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==Abstract==
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We investigate the use of normalizing flows to approximate transport maps from tractable reference densities to complex Bayesian posterior distributions for Bayesian model updating. A Gaussian process (GP) surrogate with active sampling is used to provide a differentiable target density for optimizing the transport map. While results show normalizing flows can capture multimodal behavior in a simple example, further work is needed to refine the active sampling strategy and enable mode identification in the GP surrogate for robust multimodal density approximation.
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== Full Paper ==
 
== Full Paper ==
<pdf>Media:Draft_content_557152526I250452.pdf</pdf>
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<pdf>Media:Mett_et_al_2025a_5518_I250452_23_QK9T.pdf</pdf>

Latest revision as of 08:34, 27 June 2025

Abstract

We investigate the use of normalizing flows to approximate transport maps from tractable reference densities to complex Bayesian posterior distributions for Bayesian model updating. A Gaussian process (GP) surrogate with active sampling is used to provide a differentiable target density for optimizing the transport map. While results show normalizing flows can capture multimodal behavior in a simple example, further work is needed to refine the active sampling strategy and enable mode identification in the GP surrogate for robust multimodal density approximation.

Full Paper

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Published on 16/05/25
Submitted on 16/05/25

Volume Recent advances in Bayesian computation for uncertainty-aware inverse analysis, 2025
DOI: 10.23967/icossar.2025.053
Licence: CC BY-NC-SA license

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