FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2912008365> ?p ?o ?g. }

• W2912008365 endingPage "7684" @default.
• W2912008365 startingPage "7665" @default.
• W2912008365 abstract "The entropy power inequality (EPI) and the Brascamp-Lieb inequality (BLI) are fundamental inequalities concerning the differential entropies of linear transformations of random vectors. The EPI provides lower bounds for the differential entropy of linear transformations of random vectors with independent components. The BLI, on the other hand, provides upper bounds on the differential entropy of a random vector in terms of the differential entropies of some of its linear transformations. In this paper, we define a family of entropy functionals, which we show are subadditive. We then establish that Gaussians are extremal for these functionals by adapting a proof technique from Geng and Nair (2014). As a consequence, we obtain a new entropy inequality that generalizes both the BLI and EPI. By considering a variety of independence relations among the components of the random vectors appearing in these functionals, we also obtain families of inequalities that lie between the EPI and the BLI." @default.
• W2912008365 created "2019-02-21" @default.
• W2912008365 creator A5013689450 @default.
• W2912008365 creator A5021502006 @default.
• W2912008365 creator A5073405189 @default.
• W2912008365 date "2022-12-01" @default.
• W2912008365 modified "2023-10-13" @default.
• W2912008365 title "Unifying the Brascamp-Lieb Inequality and the Entropy Power Inequality" @default.
• W2912008365 cites W1544500240 @default.
• W2912008365 cites W1965042169 @default.
• W2912008365 cites W1969498847 @default.
• W2912008365 cites W1975135296 @default.
• W2912008365 cites W1989833377 @default.
• W2912008365 cites W1993000235 @default.
• W2912008365 cites W1995875735 @default.
• W2912008365 cites W2002867407 @default.
• W2912008365 cites W2003776291 @default.
• W2912008365 cites W2023267838 @default.
• W2912008365 cites W2028712970 @default.
• W2912008365 cites W2041880317 @default.
• W2912008365 cites W2043371182 @default.
• W2912008365 cites W2080624030 @default.
• W2912008365 cites W2086878253 @default.
• W2912008365 cites W2097854052 @default.
• W2912008365 cites W2130982575 @default.
• W2912008365 cites W2137226437 @default.
• W2912008365 cites W2147157881 @default.
• W2912008365 cites W2159998880 @default.
• W2912008365 cites W2171750587 @default.
• W2912008365 cites W2290247654 @default.
• W2912008365 cites W2301217285 @default.
• W2912008365 cites W2517990223 @default.
• W2912008365 cites W2593488053 @default.
• W2912008365 cites W2607262463 @default.
• W2912008365 cites W2773633221 @default.
• W2912008365 cites W2792772107 @default.
• W2912008365 cites W2794739231 @default.
• W2912008365 cites W2963010331 @default.
• W2912008365 cites W2963374125 @default.
• W2912008365 cites W2963594715 @default.
• W2912008365 cites W2963959668 @default.
• W2912008365 cites W2964192498 @default.
• W2912008365 cites W3014563205 @default.
• W2912008365 cites W3102478671 @default.
• W2912008365 cites W3105573210 @default.
• W2912008365 cites W3122729626 @default.
• W2912008365 cites W3197182340 @default.
• W2912008365 cites W3213147405 @default.
• W2912008365 cites W4241772732 @default.
• W2912008365 cites W4247407092 @default.
• W2912008365 doi "https://doi.org/10.1109/tit.2022.3192913" @default.
• W2912008365 hasPublicationYear "2022" @default.
• W2912008365 type Work @default.
• W2912008365 sameAs 2912008365 @default.
• W2912008365 citedByCount "5" @default.
• W2912008365 countsByYear W29120083652019 @default.
• W2912008365 countsByYear W29120083652023 @default.
• W2912008365 crossrefType "journal-article" @default.
• W2912008365 hasAuthorship W2912008365A5013689450 @default.
• W2912008365 hasAuthorship W2912008365A5021502006 @default.
• W2912008365 hasAuthorship W2912008365A5073405189 @default.
• W2912008365 hasBestOaLocation W29120083652 @default.
• W2912008365 hasConcept C105795698 @default.
• W2912008365 hasConcept C106301342 @default.
• W2912008365 hasConcept C118615104 @default.
• W2912008365 hasConcept C121332964 @default.
• W2912008365 hasConcept C122123141 @default.
• W2912008365 hasConcept C124551494 @default.
• W2912008365 hasConcept C125252325 @default.
• W2912008365 hasConcept C134306372 @default.
• W2912008365 hasConcept C138405894 @default.
• W2912008365 hasConcept C142611142 @default.
• W2912008365 hasConcept C19220575 @default.
• W2912008365 hasConcept C202444582 @default.
• W2912008365 hasConcept C28826006 @default.
• W2912008365 hasConcept C320580 @default.
• W2912008365 hasConcept C33923547 @default.
• W2912008365 hasConcept C42047476 @default.
• W2912008365 hasConcept C45555294 @default.
• W2912008365 hasConcept C62520636 @default.
• W2912008365 hasConcept C9679016 @default.
• W2912008365 hasConceptScore W2912008365C105795698 @default.
• W2912008365 hasConceptScore W2912008365C106301342 @default.
• W2912008365 hasConceptScore W2912008365C118615104 @default.
• W2912008365 hasConceptScore W2912008365C121332964 @default.
• W2912008365 hasConceptScore W2912008365C122123141 @default.
• W2912008365 hasConceptScore W2912008365C124551494 @default.
• W2912008365 hasConceptScore W2912008365C125252325 @default.
• W2912008365 hasConceptScore W2912008365C134306372 @default.
• W2912008365 hasConceptScore W2912008365C138405894 @default.
• W2912008365 hasConceptScore W2912008365C142611142 @default.
• W2912008365 hasConceptScore W2912008365C19220575 @default.
• W2912008365 hasConceptScore W2912008365C202444582 @default.
• W2912008365 hasConceptScore W2912008365C28826006 @default.
• W2912008365 hasConceptScore W2912008365C320580 @default.
• W2912008365 hasConceptScore W2912008365C33923547 @default.
• W2912008365 hasConceptScore W2912008365C42047476 @default.
• W2912008365 hasConceptScore W2912008365C45555294 @default.

• next