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基于L-ISOMAP降维的快速模糊聚类算法
Fast fuzzy clustering algorithm based on L-ISOMAP for dimensional reduction
【摘要】 模糊C-均值聚类算法是非监督模式识别中广泛应用的算法之一。但是,FCM算法在迭代过程中需要大量的计算,尤其当特征向量维数较高时,使用聚类分堆训练,不仅效率低下,还有可能导致"维数灾难"。针对该问题,分析模糊C-均值聚类算法在高维特征分析过程中,聚类中心的求解问题是一个np-hard问题,为了提高模糊C-均值聚类算法在高维特征分析中的实时性与有效性,结合界标等距映射(L-ISOMAP)算法,提出了改进算法FCM-LI,先对样本初步分析,利用聚类结果及样本数据相关性,使用界标等距映射(L-ISOMAP)算法降维,在此基础上进一步分析,获得最终分析结果。通过实验证明,FCM-LI算法在高维数据分析过程中的有效性与实时性。
【Abstract】 Fuzzy C-means(FCM) clustering algorithm is one of the widely applied algorithms in non-supervision of pattern recognition.However,FCM algorithm in the iterative process requires a lot of calculations,especially when feature vectors has high-dimensional,using clustering algorithm to sub-heap,not only is inefficient,but also may lead to"the curse of dimension-ality".For the problem,this paper analyzes the fuzzy C-means clustering algorithm in high dimensional feature of the process,the problem of cluster center is an np-hard problem.In order to improve the effectiveness and real-time of fuzzy C-means clustering algorithm in high dimensional feature analysis,an improved algorithm FCM-LI is proposed combining of landmark isometric(L-ISOMAP) algorithm.It analyzes the samples preliminarily,uses clustering results and the correlation of sample da-ta,uses landmark isometric(L-ISOMAP) algorithm to reduce the dimension,further analyzes on the basis,obtains the final re-sults.Experimental results show that the effectiveness and real-time of FCM-LI algorithm in high dimensional feature analysis.
【Key words】 fuzzy C-means clustering; isometric feature mapping; nonlinear dimensionality reduction;
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2011年24期
- 【分类号】TP391.41
- 【被引频次】3
- 【下载频次】196