FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W265331393> ?p ?o ?g. }

• W265331393 abstract "We explore clustering problems in the streaming sliding window model in both general metric spaces and Euclidean space. We present the first polylogarithmic space $O(1)$-approximation to the metric $k$-median and metric $k$-means problems in the sliding window model, answering the main open problem posed by Babcock, Datar, Motwani and O'Callaghan, which has remained unanswered for over a decade. Our algorithm uses $O(k^3 log^6 n)$ space and $operatorname{poly}(k, log n)$ update time. This is an exponential improvement on the space required by the technique due to Babcock, et al. We introduce a data structure that extends smooth histograms as introduced by Braverman and Ostrovsky to operate on a broader class of functions. In particular, we show that using only polylogarithmic space we can maintain a summary of the current window from which we can construct an $O(1)$-approximate clustering solution. Merge-and-reduce is a generic method in computational geometry for adapting offline algorithms to the insertion-only streaming model. Several well-known coreset constructions are maintainable in the insertion-only streaming model using this method, including well-known coreset techniques for the $k$-median, $k$-means in both low-and high-dimensional Euclidean spaces. Previous work has adapted these techniques to the insertion-deletion model, but translating them to the sliding window model has remained a challenge. We give the first algorithm that, given an insertion-only streaming coreset construction of space $s$, maintains a $(1pmepsilon)$-approximate coreset in the sliding window model using $O(s^2epsilon^{-2}log n)$ space. For clustering problems, our results constitute the first significant step towards resolving problem number 20 from the List of Open Problems in Sublinear Algorithms." @default.
• W265331393 created "2016-06-24" @default.
• W265331393 creator A5026493959 @default.
• W265331393 creator A5053736722 @default.
• W265331393 creator A5055267502 @default.
• W265331393 creator A5061218267 @default.
• W265331393 date "2015-04-21" @default.
• W265331393 modified "2023-09-27" @default.
• W265331393 title "A Unified Approach for Clustering Problems on Sliding Windows" @default.
• W265331393 cites W176067329 @default.
• W265331393 cites W1891203375 @default.
• W265331393 cites W1965814422 @default.
• W265331393 cites W1965972569 @default.
• W265331393 cites W1967187838 @default.
• W265331393 cites W1981313592 @default.
• W265331393 cites W1981773323 @default.
• W265331393 cites W2003207175 @default.
• W265331393 cites W2012299525 @default.
• W265331393 cites W2019766199 @default.
• W265331393 cites W2031034601 @default.
• W265331393 cites W2035331345 @default.
• W265331393 cites W2049744118 @default.
• W265331393 cites W2058432775 @default.
• W265331393 cites W2068871408 @default.
• W265331393 cites W2080234606 @default.
• W265331393 cites W2100369465 @default.
• W265331393 cites W2118224498 @default.
• W265331393 cites W2124507579 @default.
• W265331393 cites W2151242668 @default.
• W265331393 cites W2207139684 @default.
• W265331393 cites W2293159451 @default.
• W265331393 cites W2404459678 @default.
• W265331393 cites W2952056844 @default.
• W265331393 cites W596522316 @default.
• W265331393 hasPublicationYear "2015" @default.
• W265331393 type Work @default.
• W265331393 sameAs 265331393 @default.
• W265331393 citedByCount "1" @default.
• W265331393 countsByYear W2653313932016 @default.
• W265331393 crossrefType "posted-content" @default.
• W265331393 hasAuthorship W265331393A5026493959 @default.
• W265331393 hasAuthorship W265331393A5053736722 @default.
• W265331393 hasAuthorship W265331393A5055267502 @default.
• W265331393 hasAuthorship W265331393A5061218267 @default.
• W265331393 hasConcept C102392041 @default.
• W265331393 hasConcept C111919701 @default.
• W265331393 hasConcept C11413529 @default.
• W265331393 hasConcept C114614502 @default.
• W265331393 hasConcept C118615104 @default.
• W265331393 hasConcept C124101348 @default.
• W265331393 hasConcept C129782007 @default.
• W265331393 hasConcept C154945302 @default.
• W265331393 hasConcept C162324750 @default.
• W265331393 hasConcept C176217482 @default.
• W265331393 hasConcept C186450821 @default.
• W265331393 hasConcept C198043062 @default.
• W265331393 hasConcept C21547014 @default.
• W265331393 hasConcept C2524010 @default.
• W265331393 hasConcept C2777611316 @default.
• W265331393 hasConcept C2778572836 @default.
• W265331393 hasConcept C2778751112 @default.
• W265331393 hasConcept C33923547 @default.
• W265331393 hasConcept C41008148 @default.
• W265331393 hasConcept C73555534 @default.
• W265331393 hasConceptScore W265331393C102392041 @default.
• W265331393 hasConceptScore W265331393C111919701 @default.
• W265331393 hasConceptScore W265331393C11413529 @default.
• W265331393 hasConceptScore W265331393C114614502 @default.
• W265331393 hasConceptScore W265331393C118615104 @default.
• W265331393 hasConceptScore W265331393C124101348 @default.
• W265331393 hasConceptScore W265331393C129782007 @default.
• W265331393 hasConceptScore W265331393C154945302 @default.
• W265331393 hasConceptScore W265331393C162324750 @default.
• W265331393 hasConceptScore W265331393C176217482 @default.
• W265331393 hasConceptScore W265331393C186450821 @default.
• W265331393 hasConceptScore W265331393C198043062 @default.
• W265331393 hasConceptScore W265331393C21547014 @default.
• W265331393 hasConceptScore W265331393C2524010 @default.
• W265331393 hasConceptScore W265331393C2777611316 @default.
• W265331393 hasConceptScore W265331393C2778572836 @default.
• W265331393 hasConceptScore W265331393C2778751112 @default.
• W265331393 hasConceptScore W265331393C33923547 @default.
• W265331393 hasConceptScore W265331393C41008148 @default.
• W265331393 hasConceptScore W265331393C73555534 @default.
• W265331393 hasLocation W2653313931 @default.
• W265331393 hasOpenAccess W265331393 @default.
• W265331393 hasPrimaryLocation W2653313931 @default.
• W265331393 hasRelatedWork W1596674180 @default.
• W265331393 hasRelatedWork W1730086345 @default.
• W265331393 hasRelatedWork W1950779386 @default.
• W265331393 hasRelatedWork W209373873 @default.
• W265331393 hasRelatedWork W2116314660 @default.
• W265331393 hasRelatedWork W2264057010 @default.
• W265331393 hasRelatedWork W2290182846 @default.
• W265331393 hasRelatedWork W2295466155 @default.
• W265331393 hasRelatedWork W2498954876 @default.
• W265331393 hasRelatedWork W2596841574 @default.
• W265331393 hasRelatedWork W2626428686 @default.
• W265331393 hasRelatedWork W2766374033 @default.
• W265331393 hasRelatedWork W2962830650 @default.

• next