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arXiv 2401.07488cs.LG
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通过最大化类条件分布间距离进行特征选择

Feature Selection via Maximizing Distances between Class Conditional Distributions

Chunxu Cao, Qiang Zhang

AI总结:

本文提出基于积分概率度量的特征选择框架,通过最大化类条件分布间距离直接挖掘判别信息,并在多个真实数据集上验证其在分类精度和鲁棒性上优于现有方法。

摘要:

对于许多数据密集型任务,特征选择是一个重要的预处理步骤。然而,大多数现有方法并未直接且直观地探索特征内在的判别信息。我们提出了一种新的特征选择框架,该框架基于类条件分布之间的距离,并通过积分概率度量(IPMs)来衡量。我们的框架在监督分类中从分布的角度直接探索特征的判别信息。我们分析了IPMs在特征选择中的理论和实践方面,构建了基于IPMs的准则。我们基于1-Wasserstein距离提出了该框架的几种变体特征选择方法,并在来自不同领域的真实数据集上进行了实现。实验结果表明,我们的框架在分类准确性和对扰动的鲁棒性方面能够优于最先进的方法。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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