Matches in SemOpenAlex for { <https://semopenalex.org/work/W2002359780> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2002359780 endingPage "935" @default.
- W2002359780 startingPage "930" @default.
- W2002359780 abstract "Given a metric space $(X,d_X)$, $c ge 1$, $r > 0$, and $p,q in [0,1]$, a distribution over mappings $mathscr{H} : X to mathbb{N}$ is called a $(r,cr,p,q)$-sensitive hash family if any two points in X at distance at most r are mapped by $mathscr{H}$ to the same value with probability at least p, and any two points at distance greater than $cr$ are mapped by $mathscr{H}$ to the same value with probability at most q. This notion was introduced by Indyk and Motwani in 1998 as the basis for an efficient approximate nearest neighbor search algorithm and has since been used extensively for this purpose. The performance of these algorithms is governed by the parameter $rho = frac{log(1/p)}{log(1/q)}$, and constructing hash families with small $rho$ automatically yields improved nearest neighbor algorithms. Here we show that for $X = ell_1$ it is impossible to achieve $rho le frac{1}{2c}$. This almost matches the construction of Indyk and Motwani which achieves $rho le frac{1}{c}$." @default.
- W2002359780 created "2016-06-24" @default.
- W2002359780 creator A5037687249 @default.
- W2002359780 creator A5052985577 @default.
- W2002359780 creator A5085651536 @default.
- W2002359780 date "2008-01-01" @default.
- W2002359780 modified "2023-10-14" @default.
- W2002359780 title "Lower Bounds on Locality Sensitive Hashing" @default.
- W2002359780 cites W2094654291 @default.
- W2002359780 cites W2163010692 @default.
- W2002359780 cites W2334237942 @default.
- W2002359780 doi "https://doi.org/10.1137/050646858" @default.
- W2002359780 hasPublicationYear "2008" @default.
- W2002359780 type Work @default.
- W2002359780 sameAs 2002359780 @default.
- W2002359780 citedByCount "47" @default.
- W2002359780 countsByYear W20023597802013 @default.
- W2002359780 countsByYear W20023597802014 @default.
- W2002359780 countsByYear W20023597802015 @default.
- W2002359780 countsByYear W20023597802016 @default.
- W2002359780 countsByYear W20023597802017 @default.
- W2002359780 countsByYear W20023597802018 @default.
- W2002359780 countsByYear W20023597802019 @default.
- W2002359780 countsByYear W20023597802020 @default.
- W2002359780 countsByYear W20023597802021 @default.
- W2002359780 countsByYear W20023597802022 @default.
- W2002359780 countsByYear W20023597802023 @default.
- W2002359780 crossrefType "journal-article" @default.
- W2002359780 hasAuthorship W2002359780A5037687249 @default.
- W2002359780 hasAuthorship W2002359780A5052985577 @default.
- W2002359780 hasAuthorship W2002359780A5085651536 @default.
- W2002359780 hasBestOaLocation W20023597802 @default.
- W2002359780 hasConcept C111919701 @default.
- W2002359780 hasConcept C113238511 @default.
- W2002359780 hasConcept C114614502 @default.
- W2002359780 hasConcept C116738811 @default.
- W2002359780 hasConcept C118615104 @default.
- W2002359780 hasConcept C154945302 @default.
- W2002359780 hasConcept C162324750 @default.
- W2002359780 hasConcept C176217482 @default.
- W2002359780 hasConcept C198043062 @default.
- W2002359780 hasConcept C21547014 @default.
- W2002359780 hasConcept C2778572836 @default.
- W2002359780 hasConcept C33923547 @default.
- W2002359780 hasConcept C38652104 @default.
- W2002359780 hasConcept C41008148 @default.
- W2002359780 hasConcept C67388219 @default.
- W2002359780 hasConcept C74270461 @default.
- W2002359780 hasConcept C99138194 @default.
- W2002359780 hasConceptScore W2002359780C111919701 @default.
- W2002359780 hasConceptScore W2002359780C113238511 @default.
- W2002359780 hasConceptScore W2002359780C114614502 @default.
- W2002359780 hasConceptScore W2002359780C116738811 @default.
- W2002359780 hasConceptScore W2002359780C118615104 @default.
- W2002359780 hasConceptScore W2002359780C154945302 @default.
- W2002359780 hasConceptScore W2002359780C162324750 @default.
- W2002359780 hasConceptScore W2002359780C176217482 @default.
- W2002359780 hasConceptScore W2002359780C198043062 @default.
- W2002359780 hasConceptScore W2002359780C21547014 @default.
- W2002359780 hasConceptScore W2002359780C2778572836 @default.
- W2002359780 hasConceptScore W2002359780C33923547 @default.
- W2002359780 hasConceptScore W2002359780C38652104 @default.
- W2002359780 hasConceptScore W2002359780C41008148 @default.
- W2002359780 hasConceptScore W2002359780C67388219 @default.
- W2002359780 hasConceptScore W2002359780C74270461 @default.
- W2002359780 hasConceptScore W2002359780C99138194 @default.
- W2002359780 hasIssue "4" @default.
- W2002359780 hasLocation W20023597801 @default.
- W2002359780 hasLocation W20023597802 @default.
- W2002359780 hasLocation W20023597803 @default.
- W2002359780 hasOpenAccess W2002359780 @default.
- W2002359780 hasPrimaryLocation W20023597801 @default.
- W2002359780 hasRelatedWork W139098497 @default.
- W2002359780 hasRelatedWork W1993530675 @default.
- W2002359780 hasRelatedWork W2045263322 @default.
- W2002359780 hasRelatedWork W2166822184 @default.
- W2002359780 hasRelatedWork W2393322642 @default.
- W2002359780 hasRelatedWork W2949136552 @default.
- W2002359780 hasRelatedWork W3109426791 @default.
- W2002359780 hasRelatedWork W4281779938 @default.
- W2002359780 hasRelatedWork W4287589810 @default.
- W2002359780 hasRelatedWork W2187860343 @default.
- W2002359780 hasVolume "21" @default.
- W2002359780 isParatext "false" @default.
- W2002359780 isRetracted "false" @default.
- W2002359780 magId "2002359780" @default.
- W2002359780 workType "article" @default.