Matches in SemOpenAlex for { <https://semopenalex.org/work/W3190440158> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W3190440158 endingPage "180" @default.
- W3190440158 startingPage "164" @default.
- W3190440158 abstract "We present a low-constant approximation for the metric k-median problem on insertion-only streams using O(ε−3klogn) space. In particular, we present a streaming (O(ε−3klogn),2+ε)-bicriterion solution that reports cluster weights. Running the offline approximation algorithm due to Byrka et al. (2015) on this bicriterion solution yields a (17.66+ε)-approximation (Guha et al., 2003; Charikar et al., 2003; Braverman et al., 2011). Our result matches the best-known space requirements for streaming k-median clustering while significantly improving the approximation accuracy. We also provide a lower bound, showing that any polylog(n)-space streaming algorithm that maintains an (α,β)-bicriterion must have β≥2. Our technique breaks the stream into segments defined by jumps in the optimal clustering cost, which increases monotonically as the stream progresses. By storing an accurate summary of recent segments of the stream and a lower-space summary of older segments, our algorithm maintains a (O(ε−3klogn),2+ε)-bicriterion solution for the entirety of the stream. In addition to our main result, we introduce a novel construction that we call a candidate set. This is a collection of points that, with high probability, contains k points that yield a near-optimal k-median cost. We present an algorithm called monotone faraway sampling (MFS) for constructing a candidate set in a single pass over a data stream. We show that using this candidate set in tandem with a coreset speeds up the search for a solution set of k cluster centers upon termination of the data stream. While coresets of smaller asymptotic size are known, comparative simplicity of MFS makes it appealing as a practical technique." @default.
- W3190440158 created "2021-08-16" @default.
- W3190440158 creator A5026493959 @default.
- W3190440158 creator A5053736722 @default.
- W3190440158 creator A5061218267 @default.
- W3190440158 creator A5084400494 @default.
- W3190440158 date "2021-12-01" @default.
- W3190440158 modified "2023-10-18" @default.
- W3190440158 title "Metric <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e20 altimg=si14.svg><mml:mi>k</mml:mi></mml:math>-median clustering in insertion-only streams" @default.
- W3190440158 cites W1968301997 @default.
- W3190440158 cites W1978906111 @default.
- W3190440158 cites W2003207175 @default.
- W3190440158 cites W2045964207 @default.
- W3190440158 cites W2094048240 @default.
- W3190440158 cites W2123297508 @default.
- W3190440158 cites W2220402431 @default.
- W3190440158 doi "https://doi.org/10.1016/j.dam.2021.07.025" @default.
- W3190440158 hasPublicationYear "2021" @default.
- W3190440158 type Work @default.
- W3190440158 sameAs 3190440158 @default.
- W3190440158 citedByCount "0" @default.
- W3190440158 crossrefType "journal-article" @default.
- W3190440158 hasAuthorship W3190440158A5026493959 @default.
- W3190440158 hasAuthorship W3190440158A5053736722 @default.
- W3190440158 hasAuthorship W3190440158A5061218267 @default.
- W3190440158 hasAuthorship W3190440158A5084400494 @default.
- W3190440158 hasConcept C105795698 @default.
- W3190440158 hasConcept C11413529 @default.
- W3190440158 hasConcept C114614502 @default.
- W3190440158 hasConcept C118615104 @default.
- W3190440158 hasConcept C124101348 @default.
- W3190440158 hasConcept C134306372 @default.
- W3190440158 hasConcept C162324750 @default.
- W3190440158 hasConcept C176217482 @default.
- W3190440158 hasConcept C177264268 @default.
- W3190440158 hasConcept C187166803 @default.
- W3190440158 hasConcept C198043062 @default.
- W3190440158 hasConcept C199360897 @default.
- W3190440158 hasConcept C21547014 @default.
- W3190440158 hasConcept C2524010 @default.
- W3190440158 hasConcept C2778484313 @default.
- W3190440158 hasConcept C2834757 @default.
- W3190440158 hasConcept C3017489831 @default.
- W3190440158 hasConcept C33923547 @default.
- W3190440158 hasConcept C41008148 @default.
- W3190440158 hasConcept C73555534 @default.
- W3190440158 hasConcept C77553402 @default.
- W3190440158 hasConcept C89198739 @default.
- W3190440158 hasConceptScore W3190440158C105795698 @default.
- W3190440158 hasConceptScore W3190440158C11413529 @default.
- W3190440158 hasConceptScore W3190440158C114614502 @default.
- W3190440158 hasConceptScore W3190440158C118615104 @default.
- W3190440158 hasConceptScore W3190440158C124101348 @default.
- W3190440158 hasConceptScore W3190440158C134306372 @default.
- W3190440158 hasConceptScore W3190440158C162324750 @default.
- W3190440158 hasConceptScore W3190440158C176217482 @default.
- W3190440158 hasConceptScore W3190440158C177264268 @default.
- W3190440158 hasConceptScore W3190440158C187166803 @default.
- W3190440158 hasConceptScore W3190440158C198043062 @default.
- W3190440158 hasConceptScore W3190440158C199360897 @default.
- W3190440158 hasConceptScore W3190440158C21547014 @default.
- W3190440158 hasConceptScore W3190440158C2524010 @default.
- W3190440158 hasConceptScore W3190440158C2778484313 @default.
- W3190440158 hasConceptScore W3190440158C2834757 @default.
- W3190440158 hasConceptScore W3190440158C3017489831 @default.
- W3190440158 hasConceptScore W3190440158C33923547 @default.
- W3190440158 hasConceptScore W3190440158C41008148 @default.
- W3190440158 hasConceptScore W3190440158C73555534 @default.
- W3190440158 hasConceptScore W3190440158C77553402 @default.
- W3190440158 hasConceptScore W3190440158C89198739 @default.
- W3190440158 hasFunder F4320306076 @default.
- W3190440158 hasFunder F4320306555 @default.
- W3190440158 hasLocation W31904401581 @default.
- W3190440158 hasOpenAccess W3190440158 @default.
- W3190440158 hasPrimaryLocation W31904401581 @default.
- W3190440158 hasRelatedWork W1561841570 @default.
- W3190440158 hasRelatedWork W1965421426 @default.
- W3190440158 hasRelatedWork W2023497185 @default.
- W3190440158 hasRelatedWork W2076927439 @default.
- W3190440158 hasRelatedWork W2380998760 @default.
- W3190440158 hasRelatedWork W2544577321 @default.
- W3190440158 hasRelatedWork W2769218836 @default.
- W3190440158 hasRelatedWork W31696346 @default.
- W3190440158 hasRelatedWork W3190440158 @default.
- W3190440158 hasRelatedWork W2788172935 @default.
- W3190440158 hasVolume "304" @default.
- W3190440158 isParatext "false" @default.
- W3190440158 isRetracted "false" @default.
- W3190440158 magId "3190440158" @default.
- W3190440158 workType "article" @default.
