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球面l1-正则化逼近模型及其应用研究

陈斯泳 安聪沛

计算机工程与应用2018,Vol.54Issue(12):35-40,6.
计算机工程与应用2018,Vol.54Issue(12):35-40,6.DOI:10.3778/j.issn.1002-8331.1704-0357

球面l1-正则化逼近模型及其应用研究

Spherical l1-regularization approximation model and its application

陈斯泳 1安聪沛1

作者信息

  • 1. 暨南大学 信息科学技术学院 数学系,广州 510632
  • 折叠

摘要

Abstract

Based on variant regularization operators, this paper sets up a class of spherical l1-regularization least squares approximation model. The algorithm is illustrated to solve this approximation problem by using well conditioned spherical t-design as sampling point sets. Finally, numerical experiments demonstrate the theoretical results can provide satisfactory approximation on the sphere, with or without the presence of data errors.

关键词

球面多项式逼近/球面t-设计/l1-正则化

Key words

spherical polynomial approximation/spherical t-design/l1-regularization

分类

数理科学

引用本文复制引用

陈斯泳,安聪沛..球面l1-正则化逼近模型及其应用研究[J].计算机工程与应用,2018,54(12):35-40,6.

基金项目

国家自然科学基金(No.11301222,No.11371173) (No.11301222,No.11371173)

暨南大学科研培育与创新基金(No.21615453). (No.21615453)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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