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A dynamic epidemic control model on uncorrelated complex networks 被引量:4
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作者 裴伟东 陈增强 袁著社 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第2期373-379,共7页
In this paper, a dynamic epidemic control model on the uncorrelated complex networks is proposed. By means of theoretical analysis, we found that the new model has a similar epidemic threshold as that of the susceptib... In this paper, a dynamic epidemic control model on the uncorrelated complex networks is proposed. By means of theoretical analysis, we found that the new model has a similar epidemic threshold as that of the susceptible-infectedrecovered (SIR) model on the above networks, but it can reduce the prevalence of the infected individuals remarkably. This result may help us understand epidemic spreading phenomena on real networks and design appropriate strategies to control infections. 展开更多
关键词 complex networks dynamic quarantining mechanism QSIR model epidemic threshold
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Hierarchical Modeling by Recursive Unsupervised Spectral Clustering and Network Extended Importance Measures to Analyze the Reliability Characteristics of Complex Network Systems 被引量:1
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作者 Yiping Fang Enrico Zio 《American Journal of Operations Research》 2013年第1期101-112,共12页
The complexity of large-scale network systems made of a large number of nonlinearly interconnected components is a restrictive facet for their modeling and analysis. In this paper, we propose a framework of hierarchic... The complexity of large-scale network systems made of a large number of nonlinearly interconnected components is a restrictive facet for their modeling and analysis. In this paper, we propose a framework of hierarchical modeling of a complex network system, based on a recursive unsupervised spectral clustering method. The hierarchical model serves the purpose of facilitating the management of complexity in the analysis of real-world critical infrastructures. We exemplify this by referring to the reliability analysis of the 380 kV Italian Power Transmission Network (IPTN). In this work of analysis, the classical component Importance Measures (IMs) of reliability theory have been extended to render them compatible and applicable to a complex distributed network system. By utilizing these extended IMs, the reliability properties of the IPTN system can be evaluated in the framework of the hierarchical system model, with the aim of providing risk managers with information on the risk/safety significance of system structures and components. 展开更多
关键词 complex network System Hierarchical modeling Spectral Clustering EXTENDED IMPORTANCE Measure
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Performance-based fractal fracture model for complex fracture network simulation 被引量:2
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作者 Wen-Dong Wang Yu-Liang Su +2 位作者 Qi Zhang Gang Xiang Shi-Ming Cui 《Petroleum Science》 SCIE CAS CSCD 2018年第1期126-134,共9页
The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar or orthogonal co... The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar or orthogonal conjugate fractures for representing the ''complexity'' of the network. Bifurcation of fractures is performed utilizing the Lindenmayer system based on fractal geometry to describe the fracture propagation pattern, density and network connectivity. Four controlling parameters are proposed to describe the details of complex fractures and stimulated reservoir volume(SRV). The results show that due to the multilevel feature of fractal fractures, the model could provide a simple method for contributing reservoir volume calibration. The primary-and second-stage fracture networks across the overall SRV are the main contributions to the production, while the induced fracture network just contributes another 20% in the late producing period. We also conduct simulation with respect to different refracturing cases and find that increasing the complexity of the fracture network provides better performance than only enhancing the fracture conductivity. 展开更多
关键词 Fractal geometry Fractal fracture model complex fracture network characterization Contributing reservoirvolume REFRACTURING
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The Complex System Modeling Method Based on Uniform Design and Neural Network 被引量:1
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作者 Zhang Yong(Beijing Simulation Center, P.O.Box 142-23, Beijing 100854, P.R. China) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1996年第4期27-36,共10页
In this paper, the method based on uniform design and neural network is proposed to model the complex system. In order to express the system characteristics all round, uniform design method is used to choose the model... In this paper, the method based on uniform design and neural network is proposed to model the complex system. In order to express the system characteristics all round, uniform design method is used to choose the modeling samples and obtain the overall information of the system;for the purpose of modeling the system or its characteristics, the artificial neural network is used to construct the model. Experiment indicates that this method can model the complex system effectively. 展开更多
关键词 modeling method Uniform design Neural network complex system Simulation.
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A thermal flux-diffusing model for complex networks and its applications in community structure detection
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作者 沈毅 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第5期637-643,共7页
We introduce a thermal flux-diffusing model for complex networks. Based on this model, we propose a physical method to detect the communities in the complex networks. The method allows us to obtain the temperature dis... We introduce a thermal flux-diffusing model for complex networks. Based on this model, we propose a physical method to detect the communities in the complex networks. The method allows us to obtain the temperature distribution of nodes in time that scales linearly with the network size. Then, the local community enclosing a given node can be easily detected for the reason that the dense connections in the local communities lead to the temperatures of nodes in the same community being close to each other. The community structure of a network can be recursively detected by randomly choosing the nodes outside the detected local communities. In the experiments, we apply our method to a set of benchmarking networks with known pre-determined community structures. The experiment results show that our method has higher accuracy and precision than most existing globe methods and is better than the other existing local methods in the selection of the initial node. Finally. several real-world networks are investigated. 展开更多
关键词 complex networks community structure thermal flux-diffusing model
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The Fuzzy Modeling Algorithm for Complex Systems Based on Stochastic Neural Network
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作者 李波 张世英 李银惠 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2002年第3期46-51,共6页
A fuzzy modeling method for complex systems is studied. The notation of general stochastic neural network (GSNN) is presented and a new modeling method is given based on the combination of the modified Takagi and Suge... A fuzzy modeling method for complex systems is studied. The notation of general stochastic neural network (GSNN) is presented and a new modeling method is given based on the combination of the modified Takagi and Sugeno's (MTS) fuzzy model and one-order GSNN. Using expectation-maximization(EM) algorithm, parameter estimation and model selection procedures are given. It avoids the shortcomings brought by other methods such as BP algorithm, when the number of parameters is large, BP algorithm is still difficult to apply directly without fine tuning and subjective tinkering. Finally, the simulated example demonstrates the effectiveness. 展开更多
关键词 complex system modeling General stochastic neural network MTS fuzzy model Expectation-maximization algorithm
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Preferential attachment network model with aging and initial attractiveness
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作者 Xiao-Long Peng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2022年第3期97-103,共7页
In this paper,we generalize the growing network model with preferential attachment for new links to simultaneously include aging and initial attractiveness of nodes.The network evolves with the addition of a new node ... In this paper,we generalize the growing network model with preferential attachment for new links to simultaneously include aging and initial attractiveness of nodes.The network evolves with the addition of a new node per unit time,and each new node has m new links that with probability Π_(i) are connected to nodes i already present in the network.In our model,the preferential attachment probability Π_(i) is proportional not only to k_(i)+A,the sum of the old node i's degree ki and its initial attractiveness A,but also to the aging factor τ_(i)^(−α),whereτi is the age of the old node i.That is,Π_(i)∝(k_(i)+A)τ_(i)^(−α).Based on the continuum approximation,we present a mean-field analysis that predicts the degree dynamics of the network structure.We show that depending on the aging parameter α two different network topologies can emerge.For α<1,the network exhibits scaling behavior with a power-law degree distribution P(k)∝k^(−γ) for large k where the scaling exponent γ increases with the aging parameter α and is linearly correlated with the ratio A/m.Moreover,the average degree k(ti,t)at time t for any node i that is added into the network at time ti scales as k(t_(i),t)∝t_(i)^(−β) where 1/β is a linear function of A/m.For α>1,such scaling behavior disappears and the degree distribution is exponential. 展开更多
关键词 complex network model AGING preferential attachment power-law behavior
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Robustness Optimization Algorithm with Multi-Granularity Integration for Scale-Free Networks Against Malicious Attacks 被引量:1
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作者 ZHANG Yiheng LI Jinhai 《昆明理工大学学报(自然科学版)》 北大核心 2025年第1期54-71,共18页
Complex network models are frequently employed for simulating and studyingdiverse real-world complex systems.Among these models,scale-free networks typically exhibit greater fragility to malicious attacks.Consequently... Complex network models are frequently employed for simulating and studyingdiverse real-world complex systems.Among these models,scale-free networks typically exhibit greater fragility to malicious attacks.Consequently,enhancing the robustness of scale-free networks has become a pressing issue.To address this problem,this paper proposes a Multi-Granularity Integration Algorithm(MGIA),which aims to improve the robustness of scale-free networks while keeping the initial degree of each node unchanged,ensuring network connectivity and avoiding the generation of multiple edges.The algorithm generates a multi-granularity structure from the initial network to be optimized,then uses different optimization strategies to optimize the networks at various granular layers in this structure,and finally realizes the information exchange between different granular layers,thereby further enhancing the optimization effect.We propose new network refresh,crossover,and mutation operators to ensure that the optimized network satisfies the given constraints.Meanwhile,we propose new network similarity and network dissimilarity evaluation metrics to improve the effectiveness of the optimization operators in the algorithm.In the experiments,the MGIA enhances the robustness of the scale-free network by 67.6%.This improvement is approximately 17.2%higher than the optimization effects achieved by eight currently existing complex network robustness optimization algorithms. 展开更多
关键词 complex network model MULTI-GRANULARITY scale-free networks ROBUSTNESS algorithm integration
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Dynamic properties of epidemic spreading on finite size complex networks 被引量:3
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作者 李旲 刘旸 +3 位作者 山秀明 任勇 焦健 仇贲 《Chinese Physics B》 SCIE EI CAS CSCD 2005年第11期2153-2157,共5页
The Internet presents a complex topological structure, on which computer viruses can easily spread. By using theoretical analysis and computer simulation methods, the dynamic process of disease spreading on finite siz... The Internet presents a complex topological structure, on which computer viruses can easily spread. By using theoretical analysis and computer simulation methods, the dynamic process of disease spreading on finite size networks with complex topological structure is investigated. On the finite size networks, the spreading process of SIS (susceptibleinfected-susceptible) model is a finite Markov chain with an absorbing state. Two parameters, the survival probability and the conditional infecting probability, are introduced to describe the dynamic properties of disease spreading on finite size networks. Our results can help understanding computer virus epidemics and other spreading phenomena on communication and social networks. Also, knowledge about the dynamic character of virus spreading is helpful for adopting immunity policy. 展开更多
关键词 epidemic spreading complex networks SIS model
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Analyzing the causation of a railway accident based on a complex network 被引量:7
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作者 马欣 李克平 +1 位作者 罗自炎 周进 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期644-650,共7页
In this paper, a new model is constructed for the causation analysis of railway accident based on the complex network theory. In the model, the nodes are defined as various manifest or latent accident causal factors. ... In this paper, a new model is constructed for the causation analysis of railway accident based on the complex network theory. In the model, the nodes are defined as various manifest or latent accident causal factors. By employing the complex network theory, especially its statistical indicators, the railway accident as well as its key causations can be analyzed from the overall perspective. As a case, the "7.23" China-Yongwen railway accident is illustrated based on this model. The results show that the inspection of signals and the checking of line conditions before trains run played an important role in this railway accident. In conclusion, the constructed model gives a theoretical clue for railway accident prediction and, hence, greatly reduces the occurrence of railway accidents. 展开更多
关键词 railway accident complex network accident network model
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Rank-based deactivation model for networks with age 被引量:1
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作者 王学文 杨国宏 +1 位作者 李小林 许新建 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第1期578-582,共5页
We study the impact of age on network evolution which couples addition of new nodes and deactivation of old ones. During evolution, each node experiences two stages: active and inactive. The transition from the activ... We study the impact of age on network evolution which couples addition of new nodes and deactivation of old ones. During evolution, each node experiences two stages: active and inactive. The transition from the active state to the inactive one is based on the rank of the node. In this paper, we adopt age as a criterion of ranking, and propose two deactivation models that generalize previous research. In model A, the older active node possesses the higher rank, whereas in model B, the younger active node takes the higher rank. We make a comparative study between the two models through the node-degree distribution. 展开更多
关键词 complex networks deactivation model RANK
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Two-Layer Coupled Network Model for Topic Derivation in Public Opinion Propagation 被引量:8
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作者 Yuexia Zhang Yixuan Feng 《China Communications》 SCIE CSCD 2020年第3期176-187,共12页
In view of the fact that news can generate derivative topics when it spreads through micro-blogs,a two-layer coupled SEIR public opinion propagation model is proposed in this paper.The model divides the process of pub... In view of the fact that news can generate derivative topics when it spreads through micro-blogs,a two-layer coupled SEIR public opinion propagation model is proposed in this paper.The model divides the process of public opinion propagation into two layers:the original topic layer and the derived topic layer.Messages are transmitted separately by the SEIR model in the two topic layers,which are independent and interactive.The influence of the topic derivation rate on the propagation trend is established by solving for the equilibrium point and propagation threshold.Further,we establish the relationship between the original topic and the derived topic by simulation.This paper uses the Baidu index to demonstrate the correctness of the model.The relationship between the derived topic and the original topic is verified by adjusting the parameters by the control variable method.The results show that the proposed model is consistent with the propagation of actual public opinion. 展开更多
关键词 complex network PUBLIC OPINION PROPAGATION SEIR model
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Evolving Network Model with Local-Area Preference for Mobile Ad Hoc Network 被引量:2
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作者 王英赫 马跃 +2 位作者 王雅莉 张勇 张英海 《China Communications》 SCIE CSCD 2013年第5期146-155,共10页
To accurately describe the evolving features of Mobile Ad Hoc Networks (MANETs) and to improve the performance of such networks, an evolving topology model with local-area preference is proposed. The aim of the model,... To accurately describe the evolving features of Mobile Ad Hoc Networks (MANETs) and to improve the performance of such networks, an evolving topology model with local-area preference is proposed. The aim of the model, which is analyzed by the mean field theory, is to optimize network structures based on users' behaviors in MANETs. The analysis results indicate that the network generated by this evolving model is a kind of scale-free network. This evolving model can improve the fault-tolerance performance of networks by balancing the connectivity and two factors, i.e., the remaining energy and the distance to nodes. The simulation results show that the evolving topology model has superior performance in reducing the traffic load and the energy consumption, prolonging network lifetime and improving the scalability of networks. It is an available approach for establishing and analyzing actual MANETs. 展开更多
关键词 MANET evolving model complex network local-area preference remaining energy
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Rapid identifying high-influence nodes in complex networks 被引量:1
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作者 宋波 蒋国平 +1 位作者 宋玉蓉 夏玲玲 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第10期1-9,共9页
A tiny fraction of influential individuals play a critical role in the dynamics on complex systems. Identifying the influential nodes in complex networks has theoretical and practical significance. Considering the unc... A tiny fraction of influential individuals play a critical role in the dynamics on complex systems. Identifying the influential nodes in complex networks has theoretical and practical significance. Considering the uncertainties of network scale and topology, and the timeliness of dynamic behaviors in real networks, we propose a rapid identifying method(RIM)to find the fraction of high-influential nodes. Instead of ranking all nodes, our method only aims at ranking a small number of nodes in network. We set the high-influential nodes as initial spreaders, and evaluate the performance of RIM by the susceptible-infected-recovered(SIR) model. The simulations show that in different networks, RIM performs well on rapid identifying high-influential nodes, which is verified by typical ranking methods, such as degree, closeness, betweenness,and eigenvector centrality methods. 展开更多
关键词 high-influence nodes dynamic model complex networks centrality measures
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Complex tree: the basic framework of protein-protein interaction networks
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作者 DaiChuan Ma YuanBo Diao +3 位作者 YiZhou Li YanZi Guo Jiang Wu MengLong Li 《Natural Science》 2010年第9期998-1004,共7页
In living cells, proteins are dynamically connec ted through biochemical reactions, so its functi onal features are properly encoded into protein protein interaction networks (PINs). Up to pres ent, many efforts have ... In living cells, proteins are dynamically connec ted through biochemical reactions, so its functi onal features are properly encoded into protein protein interaction networks (PINs). Up to pres ent, many efforts have been devoted to exploring the basic feature of PINs. However, it is still a challenging problem to explore a universal pr operty of PINs. Here we employed the complex networks theory to analyze the proteinprotein interactions from Database of Interacting Prot ein. Complex tree: the unique framework of PINs was revealed by three topological properties of the giant component of PINs (GCOP), including rightskewed degree distributions, relatively sm all clustering coefficients and short characteristic path lengths. Furthermore, we proposed a no nlinearly growth model: complex tree model to reflect the tree framework, the simulation resu lts of this model showed that GCOPs were well represented by our model, which could be help ful for understanding the treestructure: basic framework of PINs. Source code and binaries freely available for download at http://cic.scu. edu.cn/bioinformatics/STM/STM_code.rar. 展开更多
关键词 complex networkS complex TREE PINS model SIMULATION
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RESEARCH ON KEY NODES OF WIRELESS SENSOR NETWORK BASED ON COMPLEX NETWORK THEORY
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作者 Ma Chuang Liu Hongwei Zuo Decheng Wu Zhibo Yang Xiaozong 《Journal of Electronics(China)》 2011年第3期396-401,共6页
On the basis of complex network theory, the issues of key nodes in Wireless Sensor Networks (WSN) are discussed. A model expression of sub-network fault in WSN is given at first; subsequently, the concepts of average ... On the basis of complex network theory, the issues of key nodes in Wireless Sensor Networks (WSN) are discussed. A model expression of sub-network fault in WSN is given at first; subsequently, the concepts of average path length and clustering coefficient are introduced. Based on the two concepts, a novel attribute description of key nodes related to sub-networks is proposed. Moreover, in terms of node deployment density and transmission range, the concept of single-point key nodes and generalized key nodes of WSN are defined, and their decision theorems are investigated. 展开更多
关键词 Wireless Sensor network (WSN) Key nodes Fault model complex network theory
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Joint optimization scheduling for water conservancy projects incomplex river networks 被引量:6
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作者 Qin Liu Guo-hua Fang +1 位作者 Hong-bin Sun Xue-wen Wu 《Water Science and Engineering》 EI CAS CSCD 2017年第1期43-52,共10页
In this study, we simulated water flow in a water conservancy project consisting of various hydraulic structures, such as sluices, pumping stations, hydropower stations, ship locks, and culverts, and developed a multi... In this study, we simulated water flow in a water conservancy project consisting of various hydraulic structures, such as sluices, pumping stations, hydropower stations, ship locks, and culverts, and developed a multi-period and multi-variable joint optimization scheduling model for flood control, drainage, and irrigation. In this model, the number of sluice holes, pump units, and hydropower station units to be opened were used as decision variables, and different optimization objectives and constraints were considered. This model was solved with improved genetic algorithms and verified using the Huaian Water Conservancy Project as an example. The results show that the use of the joint optimization scheduling led to a 10% increase in the power generation capacity and a 15% reduction in the total energy consumption. The change in the water level was reduced by 0.25 m upstream of the Yundong Sluice, and by 50% downstream of pumping stations No. 1, No. 2, and No. 4. It is clear that the joint optimization scheduling proposed in this study can effectively improve power generation capacity of the project, minimize operating costs and energy consumption, and enable more stable operation of various hydraulic structures. The results may provide references for the management of water conservancy projects in complex river networks. 展开更多
关键词 complex river network Water conservancy project Hydraulic structure Flow capacity simulation Scheduling model Optimal scheduling
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基于图论方法的多权重网络上随机SAIS模型指数稳定性分析
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作者 弋鑫 刘桂荣 《工程数学学报》 北大核心 2026年第1期63-76,共14页
研究了一类多权重复杂网络上具有意识衰减和人口异质性的随机SAIS传染病模型。利用图论的Kirchhoff矩阵树定理以及随机稳定性理论,将节点系统的Lyapunov函数和网络拓扑结构结合,构建多权重复杂网络的全局Lyapunov函数,给出了系统零解p... 研究了一类多权重复杂网络上具有意识衰减和人口异质性的随机SAIS传染病模型。利用图论的Kirchhoff矩阵树定理以及随机稳定性理论,将节点系统的Lyapunov函数和网络拓扑结构结合,构建多权重复杂网络的全局Lyapunov函数,给出了系统零解p阶矩指数稳定的充分条件。基于Erd¨os-R´eyni随机网络和WS小世界网络,通过数值仿真验证理论结果。 展开更多
关键词 随机传染病模型 多权重复杂网络 Kirchhoff矩阵树定理 LYAPUNOV函数 指数稳定性
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京津冀城市群大气复合污染预测与动态交叉传导特征分析
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作者 李洪敏 任仲秋 《环境科学》 北大核心 2026年第1期210-222,共13页
基于2017~2023年京津冀城市群空气质量指数(AQI)和PM_(2.5)等重要污染物浓度和气象指标数据,利用基于Copula函数的特征选择模型识别大气复合污染的关键特征,构建贝叶斯极限梯度提升(BOA-XGBoost)模型对城市群大气复合污染进行动态预测,... 基于2017~2023年京津冀城市群空气质量指数(AQI)和PM_(2.5)等重要污染物浓度和气象指标数据,利用基于Copula函数的特征选择模型识别大气复合污染的关键特征,构建贝叶斯极限梯度提升(BOA-XGBoost)模型对城市群大气复合污染进行动态预测,结合复杂网络分析与SHAP可解释模型探究城市间大气污染动态交叉传导特征.结果表明:(1)基于Copula函数的特征选择模型成功识别出与AQI高度相关的大气污染物为PM_(2.5)、PM_(10)、O_(3)和NO_(2),气象因素为平均气温和平均湿度.(2)与其他模型相比较,BOA-XGBoost模型在综合评价体系下表现最优,其中北京测试集的R^(2)、MAE、RMSE和MAPE分别达到0.970 4、 3.965 5、 8.351 8和0.062 4.(3)京津冀城市群污染传导网络逐步演变为“核心-边缘”模式,天津和沧州作为核心节点污染传导力减弱,张家口、承德和秦皇岛长期处于边缘地位.(4)城市子群间污染传导强度具有异质性,但内部污染传导减弱.污染物贡献表明,各子群PM_(2.5)和PM_(10)主导AQI变化,O_(3)次之,其他污染物影响小且复杂.(5)京津冀城市群主要由“双高型”和“双低型”城市构成,北京自2020年由“双高型”转为“汇入型”.天津和石家庄等“双高型”城市仍是污染传输核心. 展开更多
关键词 大气复合污染预测 动态交叉传导特征 Copula-XGBoost模型 贝叶斯优化 复杂网络分析
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Step-by-Step Random Walk Network with Power-Law Clique-Degree Distribution 被引量:2
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作者 杨涵新 汪秉宏 +2 位作者 刘建国 韩筱璞 周涛 《Chinese Physics Letters》 SCIE CAS CSCD 2008年第7期2718-2720,共3页
We propose a simple mechanism for generating scale-free networks with degree exponent γ=3, where the new node is connected to the existing nodes by step-by-step random walk. It is found that the clique-degree distrib... We propose a simple mechanism for generating scale-free networks with degree exponent γ=3, where the new node is connected to the existing nodes by step-by-step random walk. It is found that the clique-degree distribution based on our model obeys a power-law form, which is in agreement with the recently empirical evidences. In addition, our model displays the small-world effect and the hierarchical structure. 展开更多
关键词 SCIENTIFIC COLLABORATION networkS SMALL-WORLD networkS complex networkS model WEB
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