Quantum algorithms for anomaly detection using amplitude estimation

Mingchao Guo, Hailing Liu, Yongmei Li, Wenmin Li, Fei Gao, Sujuan Qin and Qiaoyan Wen

Physica A: Statistical Mechanics and its Applications, 2022, vol. 604, issue C

Abstract: Anomaly detection, as an important branch of machine learning, plays a critical role in fraud detection, health care, intrusion detection, military surveillance, etc. An anomaly detection algorithm based on density estimation (called ADDE algorithm) is one of the widely used algorithms. However, the ADDE algorithm is computationally expensive when processing big data sets. To solve this problem, in this paper, we propose an efficient quantum ADDE algorithm based on amplitude estimation. It is shown that our algorithm achieves exponential speedup on the number of training data points M over its classical counterpart. Besides, the idea of our algorithm can be applied to accelerate the anomaly detection algorithm based on kernel principal component analysis (called ADKPCA algorithm), which also has a wide range of applications. Our algorithm shows exponential speedup on M compared with its classical counterpart.

Keywords: Anomaly detection; Machine learning; Quantum algorithm; Exponential speedup (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437122005957
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005957

DOI: 10.1016/j.physa.2022.127936

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().