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Hierarchical Bayesian level set inversion [PDF]
Statistics and Computing, 2016 The level set approach has proven widely successful in the study of inverse problems for interfaces, since its systematic development in the 1990s. Recently it has been employed in the context of Bayesian inversion, allowing for the quantification of uncertainty within the reconstruction of interfaces. However the Bayesian approach is very sensitive to
Matthew M. Dunlop +2 more
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On Bayesian scatterometer wind inversion [PDF]
IEEE Transactions on Geoscience and Remote Sensing, 2006 In a quest for a generic unbiased scatterometer wind inversion method, the different inversion procedures currently in use are revisited in this paper. A careful examination of both the errors in the wind and in the measurement domain, combined with the nonlinear shape of the geophysical model function (GMF), leads to a generic and novel Bayesian wind ...
Stoffelen, Ad, Portabella, Marcos
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Fast Bayesian inversion for high dimensional inverse problems
Statistics and Computing, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kugler, Benoit +2 more
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Bayesian seismic multi-scale inversion in complex Laplace mixed domains
Petroleum Science, 2017 Seismic inversion performed in the time or frequency domain cannot always recover the long-wavelength background of subsurface parameters due to the lack of low-frequency seismic records.
Kun Li, Xing-Yao Yin, Zhao-Yun Zong
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Bayesian inversion with α-stable priors
Inverse Problems, 2023 Abstract We propose using Lévy α-stable distributions to construct priors for Bayesian inverse problems. The construction is based on Markov fields with stable-distributed increments. Special cases include the Cauchy and Gaussian distributions, with stability indices α = 1, and α = 2, respectively. Our target is to show that these priors
Jarkko Suuronen +3 more
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Iterative Updating of Model Error for Bayesian Inversion [PDF]
, 2017 In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute.
Calvetti, Daniela +3 more
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Bayesian Rotation Inversion of KIC 11145123 [PDF]
The Astrophysical Journal, 2022 Abstract A scheme of Bayesian rotation inversion, which allows us to compute the probability of a model of a stellar rotational profile, is developed. The validation of the scheme with simple rotational profiles and the corresponding sets of artificially generated rotational shifts has been successfully carried out, and we can correctly ...
Yoshiki Hatta +3 more
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Parameter Estimation via Conditional Expectation --- A Bayesian Inversion [PDF]
, 2016 When a mathematical or computational model is used to analyse some system, it is usual that some parameters resp.\ functions or fields in the model are not known, and hence uncertain. These parametric quantities are then identified by actual observations
Litvinenko, Alexander +3 more
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3D Bayesian Variational Full-Waveform Inversion
Geophysical Journal International, 2023 Seismic full-waveform inversion (FWI) produces high resolution images of the subsurface by exploiting information in full acoustic, seismic or electromagnetic waveforms, and has been applied at global, regional and industrial spatial scales. FWI inverse problems are traditionally solved by using optimization, in which one seeks a best model by ...
Xin Zhang +4 more
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Journal of Marine Science and Engineering, 2019 The key to model-based Bayesian geoacoustic inversion is to solve the posterior probability distributions (PPDs) of parameters. In order to obtain PPDs more efficiently and accurately, the state-of-the-art Markov chain Monte Carlo (MCMC) method, multiple-
Bo Zou +5 more
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