Journal
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
Volume 76, Issue 2, Pages 373-397Publisher
WILEY
DOI: 10.1111/rssb.12033
Keywords
Alternating directions method of multipliers; Gaussian graphical model; Generalized fused lasso; Graphical lasso; Group lasso; High dimensional data; Network estimation
Categories
Funding
- National Institutes of Health [1R01GM082802, P01CA53996, U24CA086368, DP5OD009145]
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We consider the problem of estimating multiple related Gaussian graphical models from a high dimensional data set with observations belonging to distinct classes. We propose the joint graphical lasso, which borrows strength across the classes to estimate multiple graphical models that share certain characteristics, such as the locations or weights of non-zero edges. Our approach is based on maximizing a penalized log-likelihood. We employ generalized fused lasso or group lasso penalties and implement a fast alternating directions method of multipliers algorithm to solve the corresponding convex optimization problems. The performance of the method proposed is illustrated through simulated and real data examples.
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