非线性反问题的elastic-net正则化  

Elastic-net Regularization for Nonlinear Inverse Problems

作　　者：王思雨 丁亮[1] Wang Siyu;Ding Liang(Northeast Forestry University)

机构地区：[1]东北林业大学

出　　处：《哈尔滨师范大学自然科学学报》2021年第2期6-11,共6页Natural Science Journal of Harbin Normal University

摘　　要：研究非线性不适定算子方程F(x)=y的求解问题,提出基于非线性算子方程的elastic-net正则化.研究elastic-net正则化性质,即正则化解的存在性,稳定性,收敛性和收敛速度.In this paper, the solution of nonlinear ill-posed operator equation F(x)=y is researched, and elastic-net regularization based on nonlinear operator equation is proposed. The properties of elastic-net regularization are studied, such as, the existence, stability, convergence and convergence rate of regularized solutions.

关 键 词：非线性不适定问题 elastic-net正则化 正则化性质 收敛速度 

分 类 号：O175[理学—数学]