政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/142865

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政大機構典藏 > 商學院 > 國際經營與貿易學系 > 期刊論文 > Item 140.119/142865

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题名:	An attention algorithm for solving large scale structured L0-norm penalty estimation problems
作者:	顏佑銘 Yen, Yu-Min Yen, Tso-Jung
贡献者:	國貿系
关键词:	Blockwise coordinate descent algorithms;Model selection;Nonconvex optimization;Proximal operators;Randomized algorithms
日期:	2021-01
上传时间:	2022-12-27 10:57:04 (UTC+8)
摘要:	Technology advances have enabled researchers to collect large amounts of data with lots of covariates. Because of the high volume (large n) and high variety (large p) properties, model estimation with such big data has posed great challenges for statisticians. In this paper, we focus on the algorithmic aspect of these challenges. We propose a numerical procedure for solving large scale regression estimation problems involving a structured l0-norm penalty function. This numerical procedure blends the ideas of randomization, blockwise coordinate descent algorithms, and a closed-form representation of the proximal operator of the structured l0-norm penalty function. In particular, it adopts an “attention” mechanism that exploits the iteration errors to build a sampling distribution for picking up regression coefficients for updates. Simulation study shows the proposed numerical procedure is competitive when comparing with other algorithms for sparse estimation in terms of runtime and statistical accuracy when both the sample size and the number of covariates become large.
關聯:	Japanese Journal of Statistics and Data Science, Vol.4, pp.345-371
数据类型:	article
DOI 連結:	https://doi.org/10.1007/s42081-020-00101-z
DOI:	10.1007/s42081-020-00101-z
显示于类别:	[國際經營與貿易學系 ] 期刊論文

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