• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Zhao, Xinyi (Zhao, Xinyi.) | Rong, Yaohua (Rong, Yaohua.) | Lin, Junze (Lin, Junze.) | Tian, Maozai (Tian, Maozai.) | Liang, Jinwen (Liang, Jinwen.)

Indexed by:

Scopus SCIE

Abstract:

Obtaining excellent prediction accuracy in the high-dimensional partially linear model is particularly important. However, it is difficult to achieve due to the complex relationship between nonparametric covariates and the response. Irrelevant covariates and unimportant data also commonly attenuate the prediction performance of the model. Further, high-dimensional data analysis is challenging for modern statistical studies. To overcome these difficulties, we propose the Double Sparsity Garrotized Kernel Machine (DSGKM) method with an efficient algorithm and its adjusted version for prediction. Specifically, we estimate the nonparametric components using the kernel machine technique, and impose L1-norm penalties simultaneously to select relevant covariates and retain the representative data in the final model. Besides, the convergence analysis of the adjusted algorithm is conducted. The advantages of our method are: (i) to sufficiently capture the complex relationship between nonparametric covariates and the response; (ii) to identify relevant covariates and select representative data; and (iii) to achieve higher computational efficiency, especially the situations when both parametric and nonparametric components are high-dimensional. Results on both simulated and real data show that the proposed method outperforms existing methods, even when outliers exist.

Keyword:

Variable selection High-dimensional partially linear model Kernel machine L-1-norm Data extraction

Author Community:

  • [ 1 ] [Zhao, Xinyi]Beijing Univ Technol, Sch Math Stat & Mech, Beijing, Peoples R China
  • [ 2 ] [Rong, Yaohua]Beijing Univ Technol, Sch Math Stat & Mech, Beijing, Peoples R China
  • [ 3 ] [Liang, Jinwen]Beijing Univ Technol, Sch Math Stat & Mech, Beijing, Peoples R China
  • [ 4 ] [Lin, Junze]Univ Illinois, Dept Econ, Urbana, IL USA
  • [ 5 ] [Tian, Maozai]Renmin Univ China, Ctr Appl Stat, Sch Stat, Beijing, Peoples R China

Reprint Author's Address:

  • [Rong, Yaohua]Beijing Univ Technol, Sch Math Stat & Mech, Beijing, Peoples R China;;[Tian, Maozai]Renmin Univ China, Ctr Appl Stat, Sch Stat, Beijing, Peoples R China

Show more details

Related Keywords:

Source :

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

ISSN: 0361-0918

Year: 2024

0 . 9 0 0

JCR@2022

Cited Count:

WoS CC Cited Count: 37

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

Affiliated Colleges:

Online/Total:646/10637094
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.