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Coresets for Clustering Using Noisy Comparisons and Few Distance Queries

NeurIPS 2026 · Learning theory and algorithms › Clustering · approach: Coresets and dynamic clustering

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Studies coreset construction for clustering in the Rank-Measure model, using noisy comparison queries to a quadruplet oracle and few exact distance queries.

Problem

Standard clustering coresets assume full access to pairwise distances, which is costly in many settings; algorithms may only have noisy comparison access.

Approach

Builds coresets under the Rank-Measure model, where the algorithm makes noisy comparison queries to a quadruplet oracle and only a limited number of distance queries, rather than assuming full distance access.

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