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
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)