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Research map / Learning theory and algorithms / Clustering

Near-optimal Coresets for Robust Clustering

ICLR 2023 · Learning theory and algorithms › Clustering · approach: Coresets and dynamic clustering · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed coreset to run LL instead of on the full datasetLL for robust Means · Adult, Bank, Twitter, Census1990running time: 80x-250xHelped
Use the proposed coreset to run LS instead of on the full datasetLS for robust Median · Adult, Bank, Twitter, Census1990running time: 100x-200xHelped
Include the coreset construction time when running LL on the coresetLL for robust Means · Adult, Bank, Twitter, Census1990running time: 10x-30xHelped
Include the coreset construction time when running LS on the coresetLS for robust Median · Adult, Bank, Twitter, Census1990running time: 80x-140xHelped
Use the proposed coreset rather than uniform samplingRobust Median coreset construction · All four datasets and tested target sizesempirical errorHelped
Use the proposed coreset rather than sensitivity samplingRobust Median coreset construction · All four datasets and tested target sizesempirical errorHelped
Add the initial outliers to uniform sampling (OAUS instead of US) (ablation)Uniform-sampling coreset baseline · All tested datasetsempirical errorNo clear effect
Increase the number of outliers while keeping N - m fixed (ablation)Proposed coreset · Robust Median experimentsempirical errorNo clear effect
Use the proposed coreset to run LL instead of on the full datasetLL for robust Means · Adult, Bank, Twitter, Census1990clustering cost: $3.790\times 10^{13}$ -> $3.922\times 10^{13}$; $4.444\times 10^8$ -> $4.652\times 10^8$; $3.218\times 10^7$ -> $3.236\tMixed
Use the proposed coreset to run LS instead of on the full datasetLS for robust Median · Adult, Bank, Twitter, Census1990clustering cost: $1.100\times 10^9$ -> $1.107\times 10^9$; $4.717\times 10^6$ -> $4.721\times 10^6$; $1.476\times 10^6$ -> $1.451 \times Mixed

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