Matches in SemOpenAlex for { <https://semopenalex.org/work/W4302069884> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4302069884 abstract "For a set of $n$ points in $Re^d$, and parameters $k$ and $eps$, we present a data structure that answers $(1+eps,k)$-ANN queries in logarithmic time. Surprisingly, the space used by the data-structure is $Otilde (n /k)$; that is, the space used is sublinear in the input size if $k$ is sufficiently large. Our approach provides a novel way to summarize geometric data, such that meaningful proximity queries on the data can be carried out using this sketch. Using this, we provide a sublinear space data-structure that can estimate the density of a point set under various measures, including: begin{inparaenum}[(i)] item sum of distances of $k$ closest points to the query point, and item sum of squared distances of $k$ closest points to the query point. end{inparaenum} Our approach generalizes to other distance based estimation of densities of similar flavor. We also study the problem of approximating some of these quantities when using sampling. In particular, we show that a sample of size $Otilde (n /k)$ is sufficient, in some restricted cases, to estimate the above quantities. Remarkably, the sample size has only linear dependency on the dimension." @default.
- W4302069884 created "2022-10-06" @default.
- W4302069884 creator A5040577923 @default.
- W4302069884 creator A5074936673 @default.
- W4302069884 date "2011-11-12" @default.
- W4302069884 modified "2023-09-30" @default.
- W4302069884 title "Down the Rabbit Hole: Robust Proximity Search and Density Estimation in Sublinear Space" @default.
- W4302069884 doi "https://doi.org/10.48550/arxiv.1111.2942" @default.
- W4302069884 hasPublicationYear "2011" @default.
- W4302069884 type Work @default.
- W4302069884 citedByCount "0" @default.
- W4302069884 crossrefType "posted-content" @default.
- W4302069884 hasAuthorship W4302069884A5040577923 @default.
- W4302069884 hasAuthorship W4302069884A5074936673 @default.
- W4302069884 hasBestOaLocation W43020698841 @default.
- W4302069884 hasConcept C106131492 @default.
- W4302069884 hasConcept C111919701 @default.
- W4302069884 hasConcept C11413529 @default.
- W4302069884 hasConcept C114614502 @default.
- W4302069884 hasConcept C117160843 @default.
- W4302069884 hasConcept C118615104 @default.
- W4302069884 hasConcept C134306372 @default.
- W4302069884 hasConcept C140779682 @default.
- W4302069884 hasConcept C177264268 @default.
- W4302069884 hasConcept C185592680 @default.
- W4302069884 hasConcept C198531522 @default.
- W4302069884 hasConcept C199360897 @default.
- W4302069884 hasConcept C21080849 @default.
- W4302069884 hasConcept C2524010 @default.
- W4302069884 hasConcept C2778572836 @default.
- W4302069884 hasConcept C2779231336 @default.
- W4302069884 hasConcept C28719098 @default.
- W4302069884 hasConcept C31972630 @default.
- W4302069884 hasConcept C33676613 @default.
- W4302069884 hasConcept C33923547 @default.
- W4302069884 hasConcept C39927690 @default.
- W4302069884 hasConcept C41008148 @default.
- W4302069884 hasConcept C43617362 @default.
- W4302069884 hasConceptScore W4302069884C106131492 @default.
- W4302069884 hasConceptScore W4302069884C111919701 @default.
- W4302069884 hasConceptScore W4302069884C11413529 @default.
- W4302069884 hasConceptScore W4302069884C114614502 @default.
- W4302069884 hasConceptScore W4302069884C117160843 @default.
- W4302069884 hasConceptScore W4302069884C118615104 @default.
- W4302069884 hasConceptScore W4302069884C134306372 @default.
- W4302069884 hasConceptScore W4302069884C140779682 @default.
- W4302069884 hasConceptScore W4302069884C177264268 @default.
- W4302069884 hasConceptScore W4302069884C185592680 @default.
- W4302069884 hasConceptScore W4302069884C198531522 @default.
- W4302069884 hasConceptScore W4302069884C199360897 @default.
- W4302069884 hasConceptScore W4302069884C21080849 @default.
- W4302069884 hasConceptScore W4302069884C2524010 @default.
- W4302069884 hasConceptScore W4302069884C2778572836 @default.
- W4302069884 hasConceptScore W4302069884C2779231336 @default.
- W4302069884 hasConceptScore W4302069884C28719098 @default.
- W4302069884 hasConceptScore W4302069884C31972630 @default.
- W4302069884 hasConceptScore W4302069884C33676613 @default.
- W4302069884 hasConceptScore W4302069884C33923547 @default.
- W4302069884 hasConceptScore W4302069884C39927690 @default.
- W4302069884 hasConceptScore W4302069884C41008148 @default.
- W4302069884 hasConceptScore W4302069884C43617362 @default.
- W4302069884 hasLocation W43020698841 @default.
- W4302069884 hasOpenAccess W4302069884 @default.
- W4302069884 hasPrimaryLocation W43020698841 @default.
- W4302069884 hasRelatedWork W14320823 @default.
- W4302069884 hasRelatedWork W2151843595 @default.
- W4302069884 hasRelatedWork W2352771842 @default.
- W4302069884 hasRelatedWork W2355707807 @default.
- W4302069884 hasRelatedWork W2384380565 @default.
- W4302069884 hasRelatedWork W2963575629 @default.
- W4302069884 hasRelatedWork W3121052258 @default.
- W4302069884 hasRelatedWork W3137761455 @default.
- W4302069884 hasRelatedWork W3164333645 @default.
- W4302069884 hasRelatedWork W4292102651 @default.
- W4302069884 isParatext "false" @default.
- W4302069884 isRetracted "false" @default.
- W4302069884 workType "article" @default.