竞争K-Means,一种新的面向大数据集的精确分布式K-Means算法

R. Esteves, T. Hacker, Chunming Rong
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引用次数: 51

摘要

数据量的巨大增长创造了对新工具和算法的需求,以快速分析大型数据集。聚类分析技术,如K-means可以用于分布在多台机器上的大型数据集。K-means的准确性取决于初始化过程中种子质心的选择。k -means++改进了K-means播种器,但当它应用于大型数据集时存在问题:(a)它所采用的随机算法可能在相同初始条件下的多次分析运行中产生不一致的结果;(b)对于大型数据集,它的可扩展性很差。在本文中,我们描述了一个新的竞争性k均值算法,我们开发了解决这两个问题。我们描述了一个有效的MapReduce实现,我们发现我们的新竞争K-means算法在大型数据集上可以很好地扩展。将新算法与现有的三种聚类分析算法进行了性能比较,发现新算法提高了聚类分析的精度,减小了方差。结果表明,与串行K-means算法相比,新算法的速度提高了76±9倍,与流式K-means算法一样快。我们的工作提供了一种在更短的时间内选择良好的初始种子的方法,便于在更短的时间内对大型数据集进行准确的聚类分析。
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Competitive K-Means, a New Accurate and Distributed K-Means Algorithm for Large Datasets
The tremendous growth in data volumes has created a need for new tools and algorithms to quickly analyze large datasets. Cluster analysis techniques, such as K-means can be used for large datasets distributed across several machines. The accuracy of K-means depends on the selection of seed centroids during initialization. K-means++ improves on the K-means seeder, but suffers from problems when it is applied to large datasets: (a) the random algorithm it employs can produce inconsistent results across several analysis runs under the same initial conditions; and (b) it scales poorly for large datasets. In this paper we describe a new Competitive K-means algorithm we developed that addresses both of these problems. We describe an efficient MapReduce implementation of our new Competitive K-means algorithm that we found scales well with large datasets. We compared the performance of our new algorithm with three existing cluster analysis algorithms and found that our new algorithm improves cluster analysis accuracy and decreases variance. Our results show that our new algorithm produced a speedup of 76 ± 9 times compared with the serial K-means++ and is as fast as the Streaming K-means. Our work provides a method to select a good initial seeding in less time, facilitating accurate cluster analysis over large datasets in shorter time.
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