Matches in SemOpenAlex for { <https://semopenalex.org/work/W2679407553> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2679407553 abstract "We establish posterior sparsity in Bayesian inversion for systems with distributed parameter uncertainty subject to noisy data. We generalize the particular case of scalar diffusion problems with random coefficients in [32] to broad classes of operator equations. For countably parametric, deterministic representations of uncertainty in the forward problem which belongs to a certain sparsity class, we quantify analytic regularity of the (countably parametric) Bayesian posterior density and prove that the parametric, deterministic density of the Bayesian posterior belongs to the same sparsity class. Generalizing [35, 32], the considered forward problems are parametric, deterministic operator equations, and computational Bayesian inversion is to evaluate expectations of quantities of interest (QoIs) under the Bayesian posterior, conditional on given data. In an infinite-dimensional parametric, deterministic description of distributed parameter uncertainty we prove regularity and sparsity of the posterior density in Bayesian inversion. These results imply, on the one hand, sparsity of Legendre (generalized) polynomial chaos expansions of the Bayesian posterior and, on the other hand, convergence rates for data-adaptive Smolyak integration algorithms for computational Bayesian estimation which are independent of the dimension of the parameter space. The rates are, in particular, superior to Markov Chain Monte-Carlo sampling of the posterior, in terms of the number N of instances of the parametric forward problem to be solved." @default.
- W2679407553 created "2017-06-30" @default.
- W2679407553 creator A5039330337 @default.
- W2679407553 creator A5055530686 @default.
- W2679407553 date "2013-01-01" @default.
- W2679407553 modified "2023-09-23" @default.
- W2679407553 title "Sparsity in Bayesian inversion of parametric operator equations" @default.
- W2679407553 cites W130710483 @default.
- W2679407553 cites W1531455566 @default.
- W2679407553 cites W1970476229 @default.
- W2679407553 cites W1997719109 @default.
- W2679407553 cites W2000408025 @default.
- W2679407553 cites W2005606401 @default.
- W2679407553 cites W2015558767 @default.
- W2679407553 cites W2036766781 @default.
- W2679407553 cites W2041865295 @default.
- W2679407553 cites W2049222546 @default.
- W2679407553 cites W2054917359 @default.
- W2679407553 cites W2062993069 @default.
- W2679407553 cites W2070980742 @default.
- W2679407553 cites W2074686342 @default.
- W2679407553 cites W2082261407 @default.
- W2679407553 cites W2094952117 @default.
- W2679407553 cites W2110065034 @default.
- W2679407553 cites W2146961539 @default.
- W2679407553 cites W2239742255 @default.
- W2679407553 cites W2266868874 @default.
- W2679407553 cites W2690561861 @default.
- W2679407553 cites W2964198215 @default.
- W2679407553 cites W3021293439 @default.
- W2679407553 cites W3149667697 @default.
- W2679407553 doi "https://doi.org/10.3929/ethz-a-010389584" @default.
- W2679407553 hasPublicationYear "2013" @default.
- W2679407553 type Work @default.
- W2679407553 sameAs 2679407553 @default.
- W2679407553 citedByCount "0" @default.
- W2679407553 crossrefType "journal-article" @default.
- W2679407553 hasAuthorship W2679407553A5039330337 @default.
- W2679407553 hasAuthorship W2679407553A5055530686 @default.
- W2679407553 hasConcept C105795698 @default.
- W2679407553 hasConcept C107673813 @default.
- W2679407553 hasConcept C11413529 @default.
- W2679407553 hasConcept C117251300 @default.
- W2679407553 hasConcept C126255220 @default.
- W2679407553 hasConcept C28826006 @default.
- W2679407553 hasConcept C32230216 @default.
- W2679407553 hasConcept C33923547 @default.
- W2679407553 hasConcept C57830394 @default.
- W2679407553 hasConceptScore W2679407553C105795698 @default.
- W2679407553 hasConceptScore W2679407553C107673813 @default.
- W2679407553 hasConceptScore W2679407553C11413529 @default.
- W2679407553 hasConceptScore W2679407553C117251300 @default.
- W2679407553 hasConceptScore W2679407553C126255220 @default.
- W2679407553 hasConceptScore W2679407553C28826006 @default.
- W2679407553 hasConceptScore W2679407553C32230216 @default.
- W2679407553 hasConceptScore W2679407553C33923547 @default.
- W2679407553 hasConceptScore W2679407553C57830394 @default.
- W2679407553 hasIssue "17" @default.
- W2679407553 hasLocation W26794075531 @default.
- W2679407553 hasOpenAccess W2679407553 @default.
- W2679407553 hasPrimaryLocation W26794075531 @default.
- W2679407553 hasRelatedWork W2045542530 @default.
- W2679407553 hasRelatedWork W2049695470 @default.
- W2679407553 hasRelatedWork W2065534109 @default.
- W2679407553 hasRelatedWork W2091105969 @default.
- W2679407553 hasRelatedWork W2129859788 @default.
- W2679407553 hasRelatedWork W2240278837 @default.
- W2679407553 hasRelatedWork W2266868874 @default.
- W2679407553 hasRelatedWork W2900510194 @default.
- W2679407553 hasRelatedWork W2952124840 @default.
- W2679407553 hasRelatedWork W2963082475 @default.
- W2679407553 hasRelatedWork W2964333023 @default.
- W2679407553 hasRelatedWork W2968163194 @default.
- W2679407553 hasRelatedWork W3006775030 @default.
- W2679407553 hasRelatedWork W3022575441 @default.
- W2679407553 hasRelatedWork W3042936620 @default.
- W2679407553 hasRelatedWork W3103444582 @default.
- W2679407553 hasRelatedWork W3105825839 @default.
- W2679407553 hasRelatedWork W3120187723 @default.
- W2679407553 hasRelatedWork W3155268015 @default.
- W2679407553 hasRelatedWork W50042827 @default.
- W2679407553 hasVolume "2013" @default.
- W2679407553 isParatext "false" @default.
- W2679407553 isRetracted "false" @default.
- W2679407553 magId "2679407553" @default.
- W2679407553 workType "article" @default.