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      month: 5
      day: 19
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  issued:
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  language: en
  publisher: arXiv
  title: >-
    Component-wise iterative ensemble Kalman inversion for static Bayesian
    models with unknown measurement error covariance
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- id: ChadaConvergence2022
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  title: >-
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  issued:
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      month: 7
      day: 19
  language: en
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  title: Auto-differentiable Ensemble Kalman Filters
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  title: >-
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  language: en
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  title: >-
    On the Stability and the Uniform Propagation of Chaos of a Class of Extended
    Ensemble Kalman-Bucy Filters
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- id: DelMoralTaylor2018
  accessed:
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  issued:
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  language: en
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  publisher: arXiv
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- id: DolcettiReal2020
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      month: 5
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      day: 29
  language: en
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  publisher: arXiv
  title: >-
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- id: DubruleKriging2018
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      month: 9
      day: 23
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      given: B.S.
    - family: Cheng
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    - family: Agterberg
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  event-place: Cham
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  language: en
  page: 3-24
  publisher: Springer International Publishing
  publisher-place: Cham
  title: >-
    Kriging, Splines, Conditional Simulation, Bayesian Inversion and Ensemble
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- id: DuffinStatistical2021
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  issued:
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      month: 1
      day: 12
  language: en
  PMID: '33372139'
  publisher: National Academy of Sciences
  section: Physical Sciences
  title: Statistical finite elements for misspecified models
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- id: DunbarEnsemble2022
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      day: 5
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    - family: Duncan
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    - family: Wolfram
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  DOI: 10.1137/21M1410853
  issue: '2'
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      month: 6
      day: 30
  page: 1539-1572
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  title: Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods
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  language: English
  number-of-pages: '314'
  publisher: Springer
  publisher-place: Berlin; Heidelberg
  title: Data Assimilation - The Ensemble Kalman Filter
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- id: EvensenEnsemble2000
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      day: 22
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  citation-key: EvensenEnsemble2000
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      month: 6
  language: en
  page: 1852-1867
  publisher: American Meteorological Society
  section: Monthly Weather Review
  title: An Ensemble Kalman Smoother for Nonlinear Dynamics
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- id: EvensenEnsemble2003
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    - year: 2017
      month: 8
      day: 28
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  citation-key: EvensenEnsemble2003
  container-title: Ocean Dynamics
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  DOI: 10.1007/s10236-003-0036-9
  ISSN: 1616-7341, 1616-7228
  issue: '4'
  issued:
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      month: 11
      day: 1
  language: en
  page: 343-367
  title: >-
    The Ensemble Kalman Filter: theoretical formulation and practical
    implementation
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- id: EvensenEnsemble2009
  author:
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      given: Geir
  citation-key: EvensenEnsemble2009
  container-title: IEEE Control Systems
  DOI: 10.1109/MCS.2009.932223
  ISSN: 1066-033X
  issue: '3'
  issued:
    - year: 2009
      month: 6
  page: 83-104
  title: The ensemble Kalman filter for combined state and parameter estimation
  type: article-journal
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- id: EvensenSampling2004
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      month: 5
      day: 8
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      given: Geir
  citation-key: EvensenSampling2004
  container-title: Ocean Dynamics
  container-title-short: Ocean Dynamics
  DOI: 10.1007/s10236-004-0099-2
  ISSN: 1616-7341, 1616-7228
  issue: '6'
  issued:
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      month: 12
  language: en
  page: 539-560
  title: Sampling strategies and square root analysis schemes for the EnKF
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  volume: '54'

- id: EvensenSequential1994
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      month: 3
      day: 25
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      given: Geir
  citation-key: EvensenSequential1994
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  ISSN: 2156-2202
  issue: C5
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  language: en
  page: 10143-10162
  title: >-
    Sequential data assimilation with a nonlinear quasi-geostrophic model using
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- id: FearnheadParticle2018
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      month: 3
      day: 19
  author:
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      given: Paul
    - family: Künsch
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  citation-key: FearnheadParticle2018
  container-title: Annual Review of Statistics and Its Application
  DOI: 10.1146/annurev-statistics-031017-100232
  issue: '1'
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  page: 421-449
  title: Particle Filters and Data Assimilation
  type: article-journal
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- id: FinnEnsemblebased2021
  accessed:
    - year: 2022
      month: 5
      day: 7
  author:
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      given: Tobias Sebastian
    - family: Geppert
      given: Gernot
    - family: Ament
      given: Felix
  citation-key: FinnEnsemblebased2021
  DOI: 10.5194/hess-2020-672
  genre: preprint
  issued:
    - year: 2021
      month: 1
      day: 20
  language: en
  publisher: Catchment hydrology/Modelling approaches
  title: >-
    Ensemble-based data assimilation of atmospheric boundary layerobservations
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- id: FurrerCovariance2006
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  publisher: Taylor & Francis
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- id: FurrerEstimation2007
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  title: >-
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- id: GalyFajouFlexible2021
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  publisher: Multidisciplinary Digital Publishing Institute
  title: >-
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  publisher: Society for Industrial and Applied Mathematics
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  title: >-
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  language: en
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  number: arXiv:2005.02039
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  title: Ensemble Kalman filter for neural network based one-shot inversion
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- id: KantasParticle2015
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  title: On Particle Methods for Parameter Estimation in State-Space Models
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  title: Understanding the Ensemble Kalman Filter
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  publisher: IOP Publishing
  title: >-
    Ensemble Kalman inversion: a derivative-free technique for machine learning
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- id: KuzinEnsemble2018
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  page: 39-46
  title: >-
    Ensemble Kalman Filtering for Online Gaussian Process Regression and
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- id: LabahnEnsemble2020
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  page: 861-893
  title: >-
    Ensemble Kalman Filter for Assimilating Experimental Data into Large-Eddy
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- id: LakshmivarahanEnsemble2009
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  title: Deterministic Mean-Field Ensemble Kalman Filtering
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- id: LeGlandLarge2009
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  title: An Adaptive Ensemble Kalman Filter
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  title: A local ensemble Kalman filter for atmospheric data assimilation
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  DOI: 10.48550/arXiv.1803.06058
  event-title: ICML
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      month: 6
      day: 20
  publisher: arXiv
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- id: PopovCombining2022
  accessed:
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      month: 9
      day: 5
  author:
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  citation-key: PopovCombining2022
  issued:
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      day: 23
  language: en
  medium: ETD
  publisher: Virginia Tech
  title: Combining Data-driven and Theory-guided Models in Ensemble Data Assimilation
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  title: Introduction to Data Assimilation and the Ensemble Kalman Filter
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    - family: Stordal
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    - family: Evensen
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  container-title: Nonlinear Processes in Geophysics
  DOI: 10.5194/npg-26-325-2019
  ISSN: 1023-5809
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  issued:
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  language: English
  page: 325-338
  publisher: Copernicus GmbH
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- id: ReichFokkerPlanck2019
  accessed:
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  issued:
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      month: 11
      day: 25
  language: en
  title: >-
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- id: RothEnsemble2017
  accessed:
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      given: Michael
    - family: Hendeby
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    - family: Fritsche
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  container-title: EURASIP Journal on Advances in Signal Processing
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  DOI: 10.1186/s13634-017-0492-x
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  title: 'The Ensemble Kalman filter: a signal processing perspective'
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  volume: '2017'

- id: RoutrayIntroduction2016
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  container-title: >-
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  language: en
  page: 307-330
  publisher: Springer Netherlands
  publisher-place: Dordrecht
  title: Introduction to Data Assimilation Techniques and Ensemble Kalman Filter
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- id: SainsburyDaleFast2022
  accessed:
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  author:
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    - family: Zammit-Mangion
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  DOI: 10.48550/arXiv.2208.12942
  issued:
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      month: 8
      day: 27
  number: arXiv:2208.12942
  publisher: arXiv
  title: >-
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- id: SanderyClimate2020
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  container-title: Monthly Weather Review
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  issue: '6'
  issued:
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      day: 1
  language: en
  page: 2411-2431
  title: >-
    Climate Model State Estimation Using Variants of EnKF Coupled Data
    Assimilation
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- id: SchillingsAnalysis2017
  accessed:
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      month: 8
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  container-title: SIAM Journal on Numerical Analysis
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  publisher: Society for Industrial and Applied Mathematics
  title: Analysis of the Ensemble Kalman Filter for Inverse Problems
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  volume: '55'

- id: SchneiderEnsemble2022
  accessed:
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      month: 10
      day: 12
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    - family: Wu
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  citation-key: SchneiderEnsemble2022
  container-title: Journal of Computational Physics
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  DOI: 10.1016/j.jcp.2022.111559
  ISSN: 0021-9991
  issued:
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      month: 12
      day: 1
  language: en
  page: '111559'
  title: >-
    Ensemble Kalman inversion for sparse learning of dynamical systems from
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  volume: '470'

- id: ShumwayTime2011
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  collection-title: Springer Texts in Statistics
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  language: en
  publisher: Springer New York
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    - family: Wang
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  event-title: International Conference on Learning Representations
  issued:
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      month: 1
      day: 28
  language: en
  title: Fast Differentiable Matrix Square Root
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- id: SpantiniCoupling2022
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  page: 921-953
  publisher: Society for Industrial and Applied Mathematics
  title: Coupling Techniques for Nonlinear Ensemble Filtering
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  volume: '64'

- id: StordalPKernel2021
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  container-title: Mathematical Geosciences
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  title: >-
    p-Kernel Stein Variational Gradient Descent for Data Assimilation and
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- id: StroudBayesian2018
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  page: 373-386
  publisher: American Meteorological Society
  section: Monthly Weather Review
  title: >-
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- id: StroudEnsemble2010
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  publisher: Taylor & Francis
  title: An Ensemble Kalman Filter and Smoother for Satellite Data Assimilation
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  volume: '105'

- id: TaghvaeiOptimal2021
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  container-title: IEEE Transactions on Automatic Control
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  title: An Optimal Transport Formulation of the Ensemble Kalman Filter
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- id: TamangEnsemble2021
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  ISSN: 1607-7946
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  issued:
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      day: 6
  language: en
  page: 295-309
  title: Ensemble Riemannian data assimilation over the Wasserstein space
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  issue: '7'
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  page: 1485–1490
  publisher: American Meteorological Society
  section: Monthly Weather Review
  title: Ensemble square root filters
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  volume: '131'

- id: UbaruFast2017
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  publisher: Society for Industrial and Applied Mathematics
  title: Fast Estimation of $tr(f(A))$ via Stochastic Lanczos Quadrature
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  language: en
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  title: Tidal flow forecasting using reduced rank square root filters
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  container-title: Statistics and Computing
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  language: en
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  page: 191-201
  title: >-
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- id: YangSequential2018
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  publisher: International Society for Bayesian Analysis
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- id: YegenogluEnsemble2020
  accessed:
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      day: 20
  author:
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    - family: Krajsek
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    - family: Pier
      given: Sandra Diaz
    - family: Herty
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  citation-key: YegenogluEnsemble2020
  container-title: Machine Learning, Optimization, and Data Science
  DOI: 10.1007/978-3-030-64580-9_7
  editor:
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      given: Giuseppe
    - family: Ojha
      given: Varun
    - family: La Malfa
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    - family: Jansen
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    - family: Sciacca
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    - family: Pardalos
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    - family: Giuffrida
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    - family: Umeton
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  event-place: Cham
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  language: en
  page: 78-92
  publisher: Springer International Publishing
  publisher-place: Cham
  title: >-
    Ensemble Kalman Filter Optimizing Deep Neural Networks: An Alternative
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- id: ZhangIterative2018
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  issue: '3'
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  language: en
  page: 1716-1733
  title: >-
    An Iterative Local Updating Ensemble Smoother for Estimation and Uncertainty
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  type: article-journal
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...
