Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949827790> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2949827790 abstract "We construct a bi-Lipschitz bijection from the Boolean cube to the Hamming ball of equal volume. More precisely, we show that for all even n there exists an explicit bijection f from the n-dimensional Boolean cube to the Hamming ball of equal volume embedded in (n+1)-dimensional Boolean cube, such that for all x and y it holds that distance(x,y) / 5 <= distance(f(x),f(y)) <= 4 distance(x,y) where distance(,) denotes the Hamming distance. In particular, this implies that the Hamming ball is bi-Lipschitz transitive. This result gives a strong negative answer to an open problem of Lovett and Viola [CC 2012], who raised the question in the context of sampling distributions in low-level complexity classes. The conceptual implication is that the problem of proving lower bounds in the context of sampling distributions will require some new ideas beyond the sensitivity-based structural results of Boppana [IPL 97]. We study the mapping f further and show that it (and its inverse) are computable in DLOGTIME-uniform TC0, but not in AC0. Moreover, we prove that f is approximately local in the sense that all but the last output bit of f are essentially determined by a single input bit." @default.
- W2949827790 created "2019-06-27" @default.
- W2949827790 creator A5018113933 @default.
- W2949827790 creator A5028165107 @default.
- W2949827790 creator A5059311017 @default.
- W2949827790 date "2013-10-08" @default.
- W2949827790 modified "2023-10-18" @default.
- W2949827790 title "Bi-Lipschitz Bijection between the Boolean Cube and the Hamming Ball" @default.
- W2949827790 cites W1599335667 @default.
- W2949827790 cites W1986296546 @default.
- W2949827790 cites W1995502606 @default.
- W2949827790 cites W2004435782 @default.
- W2949827790 cites W2005107874 @default.
- W2949827790 cites W2033177258 @default.
- W2949827790 cites W2043819676 @default.
- W2949827790 cites W2071274211 @default.
- W2949827790 cites W2088559598 @default.
- W2949827790 cites W2096746450 @default.
- W2949827790 cites W2097834100 @default.
- W2949827790 cites W2165293955 @default.
- W2949827790 cites W2166853092 @default.
- W2949827790 cites W3143506846 @default.
- W2949827790 hasPublicationYear "2013" @default.
- W2949827790 type Work @default.
- W2949827790 sameAs 2949827790 @default.
- W2949827790 citedByCount "0" @default.
- W2949827790 crossrefType "posted-content" @default.
- W2949827790 hasAuthorship W2949827790A5018113933 @default.
- W2949827790 hasAuthorship W2949827790A5028165107 @default.
- W2949827790 hasAuthorship W2949827790A5059311017 @default.
- W2949827790 hasConcept C11413529 @default.
- W2949827790 hasConcept C114614502 @default.
- W2949827790 hasConcept C118615104 @default.
- W2949827790 hasConcept C122041747 @default.
- W2949827790 hasConcept C157125643 @default.
- W2949827790 hasConcept C187455244 @default.
- W2949827790 hasConcept C193319292 @default.
- W2949827790 hasConcept C202444582 @default.
- W2949827790 hasConcept C22324862 @default.
- W2949827790 hasConcept C24424167 @default.
- W2949827790 hasConcept C2524010 @default.
- W2949827790 hasConcept C29696283 @default.
- W2949827790 hasConcept C33923547 @default.
- W2949827790 hasConcept C48659774 @default.
- W2949827790 hasConcept C53051483 @default.
- W2949827790 hasConcept C57273362 @default.
- W2949827790 hasConcept C73150493 @default.
- W2949827790 hasConceptScore W2949827790C11413529 @default.
- W2949827790 hasConceptScore W2949827790C114614502 @default.
- W2949827790 hasConceptScore W2949827790C118615104 @default.
- W2949827790 hasConceptScore W2949827790C122041747 @default.
- W2949827790 hasConceptScore W2949827790C157125643 @default.
- W2949827790 hasConceptScore W2949827790C187455244 @default.
- W2949827790 hasConceptScore W2949827790C193319292 @default.
- W2949827790 hasConceptScore W2949827790C202444582 @default.
- W2949827790 hasConceptScore W2949827790C22324862 @default.
- W2949827790 hasConceptScore W2949827790C24424167 @default.
- W2949827790 hasConceptScore W2949827790C2524010 @default.
- W2949827790 hasConceptScore W2949827790C29696283 @default.
- W2949827790 hasConceptScore W2949827790C33923547 @default.
- W2949827790 hasConceptScore W2949827790C48659774 @default.
- W2949827790 hasConceptScore W2949827790C53051483 @default.
- W2949827790 hasConceptScore W2949827790C57273362 @default.
- W2949827790 hasConceptScore W2949827790C73150493 @default.
- W2949827790 hasLocation W29498277901 @default.
- W2949827790 hasOpenAccess W2949827790 @default.
- W2949827790 hasPrimaryLocation W29498277901 @default.
- W2949827790 hasRelatedWork W128724489 @default.
- W2949827790 hasRelatedWork W1495932320 @default.
- W2949827790 hasRelatedWork W1578488848 @default.
- W2949827790 hasRelatedWork W1682673340 @default.
- W2949827790 hasRelatedWork W2077610385 @default.
- W2949827790 hasRelatedWork W2082582261 @default.
- W2949827790 hasRelatedWork W2179410341 @default.
- W2949827790 hasRelatedWork W2394881477 @default.
- W2949827790 hasRelatedWork W2407852364 @default.
- W2949827790 hasRelatedWork W2409151016 @default.
- W2949827790 hasRelatedWork W2737486113 @default.
- W2949827790 hasRelatedWork W2905841321 @default.
- W2949827790 hasRelatedWork W2950769787 @default.
- W2949827790 hasRelatedWork W2952783120 @default.
- W2949827790 hasRelatedWork W2963733130 @default.
- W2949827790 hasRelatedWork W3081892506 @default.
- W2949827790 hasRelatedWork W3170725852 @default.
- W2949827790 hasRelatedWork W3195540944 @default.
- W2949827790 hasRelatedWork W3202020443 @default.
- W2949827790 hasRelatedWork W2169638123 @default.
- W2949827790 isParatext "false" @default.
- W2949827790 isRetracted "false" @default.
- W2949827790 magId "2949827790" @default.
- W2949827790 workType "article" @default.