FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3116122009> ?p ?o ?g. }

• W3116122009 abstract "We investigate $k$-means clustering in the online no-substitution setting when the input arrives in emph{arbitrary} order. In this setting, points arrive one after another, and the algorithm is required to instantly decide whether to take the current point as a center before observing the next point. Decisions are irrevocable. The goal is to minimize both the number of centers and the $k$-means cost. Previous works in this setting assume that the input's order is random, or that the input's aspect ratio is bounded. It is known that if the order is arbitrary and there is no assumption on the input, then any algorithm must take all points as centers. Moreover, assuming a bounded aspect ratio is too restrictive -- it does not include natural input generated from mixture models. We introduce a new complexity measure that quantifies the difficulty of clustering a dataset arriving in arbitrary order. We design a new random algorithm and prove that if applied on data with complexity $d$, the algorithm takes $O(dlog(n) klog(k))$ centers and is an $O(k^3)$-approximation. We also prove that if the data is sampled from a ``natural distribution, such as a mixture of $k$ Gaussians, then the new complexity measure is equal to $O(k^2log(n))$. This implies that for data generated from those distributions, our new algorithm takes only $text{poly}(klog(n))$ centers and is a $text{poly}(k)$-approximation. In terms of negative results, we prove that the number of centers needed to achieve an $alpha$-approximation is at least $Omegaleft(frac{d}{klog(nalpha)}right)$." @default.
• W3116122009 created "2021-01-05" @default.
• W3116122009 creator A5010685516 @default.
• W3116122009 creator A5025544885 @default.
• W3116122009 date "2020-12-28" @default.
• W3116122009 modified "2023-09-23" @default.
• W3116122009 title "No-substitution k-means Clustering with Adversarial Order" @default.
• W3116122009 cites W177707068 @default.
• W3116122009 cites W1965972569 @default.
• W3116122009 cites W1967187838 @default.
• W3116122009 cites W2014297625 @default.
• W3116122009 cites W203966249 @default.
• W3116122009 cites W2045964207 @default.
• W3116122009 cites W2069914810 @default.
• W3116122009 cites W2073459066 @default.
• W3116122009 cites W2091684877 @default.
• W3116122009 cites W2100369465 @default.
• W3116122009 cites W2117756453 @default.
• W3116122009 cites W2118190603 @default.
• W3116122009 cites W2123297508 @default.
• W3116122009 cites W2151242668 @default.
• W3116122009 cites W2156499390 @default.
• W3116122009 cites W2170740664 @default.
• W3116122009 cites W2187617524 @default.
• W3116122009 cites W2199495299 @default.
• W3116122009 cites W2230030897 @default.
• W3116122009 cites W2399495046 @default.
• W3116122009 cites W2808857600 @default.
• W3116122009 cites W2963241534 @default.
• W3116122009 cites W2963798749 @default.
• W3116122009 cites W2967523092 @default.
• W3116122009 cites W2981895326 @default.
• W3116122009 cites W3037892787 @default.
• W3116122009 cites W3129212310 @default.
• W3116122009 hasPublicationYear "2020" @default.
• W3116122009 type Work @default.
• W3116122009 sameAs 3116122009 @default.
• W3116122009 citedByCount "3" @default.
• W3116122009 countsByYear W31161220092019 @default.
• W3116122009 countsByYear W31161220092021 @default.
• W3116122009 crossrefType "posted-content" @default.
• W3116122009 hasAuthorship W3116122009A5010685516 @default.
• W3116122009 hasAuthorship W3116122009A5025544885 @default.
• W3116122009 hasConcept C10138342 @default.
• W3116122009 hasConcept C105795698 @default.
• W3116122009 hasConcept C110121322 @default.
• W3116122009 hasConcept C11413529 @default.
• W3116122009 hasConcept C114614502 @default.
• W3116122009 hasConcept C118615104 @default.
• W3116122009 hasConcept C124101348 @default.
• W3116122009 hasConcept C134306372 @default.
• W3116122009 hasConcept C162324750 @default.
• W3116122009 hasConcept C182306322 @default.
• W3116122009 hasConcept C2524010 @default.
• W3116122009 hasConcept C2780009758 @default.
• W3116122009 hasConcept C28719098 @default.
• W3116122009 hasConcept C33923547 @default.
• W3116122009 hasConcept C34388435 @default.
• W3116122009 hasConcept C41008148 @default.
• W3116122009 hasConcept C63553672 @default.
• W3116122009 hasConcept C73555534 @default.
• W3116122009 hasConceptScore W3116122009C10138342 @default.
• W3116122009 hasConceptScore W3116122009C105795698 @default.
• W3116122009 hasConceptScore W3116122009C110121322 @default.
• W3116122009 hasConceptScore W3116122009C11413529 @default.
• W3116122009 hasConceptScore W3116122009C114614502 @default.
• W3116122009 hasConceptScore W3116122009C118615104 @default.
• W3116122009 hasConceptScore W3116122009C124101348 @default.
• W3116122009 hasConceptScore W3116122009C134306372 @default.
• W3116122009 hasConceptScore W3116122009C162324750 @default.
• W3116122009 hasConceptScore W3116122009C182306322 @default.
• W3116122009 hasConceptScore W3116122009C2524010 @default.
• W3116122009 hasConceptScore W3116122009C2780009758 @default.
• W3116122009 hasConceptScore W3116122009C28719098 @default.
• W3116122009 hasConceptScore W3116122009C33923547 @default.
• W3116122009 hasConceptScore W3116122009C34388435 @default.
• W3116122009 hasConceptScore W3116122009C41008148 @default.
• W3116122009 hasConceptScore W3116122009C63553672 @default.
• W3116122009 hasConceptScore W3116122009C73555534 @default.
• W3116122009 hasOpenAccess W3116122009 @default.
• W3116122009 hasRelatedWork W132058294 @default.
• W3116122009 hasRelatedWork W195355258 @default.
• W3116122009 hasRelatedWork W2035380721 @default.
• W3116122009 hasRelatedWork W2294979631 @default.
• W3116122009 hasRelatedWork W2413581414 @default.
• W3116122009 hasRelatedWork W2594808892 @default.
• W3116122009 hasRelatedWork W2682688796 @default.
• W3116122009 hasRelatedWork W2752049496 @default.
• W3116122009 hasRelatedWork W2770780282 @default.
• W3116122009 hasRelatedWork W2810395196 @default.
• W3116122009 hasRelatedWork W2949932573 @default.
• W3116122009 hasRelatedWork W2950505489 @default.
• W3116122009 hasRelatedWork W2953023504 @default.
• W3116122009 hasRelatedWork W2963725033 @default.
• W3116122009 hasRelatedWork W2990011885 @default.
• W3116122009 hasRelatedWork W3012155259 @default.
• W3116122009 hasRelatedWork W3046684513 @default.
• W3116122009 hasRelatedWork W3150946533 @default.
• W3116122009 hasRelatedWork W3174653008 @default.
• W3116122009 hasRelatedWork W3211862455 @default.

• next