matlab代码影响-2021icm-problemD:2021美国大学生数学建模比赛,problemD,音乐影响网络

上传者: 38680506 | 上传时间: 2021-06-27 19:49:55 | 文件大小: 6.48MB | 文件类型: ZIP
matlab代码影响 2021 ICM ProblemD 音乐影响网络 模型 音乐影响网络 建立加权有向图,基础权重取决于influencer和follower的流派一致性,权重根据被影响者受到的影响人数目进行修正。 使用python(networkx库)计算图的连通性、聚集系数、度分布情况,并确定网络为幂律分布(无标度网络),基于极大似然估计计算幂律指数,使用KS检验分布。 计算节点的Cluster Coefficient、Degree Centrality、Closeness Centrality、Betweenness Centrality、Weighted PageRank,以上指标均尽可能利用图的有向性和权重进行计算。例如,PageRank在计算时,为节点分配不同的权重,取决于节点的出度。 计算节点的总影响力,为以上各个指标的加权平均,系数的确定后续进行敏感性分析。 子网分析 选取一个音乐人,使用dfs深度优先遍历,得到以其为初始点的一个子图,计算子图的各个指标,并结合实际情况对影响关系进行分析。 数据来源于Networkx库,导出数据,图使用Gephi进行制作。 具体影响力

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