Constrains optimal propagation-based modified semi-supervised spectral clustering for large-scale data

Dayu Xu, Xuyao Zhang, Jiaqi Huang, Hailin Feng
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Abstract

We focus on the problem of high computational complexity in the clustering process of traditional spectral clustering algorithm that cannot satisfy the requirement of current large-scale data clustering applications. In this article, we establish a constrained optimal propagation based semi-supervised large-scale data clustering model. In this model, micro similarity matrix is constructed by using prior dotted pair constraint information at first. On this basis, the Gabow algorithm is exploited to extract each strongly connected component from the micro similarity matrix that is represented by its connected graph. Then, a new constrained optimisation propagation algorithm for each strongly connected component is proposed to calculate the similarity of the whole dataset. Finally, we employ the singular value decomposition and the accelerated k-means algorithm to obtain the clustering results of large-scale data. Experiments on multiple standard testing datasets show that compared with other previous research results in this field, the proposed clustering model has higher clustering accuracy and lower computation complexity, and is more suitable for large-scale data clustering applications.
约束基于最优传播的改进半监督谱聚类的大规模数据
重点研究了传统谱聚类算法在聚类过程中计算复杂度高的问题,不能满足当前大规模数据聚类应用的要求。本文建立了一种基于约束最优传播的半监督大规模数据聚类模型。该模型首先利用先验点对约束信息构造微观相似矩阵。在此基础上,利用Gabow算法从其连通图表示的微相似矩阵中提取各强连通分量。然后,提出了一种新的强连通分量约束优化传播算法来计算整个数据集的相似度。最后,我们采用奇异值分解和加速k-means算法来获得大规模数据的聚类结果。在多个标准测试数据集上的实验表明,与该领域其他研究成果相比,本文提出的聚类模型具有更高的聚类精度和更低的计算复杂度,更适合大规模数据聚类应用。
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