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This work analyzes singular-value spectra of weight matrices in pretrained transformer models to understand how information is stored at both ends of the spectrum. Using Random Matrix Theory (RMT) as a zero information hypothesis, we…

Machine Learning · Computer Science 2025-11-07 Max Staats , Matthias Thamm , Bernd Rosenow

Results on the spectral behavior of random matrices as the dimension increases are applied to the problem of detecting the number of sources impinging on an array of sensors. A common strategy to solve this problem is to estimate the…

Statistics Theory · Mathematics 2022-12-09 J. W. Silverstein , P. L. Combettes

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

Anomaly detection with convolutional autoencoders is a popular method to search for new physics in a model-agnostic manner. These techniques are powerful, but they are still a "black box," since we do not know what high-level physical…

High Energy Physics - Phenomenology · Physics 2022-09-13 Layne Bradshaw , Spencer Chang , Bryan Ostdiek

Supervisory Control and Data Acquisition (SCADA) systems often serve as the nervous system for substations within power grids. These systems facilitate real-time monitoring, data acquisition, control of equipment, and ensure smooth and…

Machine Learning · Computer Science 2023-10-16 Alexander Most , Maksim Eren , Nigel Lawrence , Boian Alexandrov

A novel approach is suggested for improving the accuracy of fault detection in distribution networks. This technique combines adaptive probability learning and waveform decomposition to optimize the similarity of features. Its objective is…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Xinliang Ma , Weihua Liu , Bingying Jin

The purpose of this article is to extend the notion of statistical depth to the case of sample paths of a Markov chain. Initially introduced to define a center-outward ordering of points in the support of a multivariate distribution, depth…

Statistics Theory · Mathematics 2025-02-27 Carlos Fernández , Stephan Clémençon

IoT systems have been facing increasingly sophisticated technical problems due to the growing complexity of these systems and their fast deployment practices. Consequently, IoT managers have to judiciously detect failures (anomalies) in…

Machine Learning · Computer Science 2021-02-12 Mustafa Abdallah , Wo Jae Lee , Nithin Raghunathan , Charilaos Mousoulis , John W. Sutherland , Saurabh Bagchi

In this paper we propose novel randomized subspace methods to detect anomalies in Internet Protocol networks. Given a data matrix containing information about network traffic, the proposed approaches perform a normal-plus-anomalous matrix…

Information Theory · Computer Science 2017-04-20 M. Kaloorazi , R. C. de Lamare

A cornerstone of the smart grid is the advanced monitorability on its assets and operations. Increasingly pervasive installation of the phasor measurement units (PMUs) allows the so-called synchrophasor measurements to be taken roughly 100…

Applications · Statistics 2017-08-17 Robert Qiu , Lei Chu , Xing He , Zenan Ling , Haichun Liu

Anomaly detection is the task of detecting data which differs from the normal behaviour of a system in a given context. In order to approach this problem, data-driven models can be learned to predict current or future observations.…

Machine Learning · Computer Science 2020-10-30 Benedikt Eiteneuer , Oliver Niggemann

Model-based analysis tools, built on assumptions and simplifications, are difficult to handle smart grids with data characterized by 4Vs data. This paper, using random matrix theory (RMT), motivates data-driven tools to perceive the complex…

Methodology · Statistics 2017-07-20 X. He , Q. Ai , C. Qiu , W. Huang , L. Piao , H. Liu

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

This paper presents a simple yet effective method for anomaly detection. The main idea is to learn small perturbations to perturb normal data and learn a classifier to classify the normal data and the perturbed data into two different…

Machine Learning · Computer Science 2023-02-07 Jinyu Cai , Jicong Fan

When neural networks process images which do not resemble the distribution seen during training, so called out-of-distribution images, they often make wrong predictions, and do so too confidently. The capability to detect…

Computer Vision and Pattern Recognition · Computer Science 2018-12-13 Marc Masana , Idoia Ruiz , Joan Serrat , Joost van de Weijer , Antonio M. Lopez

Standard methods for anomaly detection assume that all features are observed at both learning time and prediction time. Such methods cannot process data containing missing values. This paper studies five strategies for handling missing…

Machine Learning · Computer Science 2018-09-06 Thomas G. Dietterich , Tadesse Zemicheal

This study presents two models to optimize pressure management in water distribution networks. The first model forecasts pressure at distribution points and compares predictions with actual data to detect anomalies such as leaks and…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Tran Dang Khoa

An important tool grid operators use to safeguard against failures, whether naturally occurring or malicious, involves detecting anomalies in the power system SCADA data. In this paper, we aim to solve a real-time anomaly detection problem.…

Machine Learning · Computer Science 2024-04-12 SangWoo Park , Amritanshu Pandey

Timely and accurate detection of anomalies in power electronics is becoming increasingly critical for maintaining complex production systems. Robust and explainable strategies help decrease system downtime and preempt or mitigate…

In the digitization of energy systems, sensors and smart meters are increasingly being used to monitor production, operation and demand. Detection of anomalies based on smart meter data is crucial to identify potential risks and unusual…

Signal Processing · Electrical Eng. & Systems 2022-06-16 Wenjing Dai , Xiufeng Liu , Alfred Heller , Per Sieverts Nielsen