A new robust model-free feature screening method for ultra-high dimensional right censored data

Author(s):  
Yi Liu ◽  
Xiaolin Chen
2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Jae Keun Yoo

Abstract Sufficient dimension reduction (SDR) for a regression pursue a replacement of the original p-dimensional predictors with its lower-dimensional linear projection. The so-called sliced inverse regression (SIR; [5]) arguably has the longest history in SDR methodologies, but it is still one of the most popular one. The SIR is known to be easily affected by the number of slices, which is one of its critical deficits. Recently, a fused approach for SIR is proposed to relieve this weakness, which fuses the kernel matrices computed by the SIR application from various numbers of slices. In the paper, the fused SIR is applied to a large-p-small n regression of a high-dimensional microarray right-censored data to show its practical advantage over usual SIR application. Through model validation, it is confirmed that the fused SIR outperforms the SIR with any number of slices under consideration.


2019 ◽  
Vol 90 (3) ◽  
pp. 550-569 ◽  
Author(s):  
Peng Lai ◽  
Yuanxing Chen ◽  
Jie Zhang ◽  
Bingying Dai ◽  
Qingzhao Zhang

Entropy ◽  
2020 ◽  
Vol 22 (3) ◽  
pp. 335 ◽  
Author(s):  
Gaizhen Wang ◽  
Guoyu Guan

In this study, we propose a novel model-free feature screening method for ultrahigh dimensional binary features of binary classification, called weighted mean squared deviation (WMSD). Compared to Chi-square statistic and mutual information, WMSD provides more opportunities to the binary features with probabilities near 0.5. In addition, the asymptotic properties of the proposed method are theoretically investigated under the assumption log p = o ( n ) . The number of features is practically selected by a Pearson correlation coefficient method according to the property of power-law distribution. Lastly, an empirical study of Chinese text classification illustrates that the proposed method performs well when the dimension of selected features is relatively small.


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