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arxiv: 1505.00482 · v1 · pith:C5WTVNSSnew · submitted 2015-05-03 · 🧮 math.ST · cs.LG· stat.ML· stat.TH

Risk Bounds For Mode Clustering

classification 🧮 math.ST cs.LGstat.MLstat.TH
keywords clusteringriskdensityhighclustercoresdimensionseven
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Density mode clustering is a nonparametric clustering method. The clusters are the basins of attraction of the modes of a density estimator. We study the risk of mode-based clustering. We show that the clustering risk over the cluster cores --- the regions where the density is high --- is very small even in high dimensions. And under a low noise condition, the overall cluster risk is small even beyond the cores, in high dimensions.

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