Title
On the Adversarial Robustness of Feature Selection Using LASSO
Abstract
In this paper, we investigate the adversarial robustness of feature selection based on the ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> regularized linear regression method, named LASSO. In the considered problem, there is an adversary who can observe the whole data set. After seeing the data, the adversary will carefully modify the response values and the feature matrix in order to manipulate the selected features. We formulate this problem as a bi-level optimization problem and cast the ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> regularized linear regression problem as a linear inequality constrained quadratic programming problem to mitigate the issue caused by non-differentiability of the ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> norm. We then use the projected gradient descent to design the modification strategy. Numerical examples based on synthetic data and real data both indicate that the feature selection is very vulnerable to this kind of attacks.
Year
DOI
Venue
2020
10.1109/MLSP49062.2020.9231631
2020 IEEE 30th International Workshop on Machine Learning for Signal Processing (MLSP)
Keywords
DocType
ISSN
Linear regression,sparse learning,LASSO,adversarial machine learning,bi-level optimization
Conference
1551-2541
ISBN
Citations 
PageRank 
978-1-7281-6663-6
0
0.34
References 
Authors
4
3
Name
Order
Citations
PageRank
Fuwei Li1243.14
Lifeng Lai22289167.78
Shuguang Cui352154.46