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k-Clustering with Comparison and Distance Oracles

Summary: Clustering with oracle access (quadruplet and distance) when full data is unavailable. Constant-approx for k-center/k-median/k-means via O(nk) quadruplet and O(k^2) distance calls under adversarial/probabilistic noise; quadruplet-only sublinear-approx impossible for k-median/k-means; low-dimension gains with extra distance queries. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
1948
Venue
PODS
Year
2024
Pagerank
4.1945683e-05
Overall Rank
10,923 | 24.02%
DOI
10.1145/3695830

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