Joint Learning of Multiple Sparse Matrix Gaussian Graphical Models

IEEE Transactions on Neural Networks and Learning Systems
Feihu Huang, Songcan Chen

Abstract

We consider joint learning of multiple sparse matrix Gaussian graphical models and propose the joint matrix graphical Lasso to discover the conditional independence structures among rows (columns) in the matrix variable under distinct conditions. The proposed approach borrows strength across the different graphical models and is based on the maximum likelihood with penalized row and column precision matrices, respectively. In particular, our model is more parsimonious and flexible than the joint vector graphical models. Furthermore, we establish the asymptotic properties of our model on consistency and sparsistency. And the asymptotic analysis shows that our model enjoys a better convergence rate than the joint vector graphical models. Extensive simulation experiments demonstrate that our methods outperform state-of-the-art methods in identifying graphical structures and estimating precision matrices. Moreover, the effectiveness of our methods is also illustrated via a real data set analysis. Sparsistency is shorthand for consistency of the sparsity pattern of the parameters.

References

Dec 15, 2007·Biostatistics·Jerome FriedmanRobert Tibshirani
Dec 18, 2007·PLoS Genetics·Jacob M ZahnKevin G Becker
Jan 1, 2009·Annals of Statistics·Clifford Lam, Jianqing Fan
Jan 25, 2012·Gene Regulation and Systems Biology·Simon Rosenfeld
Mar 1, 2012·Journal of Multivariate Analysis·Jianxin Yin, Hongzhe Li
Jul 11, 2012·Technology in Cancer Research & Treatment·F YangG Wang
Mar 1, 2011·Biometrika·Jian GuoJi Zhu
Oct 27, 2012·Technology in Cancer Research & Treatment·ZhaoZhi YangXiaoMao Guo
Dec 12, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Satoshi Hara, Takashi Washio
Aug 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Djamel Bouchaffra
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Qin ZhangZhihui Yang
May 13, 2014·Journal of the Royal Statistical Society. Series B, Statistical Methodology·Patrick DanaherDaniela M Witten
Nov 5, 2014·Journal of Computational and Graphical Statistics : a Joint Publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America·Kean Ming Tan, Daniela M Witten
Nov 25, 2014·IEEE Transactions on Neural Networks and Learning Systems·Hong CaoJohn Z F Pang

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Citations

Apr 9, 2017·Computational Biology and Chemistry·Xiao-Fei ZhangHong Yan
Jul 6, 2017·IEEE Transactions on Neural Networks and Learning Systems·Feihu HuangSheng-Jun Huang
Apr 10, 2019·Ecology and Evolution·Marti J AndersonArden E Miller

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