Graphical representation of independence structures

Keywords

Indifference graph, Chordal graph, Modular decomposition, Directed acyclic graph, Combinatorics

References

• The dimensionality of mixed ancestral graphsPeter Spirtes, Thomas Richardson, Christopher Meek — 1997
• Conditional Independence in Statistical TheoryA. P. Dawid — 1979
• The igraph software package for complex network researchGábor Csárdi, Tamás Nepusz — 2006
• Marginalizing and conditioning in graphical modelsJan T. A. Koster — 2002
• On the Markov equivalence of maximal ancestral graphsHui Zhao — 2005
• Linear Dependencies Represented by Chain GraphsD. R. Cox, Nanny Wermuth — 1993
• Markov properties for mixed graphsKayvan Sadeghi, Steffen L. Lauritzen — 2011
• Characterizing Markov equivalence classes for AMP chain graph modelsSteen A. Andersson, Michael D. Perlman — 2006
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• Elementary Principles in Statistical MechanicsGeorge H. Bryan — 1902
• Stable mixed graphsKayvan Sadeghi — 2011
• Triangular systems for symmetric binary variablesNanny Wermuth, Giovanni M. Marchetti, D. R. Cox — 2009
• Independence properties of directed markov fieldsSteffen L. Lauritzen, A. P. Dawid, Bayley Larsen — 1990
• Decomposable Models: A New Look at Interdependence and Dependence Structures in Psychological Research.Volker Hodapp, Nanny Wermuth — 1983
• Partial inversion for linear systems and partial closure of independence graphsNanny Wermuth, Michael Wiedenbeck, D. R. Cox — 2006
• Graphical Models for Associations between Variables, some of which are Qualitative and some QuantitativeSteffen L. Lauritzen, Nanny Wermuth — 1989
• Discrete chain graph modelsMathias Drton — 2009
• A THEOREM ABOUT RANDOM FIELDSGeoffrey Grimmett — 1973
• The Method of Path CoefficientsSewall Wright — 1934
• PROBABILITY DISTRIBUTIONS WITH SUMMARY GRAPH STRUCTURENanny Wermuth — 2010

Cited by

• Markov properties for mixed graphsKayvan Sadeghi, Steffen L. Lauritzen — 2011
• Stable mixed graphsKayvan Sadeghi — 2011
• Probabilistic Graphical Model Structure Learning: Application to Multi-Label Classification. (Apprentissage de Structure de Modèles Graphiques Probabilistes: Application à la Classification Multi-Label)Maxime Gasse — 2017
• Constraint-based causal discovery from multiple interventions over overlapping variable setsSofia Triantafillou, Ioannis Tsamardinos — 2014
• Interventional Markov Equivalence for Mixed Graph ModelsLiam Solus — 2019
• Markov properties for mixed graphsS Teffen L Auritzen — 2014
• Stable mixed graphsKayvan Sadeghi — 2013

Related papers

• Ancestral graph Markov modelsThomas S. Richardson, Peter Spirtes — 2002
• Probability distributions with summary graph structureNanny Wermuth — 2008
• Probabilistic Reasoning in Intelligent Systems: Networks of Plausible InferenceJudea Pearl — 1988
• Recursive causal modelsHarri Kiiveri, Terence P. Speed, John B. Carlin — 1984
• Markov Properties for Acyclic Directed Mixed GraphsThomas S. Richardson — 2003
• Linear Dependencies Represented by Chain GraphsD. R. Cox, Nanny Wermuth — 1993
• Marginalizing and conditioning in graphical modelsJan T. A. Koster — 2002
• Graphical representation of Salter determinantsWłodzisław Duch — 1985
• Graphical representation of the state of orientation of polymer systemsShunji Nomura, Nobiru Nakamura, Hiromichi Kawai — 1971