Based on the multivariate mean-shift regression model,we propose a new sparse reduced-rank regression approach to achieve low-rank sparse estimation and outlier detection simultaneously.A sparse mean-shift matrix is i...Based on the multivariate mean-shift regression model,we propose a new sparse reduced-rank regression approach to achieve low-rank sparse estimation and outlier detection simultaneously.A sparse mean-shift matrix is introduced in the model to indicate outliers.The rank constraint and the group-lasso type penalty for the coefficient matrix encourage the low-rank row sparse structure of coefficient matrix and help to achieve dimension reduction and variable selection.An algorithm is developed for solving our problem.In our simulation and real-data application,our new method shows competitive performance compared to other methods.展开更多
文摘Based on the multivariate mean-shift regression model,we propose a new sparse reduced-rank regression approach to achieve low-rank sparse estimation and outlier detection simultaneously.A sparse mean-shift matrix is introduced in the model to indicate outliers.The rank constraint and the group-lasso type penalty for the coefficient matrix encourage the low-rank row sparse structure of coefficient matrix and help to achieve dimension reduction and variable selection.An algorithm is developed for solving our problem.In our simulation and real-data application,our new method shows competitive performance compared to other methods.
