Matches in SemOpenAlex for { <https://semopenalex.org/work/W1493107308> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W1493107308 endingPage "248" @default.
- W1493107308 startingPage "225" @default.
- W1493107308 abstract "We give the first efficient (1−ε)-approximation algorithm for the following problem: Given an axis-parallel d-dimensional box R in ℝ d containing n points, compute a maximum-volume empty axis-parallel d-dimensional box contained in R. The minimum of this quantity over all such point sets is of the order $Theta (frac {1}{n} )$ . Our algorithm finds an empty axis-aligned box whose volume is at least (1−ε) of the maximum in O((8edε −2) d ⋅nlog d n) time. No previous efficient exact or approximation algorithms were known for this problem for d≥4. As the problem has been recently shown to be NP-hard in arbitrarily high dimensions (i.e., when d is part of the input), the existence of an efficient exact algorithm is unlikely. We also present a (1−ε)-approximation algorithm that, given an axis-parallel d-dimensional cube R in ℝ d containing n points, computes a maximum-volume empty axis-parallel hypercube contained in R. The minimum of this quantity over all such point sets is also shown to be of the order $Theta (frac{1}{n} )$ . A faster (1−ε)-approximation algorithm, with a milder dependence on d in the running time, is obtained in this case." @default.
- W1493107308 created "2016-06-24" @default.
- W1493107308 creator A5080563649 @default.
- W1493107308 creator A5091313409 @default.
- W1493107308 date "2012-03-07" @default.
- W1493107308 modified "2023-10-18" @default.
- W1493107308 title "On the Largest Empty Axis-Parallel Box Amidst n Points" @default.
- W1493107308 cites W1966224002 @default.
- W1493107308 cites W1971019328 @default.
- W1493107308 cites W1992268357 @default.
- W1493107308 cites W1996696127 @default.
- W1493107308 cites W2007986693 @default.
- W1493107308 cites W2017001763 @default.
- W1493107308 cites W2026555584 @default.
- W1493107308 cites W2029626238 @default.
- W1493107308 cites W2035853071 @default.
- W1493107308 cites W2062166254 @default.
- W1493107308 cites W2064761827 @default.
- W1493107308 cites W2070096732 @default.
- W1493107308 cites W2124741347 @default.
- W1493107308 cites W2797767659 @default.
- W1493107308 cites W2997188414 @default.
- W1493107308 cites W4249137521 @default.
- W1493107308 cites W4254343065 @default.
- W1493107308 doi "https://doi.org/10.1007/s00453-012-9635-5" @default.
- W1493107308 hasPublicationYear "2012" @default.
- W1493107308 type Work @default.
- W1493107308 sameAs 1493107308 @default.
- W1493107308 citedByCount "57" @default.
- W1493107308 countsByYear W14931073082012 @default.
- W1493107308 countsByYear W14931073082013 @default.
- W1493107308 countsByYear W14931073082014 @default.
- W1493107308 countsByYear W14931073082015 @default.
- W1493107308 countsByYear W14931073082016 @default.
- W1493107308 countsByYear W14931073082017 @default.
- W1493107308 countsByYear W14931073082018 @default.
- W1493107308 countsByYear W14931073082019 @default.
- W1493107308 countsByYear W14931073082020 @default.
- W1493107308 countsByYear W14931073082021 @default.
- W1493107308 countsByYear W14931073082022 @default.
- W1493107308 countsByYear W14931073082023 @default.
- W1493107308 crossrefType "journal-article" @default.
- W1493107308 hasAuthorship W1493107308A5080563649 @default.
- W1493107308 hasAuthorship W1493107308A5091313409 @default.
- W1493107308 hasBestOaLocation W14931073082 @default.
- W1493107308 hasConcept C10138342 @default.
- W1493107308 hasConcept C11413529 @default.
- W1493107308 hasConcept C114614502 @default.
- W1493107308 hasConcept C118615104 @default.
- W1493107308 hasConcept C120373497 @default.
- W1493107308 hasConcept C148764684 @default.
- W1493107308 hasConcept C162324750 @default.
- W1493107308 hasConcept C182306322 @default.
- W1493107308 hasConcept C24858836 @default.
- W1493107308 hasConcept C2524010 @default.
- W1493107308 hasConcept C28719098 @default.
- W1493107308 hasConcept C3017489831 @default.
- W1493107308 hasConcept C33923547 @default.
- W1493107308 hasConcept C50820777 @default.
- W1493107308 hasConcept C53051483 @default.
- W1493107308 hasConcept C60432849 @default.
- W1493107308 hasConceptScore W1493107308C10138342 @default.
- W1493107308 hasConceptScore W1493107308C11413529 @default.
- W1493107308 hasConceptScore W1493107308C114614502 @default.
- W1493107308 hasConceptScore W1493107308C118615104 @default.
- W1493107308 hasConceptScore W1493107308C120373497 @default.
- W1493107308 hasConceptScore W1493107308C148764684 @default.
- W1493107308 hasConceptScore W1493107308C162324750 @default.
- W1493107308 hasConceptScore W1493107308C182306322 @default.
- W1493107308 hasConceptScore W1493107308C24858836 @default.
- W1493107308 hasConceptScore W1493107308C2524010 @default.
- W1493107308 hasConceptScore W1493107308C28719098 @default.
- W1493107308 hasConceptScore W1493107308C3017489831 @default.
- W1493107308 hasConceptScore W1493107308C33923547 @default.
- W1493107308 hasConceptScore W1493107308C50820777 @default.
- W1493107308 hasConceptScore W1493107308C53051483 @default.
- W1493107308 hasConceptScore W1493107308C60432849 @default.
- W1493107308 hasIssue "2" @default.
- W1493107308 hasLocation W14931073081 @default.
- W1493107308 hasLocation W14931073082 @default.
- W1493107308 hasLocation W14931073083 @default.
- W1493107308 hasOpenAccess W1493107308 @default.
- W1493107308 hasPrimaryLocation W14931073081 @default.
- W1493107308 hasRelatedWork W1486481534 @default.
- W1493107308 hasRelatedWork W2023489120 @default.
- W1493107308 hasRelatedWork W2154745345 @default.
- W1493107308 hasRelatedWork W2282648397 @default.
- W1493107308 hasRelatedWork W2887187121 @default.
- W1493107308 hasRelatedWork W2949107995 @default.
- W1493107308 hasRelatedWork W2974531952 @default.
- W1493107308 hasRelatedWork W3155746589 @default.
- W1493107308 hasRelatedWork W4298879705 @default.
- W1493107308 hasRelatedWork W4302446180 @default.
- W1493107308 hasVolume "66" @default.
- W1493107308 isParatext "false" @default.
- W1493107308 isRetracted "false" @default.
- W1493107308 magId "1493107308" @default.
- W1493107308 workType "article" @default.