Matches in SemOpenAlex for { <https://semopenalex.org/work/W3129212310> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3129212310 abstract "Offline k-means clustering was studied extensively, and algorithms with a constant approximation are available. However, online clustering is still uncharted. New factors come into play: the ordering of the dataset and whether the number of points, n, is known in advance or not. Their exact effects are unknown. In this paper we focus on the online setting where the decisions are irreversible: after a point arrives, the algorithm needs to decide whether to take the point as a center or not, and this decision is final. How many centers are needed and sufficient to achieve constant approximation in this setting? We show upper and lower bounds for all the different cases. These bounds are exactly the same up to a constant, thus achieving optimal bounds. For example, for k-means cost with constant k>1 and random order, Theta(log n) centers are enough to achieve a constant approximation, while the mere a priori knowledge of n reduces the number of centers to a constant. These bounds hold for any distance function that obeys a triangle-type inequality." @default.
- W3129212310 created "2021-03-01" @default.
- W3129212310 creator A5025544885 @default.
- W3129212310 date "2019-08-09" @default.
- W3129212310 modified "2023-09-23" @default.
- W3129212310 title "Unexpected Effects of Online no-Substitution k-means Clustering" @default.
- W3129212310 cites W1967187838 @default.
- W3129212310 cites W2001907516 @default.
- W3129212310 cites W2045964207 @default.
- W3129212310 cites W2067462817 @default.
- W3129212310 cites W2081930221 @default.
- W3129212310 cites W2091684877 @default.
- W3129212310 cites W2118190603 @default.
- W3129212310 cites W2123297508 @default.
- W3129212310 cites W2151242668 @default.
- W3129212310 cites W2156499390 @default.
- W3129212310 cites W2199495299 @default.
- W3129212310 cites W2230030897 @default.
- W3129212310 cites W2609731728 @default.
- W3129212310 cites W2808857600 @default.
- W3129212310 cites W2952006241 @default.
- W3129212310 cites W2963241534 @default.
- W3129212310 cites W2963798749 @default.
- W3129212310 cites W3037892787 @default.
- W3129212310 cites W3116122009 @default.
- W3129212310 hasPublicationYear "2019" @default.
- W3129212310 type Work @default.
- W3129212310 sameAs 3129212310 @default.
- W3129212310 citedByCount "5" @default.
- W3129212310 countsByYear W31292123102020 @default.
- W3129212310 countsByYear W31292123102021 @default.
- W3129212310 crossrefType "posted-content" @default.
- W3129212310 hasAuthorship W3129212310A5025544885 @default.
- W3129212310 hasConcept C105795698 @default.
- W3129212310 hasConcept C111472728 @default.
- W3129212310 hasConcept C114614502 @default.
- W3129212310 hasConcept C126255220 @default.
- W3129212310 hasConcept C134306372 @default.
- W3129212310 hasConcept C138885662 @default.
- W3129212310 hasConcept C14036430 @default.
- W3129212310 hasConcept C148764684 @default.
- W3129212310 hasConcept C196921405 @default.
- W3129212310 hasConcept C199360897 @default.
- W3129212310 hasConcept C2524010 @default.
- W3129212310 hasConcept C2777027219 @default.
- W3129212310 hasConcept C28719098 @default.
- W3129212310 hasConcept C33923547 @default.
- W3129212310 hasConcept C41008148 @default.
- W3129212310 hasConcept C73555534 @default.
- W3129212310 hasConcept C75553542 @default.
- W3129212310 hasConcept C77553402 @default.
- W3129212310 hasConcept C78458016 @default.
- W3129212310 hasConcept C86803240 @default.
- W3129212310 hasConceptScore W3129212310C105795698 @default.
- W3129212310 hasConceptScore W3129212310C111472728 @default.
- W3129212310 hasConceptScore W3129212310C114614502 @default.
- W3129212310 hasConceptScore W3129212310C126255220 @default.
- W3129212310 hasConceptScore W3129212310C134306372 @default.
- W3129212310 hasConceptScore W3129212310C138885662 @default.
- W3129212310 hasConceptScore W3129212310C14036430 @default.
- W3129212310 hasConceptScore W3129212310C148764684 @default.
- W3129212310 hasConceptScore W3129212310C196921405 @default.
- W3129212310 hasConceptScore W3129212310C199360897 @default.
- W3129212310 hasConceptScore W3129212310C2524010 @default.
- W3129212310 hasConceptScore W3129212310C2777027219 @default.
- W3129212310 hasConceptScore W3129212310C28719098 @default.
- W3129212310 hasConceptScore W3129212310C33923547 @default.
- W3129212310 hasConceptScore W3129212310C41008148 @default.
- W3129212310 hasConceptScore W3129212310C73555534 @default.
- W3129212310 hasConceptScore W3129212310C75553542 @default.
- W3129212310 hasConceptScore W3129212310C77553402 @default.
- W3129212310 hasConceptScore W3129212310C78458016 @default.
- W3129212310 hasConceptScore W3129212310C86803240 @default.
- W3129212310 hasOpenAccess W3129212310 @default.
- W3129212310 hasRelatedWork W1535669030 @default.
- W3129212310 hasRelatedWork W1972029750 @default.
- W3129212310 hasRelatedWork W2134876406 @default.
- W3129212310 hasRelatedWork W2194204811 @default.
- W3129212310 hasRelatedWork W2545663241 @default.
- W3129212310 hasRelatedWork W2728725997 @default.
- W3129212310 hasRelatedWork W2776679573 @default.
- W3129212310 hasRelatedWork W2778880769 @default.
- W3129212310 hasRelatedWork W2884023066 @default.
- W3129212310 hasRelatedWork W2952088295 @default.
- W3129212310 hasRelatedWork W2952223190 @default.
- W3129212310 hasRelatedWork W2953319076 @default.
- W3129212310 hasRelatedWork W2963798749 @default.
- W3129212310 hasRelatedWork W2963943319 @default.
- W3129212310 hasRelatedWork W3035592582 @default.
- W3129212310 hasRelatedWork W3111300636 @default.
- W3129212310 hasRelatedWork W3131679123 @default.
- W3129212310 hasRelatedWork W3142015675 @default.
- W3129212310 hasRelatedWork W566704527 @default.
- W3129212310 hasRelatedWork W3002604948 @default.
- W3129212310 isParatext "false" @default.
- W3129212310 isRetracted "false" @default.
- W3129212310 magId "3129212310" @default.
- W3129212310 workType "article" @default.