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Cross-Feature Interactive Tabular Data Modeling With Multiplex Graph Neural Networks 利用多重图神经网络进行跨特征交互式表格数据建模
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-08 DOI: 10.1109/TKDE.2024.3440654
Mang Ye;Yi Yu;Ziqin Shen;Wei Yu;Qingyan Zeng
The rising popularity of tabular data in data science applications has led to a surge of interest in utilizing deep neural networks (DNNs) to address tabular problems. Existing deep neural network methods are not effective in handling two fundamental challenges that are inherent in tabular data: permutation invariance (where the labels remain unchanged regardless of element order) and local dependency (where predictive labels are solely determined by local features). Furthermore, given the inherent heterogeneity among elements in tabular data, effectively capturing heterogeneous feature interactions remains unresolved. In this paper, we propose a novel Multiplex Cross-Feature Interaction Network (MPCFIN) by explicitly and systematically modeling feature relations with interactive graph neural networks. Specifically, MPCFIN first learns the most relevant features associated with individual features, and merges them to form cross-feature embedding. Subsequently, we design a multiplex graph neural network to learn enhanced representation for each sample. Comprehensive experiments on seven datasets demonstrate that MPCFIN exhibits superior performance over deep neural network methods in modeling the tabular data, showcasing consistent interpretability in its cross-feature embedding module for medical diagnosis applications.
随着表格数据在数据科学应用中的日益普及,人们对利用深度神经网络(DNN)解决表格问题的兴趣大增。现有的深度神经网络方法无法有效处理表格数据固有的两个基本挑战:排列不变性(无论元素顺序如何,标签都保持不变)和局部依赖性(预测标签完全由局部特征决定)。此外,鉴于表格数据中元素之间固有的异质性,有效捕捉异质性特征交互的问题仍未得到解决。在本文中,我们提出了一种新颖的多重交叉特征交互网络(MPCFIN),通过交互式图神经网络对特征关系进行明确而系统的建模。具体来说,MPCFIN 首先学习与单个特征相关的最相关特征,并将它们合并形成交叉特征嵌入。随后,我们设计一个多重图神经网络来学习每个样本的增强表示。在七个数据集上进行的综合实验表明,MPCFIN 在表格式数据建模方面的性能优于深度神经网络方法,其交叉特征嵌入模块在医疗诊断应用中展示了一致的可解释性。
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引用次数: 0
Efficient and Private Federated Trajectory Matching 高效和私有的联合轨迹匹配
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-08 DOI: 10.1109/TKDE.2024.3424411
Yuxiang Wang;Yuxiang Zeng;Shuyuan Li;Yuanyuan Zhang;Zimu Zhou;Yongxin Tong
Federated Trajectory Matching (FTM) is gaining increasing importance in big trajectory data analytics, supporting diverse applications such as public health, law enforcement, and emergency response. FTM retrieves trajectories that match with a query trajectory from a large-scale trajectory database, while safeguarding the privacy of trajectories in both the query and the database. A naive solution to FTM is to process the query through Secure Multi-party Computation (SMC) across the entire database, which is inherently secure yet inevitably slow due to the massive secure operations. A promising acceleration strategy is to filter irrelevant trajectories from the database based on the query, thus reducing the SMC operations. However, a key challenge is how to publish the query in a way that both preserves privacy and enables efficient trajectory filtering. In this paper, we design ${sf GIST}$, a novel framework for efficient Federated Trajectory Matching. ${sf GIST}$ is grounded in Geo-Indistinguishability, a privacy criterion dedicated to locations. It employs a new privacy mechanism for the query that facilitates efficient trajectory filtering. We theoretically prove the privacy guarantee of the mechanism and the accuracy of the filtering strategy of ${sf GIST}$. Extensive evaluations on five real datasets show that ${sf GIST}$ is significantly faster and incurs up to 2 orders of magnitude lower communication cost than the state-of-the-arts.
联合轨迹匹配(Federated Trajectory Matching,FTM)在大轨迹数据分析中的重要性与日俱增,为公共卫生、执法和应急响应等各种应用提供支持。FTM 从大规模轨迹数据库中检索与查询轨迹相匹配的轨迹,同时保护查询和数据库中轨迹的隐私。FTM 的一个简单解决方案是在整个数据库中通过安全多方计算(SMC)处理查询,这种方法本质上是安全的,但由于需要进行大量安全操作,速度不可避免地会很慢。一种有前途的加速策略是根据查询从数据库中过滤不相关的轨迹,从而减少 SMC 运算。然而,一个关键的挑战是如何以一种既能保护隐私又能实现高效轨迹过滤的方式发布查询。在本文中,我们设计了${sf GIST}$--一种高效的联合轨迹匹配(Federated Trajectory Matching)新框架。${sf GIST}$以地理可区分性(Geo-Indistinguishability)为基础,这是一种专门针对位置的隐私标准。它采用了一种新的隐私查询机制,有助于高效的轨迹过滤。我们从理论上证明了该机制的隐私保证和 ${sf GIST}$ 过滤策略的准确性。在五个真实数据集上进行的广泛评估表明,${sf GIST}$的速度明显快于同行,通信成本也比同行低两个数量级。
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引用次数: 0
Enhancing Precision Drug Recommendations via In-Depth Exploration of Motif Relationships 通过深入探讨基因组关系加强精准药物推荐
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-07 DOI: 10.1109/TKDE.2024.3437775
Chuang Zhao;Hongke Zhao;Xiaofang Zhou;Xiaomeng Li
Making accurate and safe clinical decisions for patients has long been a challenging task. With the proliferation of electronic health records and the rapid advancement of technology, drug recommender systems have emerged as invaluable aids for healthcare professionals, offering precise and secure prescriptions. Among prevailing methods, the exploration of motifs, defined as substructures with specific biological functions, has largely been overlooked. Nevertheless, the substantial impact of the motifs on drug efficacy and patient diseases implies that a more extensive incorporation could potentially improve the recommender systems. In light of this, we introduce DEPOT, an innovative drug recommendation framework developed from a motif-aware perspective. In our approach, we employ chemical decomposition to partition drug molecules into semantic motif-trees and design a structure-aware graph transformer to capture motif collaboration. This innovative practice preserves the topology knowledge and facilitates perception of drug functionality. To delve into the dynamic correlation between motifs and disease progression, we conduct a meticulous investigation from two perspectives: repetition and exploration. This comprehensive analysis allows us to gain valuable insights into the drug turnover, with the former focusing on reusability and the latter on discovering new requirements. We further formulate a historical weighting strategy for drug-drug interaction (DDI) objective, enabling adaptive control over the trade-off between accuracy and safety criteria throughout the training process. Extensive experiments conducted on four data sets validate the effectiveness and robustness of DEPOT.
长期以来,为患者做出准确、安全的临床决策一直是一项具有挑战性的任务。随着电子健康记录的普及和技术的飞速发展,药物推荐系统应运而生,为医护人员提供了宝贵的辅助工具,能够准确、安全地开具处方。在现有的方法中,对主题(被定义为具有特定生物功能的子结构)的探索在很大程度上被忽视了。然而,主题结构对药物疗效和患者疾病的重大影响意味着,更广泛地纳入主题结构有可能改善推荐系统。有鉴于此,我们推出了 DEPOT,一个从主题识别角度开发的创新药物推荐框架。在我们的方法中,我们采用化学分解法将药物分子划分为语义主题树,并设计了结构感知图转换器来捕捉主题协作。这种创新做法既保留了拓扑知识,又促进了对药物功能的感知。为了深入研究主题与疾病进展之间的动态关联,我们从重复和探索两个角度进行了细致的调查。通过这种全面的分析,我们获得了关于药物更替的宝贵见解,前者侧重于可重用性,后者侧重于发现新的需求。我们进一步为药物相互作用(DDI)目标制定了历史加权策略,从而在整个训练过程中对准确性和安全性标准之间的权衡进行自适应控制。在四个数据集上进行的广泛实验验证了 DEPOT 的有效性和鲁棒性。
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引用次数: 0
Online Learning of Temporal Association Rule on Dynamic Multivariate Time Series Data 动态多变量时间序列数据时序关联规则的在线学习
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-05 DOI: 10.1109/TKDE.2024.3438259
Guoliang He;Dawei Jin;Lifang Dai;Xin Xin;Zhiwen Yu;C. L. Philip Chen
Recently, rule-based classification on multivariate time series (MTS) data has gained lots of attention, which could improve the interpretability of classification. However, state-of-the-art approaches suffer from three major issues. 1) few existing studies consider temporal relations among features in a rule, which could not adequately express the essential characteristics of MTS data. 2) due to the concept drift and time warping of MTS data, traditional methods could not mine essential characteristics of MTS data. 3) existing online learning algorithms could not effectively update shapelet-based temporal association rules of MTS data due to its temporal relationships among features of different variables. To handle these issues, we propose an online learning method for temporal association rule on dynamically collected MTS data (OTARL). First, a new type of rule named temporal association rule is defined and mined to represent temporal relationships among features in a rule. Second, an online learning mechanism with a probability correlation-based evaluation criterion is proposed to realize the online learning of temporal association rules on dynamically collected MTS data. Finally, an ensemble classification approach based on maximum-likelihood estimation is advanced to further enhance the classification performance. We conduct experiments on ten real-world datasets to verify the effectiveness and efficiency of our approach.
最近,基于规则的多变量时间序列(MTS)数据分类受到了广泛关注,它可以提高分类的可解释性。然而,最先进的方法存在三个主要问题。1)现有研究很少考虑规则中特征之间的时间关系,这无法充分表达 MTS 数据的基本特征。2)由于 MTS 数据的概念漂移和时间扭曲,传统方法无法挖掘 MTS 数据的本质特征。3)由于 MTS 数据中不同变量特征之间的时间关系,现有的在线学习算法无法有效更新基于 shapelet 的 MTS 数据时间关联规则。为了解决这些问题,我们提出了一种动态收集 MTS 数据时空关联规则在线学习方法(OTARL)。首先,我们定义并挖掘了一种名为 "时间关联规则 "的新型规则,用于在规则中表示特征之间的时间关系。其次,提出了一种基于概率相关性评价标准的在线学习机制,以实现在动态收集的 MTS 数据上在线学习时空关联规则。最后,我们提出了一种基于最大似然估计的集合分类方法,以进一步提高分类性能。我们在十个真实世界数据集上进行了实验,以验证我们方法的有效性和效率。
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引用次数: 0
Shapley Value Approximation Based on Complementary Contribution 基于互补贡献的夏普利值近似法
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-05 DOI: 10.1109/TKDE.2024.3438213
Qiheng Sun;Jiayao Zhang;Jinfei Liu;Li Xiong;Jian Pei;Kui Ren
Shapley value provides a unique way to fairly assess each player's contribution in a coalition and has enjoyed many applications. However, the exact computation of Shapley value is #P-hard due to the combinatoric nature of Shapley value. Many existing applications of Shapley value are based on Monte-Carlo approximation, which requires a large number of samples and the assessment of utility on many coalitions to reach high-quality approximation, and thus is still far from being efficient. Can we achieve an efficient approximation of Shapley value by smartly obtaining samples? In this paper, we treat the sampling approach to Shapley value approximation as a stratified sampling problem. Our main technical contributions are a novel stratification design and a sampling method based on Neyman allocation. Moreover, computing the Shapley value in a dynamic setting, where new players may join the game and others may leave it poses an additional challenge due to the considerable cost of recomputing from scratch. To tackle this issue, we propose to capture changes in Shapley value, making our approaches applicable to scenarios with dynamic players. Experimental results on several real data sets and synthetic data sets demonstrate the effectiveness and efficiency of our approaches.
夏普利值提供了一种独特的方法来公平地评估联盟中每个玩家的贡献,并得到了广泛的应用。然而,由于夏普利值的组合性质,精确计算夏普利值是 #P 难的。夏普利值的许多现有应用都是基于蒙特卡洛近似法,这种方法需要大量样本和对许多联盟的效用进行评估才能达到高质量的近似,因此离高效还很远。我们能否通过巧妙地获取样本来实现 Shapley 值的高效逼近呢?本文将 Shapley 值近似的抽样方法视为分层抽样问题。我们的主要技术贡献是一种新颖的分层设计和基于奈曼分配的抽样方法。此外,在动态环境中,新玩家可能会加入游戏,其他玩家也可能会退出游戏,在这种情况下计算夏普利值会带来额外的挑战,因为从头开始重新计算的成本相当高。为了解决这个问题,我们建议捕捉夏普利值的变化,使我们的方法适用于有动态玩家的场景。在多个真实数据集和合成数据集上的实验结果证明了我们方法的有效性和效率。
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引用次数: 0
Robustness-Reinforced Knowledge Distillation With Correlation Distance and Network Pruning 利用相关距离和网络剪枝进行鲁棒性强化知识提炼
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-05 DOI: 10.1109/TKDE.2024.3438074
Seonghak Kim;Gyeongdo Ham;Yucheol Cho;Daeshik Kim
The improvement in the performance of efficient and lightweight models (i.e., the student model) is achieved through knowledge distillation (KD), which involves transferring knowledge from more complex models (i.e., the teacher model). However, most existing KD techniques rely on Kullback-Leibler (KL) divergence, which has certain limitations. First, if the teacher distribution has high entropy, the KL divergence's mode-averaging nature hinders the transfer of sufficient target information. Second, when the teacher distribution has low entropy, the KL divergence tends to excessively focus on specific modes, which fails to convey an abundant amount of valuable knowledge to the student. Consequently, when dealing with datasets that contain numerous confounding or challenging samples, student models may struggle to acquire sufficient knowledge, resulting in subpar performance. Furthermore, in previous KD approaches, we observed that data augmentation, a technique aimed at enhancing a model's generalization, can have an adverse impact. Therefore, we propose a Robustness-Reinforced Knowledge Distillation (R2KD) that leverages correlation distance and network pruning. This approach enables KD to effectively incorporate data augmentation for performance improvement. Extensive experiments on various datasets, including CIFAR-100, FGVR, TinyImagenet, and ImageNet, demonstrate our method's superiority over current state-of-the-art methods.
高效轻量级模型(即学生模型)性能的提高是通过知识提炼(KD)实现的,其中涉及从更复杂的模型(即教师模型)中转移知识。然而,大多数现有的 KD 技术都依赖于 Kullback-Leibler (KL) 发散,这有一定的局限性。首先,如果教师分布具有较高的熵,KL 发散的模平均性质就会阻碍目标信息的充分传递。其次,当教师分布的熵值较低时,KL发散往往会过度关注特定模式,从而无法向学生传递大量有价值的知识。因此,在处理包含大量混淆样本或挑战样本的数据集时,学生模型可能难以获得足够的知识,导致性能不佳。此外,在以往的 KD 方法中,我们发现数据增强(一种旨在增强模型泛化能力的技术)可能会产生不利影响。因此,我们提出了一种利用相关距离和网络剪枝的稳健性强化知识蒸馏(R2KD)方法。这种方法能使知识蒸馏有效地结合数据扩增来提高性能。在各种数据集(包括 CIFAR-100、FGVR、TinyImagenet 和 ImageNet)上进行的广泛实验证明,我们的方法优于目前最先进的方法。
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引用次数: 0
Adversarial Attack and Defense on Discrete Time Dynamic Graphs 离散时间动态图的对抗性攻击与防御
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-05 DOI: 10.1109/TKDE.2024.3438238
Ziwei Zhao;Yu Yang;Zikai Yin;Tong Xu;Xi Zhu;Fake Lin;Xueying Li;Enhong Chen
Graph learning methods have achieved remarkable performance in various domains such as social recommendation, financial fraud detection, and so on. In real applications, the underlying graph is often dynamically evolving and thus, some recent studies focus on integrating the temporal topology information of graphs into the GNN for learning graph embedding. However, the robustness of training GNNs for dynamic graphs has not been discussed so far. The major reason is how to attack dynamic graph embedding still remains largely untouched, let alone how to defend against the attacks. To enable robust training of GNNs for dynamic graphs, in this paper, we investigate the problem of how to generate attacks and defend against attacks for dynamic graph embedding. Attacking dynamic graph embedding is more challenging than attacking static graph embedding as we need to understand the temporal dynamics of graphs as well as its impact on the embedding and the injected perturbations should be distinguished from the natural evolution. In addition, the defense is very challenging as the perturbations may be hidden within the natural evolution. To tackle these technical challenges, in this paper, we first develop a novel gradient-based attack method from an optimization perspective to generate perturbations to fool dynamic graph learning methods, where a key idea is to use gradient dynamics to attack the natural dynamics of the graph. Further, we borrow the idea of the attack method and integrate it with adversarial training to train a more robust dynamic graph learning method to defend against hand-crafted attacks. Finally, extensive experiments on two real-world datasets demonstrate the effectiveness of the proposed attack and defense method, where our defense method not only achieves comparable performance on clean graphs but also significantly increases the defense performance on attacked graphs.
图学习方法在社交推荐、金融欺诈检测等多个领域都取得了不俗的成绩。在实际应用中,底层图往往是动态演化的,因此,最近的一些研究侧重于将图的时间拓扑信息集成到 GNN 中,以学习图嵌入。然而,迄今为止,针对动态图训练 GNN 的鲁棒性尚未得到讨论。主要原因是如何攻击动态图嵌入在很大程度上仍未触及,更不用说如何防御攻击了。为了实现动态图 GNN 的稳健训练,本文研究了如何对动态图嵌入产生攻击和防御攻击的问题。攻击动态图嵌入比攻击静态图嵌入更具挑战性,因为我们需要了解图的时间动态及其对嵌入的影响,而且注入的扰动应与自然演化区分开来。此外,由于扰动可能隐藏在自然演化过程中,因此防御也极具挑战性。为了解决这些技术难题,本文首先从优化的角度出发,开发了一种新颖的基于梯度的攻击方法,以产生扰动来欺骗动态图学习方法,其中的一个关键思想是利用梯度动态来攻击图的自然动态。此外,我们还借鉴了该攻击方法的思想,并将其与对抗训练相结合,训练出一种更稳健的动态图学习方法,以抵御手工制作的攻击。最后,在两个真实世界数据集上进行的大量实验证明了所提出的攻击和防御方法的有效性,我们的防御方法不仅在干净图上取得了相当的性能,而且还显著提高了在受攻击图上的防御性能。
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引用次数: 0
Mixed-Modality Clustering via Generative Graph Structure Matching 通过生成图结构匹配进行混合模式聚类
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-05 DOI: 10.1109/TKDE.2024.3434556
Xiaxia He;Boyue Wang;Junbin Gao;Qianqian Wang;Yongli Hu;Baocai Yin
The goal of mixed-modality clustering, which differs from typical multi-modality/view clustering, is to divide samples derived from various modalities into several clusters. This task has to solve two critical semantic gap problems: i) how to generate the missing modalities without the pairwise-modality data; and ii) how to align the representations of heterogeneous modalities. To tackle the above problems, this paper proposes a novel mixed-modality clustering model, which integrates the missing-modality generation and the heterogeneous modality alignment into a unified framework. During the missing-modality generation process, a bidirectional mapping is established between different modalities, enabling generation of preliminary representations for the missing-modality using information from another modality. Then the intra-modality bipartite graphs are constructed to help generate better missing-modality representations by weighted aggregating existing intra-modality neighbors. In this way, a pairwise-modality representation for each sample can be obtained. In the process of heterogeneous modality alignment, each modality is modelled as a graph to capture the global structure among intra-modality samples and is aligned against the heterogeneous modality representations through the adaptive heterogeneous graph matching module. Experimental results on three public datasets show the effectiveness of the proposed model compared to multiple state-of-the-art multi-modality/view clustering methods.
混合模态聚类不同于典型的多模态/视图聚类,其目标是将来自不同模态的样本划分为多个聚类。这项任务必须解决两个关键的语义缺口问题:i) 如何在没有成对模态数据的情况下生成缺失的模态;ii) 如何对齐异构模态的表征。为解决上述问题,本文提出了一种新颖的混合模态聚类模型,它将缺失模态生成和异构模态对齐整合到一个统一的框架中。在缺失模态生成过程中,不同模态之间会建立双向映射,从而利用另一种模态的信息生成缺失模态的初步表征。然后,通过加权聚合现有的模态内邻域,构建模态内双向图,帮助生成更好的缺失模态表征。通过这种方法,可以为每个样本获得一个成对模态表示。在异构模态配准过程中,每个模态都被建模为一个图,以捕捉模态内样本之间的全局结构,并通过自适应异构图匹配模块与异构模态表示进行配准。在三个公共数据集上的实验结果表明,与多种最先进的多模态/视图聚类方法相比,所提出的模型非常有效。
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引用次数: 0
OPF-Miner: Order-Preserving Pattern Mining With Forgetting Mechanism for Time Series OPF-Miner:具有遗忘机制的时间序列保序模式挖掘
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-05 DOI: 10.1109/TKDE.2024.3438274
Yan Li;Chenyu Ma;Rong Gao;Youxi Wu;Jinyan Li;Wenjian Wang;Xindong Wu
Order-preserving pattern (OPP) mining is a type of sequential pattern mining method in which a group of ranks of time series is used to represent an OPP. This approach can discover frequent trends in time series. Existing OPP mining algorithms consider data points at different time to be equally important; however, newer data usually have a more significant impact, while older data have a weaker impact. We therefore introduce the forgetting mechanism into OPP mining to reduce the importance of older data. This paper explores the mining of OPPs with forgetting mechanism (OPF) and proposes an algorithm called OPF-Miner that can discover frequent OPFs. OPF-Miner performs two tasks, candidate pattern generation and support calculation. In candidate pattern generation, OPF-Miner employs a maximal support priority strategy and a group pattern fusion strategy to avoid redundant pattern fusions. For support calculation, we propose an algorithm called support calculation with forgetting mechanism, which uses prefix and suffix pattern pruning strategies to avoid redundant support calculations. The experiments are conducted on nine datasets and 12 alternative algorithms. The results verify that OPF-Miner is superior to other competitive algorithms. More importantly, OPF-Miner yields good clustering performance for time series, since the forgetting mechanism is employed.
保序模式(OPP)挖掘是一种序列模式挖掘方法,其中使用一组时间序列的等级来表示 OPP。这种方法可以发现时间序列中的频繁趋势。现有的 OPP 挖掘算法认为不同时间的数据点同等重要;但是,较新的数据通常影响更大,而较老的数据影响较弱。因此,我们在 OPP 挖掘中引入了遗忘机制,以降低旧数据的重要性。本文探讨了带有遗忘机制(OPF)的OPP挖掘,并提出了一种名为OPF-Miner的算法,可以发现频繁的OPF。OPF-Miner 执行两项任务:候选模式生成和支持计算。在候选模式生成中,OPF-Miner 采用了最大支持优先策略和分组模式融合策略,以避免冗余模式融合。在支持计算方面,我们提出了一种名为 "带遗忘机制的支持计算 "的算法,它使用前缀和后缀模式剪枝策略来避免冗余支持计算。我们在 9 个数据集和 12 种备选算法上进行了实验。结果验证了 OPF-Miner 优于其他竞争算法。更重要的是,由于采用了遗忘机制,OPF-Miner 对时间序列具有良好的聚类性能。
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引用次数: 0
Parallel Contraction Hierarchies Construction on Road Networks 在路网上构建并行收缩层次结构
IF 8.9 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-08-02 DOI: 10.1109/TKDE.2024.3437243
Zi Chen;Xinyu Ji;Long Yuan;Xuemin Lin;Wenjie Zhang;Shan Huang
Shortest path query on road networks is a fundamental problem to support many location-based services and wide variant applications. Contraction Hierarchies(CH) is widely adopted to accelerate the shortest path query by leveraging shortcuts among vertices. However, the state-of-the-art CH construction method named $mathsf{VCHCons}$ suffers from inefficiencies due to their strong reliance on pre-determined vertex order. This leads to the generation of a large number of invalid shortcuts and the limit of parallel processing capability. Motivated by it, in this paper, an innovative CH construction algorithm called $mathsf{ECHCons}$ is devised following an edge-centric paradigm, which addresses the issue of invalid shortcut production by introducing a novel edge-ordering strategy. Furthermore, it optimizes shortcut calculation within a dynamically constructed optimal subgraph, which is significantly smaller than the original network, thus shrinking the traversal space during index construction. To further enhance efficiency and overcome the limitations in parallelism inherent to $mathsf{VCHCons}$, our approach leverages batch contraction of edges and introduces a well-defined lower bound technique to unlock more efficient parallel computation resources. Our approach provides both theoretical guarantee and practical advancement in CH construction. Extensive and comprehensive experiments are conducted on real road networks. The experimental results demonstrate the effectiveness and efficiency of our proposed approach.
道路网络上的最短路径查询是支持许多基于位置的服务和多种应用的基本问题。人们广泛采用收缩层次结构(Contraction Hierarchies,CH)来利用顶点间的捷径加速最短路径查询。然而,名为 $mathsf{VCHCons}$ 的最先进 CH 构建方法由于严重依赖于预先确定的顶点顺序而效率低下。这导致生成大量无效捷径,并限制了并行处理能力。受此启发,本文按照以边缘为中心的范式,设计了一种名为 $mathsf{ECHCons}$ 的创新 CH 构建算法,通过引入一种新颖的边缘排序策略,解决了无效捷径生成的问题。此外,它还优化了动态构建的最优子图内的快捷方式计算,该子图明显小于原始网络,从而缩小了索引构建过程中的遍历空间。为了进一步提高效率并克服 $mathsf{VCHCons}$ 固有的并行性限制,我们的方法利用了边的批量收缩,并引入了定义明确的下限技术,以释放更高效的并行计算资源。我们的方法为 CH 的构建提供了理论保证和实践进展。我们在真实的道路网络上进行了广泛而全面的实验。实验结果证明了我们提出的方法的有效性和高效性。
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引用次数: 0
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