arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2408.07623cs.LGquant-phstat.ML
收藏

基于密度矩阵的潜在异常检测

Latent Anomaly Detection Through Density Matrices

MindLab;Universidad Nacional de Colombia(哥伦比亚国立大学)

Joseph Gallego-Mejia, Oscar Bustos-Brinez, Fabio A. González

AI总结:

本文提出结合密度估计统计原理与深度学习表示能力的异常检测框架,含浅层(自适应傅里叶特征+密度矩阵)和深层(自编码器)两种版本,可端到端优化,实验显示其在不同维度基准数据集上性能达到或优于现有最优方法。

摘要:

本文提出了一种新颖的异常检测框架,将基于密度估计的异常检测方法的稳健统计原理与深度学习模型的表示学习能力相结合。源自该框架的方法分为两种不同版本:一种是浅层方法,采用基于自适应傅里叶特征和密度矩阵的密度估计模型;另一种是深层方法,集成了自编码器以学习数据的低维表示。通过估计新样本的密度,两种方法均能得出正常性评分。这些方法可无缝集成到端到端架构中,并使用基于梯度的优化技术进行优化。为评估其性能,本文在多个基准数据集上开展了大量实验。结果表明,与其他现有最优(state-of-the-art)方法相比,该方法的两个版本均能达到相当或更优的性能。值得注意的是,浅层方法在维度较少的数据集上表现更优,而基于自编码器的方法在维度较高的数据集上性能更出色。

英文摘要:

This paper introduces a novel anomaly detection framework that combines the robust statistical principles of density-estimation-based anomaly detection methods with the representation-learning capabilities of deep learning models. The method originated from this framework is presented in two different versions: a shallow approach employing a density-estimation model based on adaptive Fourier features and density matrices, and a deep approach that integrates an autoencoder to learn a low-dimensional representation of the data. By estimating the density of new samples, both methods are able to find normality scores. The methods can be seamlessly integrated into an end-to-end architecture and optimized using gradient-based optimization techniques. To evaluate their performance, extensive experiments were conducted on various benchmark datasets. The results demonstrate that both versions of the method can achieve comparable or superior performance when compared to other state-of-the-art methods. Notably, the shallow approach performs better on datasets with fewer dimensions, while the autoencoder-based approach shows improved performance on datasets with higher dimensions.

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。

↑