Efficient Distributed Estimation of High-dimensional Sparse Precision Matrix for Transelliptical Gra

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In this paper, distributed estimation of high-dimensional sparse precision matrix is pro-posed based on the debiased D-trace loss penalized lasso and the hard threshold method when samples are distributed into diff erent machines for transelliptical graphical models. At a certain level of sparse-ness, this method not only achieves the correct selection of non-zero elements of sparse precision matrix, but the error rate can be comparable to the estimator in a non-distributed setting. The numerical re-sults further prove that the proposed distributed method is more eff ective than the usual average method.
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