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LEAN-DMKDE: Quantum Latent Density Estimation for Anomaly Detection

2022/11/15 by Gallego-Mejia, Joseph, Bustos-Brinez, Oscar, González, Fabio A. · 1 citation
#Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Quantum Physics (quant-ph) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.2211.08525

Abstract

This paper presents an anomaly detection model that combines the strong statistical foundation of density-estimation-based anomaly detection methods with the representation-learning ability of deep-learning models. The method combines an autoencoder, for learning a low-dimensional representation of the data, with a density-estimation model based on random Fourier features and density matrices in an end-to-end architecture that can be trained using gradient-based optimization techniques. The method predicts a degree of normality for new samples based on the estimated density. A systematic experimental evaluation was performed on different benchmark datasets. The experimental results show that the method performs on par with or outperforms other state-of-the-art methods.

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