Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949202875> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2949202875 abstract "A degree-$d$ polynomial $p$ in $n$ variables over a field $F$ is {em equidistributed} if it takes on each of its $|F|$ values close to equally often, and {em biased} otherwise. We say that $p$ has a {em low rank} if it can be expressed as a bounded combination of polynomials of lower degree. Green and Tao [gt07] have shown that bias imply low rank over large fields (i.e. for the case $d < |F|$). They have also conjectured that bias imply low rank over general fields. In this work we affirmatively answer their conjecture. Using this result we obtain a general worst case to average case reductions for polynomials. That is, we show that a polynomial that can be {em approximated} by few polynomials of bounded degree, can be {em computed} by few polynomials of bounded degree. We derive some relations between our results to the construction of pseudorandom generators, and to the question of testing concise representations." @default.
- W2949202875 created "2019-06-27" @default.
- W2949202875 creator A5044999305 @default.
- W2949202875 creator A5069967790 @default.
- W2949202875 date "2008-06-27" @default.
- W2949202875 modified "2023-09-27" @default.
- W2949202875 title "Worst Case to Average Case Reductions for Polynomials" @default.
- W2949202875 cites W1606480398 @default.
- W2949202875 cites W2018925011 @default.
- W2949202875 cites W2111478028 @default.
- W2949202875 cites W2140566134 @default.
- W2949202875 hasPublicationYear "2008" @default.
- W2949202875 type Work @default.
- W2949202875 sameAs 2949202875 @default.
- W2949202875 citedByCount "22" @default.
- W2949202875 countsByYear W29492028752012 @default.
- W2949202875 countsByYear W29492028752013 @default.
- W2949202875 countsByYear W29492028752014 @default.
- W2949202875 countsByYear W29492028752015 @default.
- W2949202875 countsByYear W29492028752016 @default.
- W2949202875 countsByYear W29492028752017 @default.
- W2949202875 countsByYear W29492028752018 @default.
- W2949202875 countsByYear W29492028752019 @default.
- W2949202875 countsByYear W29492028752021 @default.
- W2949202875 crossrefType "posted-content" @default.
- W2949202875 hasAuthorship W2949202875A5044999305 @default.
- W2949202875 hasAuthorship W2949202875A5069967790 @default.
- W2949202875 hasConcept C10628310 @default.
- W2949202875 hasConcept C114614502 @default.
- W2949202875 hasConcept C118615104 @default.
- W2949202875 hasConcept C121332964 @default.
- W2949202875 hasConcept C134306372 @default.
- W2949202875 hasConcept C164226766 @default.
- W2949202875 hasConcept C202444582 @default.
- W2949202875 hasConcept C24890656 @default.
- W2949202875 hasConcept C2775997480 @default.
- W2949202875 hasConcept C2780990831 @default.
- W2949202875 hasConcept C33923547 @default.
- W2949202875 hasConcept C34388435 @default.
- W2949202875 hasConcept C50742451 @default.
- W2949202875 hasConcept C77926391 @default.
- W2949202875 hasConcept C86607863 @default.
- W2949202875 hasConcept C90119067 @default.
- W2949202875 hasConcept C9652623 @default.
- W2949202875 hasConceptScore W2949202875C10628310 @default.
- W2949202875 hasConceptScore W2949202875C114614502 @default.
- W2949202875 hasConceptScore W2949202875C118615104 @default.
- W2949202875 hasConceptScore W2949202875C121332964 @default.
- W2949202875 hasConceptScore W2949202875C134306372 @default.
- W2949202875 hasConceptScore W2949202875C164226766 @default.
- W2949202875 hasConceptScore W2949202875C202444582 @default.
- W2949202875 hasConceptScore W2949202875C24890656 @default.
- W2949202875 hasConceptScore W2949202875C2775997480 @default.
- W2949202875 hasConceptScore W2949202875C2780990831 @default.
- W2949202875 hasConceptScore W2949202875C33923547 @default.
- W2949202875 hasConceptScore W2949202875C34388435 @default.
- W2949202875 hasConceptScore W2949202875C50742451 @default.
- W2949202875 hasConceptScore W2949202875C77926391 @default.
- W2949202875 hasConceptScore W2949202875C86607863 @default.
- W2949202875 hasConceptScore W2949202875C90119067 @default.
- W2949202875 hasConceptScore W2949202875C9652623 @default.
- W2949202875 hasLocation W29492028751 @default.
- W2949202875 hasOpenAccess W2949202875 @default.
- W2949202875 hasPrimaryLocation W29492028751 @default.
- W2949202875 hasRelatedWork W1826122826 @default.
- W2949202875 hasRelatedWork W1976337900 @default.
- W2949202875 hasRelatedWork W1989959918 @default.
- W2949202875 hasRelatedWork W2027528470 @default.
- W2949202875 hasRelatedWork W2064469747 @default.
- W2949202875 hasRelatedWork W2101060997 @default.
- W2949202875 hasRelatedWork W2115342189 @default.
- W2949202875 hasRelatedWork W2129107602 @default.
- W2949202875 hasRelatedWork W2135651340 @default.
- W2949202875 hasRelatedWork W2146453677 @default.
- W2949202875 hasRelatedWork W2195558591 @default.
- W2949202875 hasRelatedWork W2963092165 @default.
- W2949202875 hasRelatedWork W3048484789 @default.
- W2949202875 hasRelatedWork W3124591719 @default.
- W2949202875 hasRelatedWork W3136910307 @default.
- W2949202875 hasRelatedWork W3176115059 @default.
- W2949202875 hasRelatedWork W3184692889 @default.
- W2949202875 hasRelatedWork W1941768332 @default.
- W2949202875 hasRelatedWork W2384675828 @default.
- W2949202875 hasRelatedWork W3119929907 @default.
- W2949202875 isParatext "false" @default.
- W2949202875 isRetracted "false" @default.
- W2949202875 magId "2949202875" @default.
- W2949202875 workType "article" @default.