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Mining Approximate Order Preserving Clusters in the Presence of Noise. 在存在噪声的情况下挖掘近似保序聚类。
Pub Date : 2008-04-07 DOI: 10.1109/ICDE.2008.4497424
Mengsheng Zhang, Wei Wang, Jinze Liu

Subspace clustering has attracted great attention due to its capability of finding salient patterns in high dimensional data. Order preserving subspace clusters have been proven to be important in high throughput gene expression analysis, since functionally related genes are often co-expressed under a set of experimental conditions. Such co-expression patterns can be represented by consistent orderings of attributes. Existing order preserving cluster models require all objects in a cluster have identical attribute order without deviation. However, real data are noisy due to measurement technology limitation and experimental variability which prohibits these strict models from revealing true clusters corrupted by noise. In this paper, we study the problem of revealing the order preserving clusters in the presence of noise. We propose a noise-tolerant model called approximate order preserving cluster (AOPC). Instead of requiring all objects in a cluster have identical attribute order, we require that (1) at least a certain fraction of the objects have identical attribute order; (2) other objects in the cluster may deviate from the consensus order by up to a certain fraction of attributes. We also propose an algorithm to mine AOPC. Experiments on gene expression data demonstrate the efficiency and effectiveness of our algorithm.

子空间聚类因其在高维数据中发现突出模式的能力而备受关注。在高通量基因表达分析中,有序保留子空间聚类已被证明非常重要,因为功能相关的基因在一组实验条件下通常会共同表达。这种共同表达模式可以通过一致的属性排序来表示。现有的顺序保持聚类模型要求聚类中的所有对象都具有相同的属性顺序,不能有偏差。然而,由于测量技术的限制和实验的可变性,真实数据是有噪声的,这使得这些严格的模型无法揭示被噪声干扰的真实聚类。在本文中,我们研究了在存在噪声的情况下如何揭示保持顺序的聚类问题。我们提出了一种噪声容忍模型,称为近似秩序保持聚类(AOPC)。我们不要求集群中的所有对象都具有完全相同的属性顺序,而是要求:(1) 至少有一部分对象具有完全相同的属性顺序;(2) 集群中的其他对象可以偏离共识顺序,但最多只能偏离一定数量的属性。我们还提出了一种挖掘 AOPC 的算法。基因表达数据实验证明了我们算法的效率和有效性。
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Proceedings. International Conference on Data Engineering
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