---
references:
- id: AragamConcave2015
  author:
    - family: Aragam
      given: Bryon
    - family: Zhou
      given: Qing
  citation-key: AragamConcave2015
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2015
  page: 2273-2328
  title: Concave Penalized Estimation of Sparse Gaussian Bayesian Networks
  type: article-journal
  URL: http://jmlr.org/papers/v16/aragam15a.html
  volume: '16'

- id: AragamLearning2015
  author:
    - family: Aragam
      given: Bryon
    - family: Amini
      given: Arash A.
    - family: Zhou
      given: Qing
  citation-key: AragamLearning2015
  container-title: arXiv:1511.08963 [cs, math, stat]
  issued:
    - year: 2015
      month: 11
      day: 28
  title: Learning Directed Acyclic Graphs with Penalized Neighbourhood Regression
  type: article-journal
  URL: http://arxiv.org/abs/1511.08963

- id: AragamLearning2017
  author:
    - family: Aragam
      given: Bryon
    - family: Gu
      given: Jiaying
    - family: Zhou
      given: Qing
  citation-key: AragamLearning2017
  container-title: arXiv:1703.04025 [cs, stat]
  issued:
    - year: 2017
      month: 3
      day: 11
  title: Learning Large-Scale Bayesian Networks with the sparsebn Package
  type: article-journal
  URL: http://arxiv.org/abs/1703.04025

- id: AralDistinguishing2009
  accessed:
    - year: 2014
      month: 4
      day: 29
  author:
    - family: Aral
      given: Sinan
    - family: Muchnik
      given: Lev
    - family: Sundararajan
      given: Arun
  citation-key: AralDistinguishing2009
  container-title: Proceedings of the National Academy of Sciences
  container-title-short: PNAS
  DOI: 10.1073/pnas.0908800106
  ISSN: 0027-8424, 1091-6490
  issue: '51'
  issued:
    - year: 2009
      month: 12
      day: 22
  language: en
  page: 21544-21549
  PMID: '20007780'
  publisher: National Academy of Sciences
  section: Social Sciences
  title: >-
    Distinguishing influence-based contagion from homophily-driven diffusion in
    dynamic networks
  type: article-journal
  volume: '106'

- id: ArnoldConditional1999
  accessed:
    - year: 2016
      month: 8
      day: 16
  author:
    - family: Arnold
      given: Barry C.
    - family: Castillo
      given: Enrique
    - family: Sarabia
      given: Jose M.
  citation-key: ArnoldConditional1999
  issued:
    - year: 1999
  publisher: Springer Science & Business Media
  title: Conditional specification of statistical models
  type: book
  URL: >-
    https://books.google.com.au/books?hl=en&lr=&id=lKeKu_HtMdQC&oi=fnd&pg=PA1&dq=arnold+castillo+sarabia+conditional+specification+of+statistical+models&ots=gxWoVEdsde&sig=p0BJlEeB5yQ052m5YhfQ_A6Kmoo

- id: BareinboimRecovering2014
  accessed:
    - year: 2016
      month: 7
      day: 25
  author:
    - family: Bareinboim
      given: Elias
    - family: Tian
      given: Jin
    - family: Pearl
      given: Judea
  citation-key: BareinboimRecovering2014
  container-title: AAAI
  issued:
    - year: 2014
  page: 2410–2416
  title: Recovering from Selection Bias in Causal and Statistical Inference.
  type: paper-conference
  URL: http://ftp.cs.ucla.edu/pub/stat_ser/r425.pdf

- id: BloniarzLasso2015
  accessed:
    - year: 2016
      month: 7
      day: 25
  author:
    - family: Bloniarz
      given: Adam
    - family: Liu
      given: Hanzhong
    - family: Zhang
      given: Cun-Hui
    - family: Sekhon
      given: Jasjeet
    - family: Yu
      given: Bin
  citation-key: BloniarzLasso2015
  container-title: arXiv:1507.03652 [math, stat]
  issued:
    - year: 2015
      month: 7
      day: 13
  title: Lasso adjustments of treatment effect estimates in randomized experiments
  type: article-journal
  URL: http://arxiv.org/abs/1507.03652

- id: BrodersenInferring2015
  accessed:
    - year: 2016
      month: 3
      day: 5
  author:
    - family: Brodersen
      given: Kay H.
    - family: Gallusser
      given: Fabian
    - family: Koehler
      given: Jim
    - family: Remy
      given: Nicolas
    - family: Scott
      given: Steven L.
  citation-key: BrodersenInferring2015
  container-title: The Annals of Applied Statistics
  container-title-short: Ann. Appl. Stat.
  DOI: 10.1214/14-AOAS788
  ISSN: 1932-6157, 1941-7330
  issue: '1'
  issued:
    - year: 2015
      month: 3
  language: EN
  page: 247-274
  title: Inferring causal impact using Bayesian structural time-series models
  type: article-journal
  URL: http://research.google.com/pubs/pub41854.html
  volume: '9'

- id: BuhlmannControlling2013
  accessed:
    - year: 2014
      month: 5
      day: 26
  author:
    - family: Bühlmann
      given: Peter
    - family: Rütimann
      given: Philipp
    - family: Kalisch
      given: Markus
  citation-key: BuhlmannControlling2013
  container-title: Statistical methods in medical research
  issue: '5'
  issued:
    - year: 2013
  page: 466–492
  title: >-
    Controlling false positive selections in high-dimensional regression and
    causal inference
  type: article-journal
  URL: http://smm.sagepub.com/content/22/5/466.short
  volume: '22'

- id: BuhlmannHighDimensional2014
  accessed:
    - year: 2015
      month: 1
      day: 13
  author:
    - family: Bühlmann
      given: Peter
    - family: Kalisch
      given: Markus
    - family: Meier
      given: Lukas
  citation-key: BuhlmannHighDimensional2014
  container-title: Annual Review of Statistics and Its Application
  DOI: 10.1146/annurev-statistics-022513-115545
  ISSN: 2326-8298, 2326-831X
  issue: '1'
  issued:
    - year: 2014
      month: 1
      day: 3
  language: en
  page: 255-278
  title: High-Dimensional Statistics with a View Toward Applications in Biology
  type: article-journal
  URL: >-
    http://www.annualreviews.org/doi/abs/10.1146/annurev-statistics-022513-115545
  volume: '1'

- id: BuntineGuide1996
  author:
    - family: Buntine
      given: W.L.
  citation-key: BuntineGuide1996
  container-title: IEEE Transactions on Knowledge and Data Engineering
  DOI: 10.1109/69.494161
  ISSN: 1041-4347
  issue: '2'
  issued:
    - year: 1996
      month: 4
  page: 195-210
  title: A guide to the literature on learning probabilistic networks from data
  type: article-journal
  URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.45
  volume: '8'

- id: ChenRegression2012
  author:
    - family: Chen
      given: B
    - family: Pearl
      given: J
  citation-key: ChenRegression2012
  issued:
    - year: 2012
  title: 'Regression and causation: A critical examination of econometric textbooks'
  type: report

- id: ChristakisSpread2007
  accessed:
    - year: 2016
      month: 10
      day: 17
  author:
    - family: Christakis
      given: Nicholas A.
    - family: Fowler
      given: James H.
  citation-key: ChristakisSpread2007
  container-title: New England Journal of Medicine
  DOI: 10.1056/NEJMsa066082
  ISSN: 0028-4793
  issue: '4'
  issued:
    - year: 2007
      month: 7
      day: 26
  page: 370-379
  PMID: '17652652'
  title: The Spread of Obesity in a Large Social Network over 32 Years
  type: article-journal
  URL: >-
    https://obssr-archive.od.nih.gov/issh/2012/files/network_analysis_readings/Christakis_2007.pdf
  volume: '357'

- id: ColomboLearning2012
  accessed:
    - year: 2014
      month: 5
      day: 26
  author:
    - family: Colombo
      given: Diego
    - family: Maathuis
      given: Marloes H.
    - family: Kalisch
      given: Markus
    - family: Richardson
      given: Thomas S.
  citation-key: ColomboLearning2012
  container-title: The Annals of Statistics
  issue: '1'
  issued:
    - year: 2012
  page: 294–321
  title: >-
    Learning high-dimensional directed acyclic graphs with latent and selection
    variables
  type: article-journal
  URL: http://projecteuclid.org/euclid.aos/1333567191
  volume: '40'

- id: DawidConditional1979
  accessed:
    - year: 2017
      month: 8
      day: 2
  author:
    - family: Dawid
      given: A. Philip
  citation-key: DawidConditional1979
  container-title: Journal of the Royal Statistical Society. Series B (Methodological)
  ISSN: 0035-9246
  issue: '1'
  issued:
    - year: 1979
  page: 1–31
  title: Conditional independence in statistical theory
  type: article-journal
  URL: >-
    http://people.csail.mit.edu/tdanford/discovering-causal-graphs-papers/dawid-79.pdf
  volume: '41'

- id: DawidConditional1980
  author:
    - family: Dawid
      given: A. Philip
  citation-key: DawidConditional1980
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1176345011
  ISSN: 0090-5364, 2168-8966
  issue: '3'
  issued:
    - year: 1980
      month: 5
  language: EN
  page: 598-617
  title: Conditional Independence for Statistical Operations
  type: article-journal
  volume: '8'

- id: DawidSeparoids2001
  author:
    - family: Dawid
      given: A. P.
  citation-key: DawidSeparoids2001
  container-title: Annals of Mathematics and Artificial Intelligence
  container-title-short: Annals of Mathematics and Artificial Intelligence
  DOI: 10.1023/A:1016734104787
  ISSN: 1012-2443, 1573-7470
  issue: 1-4
  issued:
    - year: 2001
      month: 8
      day: 1
  language: en
  page: 335-372
  title: >-
    Separoids: A Mathematical Framework for Conditional Independence and
    Irrelevance
  type: article-journal
  volume: '32'

- id: DeLunaCovariate2011
  accessed:
    - year: 2014
      month: 8
      day: 16
  author:
    - family: De Luna
      given: Xavier
    - family: Waernbaum
      given: Ingeborg
    - family: Richardson
      given: Thomas S.
  citation-key: DeLunaCovariate2011
  container-title: Biometrika
  container-title-short: Biometrika
  DOI: 10.1093/biomet/asr041
  ISSN: 0006-3444, 1464-3510
  issued:
    - year: 2011
      month: 10
      day: 5
  language: en
  page: asr041
  title: >-
    Covariate selection for the nonparametric estimation of an average treatment
    effect
  type: article-journal

- id: EdwardsContextspecific2015
  accessed:
    - year: 2016
      month: 6
      day: 26
  author:
    - family: Edwards
      given: David
    - family: Ankinakatte
      given: Smitha
  citation-key: EdwardsContextspecific2015
  container-title: Statistical Modelling
  container-title-short: Statistical Modelling
  DOI: 10.1177/1471082X14551248
  ISSN: 1471-082X, 1477-0342
  issue: '4'
  issued:
    - year: 2015
      month: 8
      day: 1
  language: en
  page: 301-325
  title: Context-specific graphical models for discrete longitudinal data
  type: article-journal
  URL: http://arxiv.org/abs/1311.5066
  volume: '15'

- id: FixxGames1977
  author:
    - family: Fixx
      given: James F
  citation-key: FixxGames1977
  event-place: London
  ISBN: 978-0-584-10162-1
  issued:
    - year: 1977
  language: English
  publisher: Muller
  publisher-place: London
  title: Games for the superintelligent
  type: book

- id: FreyComparison2005
  author:
    - family: Frey
      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: >-
    http://www.cs.ubc.ca/~murphyk/Teaching/Papers/freyJojicTutorial_pami_sep05.pdf
  volume: '27'

- id: GuAdaptive2014
  author:
    - family: Gu
      given: Jiaying
    - family: Fu
      given: Fei
    - family: Zhou
      given: Qing
  citation-key: GuAdaptive2014
  container-title: arXiv:1403.2310 [stat]
  issued:
    - year: 2014
      month: 3
      day: 10
  title: >-
    Adaptive Penalized Estimation of Directed Acyclic Graphs From Categorical
    Data
  type: article-journal
  URL: http://arxiv.org/abs/1403.2310

- id: GuoCausal2022
  accessed:
    - year: 2022
      month: 7
      day: 26
  author:
    - family: Guo
      given: Siyuan
    - family: Tóth
      given: Viktor
    - family: Schölkopf
      given: Bernhard
    - family: Huszár
      given: Ferenc
  citation-key: GuoCausal2022
  DOI: 10.48550/arXiv.2203.15756
  issued:
    - year: 2022
      month: 3
      day: 29
  number: arXiv:2203.15756
  publisher: arXiv
  title: >-
    Causal de Finetti: On the Identification of Invariant Causal Structure in
    Exchangeable Data
  type: article
  URL: http://arxiv.org/abs/2203.15756

- id: JordanGraphical2002
  accessed:
    - year: 2014
      month: 12
      day: 11
  author:
    - family: Jordan
      given: Michael I.
    - family: Weiss
      given: Yair
  citation-key: JordanGraphical2002
  container-title: The handbook of brain theory and neural networks
  issued:
    - year: 2002
  page: 490–496
  title: 'Graphical models: Probabilistic inference'
  type: article-journal
  URL: http://www.cs.iastate.edu/~honavar/jordan2.pdf

- id: JordanIntroduction1999
  accessed:
    - year: 2014
      month: 12
      day: 11
  author:
    - family: Jordan
      given: Michael I.
    - family: Ghahramani
      given: Zoubin
    - family: Jaakkola
      given: Tommi S.
    - family: Saul
      given: Lawrence K.
  citation-key: JordanIntroduction1999
  container-title: Machine Learning
  container-title-short: Machine Learning
  DOI: 10.1007/978-94-011-5014-9_5
  ISSN: 0885-6125, 1573-0565
  issue: '2'
  issued:
    - year: 1999
      month: 11
      day: 1
  language: en
  page: 183-233
  title: An Introduction to Variational Methods for Graphical Models
  type: article-journal
  URL: https://www2.eecs.berkeley.edu/Pubs/TechRpts/1998/CSD-98-980.pdf
  volume: '37'

- id: JordanLearning1999
  author:
    - family: Jordan
      given: Michael Irwin
  citation-key: JordanLearning1999
  event-place: Cambridge, Mass.
  ISBN: 0-262-60032-3
  issued:
    - year: 1999
  publisher: MIT Press
  publisher-place: Cambridge, Mass.
  title: Learning in graphical models
  type: book

- id: JordanProbabilistic2002
  accessed:
    - year: 2014
      month: 12
      day: 11
  author:
    - family: Jordan
      given: Michael I.
    - family: Weiss
      given: Yair
  citation-key: JordanProbabilistic2002
  container-title: Handbook of neural networks and brain theory
  issued:
    - year: 2002
  title: Probabilistic inference in graphical models
  type: article-journal
  URL: http://mlg.eng.cam.ac.uk/zoubin/course03/hbtnn2e-I.pdf

- id: KalischEstimating2007
  accessed:
    - year: 2014
      month: 7
      day: 22
  author:
    - family: Kalisch
      given: Markus
    - family: Bühlmann
      given: Peter
  citation-key: KalischEstimating2007
  container-title: Journal of Machine Learning Research
  ISSN: 1532-4435
  issued:
    - year: 2007
      month: 5
  page: 613–636
  title: Estimating High-Dimensional Directed Acyclic Graphs with the PC-Algorithm
  type: article-journal
  URL: http://jmlr.org/papers/v8/kalisch07a.html
  volume: '8'

- id: KollerProbabilistic2009
  author:
    - family: Koller
      given: Daphne
    - family: Friedman
      given: Nir
  citation-key: KollerProbabilistic2009
  event-place: Cambridge, MA
  ISBN: 0-262-01319-3
  issued:
    - year: 2009
  publisher: MIT Press
  publisher-place: Cambridge, MA
  title: 'Probabilistic graphical models : principles and techniques'
  type: book

- id: KrauseOptimal2009
  author:
    - family: Krause
      given: Andreas
    - family: Guestrin
      given: Carlos
  citation-key: KrauseOptimal2009
  container-title: J. Artif. Int. Res.
  issue: '1'
  issued:
    - year: 2009
  page: 557-591
  title: Optimal value of information in graphical models
  type: article-journal
  volume: '35'

- id: LauritzenGraphical1996
  author:
    - family: Lauritzen
      given: Steffen L.
  citation-key: LauritzenGraphical1996
  collection-title: Oxford Statistical Science Series
  ISBN: 978-0-19-159122-8
  issued:
    - year: 1996
      month: 5
      day: 2
  language: en
  number-of-pages: '314'
  publisher: Clarendon Press
  title: Graphical Models
  type: book

- id: LauritzenLocal1988
  accessed:
    - year: 2016
      month: 7
      day: 29
  author:
    - family: Lauritzen
      given: S. L.
    - family: Spiegelhalter
      given: D. J.
  citation-key: LauritzenLocal1988
  container-title: Journal of the Royal Statistical Society. Series B (Methodological)
  container-title-short: Journal of the Royal Statistical Society. Series B (Methodological)
  ISSN: 0035-9246
  issue: '2'
  issued:
    - year: 1988
  page: 157-224
  title: >-
    Local Computations with Probabilities on Graphical Structures and Their
    Application to Expert Systems
  type: article-journal
  URL: http://intersci.ss.uci.edu/wiki/pdf/Lauritzen1988.pdf
  volume: '50'

- id: MaathuisGeneralized2013
  accessed:
    - year: 2014
      month: 5
      day: 26
  author:
    - family: Maathuis
      given: Marloes H.
    - family: Colombo
      given: Diego
  citation-key: MaathuisGeneralized2013
  container-title: arXiv preprint arXiv:1307.5636
  issued:
    - year: 2013
  title: A generalized backdoor criterion
  type: article-journal
  URL: http://arxiv.org/abs/1307.5636

- id: MalioutovWalkSums2006
  accessed:
    - year: 2014
      month: 12
      day: 19
  author:
    - family: Malioutov
      given: Dmitry M.
    - family: Johnson
      given: Jason K.
    - family: Willsky
      given: Alan S.
  citation-key: MalioutovWalkSums2006
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2006
      month: 10
  page: 2031--2064
  title: Walk-Sums and Belief Propagation in Gaussian Graphical Models
  type: article-journal
  URL: http://jmlr.csail.mit.edu/papers/v7/malioutov06a.html
  volume: '7'

- id: MarbachRevealing2010
  accessed:
    - year: 2014
      month: 5
      day: 26
  author:
    - family: Marbach
      given: Daniel
    - family: Prill
      given: Robert J.
    - family: Schaffter
      given: Thomas
    - family: Mattiussi
      given: Claudio
    - family: Floreano
      given: Dario
    - family: Stolovitzky
      given: Gustavo
  citation-key: MarbachRevealing2010
  container-title: Proceedings of the National Academy of Sciences
  container-title-short: PNAS
  DOI: 10.1073/pnas.0913357107
  ISSN: 0027-8424, 1091-6490
  issue: '14'
  issued:
    - year: 2010
  language: en
  page: 6286–6291
  PMID: '20308593'
  title: Revealing strengths and weaknesses of methods for gene network inference
  type: article-journal
  volume: '107'

- id: MihalkovaBottomup2007
  accessed:
    - year: 2015
      month: 2
      day: 27
  author:
    - family: Mihalkova
      given: Lilyana
    - family: Mooney
      given: Raymond J.
  citation-key: MihalkovaBottomup2007
  container-title: Proceedings of the 24th international conference on Machine learning
  issued:
    - year: 2007
  page: 625–632
  publisher: ACM
  title: Bottom-up learning of Markov logic network structure
  type: paper-conference
  URL: http://dl.acm.org/citation.cfm?id=1273575

- id: MontanariLecture2011
  accessed:
    - year: 2015
      month: 1
      day: 13
  author:
    - family: Montanari
      given: Andrea
  citation-key: MontanariLecture2011
  issued:
    - year: 2011
  title: Lecture Notes for Stat 375 Inference in Graphical Models
  type: manuscript
  URL: >-
    http://www.stanford.edu/~montanar/TEACHING/Stat375/handouts/notes_stat375_1.pdf

- id: MurphyMachine2012
  author:
    - family: Murphy
      given: Kevin P.
  call-number: Q325.5 .M87 2012
  citation-key: MurphyMachine2012
  collection-title: Adaptive computation and machine learning series
  edition: 1 edition
  event-place: Cambridge, MA
  ISBN: 978-0-262-01802-9
  issued:
    - year: 2012
  language: English
  number-of-pages: '1067'
  publisher: MIT Press
  publisher-place: Cambridge, MA
  title: 'Machine learning: a probabilistic perspective'
  type: book

- id: NeapolitanLearning2003
  archive: Calibre
  author:
    - family: Neapolitan
      given: Richard E.
  citation-key: NeapolitanLearning2003
  ISBN: 978-0-13-012534-7
  issued:
    - year: 2003
      month: 4
      day: 6
  language: eng
  publisher: Prentice Hal, Paperback
  title: Learning Bayesian Networks
  type: book
  URL: >-
    https://analyticsconsultores.com.mx/wp-content/uploads/2019/04/Learning-Bayesian-Networks-R.E.-Neapolitan-Northeastern-Illinois-University.pdf
  volume: '38'

- id: PearlConditional1989
  accessed:
    - year: 2017
      month: 8
      day: 2
  author:
    - family: Pearl
      given: Judea
    - family: Geiger
      given: Dan
    - family: Verma
      given: Thomas
  citation-key: PearlConditional1989
  container-title: Kybernetika
  issue: '7'
  issued:
    - year: 1989
  page: 33–44
  title: Conditional independence and its representations
  type: article-journal
  URL: >-
    http://dml.cz/bitstream/handle/10338.dmlcz/125413/Kybernetika_25-1989-7_6.pdf
  volume: '25'

- id: PearlFusion1986
  accessed:
    - year: 2016
      month: 9
      day: 23
  author:
    - family: Pearl
      given: Judea
  citation-key: PearlFusion1986
  container-title: Artificial Intelligence
  container-title-short: Artificial Intelligence
  DOI: 10.1016/0004-3702(86)90072-X
  ISSN: 0004-3702
  issue: '3'
  issued:
    - year: 1986
      month: 9
      day: 1
  page: 241-288
  title: Fusion, propagation, and structuring in belief networks
  type: article-journal
  URL: http://cs.ucla.edu/pub/stat_ser/r42-reprint.pdf
  volume: '29'

- id: PearlProbabilistic2008
  author:
    - family: Pearl
      given: Judea
  citation-key: PearlProbabilistic2008
  collection-title: The Morgan Kaufmann series in representation and reasoning
  edition: Rev. 2. print., 12. [Dr.]
  event-place: San Francisco, Calif
  ISBN: 978-1-55860-479-7
  issued:
    - year: 2008
  language: eng
  number-of-pages: '552'
  publisher: Kaufmann
  publisher-place: San Francisco, Calif
  title: >-
    Probabilistic reasoning in intelligent systems: networks of plausible
    inference
  type: book

- id: PearlReverend1982
  author:
    - family: Pearl
      given: Judea
  citation-key: PearlReverend1982
  collection-title: AAAI'82
  container-title: Proceedings of the Second AAAI Conference on Artificial Intelligence
  event-place: Pittsburgh, Pennsylvania
  issued:
    - year: 1982
  page: 133–136
  publisher: AAAI Press
  publisher-place: Pittsburgh, Pennsylvania
  title: 'Reverend Bayes on inference engines: a distributed hierarchical approach'
  type: paper-conference
  URL: http://www.aaai.org/Papers/AAAI/1982/AAAI82-032.pdf

- id: PeredaNonlinear2005
  author:
    - family: Pereda
      given: E
    - family: Quiroga
      given: R Q
    - family: Bhattacharya
      given: J
  citation-key: PeredaNonlinear2005
  container-title: Progress in neurobiology
  issue: 1-2
  issued:
    - year: 2005
  page: 1-37
  title: Nonlinear multivariate analysis of neurophysiological signals
  type: article-journal
  volume: '77'

- id: PollardHammersleyClifford2004
  author:
    - family: Pollard
      given: Dave
  citation-key: PollardHammersleyClifford2004
  issued:
    - year: 2004
      month: 2
      day: 15
  title: Hammersley-Clifford theorem for Markov random fields
  type: report

- id: RabbatNetwork2008
  accessed:
    - year: 2014
      month: 5
      day: 24
  author:
    - family: Rabbat
      given: Michael G.
    - family: Figueiredo
      given: MÁrio A. T.
    - family: Nowak
      given: Robert D.
  citation-key: RabbatNetwork2008
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.2008.926315
  ISSN: 0018-9448
  issue: '9'
  issued:
    - year: 2008
      month: 9
  page: 4053-4068
  title: Network Inference from Co-Occurrences
  type: article-journal
  URL: http://arxiv.org/abs/cs/0605100
  volume: '54'

- id: RanParameter2017
  accessed:
    - year: 2020
      month: 7
      day: 31
  author:
    - family: Ran
      given: Zhi-Yong
    - family: Hu
      given: Bao-Gang
  citation-key: RanParameter2017
  container-title: Neural Computation
  DOI: 10.1162/NECO_a_00947
  ISSN: 0899-7667
  issue: '5'
  issued:
    - year: 2017
      month: 2
      day: 9
  page: 1151-1203
  PMID: '28181880'
  publisher: MIT Press
  title: 'Parameter Identifiability in Statistical Machine Learning: A Review'
  type: article-journal
  volume: '29'

- id: ScholkopfBernhardCausal2012
  accessed:
    - year: 2020
      month: 9
      day: 14
  author:
    - family: Schölkopf
      given: Bernhard
    - family: Janzing
      given: Dominik
    - family: Peters
      given: Jonas
    - family: Sgouritsa
      given: Eleni
    - family: Zhang
      given: Kun
    - family: Mooij
      given: Joris
  citation-key: ScholkopfBernhardCausal2012
  container-title: ICML 2012
  issued:
    - year: 2012
      month: 6
      day: 27
  title: On Causal and Anticausal Learning
  type: paper-conference
  URL: http://arxiv.org/abs/1206.6471

- id: ShachterBayesball1998
  accessed:
    - year: 2017
      month: 8
      day: 9
  author:
    - family: Shachter
      given: Ross D.
  citation-key: ShachterBayesball1998
  collection-title: UAI'98
  container-title: >-
    Proceedings of the Fourteenth Conference on Uncertainty in Artificial
    Intelligence
  event-place: San Francisco, CA, USA
  ISBN: 978-1-55860-555-8
  issued:
    - year: 1998
  page: 480–487
  publisher: Morgan Kaufmann Publishers Inc.
  publisher-place: San Francisco, CA, USA
  title: >-
    Bayes-ball: Rational Pastime (for Determining Irrelevance and Requisite
    Information in Belief Networks and Influence Diagrams)
  type: paper-conference
  URL: https://arxiv.org/abs/1301.7412

- id: ShaliziControlling2016
  accessed:
    - year: 2016
      month: 7
      day: 25
  author:
    - family: Shalizi
      given: Cosma Rohilla
    - family: McFowland III
      given: Edward
  citation-key: ShaliziControlling2016
  container-title: arXiv:1607.06565 [physics, stat]
  issued:
    - year: 2016
      month: 7
      day: 22
  title: >-
    Controlling for Latent Homophily in Social Networks through Inferring Latent
    Locations
  type: article-journal
  URL: http://arxiv.org/abs/1607.06565

- id: SmithDependency2008
  accessed:
    - year: 2014
      month: 12
      day: 19
  author:
    - family: Smith
      given: David A.
    - family: Eisner
      given: Jason
  citation-key: SmithDependency2008
  container-title: >-
    Proceedings of the Conference on Empirical Methods in Natural Language
    Processing
  issued:
    - year: 2008
  page: 145–156
  publisher: Association for Computational Linguistics
  title: Dependency parsing by belief propagation
  type: paper-conference
  URL: http://dl.acm.org/citation.cfm?id=1613737

- id: SpirtesCausation2001
  author:
    - family: Spirtes
      given: Peter
    - family: Glymour
      given: Clark
    - family: Scheines
      given: Richard
  citation-key: SpirtesCausation2001
  collection-title: Adaptive Computation and Machine Learning
  edition: Second Edition
  ISBN: 0-262-19440-6
  issued:
    - year: 2001
  publisher: The MIT Press
  title: Causation, Prediction, and Search
  type: book
  URL: >-
    https://www.cs.cmu.edu/afs/cs.cmu.edu/project/learn-43/lib/photoz/.g/scottd/fullbook.pdf

- id: StudenyMultiinformation1998
  author:
    - family: Studený
      given: Milan
    - family: Vejnarová
      given: Jiřina
  citation-key: StudenyMultiinformation1998
  container-title: Learning in graphical models
  contributor:
    - family: Jordan
      given: Michael Irwin
  event-place: Cambridge, Mass.
  ISBN: 0-262-60032-3
  issued:
    - year: 1998
  page: 261-297
  publisher: MIT Press
  publisher-place: Cambridge, Mass.
  title: On multiinformation function as a tool for measuring stochastic dependence
  type: chapter

- id: SuDetecting2012
  author:
    - family: Su
      given: Ri-Qi
    - family: Wang
      given: Wen-Xu
    - family: Lai
      given: Ying-Cheng
  citation-key: SuDetecting2012
  container-title: Phys. Rev. E
  DOI: 10.1103/PhysRevE.85.065201
  issue: '6'
  issued:
    - year: 2012
  page: '065201'
  title: Detecting hidden nodes in complex networks from time series
  type: article-journal
  volume: '85'

- id: TextorLearning2015
  accessed:
    - year: 2015
      month: 8
      day: 10
  author:
    - family: Textor
      given: Johannes
    - family: Idelberger
      given: Alexander
    - family: Liśkiewicz
      given: Maciej
  citation-key: TextorLearning2015
  container-title: arXiv:1508.00280 [cs]
  issued:
    - year: 2015
      month: 8
      day: 2
  title: Learning from Pairwise Marginal Independencies
  type: article-journal
  URL: http://arxiv.org/abs/1508.00280

- id: VisweswaranCounting2014
  accessed:
    - year: 2015
      month: 1
      day: 21
  author:
    - family: Visweswaran
      given: Shyam
    - family: Cooper
      given: Gregory F.
  citation-key: VisweswaranCounting2014
  container-title: arXiv:1407.2483 [cs, stat]
  issued:
    - year: 2014
      month: 7
      day: 9
  title: Counting Markov Blanket Structures
  type: article-journal
  URL: http://arxiv.org/abs/1407.2483

- id: WainwrightGraphical2008
  accessed:
    - year: 2014
      month: 8
      day: 16
  author:
    - family: Wainwright
      given: Martin J.
    - family: Jordan
      given: Michael I.
  citation-key: WainwrightGraphical2008
  collection-title: Foundations and Trends® in Machine Learning
  DOI: 10.1561/2200000001
  issued:
    - year: 2008
  publisher: Now Publishers
  title: Graphical models, exponential families, and variational inference
  type: book
  URL: http://www.cs.berkeley.edu/~jordan/papers/wainwright-jordan-fnt.pdf
  volume: '1'

- id: WeissCorrectness2000
  accessed:
    - year: 2015
      month: 2
      day: 1
  author:
    - family: Weiss
      given: Yair
  citation-key: WeissCorrectness2000
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/089976600300015880
  ISSN: 0899-7667
  issue: '1'
  issued:
    - year: 2000
      month: 1
      day: 1
  page: 1-41
  title: Correctness of Local Probability Propagation in Graphical Models with Loops
  type: article-journal
  URL: >-
    http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.53.6839&rep=rep1&type=pdf
  volume: '12'

- id: WeissCorrectness2001
  accessed:
    - year: 2015
      month: 2
      day: 1
  author:
    - family: Weiss
      given: Yair
    - family: Freeman
      given: William T.
  citation-key: WeissCorrectness2001
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/089976601750541769
  ISSN: 0899-7667
  issue: '10'
  issued:
    - year: 2001
      month: 10
      day: 1
  language: eng
  page: 2173-2200
  PMID: '11570995'
  title: >-
    Correctness of Belief Propagation in Gaussian Graphical Models of Arbitrary
    Topology
  type: article-journal
  URL: http://www.dtic.mil/get-tr-doc/pdf?AD=ADA603879
  volume: '13'

- id: WinnVariational2005
  accessed:
    - year: 2014
      month: 12
      day: 19
  author:
    - family: Winn
      given: John M.
    - family: Bishop
      given: Christopher M.
  citation-key: WinnVariational2005
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2005
  page: 661–694
  title: Variational message passing
  type: paper-conference
  URL: http://johnwinn.org/Publications/papers/VMP2005.pdf

- id: WrightMethod1934
  accessed:
    - year: 2014
      month: 8
      day: 10
  author:
    - family: Wright
      given: Sewall
  citation-key: WrightMethod1934
  container-title: The Annals of Mathematical Statistics
  container-title-short: Ann. Math. Statist.
  DOI: 10.1214/aoms/1177732676
  ISSN: 0003-4851, 2168-8990
  issue: '3'
  issued:
    - year: 1934
      month: 9
  language: EN
  page: 161-215
  title: The Method of Path Coefficients
  type: article-journal
  volume: '5'

- 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
  editor:
    - family: Lakemeyer
      given: G.
    - family: Nebel
      given: B.
  ISBN: 1-55860-811-7
  issued:
    - year: 2003
      month: 1
  page: 239–236
  publisher: Morgan Kaufmann Publishers
  section: '8'
  title: Understanding Belief Propagation and Its Generalizations
  type: chapter
  URL: http://www.merl.com/publications/TR2001-22

- id: ZhangKernelbased2012
  accessed:
    - year: 2016
      month: 4
      day: 20
  author:
    - family: Zhang
      given: Kun
    - family: Peters
      given: Jonas
    - family: Janzing
      given: Dominik
    - family: Schölkopf
      given: Bernhard
  citation-key: ZhangKernelbased2012
  container-title: arXiv:1202.3775 [cs, stat]
  issued:
    - year: 2012
      month: 2
      day: 14
  title: >-
    Kernel-based Conditional Independence Test and Application in Causal
    Discovery
  type: article-journal
  URL: http://arxiv.org/abs/1202.3775

- id: ZhouAugmentable2017
  author:
    - family: Zhou
      given: Mingyuan
    - family: Cong
      given: Yulai
    - family: Chen
      given: Bo
  citation-key: ZhouAugmentable2017
  issued:
    - year: 2017
  language: en
  page: '44'
  title: Augmentable Gamma Belief Networks
  type: article-journal
...
