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Anomaly detection in complex dynamical systems is essential for ensuring reliability, safety, and efficiency in industrial and cyber-physical infrastructures. Predictive maintenance helps prevent costly failures, while cybersecurity…

Machine Learning · Computer Science 2025-09-25 Michael Somma , Thomas Gallien , Branka Stojanovic

Automatic log file analysis enables early detection of relevant incidents such as system failures. In particular, self-learning anomaly detection techniques capture patterns in log data and subsequently report unexpected log event…

Machine Learning · Computer Science 2023-05-16 Max Landauer , Sebastian Onder , Florian Skopik , Markus Wurzenberger

Anomaly detection in random fields is an important problem in many applications including the detection of cancerous cells in medicine, obstacles in autonomous driving and cracks in the construction material of buildings. Such anomalies are…

Statistics Theory · Mathematics 2023-11-17 Claudia Kirch , Philipp Klein , Marco Meyer

Anomaly detection for non-linear dynamical system plays an important role in ensuring the system stability. However, it is usually complex and has to be solved by large-scale simulation which requires extensive computing resources. In this…

Signal Processing · Electrical Eng. & Systems 2020-06-08 Yue Tan , Chunjing Hu , Kuan Zhang , Kan Zheng , Ethan A. Davis , Jae Sung Park

Anomaly detection is a fundamental task for time series analytics with important implications for the downstream performance of many applications. Despite increasing academic interest and the large number of methods proposed in the…

Machine Learning · Computer Science 2025-12-03 Emmanouil Sylligardos , John Paparrizos , Themis Palpanas , Pierre Senellart , Paul Boniol

Sewer pipe faults, such as leaks and blockages, can lead to severe consequences including groundwater contamination, property damage, and service disruption. Traditional inspection methods rely heavily on the manual review of CCTV footage…

Robotics · Computer Science 2025-07-31 Alex George , Will Shepherd , Simon Tait , Lyudmila Mihaylova , Sean R. Anderson

Time series data is ubiquitous in the real-world problems across various domains including healthcare, social media, and crime surveillance. Detecting anomalies, or irregular and rare events, in time series data, can enable us to find…

Machine Learning · Computer Science 2021-10-05 Abilasha S , Sahely Bhadra , Deepak P , Anish Mathew

Daily operation of a large-scale experiment is a resource consuming task, particularly from perspectives of routine data quality monitoring. Typically, data comes from different sub-detectors and the global quality of data depends on the…

Data Analysis, Statistics and Probability · Physics 2017-11-21 V. Azzolini , M. Borisyak , G. Cerminara , D. Derkach , G. Franzoni , F. De Guio , O. Koval , M. Pierini , A. Pol , F. Ratnikov , F. Siroky , A. Ustyuzhanin , J-R. Vlimant

The ordinal patterns of a fixed number of consecutive values in a time series is the spatial ordering of these values. Counting how often a specific ordinal pattern occurs in a time series provides important insights into the properties of…

Statistics Theory · Mathematics 2025-02-06 Annika Betken , Giorgio Micali , Johannes Schmidt-Hieber

Detecting anomalies in traffic scenes is crucial for ensuring safety in autonomous driving, yet collecting representative anomalous data remains challenging. Existing anomaly detection methods are highly specialized and rely on normality as…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Albert Schotschneider , Daniel Bogdoll , Svetlana Pavlitska , Ahmed Abouelazm , Johann Marius Zoellner

Anomaly detection is the process of identifying cases, or groups of cases, that are in some way unusual and do not fit the general patterns present in the dataset. Numerous algorithms use discretization of numerical data in their detection…

Databases · Computer Science 2020-08-31 Ralph Foorthuis

We consider a setting, where the output of a linear dynamical system (LDS) is, with an unknown but fixed probability, replaced by noise. There, we present a robust method for the prediction of the outputs of the LDS and identification of…

Machine Learning · Computer Science 2018-08-06 Jakub Marecek , Tigran Tchrakian

We present an end-to-end differentiable neural network architecture to perform anomaly detection in multivariate time series by incorporating a Sequential Probability Ratio Test on the prediction residual. The architecture is a cascade of…

Machine Learning · Computer Science 2022-02-28 L. Zancato , A. Achille , G. Paolini , A. Chiuso , S. Soatto

Anomaly detection is the process of identifying unexpected events or ab-normalities in data, and it has been applied in many different areas such as system monitoring, fraud detection, healthcare, intrusion detection, etc. Providing…

Machine Learning · Computer Science 2023-01-11 Ming-Chang Lee , Jia-Chun Lin , Ernst Gunnar Gran

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

We study the nonlinear inverse source problem of detecting, localizing and identifying unknown accidental disturbances on forced and damped transmission networks. A first result is that strategic observation sets are enough to guarantee…

Optimization and Control · Mathematics 2024-11-11 Jean-Guy Caputo , Adel Hamdi

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

Chaotic Dynamics · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

Root cause analysis of anomalies aims to identify how and why a sample deviates from the normal process. Existing methods primarily focus on telling which features are responsible, ignoring that anomalies can arise through two fundamentally…

Machine Learning · Computer Science 2026-05-12 Hendrik Suhr , David Kaltenpoth , Jilles Vreeken

In this paper, High-dimensional data analysis methods are proposed to deal with random matrix which is composed by the real data from power network before and after the fault. The mean spectral radius (MSR) of non-Hermitian random matrices…

Applications · Statistics 2015-03-31 Y. Cao , L. Cai , C. Qiu , J. Gu , X. He , Q. Ai , Z. Jin

At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Methodology · Statistics 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc