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arXiv 2108.00895cs.LGcs.AIcs.DS
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一种高效的稀疏球形k均值文档聚类算法

Efficient Sparse Spherical k-Means for Document Clustering

University of Stuttgart(斯图加特大学)

Johannes Knittel, Steffen Koch, Thomas Ertl

摘要:

球形k-Means经常用于对文档集合进行聚类,因为它在许多设置中表现良好,并且计算效率很高。然而,时间复杂度随着聚类数k线性增加,这限制了算法对取决于集合大小的较大k值的适用性。针对欧几里德k均值算法的优化在很大程度上不适用,因为余弦距离不是度量。因此,我们提出了一个有效的索引结构,以提高球形k-Means相对于k的可扩展性。我们的方法利用了输入向量的稀疏性和k-Means的收敛行为,以显着减少每次迭代的比较次数。

英文摘要:

Spherical k-Means is frequently used to cluster document collections because it performs reasonably well in many settings and is computationally efficient. However, the time complexity increases linearly with the number of clusters k, which limits the suitability of the algorithm for larger values of k depending on the size of the collection. Optimizations targeted at the Euclidean k-Means algorithm largely do not apply because the cosine distance is not a metric. We therefore propose an efficient indexing structure to improve the scalability of Spherical k-Means with respect to k. Our approach exploits the sparsity of the input vectors and the convergence behavior of k-Means to reduce the number of comparisons on each iteration significantly.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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