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Geodesic fuzzy rough sets based on overlap functions and its applications in feature extraction 基于重叠函数的测地线模糊粗糙集及其在特征提取中的应用
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-23 DOI: 10.1016/j.ins.2025.122224
Chengxi Jian , Junsheng Qiao , Shan He
As one of the current hot topics, feature extraction techniques have been widely studied, with the aim of selecting important and distinctive feature subsets from the original data to realize data dimensionality reduction. However, current feature extraction techniques lack the consideration of complex manifold structures in high-dimensional data, thus failing to fully exploit the information value of the data. To solve this problem, we introduce overlap functions (an emerging class of commonly used information aggregation functions with a wide range of applications) into the geodesic fuzzy rough set model and propose a new model named OKGFRS, which can effectively capture the potential manifold structures in high-dimensional data and deal with the imbalanced data. On this basis, we design a new discriminative feature extraction algorithm to improve the discriminative performance of feature extraction and to solve the problems such as poor distinguishing ability of features. After experimental verification, the algorithm demonstrates good classification performance.
特征提取技术作为当前研究的热点之一,得到了广泛的研究,其目的是从原始数据中选取重要的、有特色的特征子集,实现数据降维。然而,目前的特征提取技术缺乏对高维数据中复杂流形结构的考虑,未能充分挖掘数据的信息价值。为了解决这一问题,我们将重叠函数(一种新兴的、应用广泛的信息聚合函数)引入到测地线模糊粗糙集模型中,提出了一种新的OKGFRS模型,该模型可以有效地捕捉高维数据中潜在的流形结构,并处理不平衡数据。在此基础上,我们设计了一种新的判别特征提取算法,以提高特征提取的判别性能,解决特征识别能力差等问题。经过实验验证,该算法具有良好的分类性能。
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引用次数: 0
A multiobjective edge-based learning algorithm for the vehicle routing problem with time windows 带时间窗车辆路径问题的多目标边缘学习算法
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-23 DOI: 10.1016/j.ins.2025.122223
Ying Zhou , Lingjing Kong , Hui Wang
The multiobjective vehicle routing problem with time windows has attracted much attention in recent decades. Until now, various metaheuristic methods have been proposed to solve the problem. However, designing effective methods is not trivial and heavily depends on experts' knowledge. As a research hotspot in recent years, a few deep reinforcement learning methods have been tried to solve the multiobjective vehicle routing problem with symmetric distance and time matrices. However, due to the complex traffic conditions, the travel distance and time between two nodes are probably asymmetric in real-world scenarios. This article introduces a multiobjective edge-based learning algorithm (MOEL) to tackle this issue. In this method, a single neural network model is established and trained to approximate the whole Pareto front of the problem. The edge features, including travel distance and time matrices, are fully learned and used to construct high-quality solutions. MOEL is compared against three state-of-the-art deep reinforcement learning methods (MODRL/D-EL, PMOCO, EMNH) and five metaheuristic methods (NSGA-II, MOEA/D, NSGA-III, MOEA/D-D, MOIA). Experimental results on the real-world instances indicate that MOEL significantly outperforms all competitors, improving IGD by up to 99.80% and HV by up to 62.84%. In addition, MOEL achieves a maximum runtime reduction of 88.65% compared to the deep reinforcement learning methods, highlighting its efficiency and effectiveness for solving the problem.
带时间窗的多目标车辆路径问题是近几十年来备受关注的问题。到目前为止,已经提出了各种各样的元启发式方法来解决这个问题。然而,设计有效的方法并非易事,在很大程度上取决于专家的知识。深度强化学习是近年来的一个研究热点,人们尝试了几种深度强化学习方法来解决具有对称距离和时间矩阵的多目标车辆路径问题。然而,由于复杂的交通条件,在现实场景中,两个节点之间的行驶距离和时间可能是不对称的。本文介绍了一种基于边缘的多目标学习算法(MOEL)来解决这一问题。该方法通过对单个神经网络模型进行训练来逼近问题的整个Pareto前。边缘特征,包括旅行距离和时间矩阵,被充分学习并用于构造高质量的解。将模型与三种最先进的深度强化学习方法(MODRL/D- el, PMOCO, EMNH)和五种元启发式方法(NSGA-II, MOEA/D, NSGA-III, MOEA/D-D, MOIA)进行比较。实际实例的实验结果表明,该模型显著优于所有竞争对手,其IGD和HV分别提高了99.80%和62.84%。此外,与深度强化学习方法相比,MOEL最大运行时间减少了88.65%,突出了其解决问题的效率和有效性。
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引用次数: 0
Towards undetectable adversarial attack on time series classification 针对时间序列分类的不可检测对抗性攻击
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-23 DOI: 10.1016/j.ins.2025.122216
Hoki Kim , Yunyoung Lee , Woojin Lee , Jaewook Lee
Although deep learning models have shown superior performance for time series classification, prior studies have recently discovered that small perturbations can fool various time series models. This vulnerability poses a serious threat that can cause malfunctions in real-world systems, such as Internet-of-Things (IoT) devices and industrial control systems. To defend these systems against adversarial time series, recent studies have proposed a detection method using time series characteristics. In this paper, however, we reveal that this detection-based defense can be easily circumvented. Through an extensive investigation into existing adversarial attacks and generated adversarial time series examples, we discover that they tend to ignore the trends in local areas and add excessive noise to the original examples. Based on the analyses, we propose a new adaptive attack, called trend-adaptive interval attack (TIA), that generates a hardly detectable adversarial time series by adopting trend-adaptive loss and gradient-based interval selection. Our experiments demonstrate that the proposed method successfully maintains the important features of the original time series and deceives diverse time series models without being detected.
虽然深度学习模型在时间序列分类方面表现出了优越的性能,但最近的研究发现,微小的扰动可以欺骗各种时间序列模型。此漏洞构成严重威胁,可能导致现实世界系统(如物联网(IoT)设备和工业控制系统)发生故障。为了保护这些系统免受对抗时间序列的影响,最近的研究提出了一种使用时间序列特征的检测方法。然而,在本文中,我们揭示了这种基于检测的防御可以很容易地绕过。通过对现有对抗性攻击和生成的对抗性时间序列示例的广泛调查,我们发现它们往往忽略局部区域的趋势,并在原始示例中添加过多的噪声。在此基础上,我们提出了一种新的自适应攻击,即趋势自适应区间攻击(TIA),它采用趋势自适应损失和基于梯度的区间选择来产生难以检测的对抗时间序列。实验结果表明,该方法能够很好地保持原始时间序列的重要特征,并在不被检测到的情况下欺骗各种时间序列模型。
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引用次数: 0
Multi-label feature selection for imbalanced data via KNN-based multi-label rough set theory 基于knn的多标签粗糙集理论的不平衡数据多标签特征选择
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-23 DOI: 10.1016/j.ins.2025.122220
Weihua Xu, Yuzhe Li
In the realm of multi-label feature selection, the intricacy of data structures and semantics has been escalating, rendering traditional single-label feature selection methodologies inadequate for contemporary demands to meet contemporary demands. This manuscript introduces an innovative neighborhood rough set model that integrates δ-neighborhood rough sets with k-nearest neighbor techniques, facilitating a transition from single-label to multi-label learning frameworks. The study delves into the attribute dependency concept within rough set theory and proposes a novel importance function based thereon, which can effectively quantify the significance of features within multi-label decision-making contexts. Building on this theoretical foundation, we have crafted a feature selection algorithm specifically tailored for imbalanced datasets. Extensive experiments conducted on 12 datasets, coupled with comparative analyses with 10 cutting-edge methods, have substantiated the superior performance of our algorithm in managing imbalanced datasets. This research not only offers a fresh theoretical perspective but also has significant practical implications, particularly in scenarios involving imbalanced datasets with multiple labels.
在多标签特征选择领域,数据结构和语义的复杂性不断升级,使得传统的单标签特征选择方法无法满足当前的需求。本文介绍了一种创新的邻域粗糙集模型,该模型集成了δ邻域粗糙集和k近邻技术,促进了从单标签到多标签学习框架的过渡。研究了粗糙集理论中的属性依赖概念,并在此基础上提出了一种新的重要度函数,该函数可以有效地量化多标签决策环境下特征的重要度。在这个理论基础上,我们设计了一个专门针对不平衡数据集的特征选择算法。在12个数据集上进行了大量的实验,并与10种前沿方法进行了比较分析,结果表明我们的算法在管理不平衡数据集方面具有优越的性能。该研究不仅提供了一个新的理论视角,而且具有重要的实际意义,特别是在涉及多个标签的不平衡数据集的情况下。
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引用次数: 0
Learning-boosted intelligent frequency control of multi-area Markov jumping power system via multiplayer Stackelberg-Nash game 基于Stackelberg-Nash博弈的多区域马尔可夫跳变电力系统学习推进智能频率控制
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-22 DOI: 10.1016/j.ins.2025.122218
Yuzhuo Zhang , Mengzhuo Luo , Jun Cheng , Huaicheng Yan , Kaibo Shi
This paper proposes an intelligent frequency control (IFC) scheme integrating multiple strategies, which aims to address the frequency control challenges of multi-area Markov jumping power systems (MMJPSs) under load fluctuations and external disturbances. Firstly, the Markov superposition technique is employed to conduct refined modeling on the system component matrices, precisely capturing the diversity of load operating states. Secondly, within the framework of the multiplayer Stackelberg-Nash game (MSNG), the load aggregator (LA) is set as the leader and the turbines in each area are regarded as the followers. By constructing the value functions of the leader and the followers, the dynamic process of hierarchical decision-making is elaborately depicted. Meanwhile, an adaptive event-triggered mechanism (AETM) is designed to alleviate the computational and communication burdens. On this basis, by combining the integral reinforcement learning (IRL) algorithm with the neural network (NN), the Hamilton-Jacobi-Bellman (HJB) equation based on the AETM is solved to obtain the approximately optimal control law and achieve the Stackelberg-Nash equilibrium (SNE). Utilizing Lyapunov stability theory, the uniform ultimate boundedness (UUB) of the system states and the NN weight errors is rigorously proved. Finally, comparative simulation results validate the effectiveness and practicality of the proposed method.
针对多区域马尔可夫跳变电力系统在负荷波动和外界干扰下的频率控制问题,提出了一种集成多种策略的智能频率控制方案。首先,利用马尔可夫叠加技术对系统组件矩阵进行精细化建模,精确捕捉负荷运行状态的多样性;其次,在多人Stackelberg-Nash博弈(MSNG)框架下,将负荷聚合器(LA)作为领导者,将各区域的涡轮机作为追随者;通过构建领导者和追随者的价值函数,详细描述了层级决策的动态过程。同时,设计了一种自适应事件触发机制(AETM)来减轻计算和通信负担。在此基础上,将积分强化学习(IRL)算法与神经网络(NN)相结合,求解基于AETM的Hamilton-Jacobi-Bellman (HJB)方程,得到近似最优控制律,实现Stackelberg-Nash均衡(SNE)。利用李雅普诺夫稳定性理论,严格证明了系统状态和神经网络权值误差的一致最终有界性。最后,对比仿真结果验证了所提方法的有效性和实用性。
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引用次数: 0
Deep unsupervised clustering by information maximization on Gaussian mixture autoencoders 基于信息最大化的高斯混合自编码器深度无监督聚类
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-22 DOI: 10.1016/j.ins.2025.122215
Peng Wu , Li Pan
Clustering has been extensively studied in data mining and machine learning, with numerous applications across domains. In this paper, we propose the Gaussian Mixture Autoencoder (GMAE), a deep clustering method that integrates a probabilistic Autoencoder (AE) with a Gaussian Mixture Model (GMM). GMAE trains the GMM to model the latent representation distribution of the AE and further regularizes the aggregated posterior distribution by minimizing a KL divergence-based loss. To prevent degenerate solutions and enhance clustering performance, a negative mutual information loss is introduced in the model. Additionally, a package of strategies, including an initialization method, an adjusted loss function and an alternating iterative method, is designed to optimize the loss function effectively. Beyond clustering, GMAE can generate diverse, realistic samples for any target cluster, as it trains a decoder with reconstruction loss and adopts the GMM to regularize the latent representation distribution. Experiments on five cross-domain benchmarks demonstrate superior performance over state-of-the-art clustering methods.
聚类在数据挖掘和机器学习中得到了广泛的研究,在各个领域都有大量的应用。本文提出了高斯混合自编码器(GMAE),这是一种将概率自编码器(AE)与高斯混合模型(GMM)相结合的深度聚类方法。GMAE训练GMM来模拟声发射的潜在表示分布,并通过最小化基于KL散度的损失进一步正则化聚合后验分布。为了防止退化解和提高聚类性能,在模型中引入了负互信息损失。此外,设计了一套策略,包括初始化方法、调整损失函数和交替迭代方法,以有效地优化损失函数。除了聚类之外,GMAE可以为任何目标聚类生成多样化的、真实的样本,因为它训练了一个具有重构损失的解码器,并采用GMM对潜在表示分布进行正则化。在五个跨领域基准测试上的实验证明了优于最先进的聚类方法的性能。
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引用次数: 0
Hesitant multiplicative best and worst method for multi-criteria group decision making 多准则群体决策的犹豫乘法最佳和最差方法
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-21 DOI: 10.1016/j.ins.2025.122214
Shu-Ping Wan , Xi-Nuo Chen , Jiu-Ying Dong , Yu Gao
Best-worst method (BWM) has been extended in various uncertain scenarios owing to fewer comparisons and better reliability. This article utilizes hesitant multiplicative (HM) sets (HMSs) to express reference comparisons (RCs) and develops a novel HM BWM (HMBWM). We first define the multiplicative consistency for HM preference relation (HMPR). A fast and effective approach is designed to derive the priority weights (PWs) from an HMPR. To extend BW into HMPR, the score value of each criterion is computed to identify the best and worst criteria. Then, the PWs are acquired through constructing a 0–1 mixed goal programming model based on the HM RCs (HMRCs). The consistency ratio is given to judge the multiplicative consistency of HMRCs. An approach is proposed to enhance the consistency when the HMRCs are unacceptably consistent. Thereby, a novel HMBWM is proposed. On basis of HMBWM, this article further develops a novel method for group decision making (GDM) with HMPRs. The decision makers’ weights are determined by consistency ratio and the group PWs of alternatives are obtained by minimum relative entropy model. Four examples show that HMBWM possesses higher consistency and the proposed GDM method has stronger distinguishing ability, less computation workload and fewer modifications of elements.
最佳-最差方法(Best-worst method, BWM)由于较少的比较和较高的可靠性,在各种不确定情况下得到了推广。本文利用犹豫乘集(hms)来表达参考比较(RCs),并提出了一种新的犹豫乘集(HMBWM)。首先定义了HM偏好关系(HMPR)的乘法一致性。设计了一种快速有效的从HMPR中获得优先级权重的方法。为了将体重扩展到HMPR,计算每个标准的得分值,以确定最佳和最差标准。然后,通过构建基于HM rc (HMRCs)的0-1混合目标规划模型来获取pw。给出了一致性比来判断HMRCs的乘法一致性。当hmrc的一致性不可接受时,提出了一种方法来增强一致性。因此,提出了一种新的HMBWM。在HMBWM的基础上,进一步提出了一种基于HMBWM的群体决策方法。通过一致性比确定决策者的权重,通过最小相对熵模型获得备选方案的群体pw。四个算例表明,HMBWM具有较高的一致性,所提出的GDM方法具有较强的区分能力、较少的计算量和较少的元素修改。
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引用次数: 0
Enhanced classification of motor imagery EEG signals using spatio-temporal representations 基于时空表征的运动图像脑电信号增强分类
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-20 DOI: 10.1016/j.ins.2025.122221
Renjie Lv , Wenwen Chang , Guanghui Yan , Muhammad Tariq Sadiq , Wenchao Nie , Lei Zheng
Deep learning has shown promising results in motor imagery brain-computer interfaces. However, most existing methods fail to account for the topological relationships between electrodes and the nonlinear features of electroencephalogram (EEG) signals. To address this, we propose a model combining Gramian Angular Fields (GAF) and Phase-Locking Value (PLV) with a parallel convolutional neural network (CNN). GAF captures time-domain nonlinear features, while PLV represents spatial features based on electrode topology. Comparative experiments between the end-to-end parallel CNN model and the model with spatiotemporal feature representation demonstrate that considering both time-domain correlations and electrode topology significantly enhances model performance. Furthermore, when separately evaluating the temporal and spatial features of EEG signals, the results confirm that jointly considering spatiotemporal features leads to a substantial improvement. On the Physionet dataset, our model achieves an accuracy of 99.73% in binary classification tasks and 83.37% in four-class classification tasks, showing improvement over the comparison algorithms used in the paper.
深度学习在运动图像脑机接口方面显示出了令人鼓舞的成果。然而,大多数现有的方法都没有考虑到电极之间的拓扑关系和脑电图信号的非线性特征。为了解决这个问题,我们提出了一个将格拉曼角场(GAF)和锁相值(PLV)与并行卷积神经网络(CNN)相结合的模型。GAF捕获时域非线性特征,而PLV表示基于电极拓扑的空间特征。端到端并行CNN模型与时空特征表示模型的对比实验表明,同时考虑时域相关性和电极拓扑可以显著提高模型的性能。此外,当单独评估脑电信号的时空特征时,结果证实了联合考虑时空特征可以显著改善脑电信号的识别效果。在Physionet数据集上,我们的模型在二元分类任务中达到99.73%的准确率,在四类分类任务中达到83.37%的准确率,比本文使用的比较算法有所提高。
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引用次数: 0
Foundational theories of hesitant fuzzy sets and hesitant fuzzy information systems and their applications for multi-strength intelligent classifiers 犹豫模糊集和犹豫模糊信息系统的基本理论及其在多强度智能分类器中的应用
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-18 DOI: 10.1016/j.ins.2025.122212
Shizhan Lu , Zeshui Xu , Zhu Fu , Longsheng Cheng , Tongbin Yang
Hesitant fuzzy sets find extensive application in specific scenarios involving uncertainty and hesitation. In the context of set theory, the concept of inclusion relationship holds significant importance as a fundamental definition. Consequently, as a type of sets, hesitant fuzzy sets necessitate a clear and explicit definition of the inclusion relationship. Based on the discrete form of hesitant fuzzy membership degrees, this study proposes multiple types of inclusion relationships for hesitant fuzzy sets. Subsequently, this paper introduces foundational propositions related to hesitant fuzzy sets, as well as propositions concerning families of hesitant fuzzy sets. Furthermore, this research presents foundational propositions regarding parameter reduction of hesitant fuzzy information systems. An example and an algorithm are provided to demonstrate the parameter reduction processes. Lastly, a multi-strength intelligent classifier is proposed for diagnosing the health states of complex systems.
犹豫模糊集在涉及不确定性和犹豫的特定场景中有着广泛的应用。在集合论的背景下,包含关系的概念作为一个基本定义具有重要意义。因此,犹豫模糊集作为集合的一类,需要明确定义包含关系。基于犹豫模糊隶属度的离散形式,提出了犹豫模糊集的多种包含关系。随后,介绍了与犹豫模糊集相关的基本命题,以及关于犹豫模糊集族的命题。在此基础上,提出了犹豫模糊信息系统参数约简的基本命题。给出了一个示例和算法来演示参数约简过程。最后,提出了一种用于复杂系统健康状态诊断的多强度智能分类器。
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引用次数: 0
Identifying influential nodes based on hybrid centrality of receivers in the second-order dissemination 基于二阶传播中接收者混合中心性的影响节点识别
IF 8.1 1区 计算机科学 0 COMPUTER SCIENCE, INFORMATION SYSTEMS Pub Date : 2025-04-18 DOI: 10.1016/j.ins.2025.122208
Yu Wang, Wei Chen
Hybrid models for influential node identification have gained attention for integrating local, semilocal, and global information. These models regularly use location to account for global information, however, seldom take further consideration of the nonlinear feedback contribution and non-redundant bridging ability. In information dissemination, the nonlinear feedback contribution can enhance information reliability through diverse feedback validation, and the non-redundant bridging ability can foster broad access and allocation of heterogeneous information by connecting multiple independent nodes. Additionally, most hybrid models overlook centrality of receivers in the second-order dissemination, which can affect the scope and speed of information dissemination. Moreover, identification of bottom ranked nodes is often ignored, despite that the optimization of these nodes can enhance network efficiency. This work presents a novel hybrid model that incorporates hybrid centrality of receivers in the second-order dissemination. Specifically, hybrid centrality is formulated by simultaneously considering the location, nonlinear feedback contribution, and non-redundant bridging ability. Receivers in the second-order dissemination are then collected, and node importance is determined based on their hybrid centrality. Extensive experiments on 9 real-world and 3 synthetic networks show that our model outperforms state-of-the-art models in node ranking, top-k and bottom-k nodes identification. Robustness is also validated via varying infection probabilities.
影响节点识别的混合模型由于集成了局部、半局部和全局信息而受到关注。这些模型通常使用位置来解释全局信息,但很少进一步考虑非线性反馈贡献和非冗余桥接能力。在信息传播中,非线性反馈贡献可以通过多样化的反馈验证来提高信息的可靠性,非冗余桥接能力可以通过连接多个独立节点来促进异构信息的广泛访问和分配。此外,大多数混合模型在二阶传播中忽略了接收者的中心性,这会影响信息传播的范围和速度。此外,尽管对这些节点进行优化可以提高网络效率,但对排名靠后的节点的识别往往被忽略。这项工作提出了一种新的混合模型,该模型在二阶传播中包含了接收器的混合中心性。具体来说,混合中心性是通过同时考虑位置、非线性反馈贡献和非冗余桥接能力而形成的。然后收集二阶传播中的接收者,并根据其混合中心性确定节点重要性。在9个真实网络和3个合成网络上进行的大量实验表明,我们的模型在节点排名、top-k和bottom-k节点识别方面优于最先进的模型。鲁棒性也通过不同的感染概率来验证。
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引用次数: 0
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