Sparse inverse covariance estimation with the graphical lasso.

  title={Sparse inverse covariance estimation with the graphical lasso.},
  author={J. Friedman and T. Hastie and R. Tibshirani},
  volume={9 3},
  • J. Friedman, T. Hastie, R. Tibshirani
  • Published 2008
  • Mathematics, Medicine
  • Biostatistics
  • We consider the problem of estimating sparse graphs by a lasso penalty applied to the inverse covariance matrix. Using a coordinate descent procedure for the lasso, we develop a simple algorithm--the graphical lasso--that is remarkably fast: It solves a 1000-node problem ( approximately 500,000 parameters) in at most a minute and is 30-4000 times faster than competing methods. It also provides a conceptual link between the exact problem and the approximation suggested by Meinshausen and B… CONTINUE READING
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