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Due to the skessed distribution, high peak and thick tail and asymmetry of financial return data, it is difficult to describe the traditional distribution. In recent years, generalized autoregressive score (GAS) has been used in many fields…

Risk Management · Quantitative Finance 2020-10-14 Hong Shaopeng

In crowded scenes, detection and localization of abnormal behaviors is challenging in that high-density people make object segmentation and tracking extremely difficult. We associate the optical flows of multiple frames to capture…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Xinfeng Zhang , Su Yang , Xinjian Zhang , Weishan Zhang , Jiulong Zhang

Anomalies in time-series data give essential and often actionable information in many applications. In this paper we consider a model-free anomaly detection method for univariate time-series which adapts to non-stationarity in the data…

Machine Learning · Statistics 2017-06-13 Vladislav Ishimtsev , Ivan Nazarov , Alexander Bernstein , Evgeny Burnaev

A major concern when dealing with financial time series involving a wide variety ofmarket risk factors is the presence of anomalies. These induce a miscalibration of the models used toquantify and manage risk, resulting in potential…

Statistical Finance · Quantitative Finance 2022-10-26 Stéphane Crépey , Lehdili Noureddine , Nisrine Madhar , Maud Thomas

Linear models that contain a time-dependent response and explanatory variables have attracted much interest in recent years. The most general form of the existing approaches is of a linear regression model with autoregressive moving average…

Methodology · Statistics 2021-02-15 Hamed Haselimashhadi , Veronica Vinciotti

Subsequence-based time series classification algorithms provide accurate and interpretable models, but training these models is extremely computation intensive. The asymptotic time complexity of subsequence-based algorithms remains a…

Machine Learning · Computer Science 2021-02-18 Atif Raza , Stefan Kramer

Anomaly localization in images -- identifying regions that deviate from normal patterns -- is vital in applications such as medical diagnosis and industrial inspection. A recent trend is the use of image generation models in anomaly…

Machine Learning · Statistics 2026-04-28 Teruyuki Katsuoka , Tomohiro Shiraishi , Daiki Miwa , Vo Nguyen Le Duy , Ichiro Takeuchi

Automatically detecting anomalies in event data can provide substantial value in domains such as healthcare, DevOps, and information security. In this paper, we frame the problem of detecting anomalous continuous-time event sequences as…

Machine Learning · Computer Science 2021-12-20 Oleksandr Shchur , Ali Caner Türkmen , Tim Januschowski , Jan Gasthaus , Stephan Günnemann

The increasing complexity and scale of telecommunication networks have led to a growing interest in automated anomaly detection systems. However, the classification of anomalies detected on network Key Performance Indicators (KPI) has…

Machine Learning · Computer Science 2023-09-01 Korantin Bordeau-Aubert , Justin Whatley , Sylvain Nadeau , Tristan Glatard , Brigitte Jaumard

For time series data observed at non-random and possibly non-equidistant time points, we estimate the trend function nonparametrically. Under the assumption of a bounded total variation of the function and low-order moment conditions on the…

Statistics Theory · Mathematics 2025-02-13 Michael H. Neumann , Anne Leucht

Datasets with extreme observations and/or heavy-tailed error distributions are commonly encountered and should be analyzed with careful consideration of these features from a statistical perspective. Small deviations from an assumed model,…

Methodology · Statistics 2023-01-12 Meadhbh O'Neill , Kevin Burke

We introduce a novel technique to find the asymptotic time behaviour of deterministic systems exhibiting anomalous diffusion. The procedure is tested for various classes of simple but physically relevant 1-D maps and possible relevance of…

chao-dyn · Physics 2009-10-22 Roberto Artuso , Giulio Casati , Roberto Lombardi

In this article, we suggest a novel non-supervised partition based anomaly detection method for anomaly detection in multivariate time series called PARADISE. This methodology creates a partition of the variables of the time series while…

Machine Learning · Computer Science 2025-10-01 Pierre Lotte , André Péninou , Olivier Teste

This paper considers an anomaly detection problem in which a detection algorithm assigns anomaly scores to multi-dimensional data points, such as cellular networks' Key Performance Indicators (KPIs). We propose an optimization framework to…

Information Theory · Computer Science 2023-09-01 Ali Maatouk , Fadhel Ayed , Wenjie Li , Yu Wang , Hong Zhu , Jiantao Ye

Anomaly detection is a widely studied task for a broad variety of data types; among them, multiple time series appear frequently in applications, including for example, power grids and traffic networks. Detecting anomalies for multiple time…

Machine Learning · Computer Science 2022-05-10 Enyan Dai , Jie Chen

Video anomaly detection under video-level labels is currently a challenging task. Previous works have made progresses on discriminating whether a video sequencecontains anomalies. However, most of them fail to accurately localize the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-15 Hui Lv , Chuanwei Zhou , Chunyan Xu , Zhen Cui , Jian Yang

Time series anomaly detection (TSAD) is a vital yet challenging task, particularly in scenarios where labeled anomalies are scarce and temporal dependencies are complex. Recent anomaly assumption (AA) approaches alleviate the lack of…

Machine Learning · Computer Science 2025-09-09 Xudong Mou , Rui Wang , Tiejun Wang , Renyu Yang , Shiru Chen , Jie Sun , Tianyu Wo , Xudong Liu

Time series anomaly detection is an important process for system monitoring and model switching, among other applications in cyber-physical systems. In this document, we present a fast subspace method for time series anomaly detection, with…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Fredy Vides , Esteban Segura , Carlos Vargas-Agüero

Given a multivariate big time series, can we detect anomalies as soon as they occur? Many existing works detect anomalies by learning how much a time series deviates away from what it should be in the reconstruction framework. However, most…

Machine Learning · Computer Science 2022-04-19 Quan Ding , Shenghua Liu , Bin Zhou , Huawei Shen , Xueqi Cheng

Catalogs of periodic variable stars contain large numbers of periodic light-curves (photometric time series data from the astrophysics domain). Separating anomalous objects from well-known classes is an important step towards the discovery…

Machine Learning · Computer Science 2009-06-19 Umaa Rebbapragada , Pavlos Protopapas , Carla E. Brodley , Charles Alcock