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Generally, anomaly detection has a great importance particularly in applied statistical signal processing. Here we provide a general framework in order to detect anomaly through the statistical modeling. In this paper, it is assumed that a…

Signal Processing · Electrical Eng. & Systems 2019-06-28 Salman Mohamadi , Farhang Yeganegi , Nasser M Nasrabadi

In a state estimator, the presence of malicious or simply corrupt sensor data or bad data is detected by the high value of normalized measurement residuals that exceeds the threshold value, determined by the $\chi^2$ distribution. However,…

Optimization and Control · Mathematics 2018-06-05 Malini Ghosal

In this paper, we study a simple correlation-based strategy for estimating the unknown delay and amplitude of a signal based on a small number of noisy, randomly chosen frequency-domain samples. We model the output of this "compressive…

Information Theory · Computer Science 2016-11-17 Armin Eftekhari , Justin Romberg , Michael B. Wakin

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

Information Theory · Computer Science 2023-06-28 Simon Ruetz

This work considers an estimation task in compressive sensing, where the goal is to estimate an unknown signal from compressive measurements that are corrupted by additive pre-measurement noise (interference, or clutter) as well as…

Machine Learning · Statistics 2013-11-25 Swayambhoo Jain , Akshay Soni , Jarvis Haupt

In a previous paper (Krumm and Vogel 2018 Phys. Rev. A 97, 043806) we presented a method to solve the nonlinear Jaynes-Cummings dynamics, describing the quantized motion of a trapped ion exactly, including detuning. Here we investigate this…

Quantum Physics · Physics 2019-06-11 Fabian Krumm , Werner Vogel

A one-dimensional quantum system with off diagonal disorder, consisting of a sample of conducting regions randomly interspersed within potential barriers is considered. Results mainly concerning the large $N$ limit are presented. In…

Disordered Systems and Neural Networks · Physics 2017-12-06 Tommaso Vanzan , Lamberto Rondoni

Lossy compression plays a growing role in scientific simulations where the cost of storing their output data can span terabytes. Using error bounded lossy compression reduces the amount of storage for each simulation; however, there is no…

Applications · Statistics 2021-11-30 David Krasowska , Julie Bessac , Robert Underwood , Jon C. Calhoun , Sheng Di , Franck Cappello

Anomaly detection is a branch of data analysis and machine learning which aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Machine Learning · Statistics 2024-07-11 Pavlo Mozharovskyi , Romain Valla

Anomaly detection, where data instances are discovered containing feature patterns different from the majority, plays a fundamental role in various applications. However, it is challenging for existing methods to handle the scenarios where…

Machine Learning · Computer Science 2023-04-24 Guanchu Wang , Ninghao Liu , Daochen Zha , Xia Hu

Anomaly detection is a longstanding and active research area that has many applications in domains such as finance, security, and manufacturing. However, the efficiency and performance of anomaly detection algorithms are challenged by the…

Machine Learning · Computer Science 2025-04-16 Yang Cao , Haolong Xiang , Hang Zhang , Ye Zhu , Kai Ming Ting

Various approaches in the field of physical layer security involve anomaly detection, such as physical layer authentication, sensing attacks, and anti-tampering solutions. Depending on the context in which these approaches are applied,…

Information Theory · Computer Science 2025-06-13 Stefan Roth , Aydin Sezgin

Understanding a complex system entails capturing the non-trivial collective phenomena that arise from interactions between its different parts. Information theory is a flexible and robust framework to study such behaviours, with several…

In the past two decades, most research on anomaly detection has focused on improving the accuracy of the detection, while largely ignoring the explainability of the corresponding methods and thus leaving the explanation of outcomes to…

Machine Learning · Computer Science 2023-07-12 Zhong Li , Yuxuan Zhu , Matthijs van Leeuwen

We introduce a novel anomaly search method based on (i) jet tagging to select interesting events, which are less likely to be produced by background processes; (ii) comparison of the untagged and tagged samples to single out features (such…

High Energy Physics - Phenomenology · Physics 2022-03-02 J. A. Aguilar-Saavedra

Performance guarantees for compression in nonlinear models under non-Gaussian observations can be achieved through the use of distributional characteristics that are sensitive to the distance to normality, and which in particular return the…

Statistics Theory · Mathematics 2017-10-03 Larry Goldstein , Xiaohan Wei

The identification of anomalies is a critical component of operating complex, and possibly large-scale and geo-graphically distributed cyber-physical systems. While designing anomaly detectors, it is common to assume Gaussian noise models…

Systems and Control · Electrical Eng. & Systems 2021-11-15 Venkatraman Renganathan , Navid Hashemi , Justin Ruths , Tyler H. Summers

Deep generative models for anomaly detection in multivariate time-series are typically trained by maximizing data likelihood. However, likelihood in observation space measures marginal density rather than conformity to structured temporal…

Artificial Intelligence · Computer Science 2026-03-13 David Baumgartner , Eliezer de Souza da Silva , Iñigo Urteaga

Existing research on sensor data anomaly detection for industrial sensor networks still has several inherent limitations. First, most detection models usually consider centralized detection. Thus, all sensor data have to be uploaded to the…

Cryptography and Security · Computer Science 2025-09-19 Tao Yang , Xuefeng Jiang , Wei Li , Peiyu Liu , Jinming Wang , Weijie Hao , Qiang Yang

Deep learning-based methods have achieved a breakthrough in image anomaly detection, but their complexity introduces a considerable challenge to understanding why an instance is predicted to be anomalous. We introduce a novel explanation…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Philipp Liznerski , Saurabh Varshneya , Ece Calikus , Puyu Wang , Alexander Bartscher , Sebastian Josef Vollmer , Sophie Fellenz , Marius Kloft