Matches in SemOpenAlex for { <https://semopenalex.org/work/W4299809334> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W4299809334 abstract "Directed information or its variants are utilized extensively in the characterization of the capacity of channels with memory and feedback, nonanticipative lossy data compression, and their generalizations to networks. In this paper, we derive several functional and topological properties of directed information for general abstract alphabets (complete separable metric spaces) using the topology of weak convergence of probability measures. These include convexity of the set of consistent distributions, which uniquely define causally conditioned distributions, convexity and concavity of directed information with respect to the sets of consistent distributions, weak compactness of these sets of distributions, their joint distributions and their marginals. Furthermore, we show lower semicontinuity of directed information, and under certain conditions we also establish continuity of directed information. Finally, we derive variational equalities for directed information, including sequential versions. These may be viewed as the analogue of the variational equalities of mutual information (utilized in Blahut-Arimoto algorithm). In summary, we extend the basic functional and topological properties of mutual information to directed information. These properties are discussed in the context of extremum problems of directed information." @default.
- W4299809334 created "2022-10-03" @default.
- W4299809334 creator A5035087201 @default.
- W4299809334 creator A5059216362 @default.
- W4299809334 date "2013-02-16" @default.
- W4299809334 modified "2023-10-18" @default.
- W4299809334 title "Directed Information on Abstract Spaces: Properties and Variational Equalities" @default.
- W4299809334 doi "https://doi.org/10.48550/arxiv.1302.3971" @default.
- W4299809334 hasPublicationYear "2013" @default.
- W4299809334 type Work @default.
- W4299809334 citedByCount "0" @default.
- W4299809334 crossrefType "posted-content" @default.
- W4299809334 hasAuthorship W4299809334A5035087201 @default.
- W4299809334 hasAuthorship W4299809334A5059216362 @default.
- W4299809334 hasBestOaLocation W42998093341 @default.
- W4299809334 hasConcept C105795698 @default.
- W4299809334 hasConcept C106159729 @default.
- W4299809334 hasConcept C114614502 @default.
- W4299809334 hasConcept C118615104 @default.
- W4299809334 hasConcept C134306372 @default.
- W4299809334 hasConcept C149441793 @default.
- W4299809334 hasConcept C151730666 @default.
- W4299809334 hasConcept C152139883 @default.
- W4299809334 hasConcept C162324750 @default.
- W4299809334 hasConcept C165021410 @default.
- W4299809334 hasConcept C176217482 @default.
- W4299809334 hasConcept C177264268 @default.
- W4299809334 hasConcept C184720557 @default.
- W4299809334 hasConcept C18648836 @default.
- W4299809334 hasConcept C198043062 @default.
- W4299809334 hasConcept C199360897 @default.
- W4299809334 hasConcept C202444582 @default.
- W4299809334 hasConcept C21547014 @default.
- W4299809334 hasConcept C2777303404 @default.
- W4299809334 hasConcept C2779343474 @default.
- W4299809334 hasConcept C33923547 @default.
- W4299809334 hasConcept C41008148 @default.
- W4299809334 hasConcept C50522688 @default.
- W4299809334 hasConcept C70710897 @default.
- W4299809334 hasConcept C72134830 @default.
- W4299809334 hasConcept C80444323 @default.
- W4299809334 hasConcept C86803240 @default.
- W4299809334 hasConceptScore W4299809334C105795698 @default.
- W4299809334 hasConceptScore W4299809334C106159729 @default.
- W4299809334 hasConceptScore W4299809334C114614502 @default.
- W4299809334 hasConceptScore W4299809334C118615104 @default.
- W4299809334 hasConceptScore W4299809334C134306372 @default.
- W4299809334 hasConceptScore W4299809334C149441793 @default.
- W4299809334 hasConceptScore W4299809334C151730666 @default.
- W4299809334 hasConceptScore W4299809334C152139883 @default.
- W4299809334 hasConceptScore W4299809334C162324750 @default.
- W4299809334 hasConceptScore W4299809334C165021410 @default.
- W4299809334 hasConceptScore W4299809334C176217482 @default.
- W4299809334 hasConceptScore W4299809334C177264268 @default.
- W4299809334 hasConceptScore W4299809334C184720557 @default.
- W4299809334 hasConceptScore W4299809334C18648836 @default.
- W4299809334 hasConceptScore W4299809334C198043062 @default.
- W4299809334 hasConceptScore W4299809334C199360897 @default.
- W4299809334 hasConceptScore W4299809334C202444582 @default.
- W4299809334 hasConceptScore W4299809334C21547014 @default.
- W4299809334 hasConceptScore W4299809334C2777303404 @default.
- W4299809334 hasConceptScore W4299809334C2779343474 @default.
- W4299809334 hasConceptScore W4299809334C33923547 @default.
- W4299809334 hasConceptScore W4299809334C41008148 @default.
- W4299809334 hasConceptScore W4299809334C50522688 @default.
- W4299809334 hasConceptScore W4299809334C70710897 @default.
- W4299809334 hasConceptScore W4299809334C72134830 @default.
- W4299809334 hasConceptScore W4299809334C80444323 @default.
- W4299809334 hasConceptScore W4299809334C86803240 @default.
- W4299809334 hasLocation W42998093341 @default.
- W4299809334 hasLocation W42998093342 @default.
- W4299809334 hasOpenAccess W4299809334 @default.
- W4299809334 hasPrimaryLocation W42998093341 @default.
- W4299809334 hasRelatedWork W1965030319 @default.
- W4299809334 hasRelatedWork W1966145770 @default.
- W4299809334 hasRelatedWork W1999551124 @default.
- W4299809334 hasRelatedWork W2032364780 @default.
- W4299809334 hasRelatedWork W2323168379 @default.
- W4299809334 hasRelatedWork W2429757691 @default.
- W4299809334 hasRelatedWork W2572273616 @default.
- W4299809334 hasRelatedWork W2650039746 @default.
- W4299809334 hasRelatedWork W2783715148 @default.
- W4299809334 hasRelatedWork W3130685204 @default.
- W4299809334 isParatext "false" @default.
- W4299809334 isRetracted "false" @default.
- W4299809334 workType "article" @default.