Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012651577> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W2012651577 abstract "Motivated by a series of recently discovered inequalities for the sum and difference of discrete or continuous random variables [3], [5], [9], [10], we argue that the most natural, general form of these results is in terms of a special case of a mutual information, which we call the Ruzsa divergence between two probability distributions. This can be defined for arbitrary pairs of random variables taking values in any discrete (countable) set, on R <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> , or in fact on any locally compact Hausdorff abelian group. We study the basic properties of the Rusza divergence and derive numerous consequences. In particular, we show that many of the inequalities in [3], [5], [9], [10] can be stated and proved in a unified way, extending their validity to the present general setting. For example, consequences of the basic properties of the Ruzsa divergence developed here include the fact that the entropies of the sum and the difference of two independent random vectors severely constrain each other, as well as entropy analogues of a number of results in additive combinatorics. Although the setting is quite general, the results are already of interest (and new) in the case of random vectors in R <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> . For instance, another consequence in R <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> is an entropic analogue (in the setting of log-concave distributions) of the Rogers-Shephard inequality for convex bodies." @default.
- W2012651577 created "2016-06-24" @default.
- W2012651577 creator A5044225058 @default.
- W2012651577 creator A5089127356 @default.
- W2012651577 date "2013-09-01" @default.
- W2012651577 modified "2023-10-16" @default.
- W2012651577 title "The entropy of sums and Rusza's divergence on abelian groups" @default.
- W2012651577 cites W1987254493 @default.
- W2012651577 cites W2102646476 @default.
- W2012651577 cites W2169690298 @default.
- W2012651577 cites W2912209775 @default.
- W2012651577 cites W3103598778 @default.
- W2012651577 cites W3106140828 @default.
- W2012651577 doi "https://doi.org/10.1109/itw.2013.6691279" @default.
- W2012651577 hasPublicationYear "2013" @default.
- W2012651577 type Work @default.
- W2012651577 sameAs 2012651577 @default.
- W2012651577 citedByCount "0" @default.
- W2012651577 crossrefType "proceedings-article" @default.
- W2012651577 hasAuthorship W2012651577A5044225058 @default.
- W2012651577 hasAuthorship W2012651577A5089127356 @default.
- W2012651577 hasConcept C105795698 @default.
- W2012651577 hasConcept C106301342 @default.
- W2012651577 hasConcept C110729354 @default.
- W2012651577 hasConcept C114614502 @default.
- W2012651577 hasConcept C118615104 @default.
- W2012651577 hasConcept C121332964 @default.
- W2012651577 hasConcept C122123141 @default.
- W2012651577 hasConcept C136170076 @default.
- W2012651577 hasConcept C138885662 @default.
- W2012651577 hasConcept C149441793 @default.
- W2012651577 hasConcept C207390915 @default.
- W2012651577 hasConcept C33923547 @default.
- W2012651577 hasConcept C41895202 @default.
- W2012651577 hasConcept C62520636 @default.
- W2012651577 hasConceptScore W2012651577C105795698 @default.
- W2012651577 hasConceptScore W2012651577C106301342 @default.
- W2012651577 hasConceptScore W2012651577C110729354 @default.
- W2012651577 hasConceptScore W2012651577C114614502 @default.
- W2012651577 hasConceptScore W2012651577C118615104 @default.
- W2012651577 hasConceptScore W2012651577C121332964 @default.
- W2012651577 hasConceptScore W2012651577C122123141 @default.
- W2012651577 hasConceptScore W2012651577C136170076 @default.
- W2012651577 hasConceptScore W2012651577C138885662 @default.
- W2012651577 hasConceptScore W2012651577C149441793 @default.
- W2012651577 hasConceptScore W2012651577C207390915 @default.
- W2012651577 hasConceptScore W2012651577C33923547 @default.
- W2012651577 hasConceptScore W2012651577C41895202 @default.
- W2012651577 hasConceptScore W2012651577C62520636 @default.
- W2012651577 hasLocation W20126515771 @default.
- W2012651577 hasOpenAccess W2012651577 @default.
- W2012651577 hasPrimaryLocation W20126515771 @default.
- W2012651577 hasRelatedWork W1580435510 @default.
- W2012651577 hasRelatedWork W1997503460 @default.
- W2012651577 hasRelatedWork W2012651577 @default.
- W2012651577 hasRelatedWork W2024921743 @default.
- W2012651577 hasRelatedWork W2043000024 @default.
- W2012651577 hasRelatedWork W2043332457 @default.
- W2012651577 hasRelatedWork W2090941602 @default.
- W2012651577 hasRelatedWork W2093253442 @default.
- W2012651577 hasRelatedWork W2791403671 @default.
- W2012651577 hasRelatedWork W3021358325 @default.
- W2012651577 isParatext "false" @default.
- W2012651577 isRetracted "false" @default.
- W2012651577 magId "2012651577" @default.
- W2012651577 workType "article" @default.