大五人格特质预测,提出一种新颖的数据驱动的不同妥协限度和单位成本的最小成本共识模型。首先,本研究利用卷积神经网络(CNN)和双向长短期记忆模型(BiLSTM),基于决策者的微博在线评论,获取决策者的合意度概率。其次,建立了一种考虑到决策者个性特征的新型最低成本共识模型(MCCM-P)。为此,基于人格特质预测定义了决策者的单位调整成本和个性化妥协限度及其相互关系。最后,将 MCCM-P 应用于大学生社团活动选择的实际群体决策案例研究。结果和对比分析表明,与传统方法相比,所提出的 MCCM 模型能获得更低的共识达成成本。
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引用次数: 0
Integrating granular computing with density estimation for anomaly detection in high-dimensional heterogeneous data 将粒度计算与密度估计相结合,在高维异构数据中进行异常检测
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2024-10-18 DOI: 10.1016/j.ins.2024.121566
Baiyang Chen , Zhong Yuan , Dezhong Peng , Xiaoliang Chen , Hongmei Chen , Yingke Chen
Detecting anomalies in complex data is crucial for knowledge discovery and data mining across a wide range of applications. While density-based methods are effective for handling varying data densities and diverse distributions, they often struggle with accurately estimating densities in heterogeneous, uncertain data and capturing interdependencies among features in high-dimensional spaces. This paper proposes a fuzzy granule density-based anomaly detection algorithm (GDAD) for heterogeneous data. Specifically, GDAD first partitions high-dimensional attributes into subspaces based on their interdependencies and employs fuzzy information granules to represent data. The core of the method is the definition of fuzzy granule density, which leverages local neighborhood information alongside global density patterns and effectively characterizes anomalies in data. Each object is then assigned a fuzzy granule density-based anomaly factor, reflecting its likelihood of being anomalous. Through extensive experimentation on various real-world datasets, GDAD has demonstrated superior performance, matching or surpassing existing state-of-the-art methods. GDAD's integration of granular computing with density estimation provides a practical framework for anomaly detection in high-dimensional heterogeneous data.
检测复杂数据中的异常情况对于知识发现和数据挖掘的广泛应用至关重要。虽然基于密度的方法能有效处理不同的数据密度和多样化分布,但它们往往难以准确估计异构、不确定数据中的密度,也难以捕捉高维空间中特征之间的相互依存关系。本文针对异构数据提出了一种基于模糊颗粒密度的异常检测算法(GDAD)。具体来说,GDAD 首先根据高维属性之间的相互依赖性将其划分为若干子空间,然后采用模糊信息颗粒来表示数据。该方法的核心是模糊颗粒密度的定义,它利用局部邻域信息和全局密度模式,有效地描述数据中的异常情况。然后为每个对象分配一个基于模糊颗粒密度的异常因子,以反映其异常的可能性。通过在各种真实数据集上的广泛实验,GDAD 显示出卓越的性能,与现有的先进方法不相上下,甚至有过之而无不及。GDAD 将颗粒计算与密度估计相结合,为高维异构数据的异常检测提供了一个实用的框架。
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