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We address an anomaly detection setting in which training sequences are unavailable and anomalies are scored independently of temporal ordering. Current algorithms in anomaly detection are based on the classical density estimation approach…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Allison Del Giorno , J. Andrew Bagnell , Martial Hebert

When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory. In order to capture the different diffusive modes assembled…

Statistical Mechanics · Physics 2024-10-21 Henrik Seckler , Ralf Metzler

Extreme value statistics provides accurate estimates for the small occurrence probabilities of rare events. While theory and statistical tools for univariate extremes are well-developed, methods for high-dimensional and complex data sets…

Methodology · Statistics 2021-01-06 Sebastian Engelke , Jevgenijs Ivanovs

Time series anomaly detection has been recognized as of critical importance for the reliable and efficient operation of real-world systems. Many anomaly detection methods have been developed based on various assumptions on anomaly…

Machine Learning · Computer Science 2022-07-28 Jiuqi Elise Zhang , Di Wu , Benoit Boulet

Causal effect estimation seeks to determine the impact of an intervention from observational data. However, the existing causal inference literature primarily addresses treatment effects on frequently occurring events. But what if we are…

Machine Learning · Statistics 2025-06-18 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

Anomaly detectors address the difficult problem of detecting automatically exceptions in an arbitrary background image. Detection methods have been proposed by the thousands because each problem requires a different background model. By…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Axel Davy , Thibaud Ehret , Jean-Michel Morel , Mauricio Delbracio

We investigate unsupervised anomaly detection for high-dimensional data and introduce a deep metric learning (DML) based framework. In particular, we learn a distance metric through a deep neural network. Through this metric, we project the…

Machine Learning · Computer Science 2020-05-13 Selim F. Yilmaz , Suleyman S. Kozat

Anomaly detection is the problem of recognizing abnormal inputs based on the seen examples of normal data. Despite recent advances of deep learning in recognizing image anomalies, these methods still prove incapable of handling complex…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Nina Shvetsova , Bart Bakker , Irina Fedulova , Heinrich Schulz , Dmitry V. Dylov

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

Many anomaly detection approaches, especially deep learning methods, have been recently developed to identify abnormal image morphology by only employing normal images during training. Unfortunately, many prior anomaly detection methods…

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

We develop methods, based on extreme value theory, for analysing observations in the tails of longitudinal data, i.e., a data set consisting of a large number of short time series, which are typically irregularly and non-simultaneously…

Methodology · Statistics 2025-04-10 Jess Spearing , Jonathan Tawn , David Irons , Tim Paulden

Google uses continuous streams of data from industry partners in order to deliver accurate results to users. Unexpected drops in traffic can be an indication of an underlying issue and may be an early warning that remedial action may be…

Machine Learning · Statistics 2017-08-15 Dominique T. Shipmon , Jason M. Gurevitch , Paolo M. Piselli , Stephen T. Edwards

We extend the scope of the dynamical theory of extreme values to cover phenomena that do not happen instantaneously, but evolve over a finite, albeit unknown at the onset, time interval. We consider complex dynamical systems, composed of…

Neurons and Cognition · Quantitative Biology 2020-05-20 Theophile Caby , Giorgio Mantica

Conditional extreme value models have been introduced by Heffernan and Resnick (2007) to describe the asymptotic behavior of a random vector as one specific component becomes extreme. Obviously, this class of models is related to classical…

Probability · Mathematics 2017-02-24 Holger Drees , Anja Janßen

We propose a modified density estimation problem that is highly effective for detecting anomalies in tabular data. Our approach assumes that the density function is relatively stable (with lower variance) around normal samples. We have…

Machine Learning · Computer Science 2024-05-09 Amit Rozner , Barak Battash , Henry Li , Lior Wolf , Ofir Lindenbaum

We present the methods employed by team `Uniofbathtopia' as part of the Data Challenge organised for the 13th International Conference on Extreme Value Analysis (EVA2023), including our winning entry for the third sub-challenge. Our…

Methodology · Statistics 2023-12-22 Henry Elsom , Matthew Pawley

Aleatoric and Epistemic uncertainty have achieved recent attention in the literature as different sources from which uncertainty can emerge in stochastic modeling. Epistemic being intrinsic or model based notions of uncertainty, and…

Methodology · Statistics 2025-08-15 Ryan Warnick

The increasing automation in many areas of the Industry expressly demands to design efficient machine-learning solutions for the detection of abnormal events. With the ubiquitous deployment of sensors monitoring nearly continuously the…

In multivariate extreme value theory (MEVT), the focus is on analysis outside of the observable sampling zone, which implies that the region of interest is associated to high risk levels. This work provides tools to include directional…

Applications · Statistics 2018-12-05 Raúl Torres , Elena Di Bernardino , Henry Laniado , Rosa E. Lillo
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