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arXiv 2006.15419stat.MLcs.LGcs.MS
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R语言中高维线性回归和精度矩阵估计的flare包

The flare Package for High Dimensional Linear Regression and Precision Matrix Estimation in R

University of Minnesota Twin Cities(明尼苏达大学双城分校);Johns Hopkins University(约翰斯·霍普金斯大学);Hong Kong Baptist University(香港浸会大学);Princeton University(普林斯顿大学)

Xingguo Li, Tuo Zhao, Xiaoming Yuan, Han Liu

摘要:

本文介绍了一个R软件包flare,它实现了一系列新的高维回归方法(LAD Lasso,SQRT Lasso,$\ell_q$ Lasso和Dantzig选择器)及其对稀疏精度矩阵估计的扩展(TIGER和CLIME)。这些方法利用不同的非光滑损失函数,以获得建模的灵活性,估计的鲁棒性和调谐不敏感性。所开发的求解器是基于交替方向乘法器(ADMM)。flare包是用双精度C编写的,并通过用户友好的界面从R调用。通过使用稀疏矩阵输出来优化存储器使用。实验结果表明,耀斑是有效的,可以扩展到大的问题。

英文摘要:

This paper describes an R package named flare, which implements a family of new high dimensional regression methods (LAD Lasso, SQRT Lasso, $\ell_q$ Lasso, and Dantzig selector) and their extensions to sparse precision matrix estimation (TIGER and CLIME). These methods exploit different nonsmooth loss functions to gain modeling flexibility, estimation robustness, and tuning insensitiveness. The developed solver is based on the alternating direction method of multipliers (ADMM). The package flare is coded in double precision C, and called from R by a user-friendly interface. The memory usage is optimized by using the sparse matrix output. The experiments show that flare is efficient and can scale up to large problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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