Matches in SemOpenAlex for { <https://semopenalex.org/work/W4322824984> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4322824984 abstract "We present a dimension-reduced KRnet map approach (DR-KRnet) for high-dimensional Bayesian inverse problems, which is based on an explicit construction of a map that pushes forward the prior measure to the posterior measure in the latent space. Our approach consists of two main components: data-driven VAE prior and density approximation of the posterior of the latent variable. In reality, it may not be trivial to initialize a prior distribution that is consistent with available prior data; in other words, the complex prior information is often beyond simple hand-crafted priors. We employ variational autoencoder (VAE) to approximate the underlying distribution of the prior dataset, which is achieved through a latent variable and a decoder. Using the decoder provided by the VAE prior, we reformulate the problem in a low-dimensional latent space. In particular, we seek an invertible transport map given by KRnet to approximate the posterior distribution of the latent variable. Moreover, an efficient physics-constrained surrogate model without any labeled data is constructed to reduce the computational cost of solving both forward and adjoint problems involved in likelihood computation. With numerical experiments, we demonstrate the accuracy and efficiency of DR-KRnet for high-dimensional Bayesian inverse problems." @default.
- W4322824984 created "2023-03-03" @default.
- W4322824984 creator A5014407690 @default.
- W4322824984 creator A5016241233 @default.
- W4322824984 creator A5062753537 @default.
- W4322824984 creator A5068251958 @default.
- W4322824984 date "2023-03-01" @default.
- W4322824984 modified "2023-10-18" @default.
- W4322824984 title "Dimension-reduced KRnet maps for high-dimensional Bayesian inverse problems" @default.
- W4322824984 doi "https://doi.org/10.48550/arxiv.2303.00573" @default.
- W4322824984 hasPublicationYear "2023" @default.
- W4322824984 type Work @default.
- W4322824984 citedByCount "0" @default.
- W4322824984 crossrefType "posted-content" @default.
- W4322824984 hasAuthorship W4322824984A5014407690 @default.
- W4322824984 hasAuthorship W4322824984A5016241233 @default.
- W4322824984 hasAuthorship W4322824984A5062753537 @default.
- W4322824984 hasAuthorship W4322824984A5068251958 @default.
- W4322824984 hasBestOaLocation W43228249841 @default.
- W4322824984 hasConcept C101738243 @default.
- W4322824984 hasConcept C107673813 @default.
- W4322824984 hasConcept C108583219 @default.
- W4322824984 hasConcept C11413529 @default.
- W4322824984 hasConcept C114614502 @default.
- W4322824984 hasConcept C124101348 @default.
- W4322824984 hasConcept C126255220 @default.
- W4322824984 hasConcept C134306372 @default.
- W4322824984 hasConcept C135252773 @default.
- W4322824984 hasConcept C154945302 @default.
- W4322824984 hasConcept C177769412 @default.
- W4322824984 hasConcept C2780009758 @default.
- W4322824984 hasConcept C28826006 @default.
- W4322824984 hasConcept C33676613 @default.
- W4322824984 hasConcept C33923547 @default.
- W4322824984 hasConcept C41008148 @default.
- W4322824984 hasConcept C51167844 @default.
- W4322824984 hasConcept C57830394 @default.
- W4322824984 hasConcept C65965080 @default.
- W4322824984 hasConceptScore W4322824984C101738243 @default.
- W4322824984 hasConceptScore W4322824984C107673813 @default.
- W4322824984 hasConceptScore W4322824984C108583219 @default.
- W4322824984 hasConceptScore W4322824984C11413529 @default.
- W4322824984 hasConceptScore W4322824984C114614502 @default.
- W4322824984 hasConceptScore W4322824984C124101348 @default.
- W4322824984 hasConceptScore W4322824984C126255220 @default.
- W4322824984 hasConceptScore W4322824984C134306372 @default.
- W4322824984 hasConceptScore W4322824984C135252773 @default.
- W4322824984 hasConceptScore W4322824984C154945302 @default.
- W4322824984 hasConceptScore W4322824984C177769412 @default.
- W4322824984 hasConceptScore W4322824984C2780009758 @default.
- W4322824984 hasConceptScore W4322824984C28826006 @default.
- W4322824984 hasConceptScore W4322824984C33676613 @default.
- W4322824984 hasConceptScore W4322824984C33923547 @default.
- W4322824984 hasConceptScore W4322824984C41008148 @default.
- W4322824984 hasConceptScore W4322824984C51167844 @default.
- W4322824984 hasConceptScore W4322824984C57830394 @default.
- W4322824984 hasConceptScore W4322824984C65965080 @default.
- W4322824984 hasLocation W43228249841 @default.
- W4322824984 hasOpenAccess W4322824984 @default.
- W4322824984 hasPrimaryLocation W43228249841 @default.
- W4322824984 hasRelatedWork W2506836077 @default.
- W4322824984 hasRelatedWork W2891583400 @default.
- W4322824984 hasRelatedWork W2949649223 @default.
- W4322824984 hasRelatedWork W2964282953 @default.
- W4322824984 hasRelatedWork W3041775337 @default.
- W4322824984 hasRelatedWork W3188282375 @default.
- W4322824984 hasRelatedWork W3190781603 @default.
- W4322824984 hasRelatedWork W3191015360 @default.
- W4322824984 hasRelatedWork W4322824984 @default.
- W4322824984 hasRelatedWork W4206877301 @default.
- W4322824984 isParatext "false" @default.
- W4322824984 isRetracted "false" @default.
- W4322824984 workType "article" @default.