Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949649669> ?p ?o ?g. }
- W2949649669 abstract "We prove that quadratic forms in isotropic random vectors $X$ in $mathbb{R}^n$, possessing the convex concentration property with constant $K$, satisfy the Hanson-Wright inequality with constant $CK$, where $C$ is an absolute constant, thus eliminating the logarithmic (in the dimension) factors in a recent estimate by Vu and Wang. We also show that the concentration inequality for all Lipschitz functions implies a uniform version of the Hanson-Wright inequality for suprema of quadratic forms (in the spirit of the inequalities by Borell, Arcones-Gin'e and Ledoux-Talagrand). Previous results of this type relied on stronger isoperimetric properties of $X$ and in some cases provided an upper bound on the deviations rather than a concentration inequality. In the last part of the paper we show that the uniform version of the Hanson-Wright inequality for Gaussian vectors can be used to recover a recent concentration inequality for empirical estimators of the covariance operator of $B$-valued Gaussian variables due to Koltchinskii and Lounici." @default.
- W2949649669 created "2019-06-27" @default.
- W2949649669 creator A5034779632 @default.
- W2949649669 date "2014-09-30" @default.
- W2949649669 modified "2023-09-27" @default.
- W2949649669 title "A note on the Hanson-Wright inequality for random vectors with dependencies" @default.
- W2949649669 cites W1000140482 @default.
- W2949649669 cites W1972615020 @default.
- W2949649669 cites W1972670046 @default.
- W2949649669 cites W1973286131 @default.
- W2949649669 cites W1978978965 @default.
- W2949649669 cites W1990770240 @default.
- W2949649669 cites W2002856148 @default.
- W2949649669 cites W2005407846 @default.
- W2949649669 cites W2010161771 @default.
- W2949649669 cites W2011674194 @default.
- W2949649669 cites W2017016496 @default.
- W2949649669 cites W2032291279 @default.
- W2949649669 cites W2040583004 @default.
- W2949649669 cites W2040745222 @default.
- W2949649669 cites W2052044664 @default.
- W2949649669 cites W2068832491 @default.
- W2949649669 cites W2072864444 @default.
- W2949649669 cites W2080872718 @default.
- W2949649669 cites W2082017448 @default.
- W2949649669 cites W2100487820 @default.
- W2949649669 cites W2101062161 @default.
- W2949649669 cites W2949090674 @default.
- W2949649669 cites W2963302510 @default.
- W2949649669 hasPublicationYear "2014" @default.
- W2949649669 type Work @default.
- W2949649669 sameAs 2949649669 @default.
- W2949649669 citedByCount "1" @default.
- W2949649669 countsByYear W29496496692015 @default.
- W2949649669 crossrefType "posted-content" @default.
- W2949649669 hasAuthorship W2949649669A5034779632 @default.
- W2949649669 hasConcept C114614502 @default.
- W2949649669 hasConcept C126087398 @default.
- W2949649669 hasConcept C134306372 @default.
- W2949649669 hasConcept C140142295 @default.
- W2949649669 hasConcept C142362112 @default.
- W2949649669 hasConcept C199360897 @default.
- W2949649669 hasConcept C202444582 @default.
- W2949649669 hasConcept C206399364 @default.
- W2949649669 hasConcept C22324862 @default.
- W2949649669 hasConcept C2777027219 @default.
- W2949649669 hasConcept C2777667586 @default.
- W2949649669 hasConcept C28826006 @default.
- W2949649669 hasConcept C33923547 @default.
- W2949649669 hasConcept C41008148 @default.
- W2949649669 hasConcept C45555294 @default.
- W2949649669 hasConcept C46979015 @default.
- W2949649669 hasConcept C52119013 @default.
- W2949649669 hasConcept C77553402 @default.
- W2949649669 hasConcept C84135550 @default.
- W2949649669 hasConceptScore W2949649669C114614502 @default.
- W2949649669 hasConceptScore W2949649669C126087398 @default.
- W2949649669 hasConceptScore W2949649669C134306372 @default.
- W2949649669 hasConceptScore W2949649669C140142295 @default.
- W2949649669 hasConceptScore W2949649669C142362112 @default.
- W2949649669 hasConceptScore W2949649669C199360897 @default.
- W2949649669 hasConceptScore W2949649669C202444582 @default.
- W2949649669 hasConceptScore W2949649669C206399364 @default.
- W2949649669 hasConceptScore W2949649669C22324862 @default.
- W2949649669 hasConceptScore W2949649669C2777027219 @default.
- W2949649669 hasConceptScore W2949649669C2777667586 @default.
- W2949649669 hasConceptScore W2949649669C28826006 @default.
- W2949649669 hasConceptScore W2949649669C33923547 @default.
- W2949649669 hasConceptScore W2949649669C41008148 @default.
- W2949649669 hasConceptScore W2949649669C45555294 @default.
- W2949649669 hasConceptScore W2949649669C46979015 @default.
- W2949649669 hasConceptScore W2949649669C52119013 @default.
- W2949649669 hasConceptScore W2949649669C77553402 @default.
- W2949649669 hasConceptScore W2949649669C84135550 @default.
- W2949649669 hasLocation W29496496691 @default.
- W2949649669 hasOpenAccess W2949649669 @default.
- W2949649669 hasPrimaryLocation W29496496691 @default.
- W2949649669 hasRelatedWork W1482838798 @default.
- W2949649669 hasRelatedWork W1554475940 @default.
- W2949649669 hasRelatedWork W1586712901 @default.
- W2949649669 hasRelatedWork W2000373554 @default.
- W2949649669 hasRelatedWork W2042925916 @default.
- W2949649669 hasRelatedWork W2053109011 @default.
- W2949649669 hasRelatedWork W2081947588 @default.
- W2949649669 hasRelatedWork W2216777921 @default.
- W2949649669 hasRelatedWork W23338014 @default.
- W2949649669 hasRelatedWork W2912309118 @default.
- W2949649669 hasRelatedWork W2949090674 @default.
- W2949649669 hasRelatedWork W2951668837 @default.
- W2949649669 hasRelatedWork W2975749989 @default.
- W2949649669 hasRelatedWork W2998492360 @default.
- W2949649669 hasRelatedWork W3005484822 @default.
- W2949649669 hasRelatedWork W3006727221 @default.
- W2949649669 hasRelatedWork W3102032709 @default.
- W2949649669 hasRelatedWork W3102951817 @default.
- W2949649669 hasRelatedWork W3147697440 @default.
- W2949649669 hasRelatedWork W3153388444 @default.
- W2949649669 isParatext "false" @default.
- W2949649669 isRetracted "false" @default.
- W2949649669 magId "2949649669" @default.