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    Parallel Finite Element Processing Using Gaussian Belief Propagation
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  accessed:
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      month: 5
      day: 13
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  citation-key: OliverHybrid2022
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  language: en
  page: 1289-1313
  title: >-
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  citation-key: PerdikarisModel2016
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    Model inversion via multi-fidelity Bayesian optimization: a new paradigm for
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  publisher: Society for Industrial and Applied Mathematics
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  accessed:
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    - family: Seror
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    - family: Hutchinson
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    - family: Bortoli
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    - family: Doucet
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    - family: Mathieu
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  citation-key: PhillipsSpectral2022
  event-title: NeurIPS 2022 Workshop on Score-Based Methods
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      day: 29
  language: en
  title: Spectral Diffusion Processes
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- id: PielokApproximate2023
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    - family: Bischl
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  citation-key: PielokApproximate2023
  event-title: The Eleventh International Conference on Learning Representations
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  language: en
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- id: PikkarainenState2006
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  language: en
  page: 365–379
  publisher: IOP Publishing
  title: >-
    State estimation approach to nonstationary inverse problems: discretization
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  title: >-
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  citation-key: PlumleeBayesian2017
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  DOI: 10.1080/01621459.2016.1211016
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  issued:
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  publisher: Taylor & Francis
  title: Bayesian Calibration of Inexact Computer Models
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  accessed:
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    - family: Poppeliers
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  citation-key: PrestonLDRD2021
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  issued:
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      day: 1
  language: English
  number: SAND2021-10885
  publisher: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
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    - family: Perdikaris
      given: Paris
    - family: Karniadakis
      given: George Em
  citation-key: RaissiPhysics2017
  issued:
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      month: 11
      day: 28
  language: en
  title: >-
    Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear
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  citation-key: RaissiPhysics2017a
  issued:
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      month: 11
      day: 28
  language: en
  title: >-
    Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear
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- id: RaissiPhysicsinformed2019
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  citation-key: RaissiPhysicsinformed2019
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  title: >-
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- id: RoininenWhittleMatern2014
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    - family: Lasanen
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  container-title: Inverse Problems & Imaging
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  issued:
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  language: en
  page: '561'
  publisher: American Institute of Mathematical Sciences
  title: >-
    Whittle-Matérn priors for Bayesian statistical inversion with applications
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    - family: Doel
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    - family: Ascher
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  citation-key: RoostaKhorasaniData2014
  DOI: 10.48550/arXiv.1312.0707
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      month: 12
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  number: arXiv:1312.0707
  publisher: arXiv
  title: >-
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  citation-key: SainsburyDaleFast2022
  DOI: 10.48550/arXiv.2208.12942
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  number: arXiv:2208.12942
  publisher: arXiv
  title: >-
    Fast Optimal Estimation with Intractable Models using Permutation-Invariant
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- id: SambridgeGeophysical2022
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      month: 12
      day: 20
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    - family: Jackson
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    - family: Valentine
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  citation-key: SambridgeGeophysical2022
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  ISSN: 1944-9208
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  title: Monte Carlo Methods in Geophysical Inverse Problems
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- id: SarkkaSpatiotemporal2013
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  title: >-
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  title: >-
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    - family: Guttorp
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  DOI: 10.3929/ETHZ-A-009900551
  issued:
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  publisher: ETH Zurich
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  publisher: ETH Zurich
  title: >-
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- id: SigristStochastic2015
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  title: >-
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  citation-key: SongScoreBased2022
  event-title: International Conference on Learning Representations
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  language: en
  title: Score-Based Generative Modeling through Stochastic Differential Equations
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    - family: Shen
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    - family: Xing
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  event-title: ICLR
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      day: 15
  language: en
  publisher: arXiv
  title: >-
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  author:
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  citation-key: SpantiniLowdimensional2017
  genre: Thesis
  issued:
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  language: eng
  publisher: Massachusetts Institute of Technology
  title: On the low-dimensional structure of Bayesian inference
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  citation-key: StuartInverse2010
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  DOI: 10.1017/S0962492910000061
  ISSN: 1474-0508, 0962-4929
  issued:
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  language: en
  page: 451–559
  title: 'Inverse problems: A Bayesian perspective'
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    - family: Teckentrup
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  citation-key: StuartPosterior2016
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  issued:
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  title: >-
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- id: SunFunctional2019
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    - family: Zhang
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    - family: Shi
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    - family: Grosse
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  citation-key: SunFunctional2019
  event-title: International Conference on Learning Representations
  issued:
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      day: 13
  language: en
  title: Functional Variational Bayesian Neural Networks
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    - family: Damoulas
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  citation-key: TaitVariational2020
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  title: Variational Autoencoding of PDE Inverse Problems
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      given: Albert
  citation-key: TarantolaInverse2005
  ISBN: 978-0-89871-572-9
  issued:
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      month: 1
      day: 1
  language: en
  number-of-pages: '348'
  publisher: SIAM
  title: Inverse Problem Theory and Methods for Model Parameter Estimation
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- id: TarantolaMapping
  archive: Calibre
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  citation-key: TarantolaMapping
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- id: TeckentrupConvergence2020
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  citation-key: TeckentrupConvergence2020
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  title: >-
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      month: 12
      day: 20
  author:
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  citation-key: ValentineEmerging2022
  DOI: 10.48550/arXiv.2110.06017
  issued:
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  number: arXiv:2110.06017
  publisher: arXiv
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      month: 12
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...
