CRD:利用基于采样的矩阵分解对大型数据集进行快速协同聚类。

Proceedings. International Conference on Data Engineering Pub Date : 2008-04-25 Epub Date: 2008-04-07
Feng Pan, Xiang Zhang, Wei Wang
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引用次数: 0

摘要

在文本数据挖掘、微阵列分析和推荐系统分析等重要应用中,会出现同时对列和行进行聚类(共聚类)的问题。与经典聚类算法相比,共聚类算法在发现数据矩阵中隐藏的聚类结构方面更为有效。以往的共聚类算法的复杂度通常为 O(m×n),其中 m 和 n 分别为数据矩阵中的行数和列数。这就限制了它们对涉及大量列和行的数据矩阵的适用性。此外,在协同聚类过程中,一些庞大的数据集无法完全保存在主内存中,这也违反了之前算法的假设。在本文中,我们提出了一种用于快速对大型数据集进行协同聚类的通用框架--CRD。通过利用最近开发的基于抽样的矩阵分解方法,CRD 的执行时间与 m 和 n 成线性关系。我们在真实数据和合成数据上进行了大量实验。与之前的协同聚类算法相比,CRD 的精确度具有竞争力,但计算成本却大大降低。
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CRD: Fast Co-clustering on Large Datasets Utilizing Sampling-Based Matrix Decomposition.

The problem of simultaneously clustering columns and rows (co-clustering) arises in important applications, such as text data mining, microarray analysis, and recommendation system analysis. Compared with the classical clustering algorithms, co-clustering algorithms have been shown to be more effective in discovering hidden clustering structures in the data matrix. The complexity of previous co-clustering algorithms is usually O(m × n), where m and n are the numbers of rows and columns in the data matrix respectively. This limits their applicability to data matrices involving a large number of columns and rows. Moreover, some huge datasets can not be entirely held in main memory during co-clustering which violates the assumption made by the previous algorithms. In this paper, we propose a general framework for fast co-clustering large datasets, CRD. By utilizing recently developed sampling-based matrix decomposition methods, CRD achieves an execution time linear in m and n. Also, CRD does not require the whole data matrix be in the main memory. We conducted extensive experiments on both real and synthetic data. Compared with previous co-clustering algorithms, CRD achieves competitive accuracy but with much less computational cost.

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