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非线性LTS估计的截断凝聚光滑化方法

肖瑜

华东交通大学学报Issue(4):59-64,6.
华东交通大学学报Issue(4):59-64,6.

非线性LTS估计的截断凝聚光滑化方法

Truncated Aggregate Smoothing Method for Nonlinear LTS Estimator

肖瑜1

作者信息

  • 1. 华东交通大学理学院,江西 南昌 330013
  • 折叠

摘要

Abstract

The computing of the nonlinear least trimmed squares (LTS) estimator is considered. LTS is a robust esti-mator and can be converted to a min-min non-convex and non-smooth programming problem. For the data set with size m , the objective function is the minimum of all the m͂-subsets' residual sum of squares. Even if m is not big, the number of the subsets may be very large which makes computing LTS estimator difficult. For such a special kind of problem, an appropriate truncated criteria standard is given and then an efficient truncated smooth-ing Newton method is proposed. The numerical results show the efficiency.

关键词

LTS估计/凝聚函数/截断凝聚光滑化

Key words

LTS estimator/aggregate function/truncation smoothing

分类

数理科学

引用本文复制引用

肖瑜..非线性LTS估计的截断凝聚光滑化方法[J].华东交通大学学报,2014,(4):59-64,6.

基金项目

国家自然科学基金资助项目 ()

华东交通大学学报

OACSTPCD

1005-0523

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