Total positivity in exponential families with application to binary variables
暂无分享,去创建一个
Caroline Uhler | Piotr Zwiernik | Steffen Lauritzen | S. Lauritzen | Caroline Uhler | Piotr Zwiernik
[1] N. Wermuth,et al. Palindromic Bernoulli distributions , 2015, 1510.09072.
[2] R. Jirousek,et al. On the effective implementation of the iterative proportional fitting procedure , 1995 .
[3] Bernd Sturmfels,et al. Geometry of Log-Concave Density Estimation , 2017, Discrete & Computational Geometry.
[4] Bernd Sturmfels,et al. Tensors of Nonnegative Rank Two , 2013 .
[5] D. Borsboom,et al. Network analysis: an integrative approach to the structure of psychopathology. , 2013, Annual review of clinical psychology.
[6] Moshe Shaked,et al. Some notions of multivariate positive dependence , 2005 .
[7] L. Wasserman,et al. Universal inference , 2019, Proceedings of the National Academy of Sciences.
[8] Andreas Krause,et al. Scalable Variational Inference in Log-supermodular Models , 2015, ICML.
[9] David Bruce Wilson,et al. Exact sampling with coupled Markov chains and applications to statistical mechanics , 1996, Random Struct. Algorithms.
[10] Dmitry M. Malioutov,et al. Walk-Sums and Belief Propagation in Gaussian Graphical Models , 2006, J. Mach. Learn. Res..
[11] Francis R. Bach,et al. Learning with Submodular Functions: A Convex Optimization Perspective , 2011, Found. Trends Mach. Learn..
[12] Matthias Hein,et al. Estimation of positive definite M-matrices and structure learning for attractive Gaussian Markov Random fields , 2014, 1404.6640.
[13] S. Lauritzen,et al. Maximum likelihood estimation in Gaussian models under total positivity , 2017, The Annals of Statistics.
[14] C. Fortuin,et al. Correlation inequalities on some partially ordered sets , 1971 .
[15] J. Besag. Spatial Interaction and the Statistical Analysis of Lattice Systems , 1974 .
[16] Michael I. Jordan. Graphical Models , 1998 .
[17] Bhaskar Bhattacharya,et al. Covariance selection and multivariate dependence , 2012, J. Multivar. Anal..
[18] Steffen L. Lauritzen,et al. Lectures on Contingency Tables , 2002 .
[19] Shaun M. Fallat,et al. Total positivity in Markov structures , 2015, 1510.01290.
[20] Olga V. Demler,et al. The US National Comorbidity Survey Replication (NCS‐R): design and field procedures , 2004, International journal of methods in psychiatric research.
[21] Daniele Agostini,et al. Discrete Gaussian Distributions via Theta Functions , 2018, SIAM J. Appl. Algebra Geom..
[22] Piotr Zwiernik,et al. Maximum likelihood estimation of the Latent Class Model through model boundary decomposition , 2017, Journal of Algebraic Statistics.
[23] David J. Spiegelhalter,et al. Probabilistic Networks and Expert Systems , 1999, Information Science and Statistics.
[24] B. Sturmfels,et al. Maximum likelihood estimation for totally positive log‐concave densities , 2018, Scandinavian Journal of Statistics.
[25] Eduardo Pavez,et al. Graph Learning From Filtered Signals: Graph System and Diffusion Kernel Identification , 2018, IEEE Transactions on Signal and Information Processing over Networks.
[26] Ole E. Barndorff-Nielsen,et al. Information and Exponential Families in Statistical Theory , 1980 .
[27] C.J.H. Mann,et al. Probabilistic Conditional Independence Structures , 2005 .
[28] Antonio Ortega,et al. Graph Learning From Data Under Laplacian and Structural Constraints , 2016, IEEE Journal of Selected Topics in Signal Processing.
[29] P. Alam. ‘A’ , 2021, Composites Engineering: An A–Z Guide.
[30] Francesco Bartolucci,et al. A recursive algorithm for Markov random fields , 2002 .
[31] O. Barndorff-Nielsen. Information and Exponential Families in Statistical Theory , 1980 .
[32] S. Karlin,et al. Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions , 1980 .
[33] C. Newman. A general central limit theorem for FKG systems , 1983 .
[34] F. Bartolucci,et al. A likelihood ratio test for $MTP_2$ within binary variables , 2000 .
[35] Stephen P. Boyd,et al. Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.
[36] John P. Moussouris. Gibbs and Markov random systems with constraints , 1974 .
[37] L. Lauritzen,et al. Lectures on Contingency Tables Electronic edition , 2002 .
[38] Vincent Y. F. Tan,et al. High-dimensional Gaussian graphical model selection: walk summability and local separation criterion , 2011, J. Mach. Learn. Res..
[39] D. Geiger,et al. On the toric algebra of graphical models , 2006, math/0608054.