Matches in SemOpenAlex for { <https://semopenalex.org/work/W2765191736> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2765191736 abstract "We study monotonicity testing of Boolean functions over the hypergrid $[n]^d$ and design a non-adaptive tester with $1$-sided error whose query complexity is $tilde{O}(d^{5/6})cdot text{poly}(log n,1/epsilon)$. Previous to our work, the best known testers had query complexity linear in $d$ but independent of $n$. We improve upon these testers as long as $n = 2^{d^{o(1)}}$. To obtain our results, we work with what we call the augmented hypergrid, which adds extra edges to the hypergrid. Our main technical contribution is a Margulis-style isoperimetric result for the augmented hypergrid, and our tester, like previous testers for the hypercube domain, performs directed random walks on this structure." @default.
- W2765191736 created "2017-11-10" @default.
- W2765191736 creator A5038687804 @default.
- W2765191736 creator A5069364300 @default.
- W2765191736 creator A5072682785 @default.
- W2765191736 date "2017-10-28" @default.
- W2765191736 modified "2023-10-14" @default.
- W2765191736 title "A $o(d) cdot text{polylog}~n$ Monotonicity Tester for Boolean Functions over the Hypergrid $[n]^d$" @default.
- W2765191736 cites W117090335 @default.
- W2765191736 cites W1586809440 @default.
- W2765191736 cites W1775912700 @default.
- W2765191736 cites W1786299627 @default.
- W2765191736 cites W1986542077 @default.
- W2765191736 cites W1992650621 @default.
- W2765191736 cites W2016443407 @default.
- W2765191736 cites W2063966194 @default.
- W2765191736 cites W2079996283 @default.
- W2765191736 cites W2085336826 @default.
- W2765191736 cites W2100732817 @default.
- W2765191736 cites W2212352090 @default.
- W2765191736 cites W2267350596 @default.
- W2765191736 cites W2515694000 @default.
- W2765191736 cites W2593853527 @default.
- W2765191736 cites W2952208743 @default.
- W2765191736 cites W2963845289 @default.
- W2765191736 doi "https://doi.org/10.48550/arxiv.1710.10545" @default.
- W2765191736 hasPublicationYear "2017" @default.
- W2765191736 type Work @default.
- W2765191736 sameAs 2765191736 @default.
- W2765191736 citedByCount "0" @default.
- W2765191736 crossrefType "posted-content" @default.
- W2765191736 hasAuthorship W2765191736A5038687804 @default.
- W2765191736 hasAuthorship W2765191736A5069364300 @default.
- W2765191736 hasAuthorship W2765191736A5072682785 @default.
- W2765191736 hasBestOaLocation W27651917361 @default.
- W2765191736 hasConcept C114614502 @default.
- W2765191736 hasConcept C118615104 @default.
- W2765191736 hasConcept C134306372 @default.
- W2765191736 hasConcept C140142295 @default.
- W2765191736 hasConcept C187455244 @default.
- W2765191736 hasConcept C33923547 @default.
- W2765191736 hasConcept C50820777 @default.
- W2765191736 hasConcept C72169020 @default.
- W2765191736 hasConceptScore W2765191736C114614502 @default.
- W2765191736 hasConceptScore W2765191736C118615104 @default.
- W2765191736 hasConceptScore W2765191736C134306372 @default.
- W2765191736 hasConceptScore W2765191736C140142295 @default.
- W2765191736 hasConceptScore W2765191736C187455244 @default.
- W2765191736 hasConceptScore W2765191736C33923547 @default.
- W2765191736 hasConceptScore W2765191736C50820777 @default.
- W2765191736 hasConceptScore W2765191736C72169020 @default.
- W2765191736 hasLocation W27651917361 @default.
- W2765191736 hasOpenAccess W2765191736 @default.
- W2765191736 hasPrimaryLocation W27651917361 @default.
- W2765191736 hasRelatedWork W117090335 @default.
- W2765191736 hasRelatedWork W1481997437 @default.
- W2765191736 hasRelatedWork W2053267965 @default.
- W2765191736 hasRelatedWork W2212352090 @default.
- W2765191736 hasRelatedWork W2515694000 @default.
- W2765191736 hasRelatedWork W2765191736 @default.
- W2765191736 hasRelatedWork W2898751129 @default.
- W2765191736 hasRelatedWork W2911832201 @default.
- W2765191736 hasRelatedWork W2963889436 @default.
- W2765191736 hasRelatedWork W3089512022 @default.
- W2765191736 isParatext "false" @default.
- W2765191736 isRetracted "false" @default.
- W2765191736 magId "2765191736" @default.
- W2765191736 workType "article" @default.