CN101887573A - Method and system for social network clustering association analysis based on core points - Google Patents
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Abstract
本发明提供基于核心点的社会网络聚类关联分析方法及系统,其中,该方法包括:得到社会网络的平稳时间段;对平稳时间段的社会网络进行近似,得到社会网络近似图;求出所述社会网络近似图中的极大团;根据极大团之间共有点所占相应极大团的比重,将所述极大团进行归并,得到社团;根据相似度,关联不同时刻的社团。本发明对得到的平稳时间段的社会网络进行近似,这种近似的方法可以有效的减少噪声在后续分析中的影响,同时也保留了社会网络的基本特征,使得分析结果更为准确。在发现社团的过程中,直接对极大团进行归并,可以快速地发现社团,进而快速地得到分析结果。
The present invention provides a social network clustering association analysis method and system based on core points, wherein the method includes: obtaining the stable time period of the social network; approximating the social network in the stable time period to obtain an approximate graph of the social network; The maximum cliques in the social network approximation graph; according to the proportion of the common points between the maximum cliques to the corresponding maximum cliques, merge the maximum cliques to obtain the community; according to the similarity, associate the communities at different times. The present invention approximates the obtained social network in a stable time period, and this approximation method can effectively reduce the influence of noise in subsequent analysis, and meanwhile retain the basic features of the social network, making the analysis result more accurate. In the process of discovering communities, directly merging extremely large groups can quickly discover communities, and then quickly obtain analysis results.
Description
技术领域technical field
本发明涉及基于核心点的社会网络聚类关联分析方法及系统。The invention relates to a core point-based social network clustering association analysis method and system.
背景技术Background technique
目前数据挖掘任务处理的对象主要是单独的数据实例,这些数据实例往往可以用一个包含多个属性值的向量来表示,同时这些数据实例之间假设是统计上独立的。例如,要训练一个疾病诊断系统,它的任务是诊断一个被试者是否患有某种传染病,通常的做法是用一个向量来表示一个被试者,同时假设各被试者之间的患病情况是相互独立的,即知道一个确诊病人对于诊断其他被试者是否患病不能提供任何帮助。直观经验告诉我们这种假设是不合理的,一个人的亲戚、朋友患有此传染病,则他相对其他人有更大的可能性患病。在社会里,人与人不是简单的统计上独立的采样点,他们之间必然存在着联系和影响,忽视了这种联系会对整个诊断系统的性能带来很大的影响。为了解决这个问题,必须将数据实例之间的关系同时考虑进来,从而提出了社会网络的概念,可以用图结构来刻画社会结构。At present, the objects processed by data mining tasks are mainly individual data instances, which can often be represented by a vector containing multiple attribute values, and these data instances are assumed to be statistically independent. For example, to train a disease diagnosis system, its task is to diagnose whether a subject suffers from a certain infectious disease, the usual practice is to use a vector to represent a subject, and at the same time assume that the relationship between the subjects The disease conditions are independent of each other, that is, knowing a confirmed patient does not provide any help in diagnosing whether other subjects have the disease. Intuitive experience tells us that this assumption is unreasonable. If a person's relatives and friends suffer from the infectious disease, he is more likely to get the disease than other people. In society, people are not simply statistically independent sampling points. There must be connections and influences between them. Ignoring this connection will have a great impact on the performance of the entire diagnostic system. In order to solve this problem, the relationship between data instances must be taken into account at the same time, thus the concept of social network is proposed, and the social structure can be described by graph structure.
社会网络包括很多节点和连接这些节点的一种或多种特定的链接。其中,节点往往表示了个人、团体、人、文章和/或服务器等物理存在的实体;链接则表示节点之间存在的各种关系,如朋友关系、亲属关系、贸易关系、引用关系等。社会网络除了图结构表示之外,还有其他社会学形式和代数形式的表示方式。A social network includes many nodes and one or more specific links connecting these nodes. Among them, nodes often represent physical entities such as individuals, groups, people, articles, and/or servers; links represent various relationships between nodes, such as friend relationships, kinship relationships, trade relationships, and reference relationships. In addition to graph structure representations, social networks have other representations in sociological and algebraic forms.
在很多情况下,链接随着时间不断改变,那么对社会网络的分析需要对一段时间内的社会网络变化情况进行分析,目前,主要是将分析的时间段等分后进行分段分析即增量分析。然而,在实际情况中,事物的发生发展不是均匀的,增量分析方法无法准确分析出社会网络中的噪声和事件,其中,噪声是指与社会网络分析主题无关的联系,主要由具有社会化特征的个体行为的随机性和不确定性造成的,例如拨错电话号码而造成的无效通话;事件是指与社会网络分析主题相关的异常联系,例如人们在春节期间的通话。增量分析方法,一方面,可能会在分析过程中放大噪声,或者往往无法捕捉该时间段中对事物发展产生重大变化的演变点(事件),从而无法提供准确的分析结果,如何快速地得到准确的分析结果,直接影响社会网络分析的效率。In many cases, links change over time, so the analysis of social networks requires the analysis of changes in social networks over a period of time. At present, the main method is to divide the time period of analysis into equal segments and perform segmental analysis, that is, incremental analyze. However, in the actual situation, the occurrence and development of things are not uniform, and the incremental analysis method cannot accurately analyze the noise and events in the social network. Among them, the noise refers to the connection that has nothing to do with the subject of social network analysis, mainly caused by the social network. It is caused by the randomness and uncertainty of individual behaviors, such as invalid calls caused by dialing the wrong phone number; events refer to abnormal connections related to the subject of social network analysis, such as people's calls during the Spring Festival. Incremental analysis methods, on the one hand, may amplify noise during the analysis process, or often fail to capture the evolution points (events) that have caused major changes in the development of things during this time period, and thus cannot provide accurate analysis results. How to quickly get Accurate analysis results directly affect the efficiency of social network analysis.
发明内容Contents of the invention
因此,本发明的目的在于提供基于核心点的社会网络聚类关联分析方法及系统,快速地得到准确的分析结果。Therefore, the object of the present invention is to provide a method and system for analyzing social network clustering associations based on core points, so as to quickly obtain accurate analysis results.
为实现本发明的上述目的,提供一种基于核心点的社会网络聚类关联分析方法及系统,包括:In order to achieve the above-mentioned purpose of the present invention, a kind of core point-based social network clustering association analysis method and system are provided, including:
得到社会网络的平稳时间段;Get the stationary time period of the social network;
对平稳时间段的社会网络进行近似,得到社会网络近似图;Approximating the social network in the stationary time period to obtain an approximate graph of the social network;
求出所述社会网络近似图中的极大团;finding the maximal cliques in the social network approximation graph;
根据极大团之间共有点所占相应极大团的比重,将所述极大团进行归并,得到社团;According to the proportion of the corresponding maximum cliques in the common points between the maximum cliques, the maximum cliques are merged to obtain a community;
根据相似度,关联不同时刻的社团。According to the similarity, the associations at different moments are associated.
优选地,所述对平稳时间段的社会网络进行近似包括:Preferably, said approximating the social network in the stationary period includes:
初始化空网络;Initialize an empty network;
将所述平稳时间段的社会网络的边集排序;sorting the edge sets of the social network in the stationary time period;
按顺序将边集加入所述空网络中,直至所述空网络与所述平稳时间段的社会网络的偏差最小,得到所述平稳时间段的社会网络近似图。Adding edge sets to the empty network in order until the deviation between the empty network and the social network in the stable time period is the smallest, and obtaining an approximate graph of the social network in the stable time period.
优选地,所述排序顺序为降序。Preferably, the sort order is descending order.
优选地,所述根据极大团之间共有点所占相应极大团的比重,将所述极大团进行归并包括:Preferably, the merging of the maximal cliques according to the proportion of the corresponding maximal cliques of the common points between the maximal cliques includes:
当两个极大团之间共有点的点数大于等于点数少的极大团的点数减N时,将该两个极大团归并,其中,N为大于0小于点数少的极大团点数的整数。When the number of common points between two maximal cliques is greater than or equal to the number of points of the maximal clique with fewer points minus N, merge the two maximal cliques, where N is greater than 0 and less than the number of points of the maximal clique with fewer points integer.
优选地,所述N为1。Preferably, said N is 1.
优选地,所述相似度包括社团的点重合度和/或结构的相似性。Preferably, the similarity includes community point coincidence and/or structural similarity.
优选地,还包括:Preferably, it also includes:
分析所述社团结构的紧密程度;Analyze the tightness of said community structure;
和/或,分析所述社团内部各点之间边权重分布的均匀程度。And/or, analyzing the degree of uniformity of edge weight distribution among points in the community.
本发明还提供一种基于核心点的社会网络聚类关联分析方法及系统,其特征在于,该系统包括:The present invention also provides a core point-based social network clustering association analysis method and system, characterized in that the system includes:
平稳单元,用于得到社会网络的平稳时间段;The stationary unit is used to obtain the stationary time period of the social network;
近似单元,用于对平稳时间段的社会网络进行近似,得到社会网络近似图;The approximation unit is used to approximate the social network in the stationary time period to obtain a social network approximation graph;
计算单元,用于求出所述社会网络近似图中的极大团;A calculation unit, used to find the maximal clique in the social network approximation graph;
社团单元,用于根据极大团之间共有点所占相应极大团的比重,将所述极大团进行归并,得到社团;The community unit is used to merge the maximum cliques according to the proportion of the corresponding maximum cliques in the common points between the maximum cliques to obtain the community;
追踪单元,用于根据相似度,关联不同时刻的社团。The tracking unit is used to associate communities at different moments according to the similarity.
优选地,所述近似单元包括:Preferably, the approximation unit includes:
初始化子单元,用于初始化空网络;Initialize subunits for initializing empty networks;
排序子单元,用于将所述平稳时间段的社会网络的边集排序;a sorting subunit, configured to sort the edge sets of the social network in the stationary time period;
近似子单元,用于按顺序将边集加入所述空网络中,直至所述空网络与所述平稳时间段的社会网络的偏差最小,得到所述平稳时间段的社会网络近似图。该系统还包括:The approximation subunit is configured to add edge sets to the empty network in order until the deviation between the empty network and the social network in the stationary time period is the smallest, and obtain an approximate graph of the social network in the stationary time period. The system also includes:
分析单元,用于分析所述社团结构的紧密程度;和/或,分析所述社团内部各点之间边权重分布的均匀程度。An analysis unit, configured to analyze the tightness of the community structure; and/or, analyze the uniformity of edge weight distribution among points within the community.
本发明的有益效果是:The beneficial effects of the present invention are:
本发明对得到的平稳时间段的社会网络进行近似,这种近似的方法可以有效的减少噪声在后续分析中的影响,同时也保留了社会网络的基本特征,使得分析结果更为准确。在社会网络近似图的基础上,采用进行极大团的求取及归并的方法,发现社团;以社团作为后续聚类关联的核心点,且在发现社团的过程中,直接对极大团进行归并,相对于现有技术比较极大团,根据比较结果建立极大团之间的关联关系,根据关联关系进行极大团合并的方式,本发明的技术方案节省了大量存储关联关系的空间,且避免了归并之前的多次比较,可以快速地发现社团,进而快速地得到分析结果。The present invention approximates the obtained social network in a stable time period, and this approximation method can effectively reduce the influence of noise in subsequent analysis, and meanwhile retain the basic features of the social network, making the analysis result more accurate. On the basis of the approximate graph of the social network, the method of finding and merging the maximum clique is used to discover the community; the community is used as the core point of the subsequent clustering association, and in the process of discovering the community, the maximum clique is directly analyzed Merging, compared with the prior art to compare the maximum cliques, establish the association relationship between the maximum cliques according to the comparison results, and perform the merging of the maximum cliques according to the association relationship, the technical solution of the present invention saves a lot of storage space for the association relationship, And avoiding multiple comparisons before merging, communities can be quickly discovered, and then analysis results can be quickly obtained.
附图说明Description of drawings
图1示出本发明实施例中基于核心点的社会网络聚类关联分析方法的流程示意图;Fig. 1 shows a schematic flow diagram of a social network clustering association analysis method based on core points in an embodiment of the present invention;
图2示出本发明实施例中基于核心点的社会网络聚类关联分析方法的应用流程示意图;FIG. 2 shows a schematic diagram of the application process of the core point-based social network clustering association analysis method in the embodiment of the present invention;
图3示出本发明实施例中平稳时间段的社会网络近似结构示意图;FIG. 3 shows a schematic diagram of an approximate structure of a social network in a stationary time period in an embodiment of the present invention;
图4示出本发明实施例中极大团的结构示意图;Fig. 4 shows a schematic structural diagram of a very large cluster in an embodiment of the present invention;
图5示出本发明实施例中社团追踪的结构示意图;Fig. 5 shows a schematic structural diagram of community tracking in an embodiment of the present invention;
图6示出本发明实施例中基于核心点的社会网络聚类关联分析系统的结构示意图。FIG. 6 shows a schematic structural diagram of a social network clustering association analysis system based on core points in an embodiment of the present invention.
具体实施方式Detailed ways
以下结合附图详细说明本发明的基于核心点的社会网络聚类关联分析方法及系统。为了避免噪声,本发明采用近似图结构刻画平稳演化阶段的社会网络。The core point-based social network clustering association analysis method and system of the present invention will be described in detail below with reference to the accompanying drawings. In order to avoid noise, the present invention uses an approximate graph structure to describe a social network in a steady evolution stage.
请参阅图1,一种基于核心点的社会网络聚类关联分析方法及系统,包括:Please refer to Figure 1, a core point-based social network clustering association analysis method and system, including:
得到社会网络的平稳时间段;Get the stationary time period of the social network;
对平稳时间段的社会网络进行近似,得到社会网络近似图;Approximating the social network in the stationary time period to obtain an approximate graph of the social network;
求出所述社会网络近似图中的极大团;finding the maximal cliques in the social network approximation graph;
根据极大团之间共有点所占相应极大团的比重,将所述极大团进行归并,得到社团;According to the proportion of the corresponding maximum cliques in the common points between the maximum cliques, the maximum cliques are merged to obtain a community;
根据相似度,关联不同时刻的社团。According to the similarity, the associations at different moments are associated.
所述对平稳时间段的社会网络进行近似包括:The approximation of the social network in the stationary time period includes:
初始化空网络;Initialize an empty network;
将所述平稳时间段的社会网络的边集排序;sorting the edge sets of the social network in the stationary time period;
按顺序将边集加入所述空网络中,直至所述空网络与所述平稳时间段的社会网络的偏差最小,得到所述平稳时间段的社会网络近似图。Adding edge sets to the empty network in order until the deviation between the empty network and the social network in the stable time period is the smallest, and obtaining an approximate graph of the social network in the stable time period.
优选地,所述排序顺序为降序。Preferably, the sort order is descending order.
优选地,所述根据极大团之间共有点所占相应极大团的比重,将所述极大团进行归并包括:Preferably, the merging of the maximal cliques according to the proportion of the corresponding maximal cliques of the common points between the maximal cliques includes:
当两个极大团之间共有点的点数大于等于点数少的极大团的点数减N时,将该两个极大团归并,其中,N为大于0小于点数少的极大团点数的整数。When the number of common points between two maximal cliques is greater than or equal to the number of points of the maximal clique with fewer points minus N, merge the two maximal cliques, where N is greater than 0 and less than the number of points of the maximal clique with fewer points integer.
优选地,所述N为1。Preferably, said N is 1.
在社会网络近似图的基础上,采用进行极大团的求取及归并的方法,发现社团;以社团作为后续聚类关联的核心点,且在发现社团的过程中,直接对极大团进行归并,相对于现有技术比较极大团,根据比较结果建立极大团之间的关联关系,根据关联关系进行极大团合并的方式,本发明的技术方案节省了大量存储关联关系的空间,且避免了归并之前的多次比较,可以快速地发现社团,进而快速地得到分析结果。On the basis of the approximate graph of the social network, the method of finding and merging the maximum clique is used to discover the community; the community is used as the core point of the subsequent clustering association, and in the process of discovering the community, the maximum clique is directly analyzed Merging, compared with the prior art to compare the maximum cliques, establish the association relationship between the maximum cliques according to the comparison results, and perform the merging of the maximum cliques according to the association relationship, the technical solution of the present invention saves a lot of storage space for the association relationship, And avoiding multiple comparisons before merging, communities can be quickly discovered, and then analysis results can be quickly obtained.
优选地,所述相似度包括社团的点重合度和/或结构的相似性。Preferably, the similarity includes community point coincidence and/or structural similarity.
优选地,还包括:Preferably, it also includes:
分析所述社团结构的紧密程度;Analyze the tightness of said community structure;
和/或,分析所述社团内部各点之间边权重分布的均匀程度。And/or, analyzing the degree of uniformity of edge weight distribution among points in the community.
社会网络的演化是一个平稳和事件交替出现的过程。通过对事件(演化点)发生前后两个平稳时间段的社会网络的特征抽取,对比它们在这两个时间段的不同,从而精确快速的发现网络演化过程中事件的发生,并且揭示该事件对网络演化所产生的影响。The evolution of social network is a process of steady and alternating events. By extracting the features of the social network in two stable time periods before and after the event (evolution point), comparing their differences in these two time periods, we can accurately and quickly discover the occurrence of events in the network evolution process, and reveal the impact of the event on The impact of network evolution.
请参阅图2,对基于核心点的社会网络聚类关联分析方法进行应用举例:Please refer to Figure 2 for an example of the application of the core point-based social network clustering association analysis method:
201、数据:接受用户输入的社会网络数据;201. Data: Accept social network data input by users;
202、平稳时间段近似:采用启发式方法,初始化一个空网络,然后将网络的边集按降序排序,并按照顺序不断加入到网络中,使得增加边之后的网络与这个时间段的网络的偏差最小,最后得到这个时间段的近似图,例如,请参阅图3,第一网络301-1、第二网络301-2、第三网络301-3和第四网络301-4分别为依时间先后的四个网络,它们属于同一个平稳时间段,近似图302为这个时间段的近似图;202. Approximation of a stable time period: use a heuristic method to initialize an empty network, then sort the edge sets of the network in descending order, and continuously add them to the network in order, so that the deviation between the network after adding edges and the network of this time period minimum, and finally obtain an approximate graph of this time period, for example, please refer to FIG. The four networks of , they belong to the same stable time period, and the approximate figure 302 is an approximate figure of this time period;
社团发现包括:Community findings include:
203、找clique(图中极大完全子图,即极大团):对于给定近似图,找出所有clique,例如,请参阅图4,存在两个clique,分别为{1,2,4,5}和{2,3,4};203. Find clique (maximum complete subgraph in the figure, i.e. maximum clique): for a given approximate graph, find all cliques, for example, please refer to Figure 4, there are two cliques, respectively {1, 2, 4 , 5} and {2, 3, 4};
204、合并部分clique:对任意两个有公共点的clique,如果其公共点个数达到这两个clique中较小的一个clique的size-1(size的值为极大团中的节点数),那么这两个clique就进行合并。该步骤迭代运行,直至没有clique合并再次发生。204. Merge partial cliques: For any two cliques with common points, if the number of common points reaches the size-1 of the smaller clique of the two cliques (the value of size is the number of nodes in the maximum clique) , then the two cliques are merged. This step runs iteratively until no clique merging occurs again.
205、划分重叠节点:把重叠的节点划分给其中某个社团,得到非重叠社团;205. Divide overlapping nodes: divide overlapping nodes into one of the communities to obtain non-overlapping communities;
206、吸收特殊节点:把原先不在某个社团中的节点吸收进来;206. Absorb special nodes: absorb nodes that were not in a certain community;
207、合并紧密社团:合并紧密关联的社团。207. Merge close associations: Merge closely related associations.
208、社团追踪:针对于不同时刻发现的社团,考虑社团的点重合度和结构的相似性,将它们关联起来,例如,请参与图5,d图与a图最相似;208. Community tracking: For the communities discovered at different times, consider the point coincidence and structural similarity of the communities, and associate them. For example, please refer to Figure 5, the figure d is most similar to the figure a;
209、社团演化:根据追踪到的社团,从以下两个方面对社团的性质进行评价:a)社团结构的紧密程度;b)社团内部各点之间边权重分布的均匀程度。209. Community evolution: According to the tracked community, the nature of the community is evaluated from the following two aspects: a) the tightness of the community structure; b) the uniformity of the edge weight distribution among the points within the community.
现有的社团发现的方法,由于其在进行clique合并前要建立clique间的关联关系(是否具有k-1个公共点),而这种关系的建立需要进行多次clique间的比较。当图中clique结构较多且关联较紧密时,会极大的影响该方法的效率;同时还需要保存大量clique间的关系,从而造成内存的大量开销。In the existing method of community discovery, it is necessary to establish an association relationship between cliques (whether there are k-1 common points) before merging cliques, and the establishment of this relationship requires multiple comparisons between cliques. When there are many clique structures in the figure and they are closely related, the efficiency of the method will be greatly affected; at the same time, a large number of relationships between cliques need to be saved, resulting in a large amount of memory overhead.
本方案在社团发现的过程中,采用立即合并策略,提高了合并效率同时节省了内存开销,提高了分析速度。In the process of community discovery, this scheme adopts the immediate merging strategy, which improves the merging efficiency, saves memory overhead, and improves the analysis speed.
本发明还提供一种基于核心点的社会网络聚类关联分析方法及系统,其特征在于,该系统包括:The present invention also provides a core point-based social network clustering association analysis method and system, characterized in that the system includes:
平稳单元,用于得到社会网络的平稳时间段;The stationary unit is used to obtain the stationary time period of the social network;
近似单元,用于对平稳时间段的社会网络进行近似,得到社会网络近似图;The approximation unit is used to approximate the social network in the stationary time period to obtain a social network approximation graph;
计算单元,用于求出所述社会网络近似图中的极大团;A calculation unit, used to find the maximal clique in the social network approximation graph;
社团单元,用于根据极大团之间共有点所占相应极大团的比重,将所述极大团进行归并,得到社团;The community unit is used to merge the maximum cliques according to the proportion of the corresponding maximum cliques in the common points between the maximum cliques to obtain the community;
追踪单元,用于根据相似度,关联不同时刻的社团。The tracking unit is used to associate communities at different moments according to the similarity.
优选地,所述近似单元包括:Preferably, the approximation unit includes:
初始化子单元,用于初始化空网络;Initialize the subunit, used to initialize the empty network;
排序子单元,用于将所述平稳时间段的社会网络的边集排序;a sorting subunit, configured to sort the edge sets of the social network in the stationary time period;
近似子单元,用于按顺序将边集加入所述空网络中,直至所述空网络与所述平稳时间段的社会网络的偏差最小,得到所述平稳时间段的社会网络近似图。该系统还包括:The approximation subunit is configured to add edge sets to the empty network in order until the deviation between the empty network and the social network in the stationary time period is the smallest, and obtain an approximate graph of the social network in the stationary time period. The system also includes:
分析单元,用于分析所述社团结构的紧密程度;和/或,分析所述社团内部各点之间边权重分布的均匀程度。An analysis unit, configured to analyze the tightness of the community structure; and/or, analyze the uniformity of edge weight distribution among points within the community.
尽管以上参照具体实施方式详细描述了本发明,但是对于本领域技术人员而言,在本文的教示下可以对本发明作出各种修改和变形,而不脱离本发明的实质和范围。Although the present invention has been described in detail above with reference to specific embodiments, those skilled in the art can make various modifications and variations to the present invention under the teaching herein without departing from the essence and scope of the present invention.
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