Matches in SemOpenAlex for { <https://semopenalex.org/work/W1555891050> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W1555891050 abstract "Let $kleq n$. Each polynomial $pinoR[x_1,...,x_n]$ can be uniquely written as $p=sum_{mu}mu p_{mu}$, where $mu$ ranges over the set $M$ of all monomials in $oR[x_1,...,x_k]$ and where $p_{mu}inoR[x_{k+1},...,x_n]$. If $p$ is $d$-homogeneous and $varepsilon>0$, we say that $p$ is {em $varepsilon$-concentrated on the first $k$ variables} if $$sum_{muin Matopdeg(mu) 0$ there exists $k_{d,varepsilon}$ such that for each $n$ and each $d$-homogeneous $pinoR[x_1,...,x_n]$ there exists $kleq k_{d,varepsilon}$ such that $p$ is $varepsilon$-concentrated on the first $k$ variables {em after some orthogonal transformation of $oR^n$}. (So $k_{d,varepsilon}$ is independent of the number $n$ of variables.) We derive this as a consequence of a more general theorem on low rank approximation of polynomials." @default.
- W1555891050 created "2016-06-24" @default.
- W1555891050 creator A5028190074 @default.
- W1555891050 date "2012-11-15" @default.
- W1555891050 modified "2023-09-27" @default.
- W1555891050 title "Low rank approximation of polynomials" @default.
- W1555891050 cites W1553848454 @default.
- W1555891050 cites W2068571612 @default.
- W1555891050 cites W2074447841 @default.
- W1555891050 hasPublicationYear "2012" @default.
- W1555891050 type Work @default.
- W1555891050 sameAs 1555891050 @default.
- W1555891050 citedByCount "0" @default.
- W1555891050 crossrefType "posted-content" @default.
- W1555891050 hasAuthorship W1555891050A5028190074 @default.
- W1555891050 hasConcept C11252640 @default.
- W1555891050 hasConcept C114614502 @default.
- W1555891050 hasConcept C121332964 @default.
- W1555891050 hasConcept C134306372 @default.
- W1555891050 hasConcept C164226766 @default.
- W1555891050 hasConcept C33923547 @default.
- W1555891050 hasConcept C66882249 @default.
- W1555891050 hasConcept C90119067 @default.
- W1555891050 hasConceptScore W1555891050C11252640 @default.
- W1555891050 hasConceptScore W1555891050C114614502 @default.
- W1555891050 hasConceptScore W1555891050C121332964 @default.
- W1555891050 hasConceptScore W1555891050C134306372 @default.
- W1555891050 hasConceptScore W1555891050C164226766 @default.
- W1555891050 hasConceptScore W1555891050C33923547 @default.
- W1555891050 hasConceptScore W1555891050C66882249 @default.
- W1555891050 hasConceptScore W1555891050C90119067 @default.
- W1555891050 hasLocation W15558910501 @default.
- W1555891050 hasOpenAccess W1555891050 @default.
- W1555891050 hasPrimaryLocation W15558910501 @default.
- W1555891050 hasRelatedWork W1970153031 @default.
- W1555891050 hasRelatedWork W1975643044 @default.
- W1555891050 hasRelatedWork W1980290091 @default.
- W1555891050 hasRelatedWork W2014780161 @default.
- W1555891050 hasRelatedWork W2041751740 @default.
- W1555891050 hasRelatedWork W2049329889 @default.
- W1555891050 hasRelatedWork W2089817321 @default.
- W1555891050 hasRelatedWork W2301250009 @default.
- W1555891050 hasRelatedWork W2310381493 @default.
- W1555891050 hasRelatedWork W2785258740 @default.
- W1555891050 hasRelatedWork W2888117041 @default.
- W1555891050 hasRelatedWork W2914535603 @default.
- W1555891050 hasRelatedWork W2962917652 @default.
- W1555891050 hasRelatedWork W2971333641 @default.
- W1555891050 hasRelatedWork W3009078167 @default.
- W1555891050 hasRelatedWork W3084403602 @default.
- W1555891050 hasRelatedWork W3092489815 @default.
- W1555891050 hasRelatedWork W3122448599 @default.
- W1555891050 hasRelatedWork W3135168561 @default.
- W1555891050 hasRelatedWork W3200813828 @default.
- W1555891050 isParatext "false" @default.
- W1555891050 isRetracted "false" @default.
- W1555891050 magId "1555891050" @default.
- W1555891050 workType "article" @default.