鲁棒线性回归分析-贪婪的方式

G. Papageorgiou, P. Bouboulis, S. Theodoridis, K. Themelis
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引用次数: 6

摘要

本文研究了存在异常值时的鲁棒估计问题。通过使用稀疏性参数显式地对异常值进行建模。提出了一种基于贪婪正交匹配追踪(OMP)算法的高效寻优算法。讨论了溶液回收的理论结果和模拟实验,验证了新技术的比较优势。
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Robust linear regression analysis - The greedy way
In this paper, the task of robust estimation in the presence of outliers is presented. Outliers are explicitly modeled by employing sparsity arguments. A novel efficient algorithm, based on the greedy Orthogonal Matching Pursuit (OMP) scheme, is derived. Theoretical results concerning the recovery of the solution as well as simulation experiments, which verify the comparative advantages of the new technique, are discussed.
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