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We propose a non-parametric anomaly detection algorithm for high dimensional data. We score each datapoint by its average $K$-NN distance, and rank them accordingly. We then train limited complexity models to imitate these scores based on…

Machine Learning · Computer Science 2015-02-09 Jing Qian , Jonathan Root , Venkatesh Saligrama

Kernel methods augmented with random features give scalable algorithms for learning from big data. But it has been computationally hard to sample random features according to a probability distribution that is optimized for the data, so as…

Quantum Physics · Physics 2021-11-02 Hayata Yamasaki , Sathyawageeswar Subramanian , Sho Sonoda , Masato Koashi

This article provides a thorough meta-analysis of the anomaly detection problem. To accomplish this we first identify approaches to benchmarking anomaly detection algorithms across the literature and produce a large corpus of anomaly…

Artificial Intelligence · Computer Science 2016-08-29 Andrew Emmott , Shubhomoy Das , Thomas Dietterich , Alan Fern , Weng-Keen Wong

Anomaly Detection (AD) defines the task of identifying observations or events that deviate from typical - or normal - patterns, a critical capability in IT security for recognizing incidents such as system misconfigurations, malware…

As the number of heterogenous IP-connected devices and traffic volume increase, so does the potential for security breaches. The undetected exploitation of these breaches can bring severe cybersecurity and privacy risks. Anomaly-based…

Machine Learning · Computer Science 2022-12-15 Willian T. Lunardi , Martin Andreoni Lopez , Jean-Pierre Giacalone

Anomaly detection is the process of identifying atypical data samples that significantly deviate from the majority of the dataset. In the realm of clinical screening and diagnosis, detecting abnormalities in medical images holds great…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Xianyao Hu , Congming Jin

In contexts where relevant problems can easily attain configuration spaces of enormous sizes, solving Linear Differential Equations (LDEs) can become a hard achievement for classical computers; on the other hand, the rise of quantum…

Quantum Physics · Physics 2023-01-31 João H. Romeiro , Frederico Brito

Nondominated sorting, also called Pareto Depth Analysis (PDA), is widely used in multi-objective optimization and has recently found important applications in multi-criteria anomaly detection. Recently, a partial differential equation (PDE)…

Machine Learning · Computer Science 2018-04-17 Bilal Abbasi , Jeff Calder , Adam M. Oberman

Given a long list of anomaly detection algorithms developed in the last few decades, how do they perform with regard to (i) varying levels of supervision, (ii) different types of anomalies, and (iii) noisy and corrupted data? In this work,…

Machine Learning · Computer Science 2022-09-20 Songqiao Han , Xiyang Hu , Hailiang Huang , Mingqi Jiang , Yue Zhao

Most problems in uncertainty quantification, despite its ubiquitousness in scientific computing, applied mathematics and data science, remain formidable on a classical computer. For uncertainties that arise in partial differential equations…

Quantum Physics · Physics 2022-09-29 Francois Golse , Shi Jin , Nana Liu

The ongoing quest to discover new phenomena at the LHC necessitates the continuous development of algorithms and technologies. Established approaches like machine learning, along with emerging technologies such as quantum computing show…

Advanced Persistent Threats (APTs) present a considerable challenge to cybersecurity due to their stealthy, long-duration nature. Traditional supervised learning methods typically require large amounts of labeled data, which is often scarce…

Cryptography and Security · Computer Science 2025-09-08 Sidahmed Benabderrahmane , Talal Rahwan

Advanced Persistent Threats (APTs) pose a major cybersecurity challenge due to their stealth and ability to mimic normal system behavior, making detection particularly difficult in highly imbalanced datasets. Traditional anomaly detection…

Cryptography and Security · Computer Science 2025-02-14 Sidahmed Benabderrahmane , Petko Valtchev , James Cheney , Talal Rahwan

We apply several machine learning algorithms to the problem of anomaly detection in operational data for large-scale, high-voltage electric power grids. We observe important differences in the performance of the algorithms. Neural networks…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Marc Gillioz , Guillaume Dubuis , Étienne Voutaz , Philippe Jacquod

Quantum amplitude amplification and estimation have shown quadratic speedups to unstructured search and estimation tasks. We show that a coherent combination of these quantum algorithms also provides a quadratic speedup to calculating the…

Quantum Physics · Physics 2024-12-03 Caleb Rotello

Most current anomaly detection methods suffer from the curse of dimensionality when dealing with high-dimensional data. We propose an anomaly detection algorithm that can scale to high-dimensional data using concepts from the theory of…

Machine Learning · Computer Science 2021-09-29 Sreelekha Guggilam , Varun Chandola , Abani Patra

Anomaly detection (AD) is essential in identifying rare and often critical events in complex systems, finding applications in fields such as network intrusion detection, financial fraud detection, and fault detection in infrastructure and…

Machine Learning · Computer Science 2024-06-12 Hao Dong , Gaëtan Frusque , Yue Zhao , Eleni Chatzi , Olga Fink

Anomaly detection is facing with emerging challenges in many important industry domains, such as cyber security and online recommendation and advertising. The recent trend in these areas calls for anomaly detection on time-evolving data…

Machine Learning · Computer Science 2019-07-16 Zheng Gao , Lin Guo , Chi Ma , Xiao Ma , Kai Sun , Hang Xiang , Xiaoqiang Zhu , Hongsong Li , Xiaozhong Liu

Advanced Persistent Threats (APTs) pose a significant challenge in cybersecurity due to their stealthy and long-term nature. Modern supervised learning methods require extensive labeled data, which is often scarce in real-world…

Machine Learning · Computer Science 2025-11-26 Sidahmed Benabderrahmane , James Cheney , Talal Rahwan

Quantum computing has a potential to accelerate the data processing efficiency, especially in machine learning, by exploiting special features such as the quantum interference. The major challenge in this application is that, in general,…