Joint Subspace Learning and Sparse Regression for Feature Selection in Kernel Space

Author(s):  
Long Chen ◽  
Zhi Zhong
2016 ◽  
Vol 112 ◽  
pp. 152-165 ◽  
Author(s):  
Ronghua Shang ◽  
Wenbing Wang ◽  
Rustam Stolkin ◽  
Licheng Jiao

2014 ◽  
Vol 44 (6) ◽  
pp. 793-804 ◽  
Author(s):  
Chenping Hou ◽  
Feiping Nie ◽  
Xuelong Li ◽  
Dongyun Yi ◽  
Yi Wu

2018 ◽  
Vol 48 (2) ◽  
pp. 793-806 ◽  
Author(s):  
Ronghua Shang ◽  
Wenbing Wang ◽  
Rustam Stolkin ◽  
Licheng Jiao

2020 ◽  
Vol 121 ◽  
pp. 441-451 ◽  
Author(s):  
Imran Razzak ◽  
Raghib Abu Saris ◽  
Michael Blumenstein ◽  
Guandong Xu

2015 ◽  
Vol 48 (1) ◽  
pp. 10-19 ◽  
Author(s):  
Shiping Wang ◽  
Witold Pedrycz ◽  
Qingxin Zhu ◽  
William Zhu

2020 ◽  
Vol 34 (03) ◽  
pp. 2408-2415
Author(s):  
Chao Qian ◽  
Chao Bian ◽  
Chao Feng

Subset selection, i.e., to select a limited number of items optimizing some given objective function, is a fundamental problem with various applications such as unsupervised feature selection and sparse regression. By employing a multi-objective evolutionary algorithm (EA) with mutation only to optimize the given objective function and minimize the number of selected items simultaneously, the recently proposed POSS algorithm achieves state-of-the-art performance for subset selection. In this paper, we propose the PORSS algorithm by incorporating recombination, a characterizing feature of EAs, into POSS. We prove that PORSS can achieve the optimal polynomial-time approximation guarantee as POSS when the objective function is monotone, and can find an optimal solution efficiently in some cases whereas POSS cannot. Extensive experiments on unsupervised feature selection and sparse regression show the superiority of PORSS over POSS. Our analysis also theoretically discloses that recombination from diverse solutions can be more likely than mutation alone to generate various variations, thereby leading to better exploration; this may be of independent interest for understanding the influence of recombination.


2016 ◽  
Vol 47 (1-2) ◽  
pp. 17-31 ◽  
Author(s):  
Ireneusz Czarnowski ◽  
Piotr Jędrzejowicz

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