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The joint graphical lasso for inverse covariance estimation across multiple classes

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  • Patrick Danaher
  • Pei Wang
  • Daniela M. Witten

Abstract

type="main" xml:id="rssb12033-abs-0001"> 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.

Suggested Citation

  • Patrick Danaher & Pei Wang & Daniela M. Witten, 2014. "The joint graphical lasso for inverse covariance estimation across multiple classes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 76(2), pages 373-397, March.
    • Handle: RePEc:bla:jorssb:v:76:y:2014:i:2:p:373-397
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    File URL: http://hdl.handle.net/10.1111/rssb.2014.76.issue-2
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