Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313227433> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4313227433 abstract "Motivated by practical generalizations of the classic k-median and k-means objectives, such as clustering with size constraints, fair clustering, and Wasserstein barycenter, we introduce a meta-theorem for designing coresets for constrained-clustering problems. The meta-theorem reduces the task of coreset construction to one on a bounded number of ring instances with a much-relaxed additive error. This reduction enables us to construct coresets using uniform sampling, in contrast to the widely-used importance sampling, and consequently we can easily handle constrained objectives. Notably and perhaps surprisingly, this simpler sampling scheme can yield coresets whose size is independent of n, the number of input points. Our technique yields smaller coresets, and sometimes the first coresets, for a large number of constrained clustering problems, including capacitated clustering, fair clustering, Euclidean Wasserstein barycenter, clustering in minor-excluded graph, and polygon clustering under Fréchet and Hausdorff distance. Finally, our technique yields also smaller coresets for 1-median in low-dimensional Euclidean spaces, specifically of size $tilde{O}(varepsilon^{-15})$ in $mathbb{R}^{2}$ and $tilde{O}(varepsilon^{-16})$ in $mathbb{R}^{3}$." @default.
- W4313227433 created "2023-01-06" @default.
- W4313227433 creator A5011636697 @default.
- W4313227433 creator A5020956181 @default.
- W4313227433 creator A5037378898 @default.
- W4313227433 creator A5053736722 @default.
- W4313227433 creator A5065286773 @default.
- W4313227433 creator A5074251728 @default.
- W4313227433 creator A5080748807 @default.
- W4313227433 date "2022-10-01" @default.
- W4313227433 modified "2023-09-26" @default.
- W4313227433 title "The Power of Uniform Sampling for Coresets" @default.
- W4313227433 doi "https://doi.org/10.1109/focs54457.2022.00051" @default.
- W4313227433 hasPublicationYear "2022" @default.
- W4313227433 type Work @default.
- W4313227433 citedByCount "2" @default.
- W4313227433 countsByYear W43132274332023 @default.
- W4313227433 crossrefType "proceedings-article" @default.
- W4313227433 hasAuthorship W4313227433A5011636697 @default.
- W4313227433 hasAuthorship W4313227433A5020956181 @default.
- W4313227433 hasAuthorship W4313227433A5037378898 @default.
- W4313227433 hasAuthorship W4313227433A5053736722 @default.
- W4313227433 hasAuthorship W4313227433A5065286773 @default.
- W4313227433 hasAuthorship W4313227433A5074251728 @default.
- W4313227433 hasAuthorship W4313227433A5080748807 @default.
- W4313227433 hasBestOaLocation W43132274332 @default.
- W4313227433 hasConcept C105795698 @default.
- W4313227433 hasConcept C106131492 @default.
- W4313227433 hasConcept C114614502 @default.
- W4313227433 hasConcept C118615104 @default.
- W4313227433 hasConcept C129782007 @default.
- W4313227433 hasConcept C132525143 @default.
- W4313227433 hasConcept C134306372 @default.
- W4313227433 hasConcept C140779682 @default.
- W4313227433 hasConcept C191399826 @default.
- W4313227433 hasConcept C2524010 @default.
- W4313227433 hasConcept C31972630 @default.
- W4313227433 hasConcept C33923547 @default.
- W4313227433 hasConcept C34388435 @default.
- W4313227433 hasConcept C41008148 @default.
- W4313227433 hasConcept C73555534 @default.
- W4313227433 hasConceptScore W4313227433C105795698 @default.
- W4313227433 hasConceptScore W4313227433C106131492 @default.
- W4313227433 hasConceptScore W4313227433C114614502 @default.
- W4313227433 hasConceptScore W4313227433C118615104 @default.
- W4313227433 hasConceptScore W4313227433C129782007 @default.
- W4313227433 hasConceptScore W4313227433C132525143 @default.
- W4313227433 hasConceptScore W4313227433C134306372 @default.
- W4313227433 hasConceptScore W4313227433C140779682 @default.
- W4313227433 hasConceptScore W4313227433C191399826 @default.
- W4313227433 hasConceptScore W4313227433C2524010 @default.
- W4313227433 hasConceptScore W4313227433C31972630 @default.
- W4313227433 hasConceptScore W4313227433C33923547 @default.
- W4313227433 hasConceptScore W4313227433C34388435 @default.
- W4313227433 hasConceptScore W4313227433C41008148 @default.
- W4313227433 hasConceptScore W4313227433C73555534 @default.
- W4313227433 hasLocation W43132274331 @default.
- W4313227433 hasLocation W43132274332 @default.
- W4313227433 hasOpenAccess W4313227433 @default.
- W4313227433 hasPrimaryLocation W43132274331 @default.
- W4313227433 hasRelatedWork W1871156538 @default.
- W4313227433 hasRelatedWork W2000144448 @default.
- W4313227433 hasRelatedWork W2024593554 @default.
- W4313227433 hasRelatedWork W2071261821 @default.
- W4313227433 hasRelatedWork W2552783079 @default.
- W4313227433 hasRelatedWork W2783752873 @default.
- W4313227433 hasRelatedWork W2980075598 @default.
- W4313227433 hasRelatedWork W2996267286 @default.
- W4313227433 hasRelatedWork W3003396734 @default.
- W4313227433 hasRelatedWork W2182538599 @default.
- W4313227433 isParatext "false" @default.
- W4313227433 isRetracted "false" @default.
- W4313227433 workType "article" @default.