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Bipartite Containment Control of Heterogeneous Nonlinear Multi-Agent Systems over Multi-Group Networks
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作者 HU Ziqi KANG Jianling 《Journal of Donghua University(English Edition)》 2026年第1期80-90,共11页
The bipartite containment control problem for heterogeneous nonlinear multi-agent systems(HNMASs)within multi-group networks under signed digraphs is investigated,where the first-order and second-order nonlinear dynam... The bipartite containment control problem for heterogeneous nonlinear multi-agent systems(HNMASs)within multi-group networks under signed digraphs is investigated,where the first-order and second-order nonlinear dynamic agents belong to distinct groups.Interactions are cooperative-antagonistic within each group and sign-in-degree balanced across the inter-groups.Firstly,a state feedback control protocol is designed to ensure that the trajectories of followers in diverse groups can converge to distinct convex hulls formed by their corresponding leaders,respectively.As an extension,the bipartite control problem with time-variant formation for the multi-agent system(MAS)is also considered,and a corresponding control protocol with formation compensation vectors is given.Finally,in view of Lyapunov stability theory and matrix inequality,the sufficient conditions for realizing the bipartite containment control are obtained,and several simulations are provided to verify the validity of the above methods. 展开更多
关键词 bipartite containment control time-variant formation heterogeneous nonlinear system multi-group network
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Mathematical Model and Algorithm for Link Community Detection in Bipartite Networks 被引量:1
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作者 Zhenping Li Shihua Zhang Xiangsun Zhang 《American Journal of Operations Research》 2015年第5期421-434,共14页
In the past ten years, community detection in complex networks has attracted more and more attention of researchers. Communities often correspond to functional subunits in the complex systems. In complex network, a no... In the past ten years, community detection in complex networks has attracted more and more attention of researchers. Communities often correspond to functional subunits in the complex systems. In complex network, a node community can be defined as a subgraph induced by a set of nodes, while a link community is a subgraph induced by a set of links. Although most researches pay more attention to identifying node communities in both unipartite and bipartite networks, some researchers have investigated the link community detection problem in unipartite networks. But current research pays little attention to the link community detection problem in bipartite networks. In this paper, we investigate the link community detection problem in bipartite networks, and formulate it into an integer programming model. We proposed a genetic algorithm for partition the bipartite network into overlapping link communities. Simulations are done on both artificial networks and real-world networks. The results show that the bipartite network can be efficiently partitioned into overlapping link communities by the genetic algorithm. 展开更多
关键词 bipartite network LINK Community Quantity Function INTEGER PROGRAMMING GENETIC Algorithm
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An MDL approach to efficiently discover communities in bipartite network 被引量:1
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作者 徐开阔 曾春秋 +2 位作者 元昌安 李川 唐常杰 《Journal of Central South University》 SCIE EI CAS 2014年第4期1353-1367,共15页
An minimum description length(MDL) criterion is proposed to choose a good partition for a bipartite network. A heuristic algorithm based on combination theory is presented to approach the optimal partition. As the heu... An minimum description length(MDL) criterion is proposed to choose a good partition for a bipartite network. A heuristic algorithm based on combination theory is presented to approach the optimal partition. As the heuristic algorithm automatically searches for the number of partitions, no user intervention is required. Finally, experiments are conducted on various datasets, and the results show that our method generates higher quality results than the state-of-art methods, cross-association and bipartite, recursively induced modules. Experiment results also show the good scalability of the proposed algorithm. The method is applied to traditional Chinese medicine(TCM) formula and Chinese herbal network whose community structure is not well known, and found that it detects significant and it is informative community division. 展开更多
关键词 community detection bipartite network minimum description length
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A uniform framework of projection and community detection for one-mode network in bipartite networks
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作者 吴果林 顾长贵 +1 位作者 邱路 杨会杰 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第12期636-646,共11页
Projection is a widely used method in bipartite networks. However, each projection has a specific application scenario and differs in the forms of mapping for bipartite networks. In this paper, inspired by the network... Projection is a widely used method in bipartite networks. However, each projection has a specific application scenario and differs in the forms of mapping for bipartite networks. In this paper, inspired by the network-based information exchange dynamics, we propose a uniform framework of projection. Subsequently, an information exchange rate projection based on the nature of community structures of a network (named IERCP) is designed to detect community structures of bipartite networks. Results from the synthetic and real-world networks show that the IERCP algorithm has higher performance compared with the other projection methods. It suggests that the IERCP may extract more information hidden in bipartite networks and minimize information loss. 展开更多
关键词 bipartite networks COMMUNITY PROJECTION information exchange
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Predictive Characteristics of Co-authorship Networks: Comparing the Unweighted, Weighted, and Bipartite Cases
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作者 Raf Guns 《Journal of Data and Information Science》 2016年第3期59-78,共20页
Purpose: This study aims to answer the question to what extent different types of networks can be used to predict future co-authorship among authors.Design/methodology/approach: We compare three types ot networks: ... Purpose: This study aims to answer the question to what extent different types of networks can be used to predict future co-authorship among authors.Design/methodology/approach: We compare three types ot networks: unwelgntea networks, in which a link represents a past collaboration; weighted networks, in which links are weighted by the number of joint publications; and bipartite author-publication networks. The analysis investigates their relation to positive stability, as well as their potential in predicting links in future versions of the co-authorship network. Several hypotheses are tested.Findings: Among other results, we find that weighted networks do not automatically lead to better predictions. Bipartite networks, however, outperform unweighted networks in almost all cases. Research limitations: Only two relatively small case studies are considered Practical implications: The study suggests that future link prediction studies on networks should consider using the bipartite network as a training network. Originality/value: This is the first systematic comparison of unweighted, weighted, and bipartite training networks in link prediction. 展开更多
关键词 network evolution Link prediction Weighted networks bipartite networks Two-mode networks
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Recommender System Combining Popularity and Novelty Based on One-Mode Projection of Weighted Bipartite Network
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作者 Yong Yu Yongjun Luo +4 位作者 Tong Li Shudong Li Xiaobo Wu Jinzhuo Liu Yu Jiang 《Computers, Materials & Continua》 SCIE EI 2020年第4期489-507,共19页
Personalized recommendation algorithms,which are effective means to solve information overload,are popular topics in current research.In this paper,a recommender system combining popularity and novelty(RSCPN)based on ... Personalized recommendation algorithms,which are effective means to solve information overload,are popular topics in current research.In this paper,a recommender system combining popularity and novelty(RSCPN)based on one-mode projection of weighted bipartite network is proposed.The edge between a user and item is weighted with the item’s rating,and we consider the difference in the ratings of different users for an item to obtain a reasonable method of measuring the similarity between users.RSCPN can be used in the same model for popularity and novelty recommendation by setting different parameter values and analyzing how a change in parameters affects the popularity and novelty of the recommender system.We verify and compare the accuracy,diversity and novelty of the proposed model with those of other models,and results show that RSCPN is feasible. 展开更多
关键词 Personalized recommendation one-mode projection weighted bipartite network novelty recommendation diversity
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The Evolving Bipartite Network and Semi-Bipartite Network Models with Adjustable Scale and Hybrid Attachment Mechanisms
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作者 Peng Zuo Zhen Jia 《Open Journal of Applied Sciences》 2023年第10期1689-1703,共15页
The bipartite graph structure exists in the connections of many objects in the real world, and the evolving modeling is a good method to describe and understand the generation and evolution within various real complex... The bipartite graph structure exists in the connections of many objects in the real world, and the evolving modeling is a good method to describe and understand the generation and evolution within various real complex networks. Previous bipartite models were proposed to mostly explain the principle of attachments, and ignored the diverse growth speed of nodes of sets in different bipartite networks. In this paper, we propose an evolving bipartite network model with adjustable node scale and hybrid attachment mechanisms, which uses different probability parameters to control the scale of two disjoint sets of nodes and the preference strength of hybrid attachment respectively. The results show that the degree distribution of single set in the proposed model follows a shifted power-law distribution when parameter r and s are not equal to 0, or exponential distribution when r or s is equal to 0. Furthermore, we extend the previous model to a semi-bipartite network model, which embeds more user association information into the internal network, so that the model is capable of carrying and revealing more deep information of each user in the network. The simulation results of two models are in good agreement with the empirical data, which verifies that the models have a good performance on real networks from the perspective of degree distribution. We believe these two models are valuable for an explanation of the origin and growth of bipartite systems that truly exist. 展开更多
关键词 bipartite networks Evolving Model Semi-bipartite networks Hybrid Attachment Degree Distribution
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Heterogeneous Network Community Detection Algorithm Based on Maximum Bipartite Clique
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作者 Xiaodong Qian Lei Yang Jinhao Fang 《国际计算机前沿大会会议论文集》 2018年第1期19-19,共1页
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基于图注意力网络的无人机蜂群作战目标分配
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作者 朱政 魏喜庆 +1 位作者 李瑞康 宋申民 《兵工学报》 北大核心 2026年第1期235-243,共9页
近年来,随着无人机集群在智能化军事作战中的广泛应用,复杂动态环境下的蜂群目标分配问题成为军事运筹研究的重要方向。传统方法在面对大规模、实时的无人机蜂群目标分配问题时,常面临精确算法计算开销大和启发式方法解质量不足的矛盾... 近年来,随着无人机集群在智能化军事作战中的广泛应用,复杂动态环境下的蜂群目标分配问题成为军事运筹研究的重要方向。传统方法在面对大规模、实时的无人机蜂群目标分配问题时,常面临精确算法计算开销大和启发式方法解质量不足的矛盾。以最小化敌方目标剩余价值为目标,构建目标分配模型,将无人机蜂群与敌方目标建模为二分图节点,生成结构化训练数据。在此基础上设计并训练一种改进的图注意力网络,融合节点属性与边特征实现高效分配。仿真实验结果表明,新方法在解质量和求解效率方面均优于传统方法,具备良好的泛化能力,适用于大规模实时作战场景。 展开更多
关键词 无人机蜂群 目标分配问题 图注意力网络 二分图 大规模场景 实时决策
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Detecting Communities by Revised Max-flow Method in Networks 被引量:1
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作者 刘传建 朱志强 吴建良 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第8期258-262,共5页
A ubiquitous phenomenon in networks is the presence of communities within which the network connections are dense and between which they are sparser.This paper proposes a max-flow algorithm in bipartite networks to de... A ubiquitous phenomenon in networks is the presence of communities within which the network connections are dense and between which they are sparser.This paper proposes a max-flow algorithm in bipartite networks to detect communities in general networks.Firstly,we construct a bipartite network in accordance with a general network and derive a revised max-flow problem in order to uncover the community structure.Then we present a local heuristic algorithm to find the optimal solution of the revised max-flow problem.This method is applied to a variety of real-world and artificial complex networks,and the partition results confirm its effectiveness and accuracy. 展开更多
关键词 community structure max-flow bipartite network
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Comparisons and Contrasts between Asymmetry and Nestedness in Interacting Ecological Networks
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作者 Gilberto Corso N. F. Britton 《Open Journal of Ecology》 2014年第11期653-661,共9页
We compare and contrast asymmetry and nestedness, two concepts used in the characterisation of the specialist-generalist balance in bipartite ecological interaction networks. Our analysis is relevant to mutualistic ne... We compare and contrast asymmetry and nestedness, two concepts used in the characterisation of the specialist-generalist balance in bipartite ecological interaction networks. Our analysis is relevant to mutualistic networks such as those consisting of flowering plants and pollinators, or fruiting plants and frugivores, or antagonistic networks such as those consisting of plants and herbivores, in an ecological community. We shall refer to the two sets of species in the bipartite network as plants and animals, the usual but not the only ecological situation. By asymmetry we mean either connectivity asymmetry or dependence asymmetry, which are essentially equivalent. Asymmetry expresses two attributes: generalists interact preferentially with specialists, and specialists avoid interacting with each other. Nested patterns, in principle, should express these same two features and one more: the presence of a core of interactions among generalists. We compute the full set of perfectly nested patterns that are possible in an L × L matrix with N interactions representing an ecological network of L plants and L animals, and point out that the number of nested arrangements grows exponentially with N. In addition, we analyse asymmetry for the full set of perfectly nested patterns, and identify extremes of asymmetry inside the universe of nested patterns. The minimal asymmetry is marked by a modular core of interactions between species that are neither specialists nor generalists. On the other hand, the case of maximal asymmetry is formed by a set of few generalists and many specialists with equal connectivity. The stereotypic case of nestedness with a core of interactions among generalists has intermediate asymmetry. 展开更多
关键词 bipartite Interaction networks NESTEDNESS Asymmetry ECOLOGY of COMMUNITIES
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Personalized Recommendation Algorithm Based on Rating System and User Interest Association Network
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作者 Jiaquan Huang Zhen Jia 《Journal of Applied Mathematics and Physics》 2022年第12期3496-3509,共14页
In most available recommendation algorithms, especially for rating systems, almost all the high rating information is utilized on the recommender system without using any low-rating information, which may include more... In most available recommendation algorithms, especially for rating systems, almost all the high rating information is utilized on the recommender system without using any low-rating information, which may include more user information and lead to the accuracy of recommender system being reduced. The paper proposes a algorithm of personalized recommendation (UNP algorithm) for rating system to fully explore the similarity of interests among users in utilizing all the information of rating data. In UNP algorithm, the similarity information of users is used to construct a user interest association network, and a recommendation list is established for the target user with combining the user interest association network information and the idea of collaborative filtering. Finally, the UNP algorithm is compared with several typical recommendation algorithms (CF algorithm, NBI algorithm and GRM algorithm), and the experimental results on Movielens and Netflix datasets show that the UNP algorithm has higher recommendation accuracy. 展开更多
关键词 Recommender Systems Association network SIMILARITY bipartite network Collaborative Filtering
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A study of fault detection way for computer networks based on multiple stages
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《International English Education Research》 2013年第12期119-122,共4页
To relieve traliic overhead induced by active probing based methods, a new fault detection method, whose key is to divide the detection process into multiple stages, is proposed in this paper. During each stage, only ... To relieve traliic overhead induced by active probing based methods, a new fault detection method, whose key is to divide the detection process into multiple stages, is proposed in this paper. During each stage, only a small region of the network is detected by using a small set of probes. Meanwhile, it also ensures that the entire network can be covered alter multiple detection stages. This method can guarantee that the traffic used by probes during each detection stage is small sufficiently so that the network can operate without severe disturbance from probes. Several simulation results verify the effectiveness of the proposed method. 展开更多
关键词 Computer networks Fault detection Active probing bipartite Bayesian network Probe selection algorithm
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基于二部联合网络的属性缺失图学习方法
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作者 韩忠明 张舒群 +2 位作者 刘燕 胡启文 杨伟杰 《复杂系统与复杂性科学》 北大核心 2025年第2期55-63,共9页
针对图数据中普遍存在的节点属性缺失问题,提出了一种新型的属性缺失图学习框架。该框架通过重构二部联合网络,将节点属性映射为边信息,使属性补全与图节点分类任务能够在统一框架下协同进行,灵活处理连续型数据和离散型数据缺失。并基... 针对图数据中普遍存在的节点属性缺失问题,提出了一种新型的属性缺失图学习框架。该框架通过重构二部联合网络,将节点属性映射为边信息,使属性补全与图节点分类任务能够在统一框架下协同进行,灵活处理连续型数据和离散型数据缺失。并基于属性图的属性同质性和结构同质性,提出一种基于二部联合网络的属性缺失表示学习方法,引入边嵌入和注意力机制捕获二部联合网络中属性-属性与结构-属性之间的相关性,从而提升缺失属性学习。在4个基准图数据集上的实验表明该方法在属性补全任务和后续节点分类任务中均优于基线方法,验证了该方法有效性。 展开更多
关键词 图神经网络 属性补全 节点分类 二部图 网络拓扑
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基于技术距离测度的产业高价值专利识别研究
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作者 冉从敬 蒋云龙 +2 位作者 李旺 贾志轩 程凡 《情报学报》 北大核心 2025年第12期1503-1522,共20页
高价值专利识别是抢占产业全球战略高地、推动产业持续高效健康发展的重要课题,可为产业关键核心技术的挖掘提供重要线索。本文从专利技术距离测度视角出发,在进行主题聚类提取领域上位类主题基础上,提出一种基于主题知识贡献距离与主... 高价值专利识别是抢占产业全球战略高地、推动产业持续高效健康发展的重要课题,可为产业关键核心技术的挖掘提供重要线索。本文从专利技术距离测度视角出发,在进行主题聚类提取领域上位类主题基础上,提出一种基于主题知识贡献距离与主题联系程度双维影响下的高价值专利识别方法。在主题知识贡献距离维度上,构建专利间分层专利引用网络,计算各专利与主题的持续知识贡献值,基于知识贡献时间序列计算主题间的动态时间规整(dynamic time warping,DTW)距离,形成主题知识贡献距离矩阵;在主题联系程度维度上,构建主题与专利二分图网络,结合专利共现频率与引用关系强度进行初始强度与全局逻辑计算,形成主题联系程度矩阵。融合双维度矩阵构建专利技术距离矩阵,基于技术距离矩阵进行各专利的绝对技术距离计算,选取阈值范围内的高绝对技术距离专利作为领域内高技术价值的专利。经验证数据集检验,本文方法的精准率达到0.8218,F1指标达到0.8014。基于此,对“生成式人工智能”领域专利进行实证,识别出产业内具有较高价值的专利1437件,并发现识别出的高价值专利集具有较高的转让比例,转让比例达58.59%。本文基于技术本质的视角对专利间的技术差距进行量化,打破了以往仅从外部特征或简单统计数据判断专利价值的局限性,提升了识别的准确性;同时,提出双维度的技术距离影响机理,进一步提升了识别的可解释性。 展开更多
关键词 高价值专利识别 技术距离 主题聚类 专利引用网络 二分图网络
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融合上下文信息和注意力机制的图卷积网络推荐模型
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作者 袁满 李嘉琪 袁靖舒 《吉林大学学报(信息科学版)》 2025年第1期107-115,共9页
由于传统推荐系统虽然采用了图结构信息,但大部分只考虑了用户和物品的基本属性,忽略了用户和物品的上下文交互信息这个重要因素,而即使考虑到了上下文交互信息,在层组合阶段也缺少注意力机制赋予权重。为此,提出了一个融合了上下文交... 由于传统推荐系统虽然采用了图结构信息,但大部分只考虑了用户和物品的基本属性,忽略了用户和物品的上下文交互信息这个重要因素,而即使考虑到了上下文交互信息,在层组合阶段也缺少注意力机制赋予权重。为此,提出了一个融合了上下文交互信息和注意力机制的CIAGCN(Context Information Attention Graph Convolutional NetworksN)推荐模型。该模型利用用户和物品的上下文交互信息,同时应用图的高阶连通性理论获取更深层次的协同信号。在层组合阶段引入注意力机制以提高该阶段的可解释性。将该模型在Yelp-OH、Yelp-NC和Amazon-Book数据集上进行实验对比,结果表明相比其他算法,该模型具有一定的效果提升,说明推荐效果优于传统的推荐模型。 展开更多
关键词 注意力机制 推荐系统 二部图 图神经网络
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中国文化产品贸易网络演化及影响因素——基于“省份—国家”二模网络视角
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作者 李凡 蒋丽 董春晖 《对外经贸实务》 2025年第3期18-29,共12页
本文构建2015—2023年中国省域-国家文化贸易二模网络,运用社会网络分析与指数随机图模型(ERGM),探究文化产品贸易网络演变特征及驱动因素。研究发现:①中国文化产品贸易网络规模显著扩大,由原有的“单核集中”逐步演变为多省份协同发... 本文构建2015—2023年中国省域-国家文化贸易二模网络,运用社会网络分析与指数随机图模型(ERGM),探究文化产品贸易网络演变特征及驱动因素。研究发现:①中国文化产品贸易网络规模显著扩大,由原有的“单核集中”逐步演变为多省份协同发展的“多极化”格局,网络结构复杂性与稳定性同步增强;②东部地区在文化贸易中的连接性、中介性与影响力优势明显,中西部地区则在网络中心性与中介地位方面相对薄弱,区域发展不平衡特征依然存在;③友好城市网络、双边贸易关系及对外开放水平等因素显著促进文化产品贸易,市场的自主性和灵活性逐渐成为推动文化贸易的重要动力。基于此,研究提出促进中西部文化产业发展、构建区域协同机制、优化出口政策环境及推动文化企业数字化转型等对策建议,以推动中国文化产品贸易的高质量与可持续发展。 展开更多
关键词 二模网络 社会网络分析 文化产品贸易 指数随机图模型
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BiGCN-TL:软件错误部分定位场景下二分图图卷积神经网络Transformer定位模型 被引量:1
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作者 施恩译 常舒予 +2 位作者 陈可佳 张扬 黄海平 《计算机科学》 北大核心 2025年第S1期862-872,共11页
在现代复杂软件项目中,软件错误与代码呈现“多对多”的对应关系,一个软件错误往往由多个代码变更集引起,一个代码变更集也会引起多个软件错误。因此,对于软件错误往往只能实现部分定位,难以追溯全部的相关代码。传统架构对于代码变更... 在现代复杂软件项目中,软件错误与代码呈现“多对多”的对应关系,一个软件错误往往由多个代码变更集引起,一个代码变更集也会引起多个软件错误。因此,对于软件错误往往只能实现部分定位,难以追溯全部的相关代码。传统架构对于代码变更集或软件错误语义特征的提取,往往只分别独立地依赖各自的上下文。现代软件项目规模庞大,代码依赖错综复杂、这样分别独立的语义提取方式,降低了单个文本语义特征的质量与鲁棒性,导致最终的定位性能下滑。为实现对软件错误相关代码的全面追溯,提出了BiGCN-TL模型。BiGCN-TL重点聚焦训练模型促进不同文本之间信息交互的能力,旨在降低对单个文本语义特征质量的依赖,使得在现代软件项目规模庞大、代码依赖错综复杂、单个文本语义特征提取困难的场景下,仍能通过高效的信息交互,提取到高质量语义特征,提高定位准确率。首先根据已知的部分定位关系,微调基于Transformer的预训练模型。然后,创新性地将软件错误和代码变更集建模成二分图的数据结构,借此充分利用已知的“多对多”关系,并使用微调后的编码器得到节点特征的初始表示。之后,基于二分图设计链接预测任务,训练GCN与二分类鉴别器。借助图卷积操作和注意力机制动态更新节点特征,重点训练模型促进文本信息的交互,动态更新节点特征的能力,从而得到高质量全局分类特征,最终输出匹配预测得分。在多个数据集上开展了对比实验,结果验证了BiGCN-TL相比传统方案的优越性,并通过消融实验确认了各模块的有效性。此外,通过探索多种预训练模型与GCN的组合,并结合具体案例和可视化分析,进一步验证了BiGCN-TL的通用性与鲁棒性。 展开更多
关键词 错误定位 预训练模型 链接预测 二分图 图神经网络
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A Bipartite Network-based Method for Prediction of Long Non-coding RNA–protein Interactions 被引量:11
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作者 Mengqu Ge Ao Li Minghui Wang 《Genomics, Proteomics & Bioinformatics》 SCIE CAS CSCD 2016年第1期62-71,共10页
As one large class of non-coding RNAs (ncRNAs), long ncRNAs (IneRNAs) have gained considerable attention in recent years. Mutations and dysfunction of lncRNAs have been implicated in human disorders. Many lncRNAs ... As one large class of non-coding RNAs (ncRNAs), long ncRNAs (IneRNAs) have gained considerable attention in recent years. Mutations and dysfunction of lncRNAs have been implicated in human disorders. Many lncRNAs exert their effects through interactions with the corresponding RNA-binding proteins. Several computational approaches have been developed, but only few are able to perform the prediction of these interactions from a network-based point of view. Here, we introduce a computational method named lncRN^protein bipartite network inference (LPBNI). LPBNI aims to identify potential lncRNA-interacting proteins, by making full use of the known IncRNA-protein interactions. Leave-one-out cross validation (LOOCV) test shows that LPBNI significantly outperforms other network-based methods, including random walk (RWR) and protein-based collaborative filtering (ProCF). Furthermore, a case study was performed to demonstrate the performance of LPBNI using real data in predicting potential lncRNA-interacting proteins. 展开更多
关键词 lncRNA PROTEIN INTERACTION bipartite network PROPAGATION
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分数阶时滞多智能体系统的二分一致性
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作者 杨冉 刘松 李晓艳 《工程数学学报》 北大核心 2025年第5期860-874,共15页
主要探讨分数阶时滞多智能体系统在固定和切换拓扑下的二分一致性问题。首先针对固定拓扑,通过设计时滞控制协议,并借助分数阶拉兹密辛理论以及符号图论提出了系统实现二分一致性的几个充分条件。其次针对切换拓扑,利用共同Lyapunov函... 主要探讨分数阶时滞多智能体系统在固定和切换拓扑下的二分一致性问题。首先针对固定拓扑,通过设计时滞控制协议,并借助分数阶拉兹密辛理论以及符号图论提出了系统实现二分一致性的几个充分条件。其次针对切换拓扑,利用共同Lyapunov函数方法进一步实现该系统的二分一致性。上述方法有效地解决了由时滞、分数阶导数和切换导致的困难。最后,两个简单的数值例子将验证结论的可行性。 展开更多
关键词 二分一致性 分数阶多智能体系统 符号有向网络 时滞 切换网络
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