A uniform sample of size O(ε^{-2} log 1/ε) is a stable (ε, O(ε))-coreset for the geometric median with high probability, tight up to the log factor.
[BBB18] Johannes Bl¨ omer, Sascha Brauer, and Kathrin Bujna
2 Pith papers cite this work. Polarity classification is still indexing.
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Introduces approximation-preserving coresets that guarantee cost preservation for near-optimal solutions and proves that even tiny approximation-factor distortion forbids coresets of that size.
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Optimal Stable Coresets for Geometric Median via Uniform Sampling
A uniform sample of size O(ε^{-2} log 1/ε) is a stable (ε, O(ε))-coreset for the geometric median with high probability, tight up to the log factor.
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Approximation Preserving Coresets
Introduces approximation-preserving coresets that guarantee cost preservation for near-optimal solutions and proves that even tiny approximation-factor distortion forbids coresets of that size.