Matches in SemOpenAlex for { <https://semopenalex.org/work/W2800409178> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2800409178 abstract "We study k nearest neighbor queries in the plane for general (convex, pairwise disjoint) sites of constant description complexity (such as line segment, disks, quadrilaterals and so on) and with respect to a general family of distance functions including the L_p-norms and constant-size convex distance functions. We develop a data structure with O( n log log n ) space, O( log n + k ) query time, and expected O(n polylog n) preprocessing time, removing a ( log^2 n log log n )-factor from the O( n ( log^2 n ) ( log log n)^2 ) space of Bohler et al's recent SoCG'16 work. In addition, our dynamic version (that allows insertions and deletions of sites) also improves the space of Kaplan et al.'s recent SODA'17 work from O( n log^3 n ) to O( n log n ), and reduces a ( log^2 n )-factor from their deletion time. We obtain these improvements based on linear-size shallow cuttings, which are a standard technique to deal with the k nearest neighbor problem for point sites in the Euclidean metric. Kaplan et al. has generalized shallow cuttings to general distance functions, but the size of their version has an extra double logarithmic factor. We successfully design linear-size shallow cuttings for general distance functions, indicating that for general distance functions it could still be possible to achieve the same complexities as point sites in the Euclidean metric. Our breakthrough to achieve the linear size is a new random sampling technique (for the configuration space) that employs relatively many local conflicts to prevent relatively few global conflicts. We believe this new random sampling technique has its own merit for further applications." @default.
- W2800409178 created "2018-05-17" @default.
- W2800409178 creator A5008771140 @default.
- W2800409178 date "2018-05-05" @default.
- W2800409178 modified "2023-09-27" @default.
- W2800409178 title "On k Nearest Neighbor Queries in the Plane for General Distance Functions." @default.
- W2800409178 hasPublicationYear "2018" @default.
- W2800409178 type Work @default.
- W2800409178 sameAs 2800409178 @default.
- W2800409178 citedByCount "0" @default.
- W2800409178 crossrefType "posted-content" @default.
- W2800409178 hasAuthorship W2800409178A5008771140 @default.
- W2800409178 hasConcept C113238511 @default.
- W2800409178 hasConcept C114614502 @default.
- W2800409178 hasConcept C116738811 @default.
- W2800409178 hasConcept C118615104 @default.
- W2800409178 hasConcept C120174047 @default.
- W2800409178 hasConcept C134306372 @default.
- W2800409178 hasConcept C154945302 @default.
- W2800409178 hasConcept C162324750 @default.
- W2800409178 hasConcept C176217482 @default.
- W2800409178 hasConcept C176370821 @default.
- W2800409178 hasConcept C186450821 @default.
- W2800409178 hasConcept C195292467 @default.
- W2800409178 hasConcept C198043062 @default.
- W2800409178 hasConcept C199360897 @default.
- W2800409178 hasConcept C21547014 @default.
- W2800409178 hasConcept C2524010 @default.
- W2800409178 hasConcept C2777027219 @default.
- W2800409178 hasConcept C33923547 @default.
- W2800409178 hasConcept C39927690 @default.
- W2800409178 hasConcept C41008148 @default.
- W2800409178 hasConcept C45340560 @default.
- W2800409178 hasConcept C63553672 @default.
- W2800409178 hasConceptScore W2800409178C113238511 @default.
- W2800409178 hasConceptScore W2800409178C114614502 @default.
- W2800409178 hasConceptScore W2800409178C116738811 @default.
- W2800409178 hasConceptScore W2800409178C118615104 @default.
- W2800409178 hasConceptScore W2800409178C120174047 @default.
- W2800409178 hasConceptScore W2800409178C134306372 @default.
- W2800409178 hasConceptScore W2800409178C154945302 @default.
- W2800409178 hasConceptScore W2800409178C162324750 @default.
- W2800409178 hasConceptScore W2800409178C176217482 @default.
- W2800409178 hasConceptScore W2800409178C176370821 @default.
- W2800409178 hasConceptScore W2800409178C186450821 @default.
- W2800409178 hasConceptScore W2800409178C195292467 @default.
- W2800409178 hasConceptScore W2800409178C198043062 @default.
- W2800409178 hasConceptScore W2800409178C199360897 @default.
- W2800409178 hasConceptScore W2800409178C21547014 @default.
- W2800409178 hasConceptScore W2800409178C2524010 @default.
- W2800409178 hasConceptScore W2800409178C2777027219 @default.
- W2800409178 hasConceptScore W2800409178C33923547 @default.
- W2800409178 hasConceptScore W2800409178C39927690 @default.
- W2800409178 hasConceptScore W2800409178C41008148 @default.
- W2800409178 hasConceptScore W2800409178C45340560 @default.
- W2800409178 hasConceptScore W2800409178C63553672 @default.
- W2800409178 hasLocation W28004091781 @default.
- W2800409178 hasOpenAccess W2800409178 @default.
- W2800409178 hasPrimaryLocation W28004091781 @default.
- W2800409178 hasRelatedWork W1430582609 @default.
- W2800409178 hasRelatedWork W1521812346 @default.
- W2800409178 hasRelatedWork W1983067644 @default.
- W2800409178 hasRelatedWork W1992608637 @default.
- W2800409178 hasRelatedWork W2007273639 @default.
- W2800409178 hasRelatedWork W2022853835 @default.
- W2800409178 hasRelatedWork W2087219647 @default.
- W2800409178 hasRelatedWork W2109157304 @default.
- W2800409178 hasRelatedWork W2155603490 @default.
- W2800409178 hasRelatedWork W2338095277 @default.
- W2800409178 hasRelatedWork W2521278809 @default.
- W2800409178 hasRelatedWork W2808208460 @default.
- W2800409178 hasRelatedWork W2883269584 @default.
- W2800409178 hasRelatedWork W2922095319 @default.
- W2800409178 hasRelatedWork W2981835202 @default.
- W2800409178 hasRelatedWork W2992892031 @default.
- W2800409178 hasRelatedWork W3042432370 @default.
- W2800409178 hasRelatedWork W3099691204 @default.
- W2800409178 hasRelatedWork W3117663592 @default.
- W2800409178 hasRelatedWork W61303359 @default.
- W2800409178 isParatext "false" @default.
- W2800409178 isRetracted "false" @default.
- W2800409178 magId "2800409178" @default.
- W2800409178 workType "article" @default.