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Positive-Definite Sparse Precision Matrix Estimation 被引量:1

Positive-Definite Sparse Precision Matrix Estimation
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摘要 The positive-definiteness and sparsity are the most important property of high-dimensional precision matrices. To better achieve those property, this paper uses a sparse lasso penalized D-trace loss under the positive-definiteness constraint to estimate high-dimensional precision matrices. This paper derives an efficient accelerated gradient method to solve the challenging optimization problem and establish its converges rate as . The numerical simulations illustrated our method have competitive advantage than other methods. The positive-definiteness and sparsity are the most important property of high-dimensional precision matrices. To better achieve those property, this paper uses a sparse lasso penalized D-trace loss under the positive-definiteness constraint to estimate high-dimensional precision matrices. This paper derives an efficient accelerated gradient method to solve the challenging optimization problem and establish its converges rate as . The numerical simulations illustrated our method have competitive advantage than other methods.
出处 《Advances in Pure Mathematics》 2017年第1期21-30,共10页 理论数学进展(英文)
关键词 Positive-Definiteness SPARSITY D-Trace Loss ACCELERATED Gradient Method Positive-Definiteness Sparsity D-Trace Loss Accelerated Gradient Method
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