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本文引用的文献

1
Estimating sparse Volterra models using group L1-regularization.
Annu Int Conf IEEE Eng Med Biol Soc. 2010;2010:4128-31. doi: 10.1109/IEMBS.2010.5627319.
2
An empirical Bayes method for estimating epistatic effects of quantitative trait loci.一种用于估计数量性状基因座上位性效应的经验贝叶斯方法。
Biometrics. 2007 Jun;63(2):513-21. doi: 10.1111/j.1541-0420.2006.00711.x.

稀疏Volterra系统的识别:一种近似正交匹配追踪方法。

Identification of Sparse Volterra Systems: An Almost Orthogonal Matching Pursuit Approach.

作者信息

Cheng Changming, Bai Er-Wei, Peng Zhike

机构信息

State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai, China.

Dept. of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa 52242.

出版信息

IEEE Trans Automat Contr. 2022 Apr;67(4):2027-2032. doi: 10.1109/tac.2021.3070027. Epub 2021 Mar 31.

DOI:10.1109/tac.2021.3070027
PMID:35480236
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9038084/
Abstract

This paper considers identification of sparse Volterra systems. A method based on the almost orthogonal matching pursuit (AOMP) is proposed. The AOMP algorithm allows one to estimate one non-zero coefficient at a time until all non-zero coefficients are found without losing the optimality and the sparsity, thus avoiding the curse of dimensionality often encountered in Volterra system identification.

摘要

本文考虑稀疏Volterra系统的辨识问题。提出了一种基于近似正交匹配追踪(AOMP)的方法。AOMP算法允许每次估计一个非零系数,直到找到所有非零系数,同时不损失最优性和稀疏性,从而避免了Volterra系统辨识中经常遇到的维数灾难。