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Feature selection for linear SVMs under uncertain data: Robust optimization based on difference of convex functions algorithms

Feature selection for linear SVMs under uncertain data: robust optimization based on difference of convex functions algorithms
Authors: Hoai An Le Thi; Xuan Thanh Vo; Tao Pham Dinh;

Feature selection for linear SVMs under uncertain data: Robust optimization based on difference of convex functions algorithms

Abstract

In this paper, we consider the problem of feature selection for linear SVMs on uncertain data that is inherently prevalent in almost all datasets. Using principles of Robust Optimization, we propose robust schemes to handle data with ellipsoidal model and box model of uncertainty. The difficulty in treating ℓ0-norm in feature selection problem is overcome by using appropriate approximations and Difference of Convex functions (DC) programming and DC Algorithms (DCA). The computational results show that the proposed robust optimization approaches are superior than a traditional approach in immunizing perturbation of the data.

Keywords

Leukemia, Support Vector Machine, DC programming, svm, Learning and adaptive systems in artificial intelligence, robust optimization, [INFO] Computer Science [cs], Microarray Analysis, Nonconvex programming, global optimization, feature selection, Data Interpretation, Statistical, Linear Models, Humans, [INFO]Computer Science [cs], dca, Weather, Algorithms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
46
Top 10%
Top 10%
Top 10%
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