%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Taylor Short at 2017-02-20 13:21:13 -0500 %% Saved with string encoding Unicode (UTF-8) @article{WangRauhMassam16:Approximating_faces, Author = {Nanwei Wang and Johannes Rauh and H{\'e}l{\`e}ne Massam}, Journal = {\arxiv{1603.04843}}, Title = {Approximating faces of marginal polytopes in discrete hierarchical models}, Year = {2016}} @article{cha13b, Author = {Chatterjee, Sourav and Varadhan, S. R. S.}, Journal = {Eur. J. Comb.}, Number = {7}, Pages = {1000--1017}, Title = {The large deviation principle for the {E}rd{\H{o}}s-{R}{\'{e}}nyi random graph}, Volume = {32}, Year = {2011}} @article{pat76, Author = {A.N. Patrinos and S.L. Hakimi}, Date-Modified = {2017-02-17 18:36:12 +0000}, Journal = {Discrete Math.}, Number = {4}, Pages = {358-437}, Title = {Relations between graphs and integer-pair sequences}, Volume = {15}, Year = {1976}} @inproceedings{Ali04, Address = {Toronto, Canada}, Author = {Ali, R. A. and T. Richardson}, Booktitle = {Proceedings of the Joint Statistical Meeting of the {A}merican Statistical Association}, Title = {Searching across {M}arkov equivalence classes of maximal ancestral graphs}, Year = {2004}} @inproceedings{ali05, Address = {Arlington, Virginia}, Author = {R Ayesha Ali and Thomas Richardson and Peter Spirtes and Jiji Zhang}, Booktitle = {Proceedings of the Proceedings of the Twenty-First Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-05)}, Pages = {10-17}, Publisher = {AUAI Press}, Title = {Towards Characterizing {M}arkov Equivalence Classes for Directed Acyclic Graphs with Latent Variables}, Year = {2005}} @book{cox96, Address = {London, United Kingdom}, Author = {Cox, D.R. and Wermuth, N.}, Publisher = {Chapman \& Hall}, Title = {Multivariate Dependencies : models, analysis and interpretation}, Year = 1996} @article{daw79, Author = {Dawid, A.P.}, Journal = {J. Royal Statistical Society Series B}, Number = {1}, Pages = {1-31}, Title = {Conditional independence in statistical theory (with discussion)}, Volume = {41}, Year = {1979}} @article{gei90, Author = {Geiger, D. and Verma, T. S. and Pearl, J.}, Journal = {Networks}, Pages = {507-534}, Title = {Identifying independence in {B}ayesian networks}, Volume = {20}, Year = {1990}} @article{kos02, Author = {Koster, J. T. A.}, Journal = {Bernoulli}, Number = {6}, Pages = {817-840}, Title = {Marginalizing and conditioning in graphical models}, Volume = {8}, Year = {2002}} @book{lau96, Address = {Oxford, United Kingdom}, Author = {Lauritzen, S. L.}, Publisher = {Clarendon Press}, Title = {Graphical Models}, Year = 1996} @article{mar09, Author = {Marchetti, G. M. and Wermuth, N.}, Journal = {Annals of Statistics}, Number = {2}, Pages = {961-978}, Title = {Matrix representation and independencies in directed acyclic graphs}, Volume = {37}, Year = {2009}} @article{ric02, Author = {Richardson, T. S. and Spirtes, P.}, Journal = {Annals of Statistics}, Number = {4}, Pages = {962-1030}, Title = {Ancestral graph {M}arkov models}, Volume = {30}, Year = {2002}} @book{ric07, Address = {Belmont, CA, USA}, Author = {Rice, J. A.}, Publisher = {Thomson Brooks/Cole}, Title = {Mathematical Statistics and Data Analysis}, Year = 2007} @article{wer08, Author = {Wermuth, N.}, Journal = {Bernoulli}, Title = {Probability distributions with summary graph structure}, Volume = {to appear}, Year = {2011}} @article{werc08, Author = {Wermuth, N. and Cox, D. R.}, Journal = {Biometrika}, Pages = {17-33}, Title = {Distortion of effects caused by indirect confounding}, Volume = {95}, Year = {2008}} @techreport{wer94, Address = {Germany}, Author = {Wermuth, N. and Cox, D. R. and Pearl, J.}, Institution = {Univ. Mainz}, Number = {94(1)}, Title = {Explanation for multivariate structures derived from univariate recursive regressions}, Year = {1994}} @book{wes01, Address = {Upper Saddle River, NJ, USA}, Author = {West, D. B.}, Publisher = {Prentice Hall}, Title = {Introduction to Graph Theory}, Year = 2001} @article{zha04, Author = {Zhao, H. and Zheng, Z. and Liu, B.}, Journal = {Science in China Ser. A, Mathematics}, Pages = {548-562}, Title = {On the {M}arkov equivalence of maximal ancestral graphs}, Volume = {48}, Year = {2004}} @book{pea88, Address = {San Mateo, CA, USA}, Author = {Pearl, J.}, Publisher = {Morgan Kaufmann Publishers}, Title = {Probabilistic Reasoning in Intelligent Systems : networks of plausible inference}, Year = 1988} @techreport{csa09, Address = {http://cneurocvs.rmki.kfki.hu/igraph}, Author = {Csardi, G.}, Institution = {Repository CRAN}, Title = {Package igraph}, Year = {2009}} @article{ali09, Author = {Ali, R. A. and Richardson, T. and Spirtes, P.}, Journal = {Annals of Statistics}, Number = {5B}, Pages = {2808-2837}, Title = {Markov Equivalence for Ancestral Graphs}, Volume = {37}, Year = {2009}} @techreport{spi97, Author = {Spirtes, P. and Richardson, T. and Meek, C.}, Institution = {Philosophy Department, CMU}, Number = {CMU-PHIL-83}, Title = {The dimensionality of mixed ancestral graphs}, Year = {1997}} @article{drt09, Author = {Drton, M.}, Journal = {Bernoulli}, Number = {3}, Pages = {736-753}, Title = {Discrete chain graph models}, Volume = {15}, Year = {2009}} @article{pea87, Address = {North-Holland, Amsterdam, Netherlands}, Author = {Pearl, J. and Paz, A.}, Journal = {Advances in Artificial Intelligence-II}, Pages = {357-363}, Title = {Graphoids: a graph based logic for reasoning about relevancy relations}, Year = {1987}} @article{ric03, Author = {Richardson, T.}, Journal = {Scandinavian Journal of Statistics}, Number = {1}, Pages = {145-157}, Title = {Markov properties for acyclic directed mixed graphs}, Volume = {30}, Year = {2003}} @article{cox93, Author = {Cox, D. R. and Wermuth, N.}, Journal = {Statistical Science}, Number = {3}, Pages = {204-218; 247-277}, Title = {Linear dependencies represented by chain graphs (with discussion)}, Volume = {8}, Year = {1993}} @article{fry90, Author = {Frydenberg, M.}, Journal = {Scandinavian Journal of Statistics}, Pages = {333-353}, Title = {The chain graph {M}arkov property}, Volume = {17}, Year = {1990}} @article{lau90, Author = {Lauritzen, S. L. and Dawid, A. P. and Larsen, B. N. and Leimer, H. G.}, Journal = {Networks}, Pages = {491-505}, Title = {Independence properties of directed {M}arkov fields}, Volume = {20}, Year = {1990}} @article{cox93, Author = {Cox, D.R. and Wermuth, N.}, Journal = {Statistical Science}, Number = {3}, Pages = {204-218; 247-277}, Title = {Linear dependencies represented by chain graphs (with discussion)}, Volume = {8}, Year = {1993}} @article{wer98, Author = {Wermuth, N. and Cox, D. R.}, Journal = {Bernoulli}, Pages = {477-495}, Title = {On association models defined over independence graphs}, Volume = {4}, Year = {1998}} @article{pea94, Author = {Pearl, J. and Wermuth, N.}, Journal = {Models and Data, Artificial Intelligence and Statistics}, Pages = {205-214}, Title = {When can association graphs admit a causal interpretation?}, Volume = {4}, Year = {1994}} @article{war62, Author = {Warshall, S.}, Issue = {1}, Journal = {Journal of the ACM (JACM)}, Pages = {11-12}, Title = {A Theorem on {B}oolean Matrices}, Volume = {9}, Year = {1962}} @article{wer76, Author = {Wermuth, N.}, Journal = {Biometrics}, Pages = {95-108}, Title = {Analogies between multiplicative models for contingency tables and covariance selection}, Volume = {32}, Year = {1976}} @article{werc04, Author = {Wermuth, N. and Cox, D. R.}, Journal = {J. Roy. Statistical Society B}, Pages = {687-717}, Part = {3}, Title = {Joint response graphs and separation induced by triangular systems}, Volume = {66}, Year = {2004}} @article{kau96, Author = {Kauermann, G.}, Journal = {Scandinavian Journal of Statistics}, Number = {1}, Pages = {105-116}, Title = {On a dualization of graphical {G}aussian models}, Volume = {23}, Year = {1996}} @inproceedings{spir97, Address = {Ft. Lauderdale, FL, USA}, Author = {Spirtes, P. and Richardson, T. S.}, Booktitle = {Preliminary Papers, Sixth International Workshop on AI and Statistics}, Pages = {489-501}, Title = {A polynomial-time algorithm for determining DAG equivalence in the presence of latent variables and selection bias}, Year = {1997}} @article{jen88, Author = {Jensen, S. T.}, Journal = {Annals of Statistics,}, Number = {1}, Pages = {302-322}, Title = {Covariance hypotheses which are linear in both the covariance and the inverse covariance}, Volume = {16}, Year = {1988}} @article{bla92, Author = {Blair, J. R. S. and Peyton, B.}, Journal = {Graph Theory and Sparse Matrix Computation (eds. George, A., Gilbert, 25 J. R., Liu, J. W.)}, Pages = {1-29}, Title = {An introduction to chordal graphs and clique trees.}, Year = {1992}} @article{mar06, Author = {Marchetti, G. M.}, Journal = {Journal of Statistical Software}, Number = {6}, Title = {Independencies Induced from a Graphical {M}arkov Model After Marginalization and Conditioning: the {R} Package ggm}, Volume = {15}, Year = {2006}} @article{wer09, Author = {Wermuth, N. and Marchetti, G. M. and Cox, D. R.}, Journal = {Electronic Journal of Statistics}, Pages = {932-955}, Title = {Triangular systems for symmetric binary variables}, Volume = {3}, Year = {2009}} @article{kan09, Author = {Kang, C. and Tian, J.}, Journal = {Journal of Machine Learning Research}, Pages = {41-70}, Title = {Markov properties for linear causal models with correlated errors}, Volume = {10}, Year = {2009}} @article{stu89, Author = {Studeny, M.}, Journal = {Problems Control Information Theory}, Pages = {3-16}, Title = {Multiinformation and the problem of characterization of conditional independence relations}, Volume = {18}, Year = {1989}} @article{kii84, Author = {Kiiveri, H. and Speed, T. P. and Carlin, J. B.}, Journal = {Journal of the Australian Mathematical Society, Series A}, Pages = {30-52}, Title = {Recursive causal models}, Volume = {36}, Year = {1984}} @article{wri21, Author = {Wright, S.}, Journal = {Annals of Mathematics Statistics}, Number = {3}, Pages = {161-215}, Title = {The method of path coefficients}, Volume = {5}, Year = {1934}} @book{bla71, Address = {London, United Kingdom}, Editor = {Blalock, H. M.}, Publisher = {Macmillan}, Title = {Causal Models in the Social Sciences}, Year = 1971} @article{dem72, Author = {Dempster, A. P.}, Journal = {Biometrics}, Number = {1}, Pages = {157-175}, Title = {Covariance selection}, Volume = {28}, Year = {1972}} @article{lau89, Author = {Lauritzen, S. L. and Wermuth, N.}, Journal = {Annals of Statistics}, Pages = {31-57}, Title = {Graphical models for association between variables, some of which are qualitative and some quantitative}, Volume = {17}, Year = {1989}} @article{tar84, Author = {Tarjan, R. E. and Yannakakis, M.}, Issue = {3}, Journal = {SIAM Journal on Computing}, Pages = {566-579}, Title = {Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs}, Volume = {13}, Year = {1984}} @book{gib02, Address = {New Haven, Connecticut, USA}, Author = {Gibbs, J. W.}, Publisher = {Yale University Press}, Title = {Elementary Principles of Statistical Mechanics}, Year = 1902} @article{wol54, Author = {Wold, H. D. A.}, Journal = {Econometrica}, Number = {2}, Pages = {162-177}, Title = {Causality and econometrics}, Volume = {22}, Year = {1954}} @article{dar80, Author = {Darroch, J. N. and Lauritzen, S. L. and Speed, T. P.}, Journal = {Annals of Statistics}, Pages = {522-539}, Title = {Markov fields and log-linear interaction models for contingency tables}, Volume = {8}, Year = {1980}} @article{hod83, Author = {Hodapp, V. and Wermuth, N.}, Journal = {Multivariate Behavioral Research}, Pages = {361-390}, Title = {Decomposable Models: A new look at interdependence and dependence structures in psychological research}, Volume = {18}, Year = {1983}} @book{spi71, Address = {New York-Heidelberg}, Author = {Spitzer, F.}, Publisher = {Springer-Verlag}, Title = {Principles of Random Walks (Graduate Texts in Mathematics)}, Year = 1971} @unpublished{ham71, Author = {Hammersley, J. M. and Clifford, P.}, Note = {Unpublished}, Title = {Markov fields on finite graphs and lattices}, Year = {1971}} @article{bes74, Author = {Besag, J.}, Journal = {Journal of the Royal Statistical Society, Series B}, Number = {2}, Pages = {192-236}, Title = {Spatial interaction and the statistical analysis of lattice systems}, Volume = {36}, Year = {1974}} @inproceedings{ver90, Address = {New York, NY}, Author = {Verma, T. and Pearl, J.}, Booktitle = {Proceedings of the Proceedings of the Sixth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-90)}, Pages = {220-227}, Publisher = {Elsevier Science}, Title = {On the Equivalence of Causal Models}, Year = {1990}} @inproceedings{drt04, Address = {Arlington, Virginia}, Author = {Drton, M. and Richardson, T.}, Booktitle = {Proceedings of the Proceedings of the Twentieth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-04)}, Pages = {130-137}, Publisher = {AUAI Press}, Title = {Iterative Conditional Fitting for Gaussian Ancestral Graph Models}, Year = {2004}} @article{wer06, Author = {Wermuth, N. and Wiedenbeck, M. and Cox, D. R.}, Journal = {BIT Numerical Mathematics}, Pages = {883-901}, Title = {Partial inversion for linear systems and partial closure of independence graphs}, Volume = {46}, Year = {2006}} @article{goo70, Author = {Goodman, L. A.}, Journal = {Journal of the {A}merican Statistical Association}, Pages = {339-344}, Title = {The multivariate analysis of qualitative data: interaction among multiple classifications}, Volume = {66}, Year = {1970}} @manual{Sad09, Address = {United Kingdom}, Author = {Sadeghi, K.}, Organization = {Transfer thesis, University of Oxford}, Title = {Graphical Representation of Modified Independence Structure}, Year = {2009}} @book{stu05, Address = {London, UK}, Author = {Studeny, M.}, Publisher = {Springer}, Title = {Probabilistic Conditional Independence Structures}, Year = 2005} @article{hol81, Author = {Paul Holland and Samuel Leinhardt}, Journal = {Journal of the {A}merican Statistical Association}, Pages = {33-50}, Title = {An Exponential Family of Probability Distributions for Directed Graphs}, Volume = {76}, Year = {1981}} @article{fie81, Author = {Fienberg, S. E. and Wasserman, S.}, Journal = {Journal of the {A}merican Statistical Association}, Pages = {54-57}, Title = {Discussion of An Exponential Family of Probability Distributions for Directed Graphs by Holland and Leinhardt}, Volume = {76}, Year = {1981}} @article{hun06, Author = {David R. Hunter and Mark S. Handcock}, Journal = {Journal of Computational and Graphical Statistics}, Number = {3}, Pages = {565-583}, Title = {Inference in Curved Exponential Family Models for Networks}, Volume = {15}, Year = {2006}} @article{kri09, Author = {Pavel N. Krivitsky and Mark S. Handcock and Adrian E. Raftery and Peter D. Hoff}, Journal = {Social Networks}, Pages = {204-213}, Title = {Representing degree distributions, clustering, and homophily in social networks with latent cluster random effects models}, Volume = {31}, Year = {2009}} @article{fra86, Author = {Ove Frank and David Strauss}, Journal = {Journal of the {A}merican Statistical Association}, Pages = {832-842}, Title = {Markov Graphs}, Volume = {81}, Year = {1986}} @article{erd59, Author = {P. Erd{\H{o}}s and A. R{\'{e}}nyi}, Journal = {Publicationes Mathematicae}, Pages = {290-297}, Title = {On random graphs}, Volume = {6}, Year = {1959}} @article{bli10, Author = {Joseph Blitzstein and Persi Diaconis}, Journal = {Internet Math.}, Number = {4}, Pages = {489-522}, Title = {A Sequential Importance Sampling Algorithm for Generating Random Graphs with Prescribed Degrees}, Volume = {6}, Year = {2010}} @article{rin13, Author = {Alessandro Rinaldo and Sonja Petrovi\'{c} and Stephen E. Fienberg}, Journal = {Annals of Statistics}, Number = {3}, Pages = {1085-1110}, Title = {Maximum lilkelihood estimation in the Beta model}, Volume = {41}, Year = {2013}} @article{drt08, Author = {Mathias Drton and Thomas S. Richardson}, Journal = {Journal of the Royal Statistical Society Series B}, Number = {2}, Pages = {287-309}, Title = {Binary Models for Marginal Independence}, Volume = {70}, Year = {2008}} @article{new03, Author = {M. E. J. Newman}, Journal = {SIAM Review}, Pages = {167-256}, Title = {The structure and function of complex networks}, Volume = {45}, Year = {2003}} @article{han07, Author = {Handcock, M. S. and Morris, M.}, Journal = {Statistical Network Analysis: Models, Issues and New Directions}, Pages = {103-114}, Title = {A simple model for complex networks with arbitrary degree distribution and clustering}, Volume = {4503}, Year = {2007}} @article{cha11, Author = {Sourav Chatterjee and Persi Diaconis and Allan Sly}, Journal = {Annals of Applied Probability}, Number = {4}, Pages = {1400-1435}, Title = {Random graphs with a given degree sequence}, Volume = {21}, Year = {2011}} @inproceedings{shi11, Author = {Shigeo Shioda and Masato Yoshihara and Asuka Izumi and Kouhei Tachikawa}, Booktitle = {Proceedings of the 2011 International Workshop on Modeling, Analysis, and Control of Complex Networks}, Pages = {1-8}, Title = {Markov Property of Correlated Random Networks and its Application to the Analysis of the Internet Topologies}, Year = {2011}} @article{dim09, Author = {Xenofontas Dimitropoulos and Dmitri Krioukov and Amin Vahdat and George Riley}, Journal = {ACM Transactions on Modeling and Computer Simulation}, Number = {4}, Pages = {17:1-17:29}, Title = {Graph Annotations in Modeling Complex Network Topologies}, Volume = {19}, Year = {2009}} @article{mah06, Address = {Pisa, Italy}, Author = {Mahadevan, P. and Krioukov, D. and Fall, K. and Vahdat, A.}, Institution = {Cooperative Association for Internet Data Analysis (CAIDA)}, Journal = {SIGCOMM 2006}, Keywords = {topology}, Month = {Sep}, Number = {4}, Pages = {135-146}, Publisher = {SIGCOMM 2006}, Title = {{Systematic Topology Analysis and Generation Using Degree Correlations}}, Volume = {36}, Year = {2006}} @article{rob07, Author = {Garry Robins and Pip Pattison and Yuval Kalish and Dean Lusher}, Journal = {Social Networks}, Pages = {173-191}, Title = {An introduction to exponential random graph models for social networks}, Volume = {29}, Year = {2007}} @article{cha13, Author = {Sourav Chatterjee and Persi Diaconis}, Journal = {submitted}, Note = {http://arxiv.org/abs/1102.2650}, Title = {Estimating and Understanding Exponential Random Graph Models}, Year = {2013}} @book{bol01, Address = {Cambridge, UK}, Author = {Bollobas, B.}, Publisher = {Cambridge University Press}, Title = {Random Graphs}, Year = {2001}} @book{bro86, Address = {Hayward, CA, USA}, Author = {Brown, L.}, Publisher = {IMS Lecture Notes---Monograph Series}, Title = {Fundamentals of Statistical Exponential Families}, Volume = {9}, Year = {1986}} @article{sni06, Author = {Snijders, T. A. B. and Pattison, P. E. and Robins, G. L. and Handcock, M. S.}, Journal = {Sociological Methodology}, Pages = {99-153}, Title = {NEW SPECIFICATIONS FOR EXPONENTIAL RANDOM GRAPH MODELS}, Volume = {36}, Year = {2006}} @article{sch11, Author = {Schweinberger, Michael}, Journal = {Journal of the American Statistical Association, Theory & Methods}, Pages = {1361--1370}, Title = {Instability, sensitivity, and degeneracy of discrete exponential families}, Volume = {106}, Year = {2011}} @book{bar78, Address = {Chichester, UK}, Author = {Barndorff-Nielsen, O. E.}, Publisher = {John Wiley and Sons}, Title = {Information and Exponential Families in Statistical Theory}, Year = 1978} @inproceedings{sadr14, Address = {Montreal, Canada. \arxiv{1411.3825}}, Author = {Kayvan Sadeghi and Alessandro Rinaldo}, Booktitle = {NIPS workshop}, Date-Modified = {2017-02-20 18:21:13 +0000}, Title = {Statistical Models for Degree Distributions of Networks}, Year = {2014}} @article{ama08, Author = {Y. Amanatidis and B. Green and M. Mihail}, Date-Modified = {2017-02-17 18:31:17 +0000}, Journal = {In preprint. \arxiv{1509.07076}}, Title = {Graphic realizations of joint-degree matrices}, Year = {2011}} @article{sta12, Author = {Stanton, Isabelle and Pinar, Ali}, Issue_Date = {2012}, Journal = {J. Exp. Algorithmics}, Pages = {3.5:3.1--3.5:3.25}, Title = {Constructing and Sampling Graphs with a Prescribed Joint Degree Distribution}, Volume = {17}, Year = {2012}} @article{cza15, Author = {E. Czabarka and A. Dutle and P. L. Erd{\H{o}}s and I. Mikl{\'{o}}s}, Date-Modified = {2017-02-17 18:45:08 +0000}, Journal = {Discrete Applied Mathematics}, Pages = {283 - 288}, Title = {On realizations of a joint degree matrix}, Volume = {181}, Year = {2015}} @article{was96, Author = {Wasserman, Stanley and Pattison, Philippa}, Issn = {0033-3123}, Journal = {Psychometrika}, Language = {English}, Number = 3, Pages = {401-425}, Title = {Logit models and logistic regressions for social networks: I. An introduction to {M}arkov graphs and $p^*$}, Volume = 61, Year = 1996} @article{fra91, Author = {Frank, O.}, Issn = {1467-9574}, Journal = {Statistica Neerlandica}, Number = 3, Pages = {283--293}, Publisher = {Blackwell Publishing Ltd}, Title = {Statistical analysis of change in networks}, Volume = 45, Year = 1991}