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  citation-key: AjiGeneralized2000
  container-title: IEEE Transactions on Information Theory
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  ISSN: 1557-9654
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    - year: 2000
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  page: 325-343
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- id: AkbayrakExtended2021
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- id: AmbrogioniAutomatic2021
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  language: en
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- id: ArnoldConditional1999
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  collection-title: UAI'99
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- id: BapstHarnessing2016
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- id: BarberBayesian2012
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      given: David
  call-number: QA267 .B347 2012
  citation-key: BarberBayesian2012
  event-place: Cambridge ; New York
  ISBN: 978-0-521-51814-7
  issued:
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  number-of-pages: '697'
  publisher: Cambridge University Press
  publisher-place: Cambridge ; New York
  title: Bayesian reasoning and machine learning
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- id: BarbierPhase2017
  accessed:
    - year: 2018
      month: 1
      day: 15
  author:
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      given: Jean
    - family: Krzakala
      given: Florent
    - family: Macris
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      given: Léo
    - family: Zdeborová
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  citation-key: BarbierPhase2017
  container-title: arXiv:1708.03395 [cond-mat, physics:math-ph]
  issued:
    - year: 2017
      month: 8
      day: 10
  title: >-
    Phase Transitions, Optimal Errors and Optimality of Message-Passing in
    Generalized Linear Models
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- id: BarbierStatistical2015
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      month: 12
      day: 2
  author:
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      given: Jean
  citation-key: BarbierStatistical2015
  container-title: arXiv:1511.01650 [cs, math]
  issued:
    - year: 2015
      month: 11
      day: 5
  title: >-
    Statistical physics and approximate message-passing algorithms for sparse
    linear estimation problems in signal processing and coding theory
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- id: BarfootFundamental2020
  accessed:
    - year: 2023
      month: 1
      day: 18
  author:
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      given: Timothy D.
  citation-key: BarfootFundamental2020
  DOI: 10.48550/arXiv.2010.08022
  issued:
    - year: 2020
      month: 10
      day: 15
  number: arXiv:2010.08022
  publisher: arXiv
  title: Fundamental Linear Algebra Problem of Gaussian Inference
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- id: BayatiDynamics2011
  accessed:
    - year: 2014
      month: 12
      day: 17
  author:
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      given: Mohsen
    - family: Montanari
      given: Andrea
  citation-key: BayatiDynamics2011
  container-title: IEEE Transactions on Information Theory
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  issue: '2'
  issued:
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      month: 2
  page: 764-785
  title: >-
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    compressed sensing
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- id: BishopPattern2006
  author:
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      given: Christopher M.
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  citation-key: BishopPattern2006
  collection-title: Information science and statistics
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  issued:
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  number-of-pages: '738'
  publisher: Springer
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  title: Pattern recognition and machine learning
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- id: BlakeMarkov2011
  call-number: TA1637 .M337 2011
  citation-key: BlakeMarkov2011
  editor:
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    - family: Kohli
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    - family: Rother
      given: Carsten
  event-place: Cambridge, Mass
  ISBN: 978-0-262-01577-6
  issued:
    - year: 2011
  language: en
  number-of-pages: '472'
  publisher: MIT Press
  publisher-place: Cambridge, Mass
  title: Markov Random Fields for Vision and Image Processing
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- id: BleiVariational2017
  accessed:
    - year: 2017
      month: 8
      day: 22
  author:
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      given: David M.
    - family: Kucukelbir
      given: Alp
    - family: McAuliffe
      given: Jon D.
  citation-key: BleiVariational2017
  container-title: Journal of the American Statistical Association
  container-title-short: Journal of the American Statistical Association
  DOI: 10.1080/01621459.2017.1285773
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    - year: 2017
      month: 4
      day: 3
  page: 859-877
  title: 'Variational Inference: A Review for Statisticians'
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- id: BorgerdingOnsagerCorrected2016
  author:
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      given: Mark
    - family: Schniter
      given: Philip
  citation-key: BorgerdingOnsagerCorrected2016
  container-title: arXiv:1612.01183 [cs, math]
  issued:
    - year: 2016
      month: 12
      day: 4
  title: Onsager-Corrected Deep Networks for Sparse Linear Inverse Problems
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- id: BouchardSplit2009
  accessed:
    - year: 2023
      month: 3
      day: 9
  author:
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      given: Guillaume
    - family: Zoeter
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  citation-key: BouchardSplit2009
  collection-title: ICML '09
  container-title: Proceedings of the 26th Annual International Conference on Machine Learning
  DOI: 10.1145/1553374.1553382
  event-place: New York, NY, USA
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      month: 6
      day: 14
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  publisher: Association for Computing Machinery
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- id: BouttierCircular2024
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      month: 4
      day: 17
  author:
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      given: Vincent
    - family: Jardri
      given: Renaud
    - family: Deneve
      given: Sophie
  citation-key: BouttierCircular2024
  DOI: 10.48550/arXiv.2403.12106
  issued:
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      month: 3
      day: 17
  number: arXiv:2403.12106
  publisher: arXiv
  title: Circular Belief Propagation for Approximate Probabilistic Inference
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- id: BoydDistributed2010
  accessed:
    - year: 2016
      month: 9
      day: 21
  author:
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      given: Stephen
  citation-key: BoydDistributed2010
  DOI: 10.1561/2200000016
  issued:
    - year: 2010
  language: en
  publisher: Now Publishers Inc
  title: >-
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- id: BraunsteinSurvey2005
  accessed:
    - year: 2023
      month: 6
      day: 27
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      given: A.
    - family: Mézard
      given: M.
    - family: Zecchina
      given: R.
  citation-key: BraunsteinSurvey2005
  container-title: Random Structures & Algorithms
  DOI: 10.1002/rsa.20057
  ISSN: 1098-2418
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  issued:
    - year: 2005
  language: en
  page: 201-226
  title: 'Survey propagation: An algorithm for satisfiability'
  type: article-journal
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- id: CevherSparse2009
  accessed:
    - year: 2014
      month: 8
      day: 13
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    - family: Duarte
      given: Marco F.
    - family: Hegde
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    - family: Baraniuk
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  citation-key: CevherSparse2009
  container-title: Advances in Neural Information Processing Systems
  issued:
    - year: 2009
  page: 257–264
  publisher: Curran Associates, Inc.
  title: Sparse Signal Recovery Using Markov Random Fields
  type: paper-conference
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- id: CoxFactor2019
  accessed:
    - year: 2019
      month: 12
      day: 10
  author:
    - family: Cox
      given: Marco
    - family: Laar
      given: Thijs
      non-dropping-particle: van de
    - family: Vries
      given: Bert
      non-dropping-particle: de
  citation-key: CoxFactor2019
  container-title: International Journal of Approximate Reasoning
  container-title-short: International Journal of Approximate Reasoning
  DOI: 10.1016/j.ijar.2018.11.002
  ISSN: 0888613X
  issued:
    - year: 2019
      month: 1
  page: 185-204
  title: >-
    A Factor Graph Approach to Automated Design of Bayesian Signal Processing
    Algorithms
  type: article-journal
  URL: http://arxiv.org/abs/1811.03407
  volume: '104'

- id: DauwelsVariational2007
  accessed:
    - year: 2022
      month: 2
      day: 11
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    - family: Dauwels
      given: Justin
  citation-key: DauwelsVariational2007
  container-title: 2007 IEEE International Symposium on Information Theory
  DOI: 10.1109/ISIT.2007.4557602
  event-place: Nice
  event-title: 2007 IEEE International Symposium on Information Theory
  ISBN: 978-1-4244-1397-3
  issued:
    - year: 2007
      month: 6
  language: en
  page: 2546-2550
  publisher: IEEE
  publisher-place: Nice
  title: On Variational Message Passing on Factor Graphs
  type: paper-conference

- id: DehaeneExpectation2016
  author:
    - family: Dehaene
      given: Guillaume P.
  citation-key: DehaeneExpectation2016
  container-title: arXiv:1612.05053 [stat]
  issued:
    - year: 2016
      month: 12
      day: 15
  title: Expectation Propagation performs a smoothed gradient descent
  type: article-journal
  URL: http://arxiv.org/abs/1612.05053

- id: DonohoHigh2013
  accessed:
    - year: 2014
      month: 11
      day: 25
  author:
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      given: David L.
    - family: Montanari
      given: Andrea
  citation-key: DonohoHigh2013
  container-title: arXiv:1310.7320 [cs, math, stat]
  issued:
    - year: 2013
      month: 10
      day: 28
  title: >-
    High Dimensional Robust M-Estimation: Asymptotic Variance via Approximate
    Message Passing
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  URL: http://arxiv.org/abs/1310.7320

- id: DonohoMessage2009
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      month: 2
      day: 17
  author:
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      given: David L.
    - family: Maleki
      given: Arian
    - family: Montanari
      given: Andrea
  citation-key: DonohoMessage2009
  container-title: 2010 IEEE Information Theory Workshop (ITW)
  DOI: 10.1109/ITWKSPS.2010.5503228
  event-title: 2010 IEEE Information Theory Workshop (ITW)
  issued:
    - year: 2009
      month: 11
      day: 21
  page: 1-5
  title: >-
    Message passing algorithms for compressed sensing: II. analysis and
    validation
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  URL: http://arxiv.org/abs/0911.4222

- id: DonohoMessage2010
  author:
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      given: David L.
    - family: Maleki
      given: A.
    - family: Montanari
      given: A.
  citation-key: DonohoMessage2010
  container-title: 2010 IEEE Information Theory Workshop (ITW)
  DOI: 10.1109/ITWKSPS.2010.5503193
  event-title: 2010 IEEE Information Theory Workshop (ITW)
  issued:
    - year: 2010
      month: 1
  page: 1-5
  title: >-
    Message passing algorithms for compressed sensing: I. motivation and
    construction
  type: paper-conference
  URL: http://arxiv.org/abs/0911.4219

- id: DonohoMessagepassing2009
  accessed:
    - year: 2014
      month: 12
      day: 17
  author:
    - family: Donoho
      given: David L.
    - family: Maleki
      given: Arian
    - family: Montanari
      given: Andrea
  citation-key: DonohoMessagepassing2009
  container-title: Proceedings of the National Academy of Sciences
  container-title-short: PNAS
  DOI: 10.1073/pnas.0909892106
  ISSN: 0027-8424, 1091-6490
  issue: '45'
  issued:
    - year: 2009
      month: 10
      day: 11
  language: en
  page: 18914-18919
  PMID: '19858495'
  title: Message-passing algorithms for compressed sensing
  type: article-journal
  URL: http://www.stanford.edu/~montanar/RESEARCH/FILEPAP/mpacs.pdf
  volume: '106'

- id: EatonChoosing2009
  accessed:
    - year: 2023
      month: 3
      day: 10
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    - family: Eaton
      given: Frederik
    - family: Ghahramani
      given: Zoubin
  citation-key: EatonChoosing2009
  container-title: >-
    Proceedings of the Twelth International Conference on Artificial
    Intelligence and Statistics
  event-title: Artificial Intelligence and Statistics
  ISSN: 1938-7228
  issued:
    - year: 2009
      month: 4
      day: 15
  language: en
  page: 145-152
  publisher: PMLR
  title: Choosing a Variable to Clamp
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- id: ForneyCodes2001
  author:
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      given: G.D.
  citation-key: ForneyCodes2001
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/18.910573
  ISSN: 1557-9654
  issue: '2'
  issued:
    - year: 2001
      month: 2
  page: 520-548
  title: 'Codes on graphs: normal realizations'
  type: article-journal
  volume: '47'

- id: FreyComparison2005
  author:
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      given: B.J.
    - family: Jojic
      given: Nebojsa
  citation-key: FreyComparison2005
  container-title: IEEE Transactions on Pattern Analysis and Machine Intelligence
  DOI: 10.1109/TPAMI.2005.169
  ISSN: 0162-8828
  issue: '9'
  issued:
    - year: 2005
      month: 9
  page: 1392-1416
  title: >-
    A comparison of algorithms for inference and learning in probabilistic
    graphical models
  type: article-journal
  URL: >-
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  volume: '27'

- id: GeierConditioned2014
  accessed:
    - year: 2023
      month: 3
      day: 10
  author:
    - family: Geier
      given: Thomas
    - family: Richter
      given: Felix
    - family: Biundo
      given: Susanne
  citation-key: GeierConditioned2014
  DOI: 10.18725/OPARU-3199
  ISBN: '9781658800464'
  issued:
    - year: 2014
      month: 8
      day: 11
  language: en
  publisher: Universität Ulm
  title: Conditioned Belief Propagation revisited (extended version)
  type: article-journal
  URL: https://oparu.uni-ulm.de/xmlui/handle/123456789/3226

- id: GempEigenGame2020
  accessed:
    - year: 2021
      month: 4
      day: 13
  author:
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      given: Ian
    - family: McWilliams
      given: Brian
    - family: Vernade
      given: Claire
    - family: Graepel
      given: Thore
  citation-key: GempEigenGame2020
  event-title: International Conference on Learning Representations
  issued:
    - year: 2020
      month: 9
      day: 28
  language: en
  title: 'EigenGame: PCA as a Nash Equilibrium'
  type: paper-conference
  URL: https://openreview.net/forum?id=NzTU59SYbNq

- id: GhahramaniPropagation2001
  accessed:
    - year: 2022
      month: 2
      day: 11
  author:
    - family: Ghahramani
      given: Zoubin
    - family: Beal
      given: Matthew
  citation-key: GhahramaniPropagation2001
  container-title: Advances in Neural Information Processing Systems
  issued:
    - year: 2001
  publisher: MIT Press
  title: Propagation Algorithms for Variational Bayesian Learning
  type: paper-conference
  URL: >-
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  volume: '13'

- id: HoffmanStructured2015
  author:
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      given: Matthew D.
    - family: Blei
      given: David M.
  citation-key: HoffmanStructured2015
  container-title: Artificial Intelligence and Statistics
  issued:
    - year: 2015
  language: en
  page: 361–369
  title: Structured stochastic variational inference
  type: paper-conference
  URL: http://arxiv.org/abs/1404.4114

- id: HuangSampling2005
  accessed:
    - year: 2022
      month: 2
      day: 11
  author:
    - family: Huang
      given: Zaijing
    - family: Gelman
      given: Andrew
  citation-key: HuangSampling2005
  container-title: SSRN Electronic Journal
  container-title-short: SSRN Journal
  DOI: 10.2139/ssrn.1010107
  ISSN: 1556-5068
  issued:
    - year: 2005
  language: en
  title: Sampling for Bayesian Computation with Large Datasets
  type: article-journal
  URL: https://papers.ssrn.com/abstract=1010107

- id: JaggiCommunicationEfficient2014
  accessed:
    - year: 2015
      month: 7
      day: 1
  author:
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      given: Martin
    - family: Smith
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    - family: Terhorst
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    - family: Krishnan
      given: Sanjay
    - family: Hofmann
      given: Thomas
    - family: Jordan
      given: Michael I
  citation-key: JaggiCommunicationEfficient2014
  container-title: Advances in Neural Information Processing Systems 27
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    - family: Welling
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    - family: Cortes
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  title: Communication-Efficient Distributed Dual Coordinate Ascent
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- id: JordanGraphical2004
  accessed:
    - year: 2015
      month: 1
      day: 31
  author:
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      given: Michael I.
  citation-key: JordanGraphical2004
  container-title: Statistical Science
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  ISSN: 0883-4237
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      month: 2
      day: 1
  page: 140-155
  title: Graphical Models
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- id: JordanIntroduction1999
  accessed:
    - year: 2014
      month: 12
      day: 11
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    - family: Ghahramani
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    - family: Jaakkola
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    - family: Saul
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  citation-key: JordanIntroduction1999
  container-title: Machine Learning
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  language: en
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  title: An Introduction to Variational Methods for Graphical Models
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- id: JordanLearning1999
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  call-number: QA276.3 .S78 2005
  citation-key: StudenyProbabilistic2005
  collection-title: Information science and statistics
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  ISBN: 978-1-85233-891-6
  issued:
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  number-of-pages: '285'
  publisher: Springer
  publisher-place: London
  title: Probabilistic conditional independence structures
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- id: SuttonLocal2006
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      day: 7
  author:
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    - family: Minka
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  citation-key: SuttonLocal2006
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  publisher: Technical Report TR-2006-121, Microsoft Research
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- id: vandeLaarForneyLab2018
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      non-dropping-particle: de
  citation-key: vandeLaarForneyLab2018
  container-title: Conference on Complex Systems
  issued:
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  language: en
  page: '3'
  title: >-
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- id: VehtariExpectation2019
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  author:
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    - family: Sivula
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  citation-key: VehtariExpectation2019
  container-title: arXiv:1412.4869 [stat]
  issued:
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      month: 11
      day: 30
  title: >-
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  collection-title: Foundations and Trends® in Machine Learning
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  issued:
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  publisher: Now Publishers
  title: Graphical models, exponential families, and variational inference
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- id: WainwrightVariational2005
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  citation-key: WainwrightVariational2005
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  issued:
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  publisher: Taylor & Francis
  title: >-
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- id: WangParallelizing2013
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      day: 17
  language: en
  title: Parallelizing MCMC via Weierstrass Sampler
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- id: WangStein2018
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    - family: Zeng
      given: Zhe
    - family: Liu
      given: Qiang
  citation-key: WangStein2018
  issued:
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      month: 6
      day: 7
  language: en
  number: arXiv:1711.07168
  publisher: arXiv
  title: Stein Variational Message Passing for Continuous Graphical Models
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- id: WeissCorrectness2001
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    - family: Freeman
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  container-title: Neural Computation
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  DOI: 10.1162/089976601750541769
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  language: eng
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  PMID: '11570995'
  title: >-
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- id: WellingStructured2012
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    - family: Teh
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  container-title: Uncertainty in Artificial Intelligence
  DOI: 10.48550/arXiv.1207.1426
  issued:
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      day: 4
  title: 'Structured Region Graphs: Morphing EP into GBP'
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- id: WiegerinckFractional2002
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      month: 2
      day: 29
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    - family: Heskes
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  citation-key: WiegerinckFractional2002
  container-title: Advances in Neural Information Processing Systems
  event-place: Cambridge, MA, USA
  issued:
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  publisher: MIT Press
  publisher-place: Cambridge, MA, USA
  title: Fractional Belief Propagation
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  URL: >-
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      month: 11
      day: 17
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      month: 1
      day: 7
  title: Automated Variational Inference in Probabilistic Programming
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- id: WinnVariational2004
  author:
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      given: John M
  citation-key: WinnVariational2004
  issued:
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  language: en
  publisher: University of Cambridge
  title: Variational Message Passing and its Applications
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- id: WinnVariational2005
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      month: 12
      day: 19
  author:
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    - family: Bishop
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  citation-key: WinnVariational2005
  container-title: Journal of Machine Learning Research
  issued:
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  page: 661–694
  title: Variational message passing
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      month: 2
      day: 7
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    - family: Jordan
      given: Michael I.
    - family: Russell
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  citation-key: XingGeneralized2003
  collection-title: UAI'03
  container-title: >-
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    Intelligence
  event-place: San Francisco, CA, USA
  ISBN: 978-0-12-705664-7
  issued:
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  page: 583–591
  publisher: Morgan Kaufmann Publishers Inc.
  publisher-place: San Francisco, CA, USA
  title: >-
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- id: YedidiaConstructing2005
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  author:
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    - family: Weiss
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  citation-key: YedidiaConstructing2005
  container-title: IEEE Transactions on Information Theory
  container-title-short: IEEE Trans. Inform. Theory
  DOI: 10.1109/TIT.2005.850085
  ISSN: 0018-9448
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  issued:
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      month: 7
  language: en
  page: 2282-2312
  title: >-
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- id: YedidiaGeneralized2000
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      month: 12
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    - family: Freeman
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    - family: Weiss
      given: Yair
  citation-key: YedidiaGeneralized2000
  collection-title: NIPS'00
  container-title: >-
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  event-place: Cambridge, MA, USA
  issued:
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      month: 1
      day: 1
  page: 668–674
  publisher: MIT Press
  publisher-place: Cambridge, MA, USA
  title: Generalized belief propagation
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- id: YedidiaUnderstanding2003
  author:
    - family: Yedidia
      given: J.S.
    - family: Freeman
      given: W.T.
    - family: Weiss
      given: Y.
  citation-key: YedidiaUnderstanding2003
  container-title: Exploring Artificial Intelligence in the New Millennium
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      given: G.
    - family: Nebel
      given: B.
  ISBN: 1-55860-811-7
  issued:
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      month: 1
  page: 239–236
  publisher: Morgan Kaufmann Publishers
  section: '8'
  title: Understanding Belief Propagation and Its Generalizations
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      day: 31
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    - family: West
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  citation-key: YoshidaBayesian2010
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  ISSN: ISSN 1533-7928
  issue: May
  issued:
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  page: 1771-1798
  PMCID: PMC2947451
  PMID: '20890391'
  title: >-
    Bayesian Learning in Sparse Graphical Factor Models via Variational
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  URL: http://www.jmlr.org/papers/v11/yoshida10a.html
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- id: YuilleLoopy2011
  author:
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      given: Alan
  call-number: TA1637 .M337 2011
  citation-key: YuilleLoopy2011
  container-title: Markov random fields for vision and image processing
  editor:
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      given: Andrew
    - family: Kohli
      given: Pushmeet
    - family: Rother
      given: Carsten
  event-place: Cambridge, Mass
  ISBN: 978-0-262-01577-6
  issued:
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  publisher: MIT Press
  publisher-place: Cambridge, Mass
  title: Loopy Belief Propagation, Mean field theory and Bethe approximations
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- id: ZhangMessage2014
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    - year: 2024
      month: 4
      day: 17
  author:
    - family: Zhang
      given: Jian
    - family: Schwing
      given: Alex
    - family: Urtasun
      given: Raquel
  citation-key: ZhangMessage2014
  container-title: Advances in Neural Information Processing Systems
  issued:
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  publisher: Curran Associates, Inc.
  title: >-
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    Potentials
  type: paper-conference
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  volume: '27'

- id: ZhouAugmented2023
  accessed:
    - year: 2024
      month: 3
      day: 5
  author:
    - family: Zhou
      given: Jiankui
    - family: Qiu
      given: Yue
  citation-key: ZhouAugmented2023
  DOI: 10.48550/arXiv.2305.10636
  issued:
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      month: 5
      day: 17
  number: arXiv:2305.10636
  publisher: arXiv
  title: Augmented Message Passing Stein Variational Gradient Descent
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  URL: http://arxiv.org/abs/2305.10636

- id: ZhouMessage2017
  author:
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      given: Hai-Jun
  citation-key: ZhouMessage2017
  issued:
    - year: 2017
  language: en
  page: '15'
  title: Message Passing for Graphical Models
  type: article-journal
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- id: ZhuoMessage2018
  accessed:
    - year: 2022
      month: 11
      day: 2
  author:
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      given: Jingwei
    - family: Liu
      given: Chang
    - family: Shi
      given: Jiaxin
    - family: Zhu
      given: Jun
    - family: Chen
      given: Ning
    - family: Zhang
      given: Bo
  citation-key: ZhuoMessage2018
  container-title: Proceedings of the 35th International Conference on Machine Learning
  event-title: International Conference on Machine Learning
  ISSN: 2640-3498
  issued:
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      month: 7
      day: 3
  language: en
  page: 6018-6027
  publisher: PMLR
  title: Message Passing Stein Variational Gradient Descent
  type: paper-conference
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...
