Feature Selection via Maximizing Distances between Class Conditional
Distributions
- URL: http://arxiv.org/abs/2401.07488v1
- Date: Mon, 15 Jan 2024 06:10:10 GMT
- Title: Feature Selection via Maximizing Distances between Class Conditional
Distributions
- Authors: Chunxu Cao, Qiang Zhang
- Abstract summary: We propose a novel feature selection framework based on the distance between class conditional distributions, measured by integral probability metrics (IPMs)
Our framework directly explores the discriminative information of features in the sense of distributions for supervised classification.
Experimental results show that our framework can outperform state-of-the-art methods in terms of classification accuracy and robustness to perturbations.
- Score: 9.596923373834093
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: For many data-intensive tasks, feature selection is an important
preprocessing step. However, most existing methods do not directly and
intuitively explore the intrinsic discriminative information of features. We
propose a novel feature selection framework based on the distance between class
conditional distributions, measured by integral probability metrics (IPMs). Our
framework directly explores the discriminative information of features in the
sense of distributions for supervised classification. We analyze the
theoretical and practical aspects of IPMs for feature selection, construct
criteria based on IPMs. We propose several variant feature selection methods of
our framework based on the 1-Wasserstein distance and implement them on real
datasets from different domains. Experimental results show that our framework
can outperform state-of-the-art methods in terms of classification accuracy and
robustness to perturbations.
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