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Creators/Authors contains: "Dhulipala, L"

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  1. We give an algorithm for Centroid-Linkage Hierarchical Agglomerative Clustering (HAC), which computes a $$c$$-approximate clustering in roughly $$n^{1+O(1/c^2)}$$ time. We obtain our result by combining a new Centroid-Linkage HAC algorithm with a novel fully dynamic data structure for nearest neighbor search which works under adaptive updates. We also evaluate our algorithm empirically. By leveraging a state-of-the-art nearest-neighbor search library, we obtain a fast and accurate Centroid-Linkage HAC algorithm. Compared to an existing state-of-the-art exact baseline, our implementation maintains the clustering quality while delivering up to a $$36\times$$ speedup due to performing fewer distance comparisons. 
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  2. null (Ed.)