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This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the dependency structure between channels. The proposed…

Statistics Theory · Mathematics 2024-06-11 Frédéric Chazal , Martin Royer , Clément Levrard

Hotspot detection aims at identifying subgroups in the observations that are unexpected, with respect to the some baseline information. For instance, in disease surveillance, the purpose is to detect sub-regions in spatiotemporal space,…

Artificial Intelligence · Computer Science 2014-09-23 Hadi Fanaee-T , João Gama

Hacking and false data injection from adversaries can threaten power grids' everyday operations and cause significant economic loss. Anomaly detection in power grids aims to detect and discriminate anomalies caused by cyber attacks against…

Machine Learning · Computer Science 2023-03-14 Xijuan Sun , Di Wu , Arnaud Zinflou , Benoit Boulet

In this paper, we propose a method for real-time anomaly detection and localization in crowded scenes. Each video is defined as a set of non-overlapping cubic patches, and is described using two local and global descriptors. These…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Mohammad Sabokrou , Mahmood Fathy , Mojtaba Hosseini , Reinhard Klette

A classical approach to abnormal activity detection is to learn a representation for normal activities from the training data and then use this learned representation to detect abnormal activities while testing. Typically, the methods based…

Computer Vision and Pattern Recognition · Computer Science 2019-08-14 Royston Rodrigues , Neha Bhargava , Rajbabu Velmurugan , Subhasis Chaudhuri

The spatial scan statistic is widely used to detect disease clusters in epidemiological surveillance. Since the seminal work by~\cite{kulldorff1997}, numerous extensions have emerged, including methods for defining scan regions, detecting…

Methodology · Statistics 2025-02-11 Takayuki Kawashima , Daisuke Yoneoka , Yuta Tanoue , Akifumi Eguchi , Shuhei Nomura

We introduce a novel, practically relevant variation of the anomaly detection problem in multi-variate time series: intrinsic anomaly detection. It appears in diverse practical scenarios ranging from DevOps to IoT, where we want to…

We propose an efficient statistical method (denoted as SSR-Tensor) to robustly and quickly detect hot-spots that are sparse and temporal-consistent in a spatial-temporal dataset through the tensor decomposition. Our main idea is first to…

Applications · Statistics 2020-05-18 Yujie Zhao , Hao Yan , Sarah Holte , Yajun Mei

Many types of anomaly detection methods have been proposed recently, and applied to a wide variety of fields including medical screening and production quality checking. Some methods have utilized images, and, in some cases, a part of the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-08 Minori Narita , Daiki Kimura , Ryuki Tachibana

There has been a growing interest in anomaly detection problems recently, whilst their focuses are mostly on anomalies taking place on the time index. In this work, we investigate a new anomaly-in-mean problem in multidimensional spatial…

Methodology · Statistics 2025-10-29 Baiyu Wang , Chao Zheng

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

Anomaly detection is defined as the problem of finding data points that do not follow the patterns of the majority. Among the various proposed methods for solving this problem, classification-based methods, including one-class Support…

Optimization and Control · Mathematics 2023-12-05 Amir Hossein Noormohammadia , Seyed Ali MirHassania , Farnaz Hooshmand Khaligh

We propose a method that performs anomaly detection and localisation within heterogeneous data using a pairwise undirected mixed graphical model. The data are a mixture of categorical and quantitative variables, and the model is learned…

Machine Learning · Statistics 2016-07-21 Romain Laby , François Roueff , Alexandre Gramfort

Anomalies in time-series provide insights of critical scenarios across a range of industries, from banking and aerospace to information technology, security, and medicine. However, identifying anomalies in time-series data is particularly…

Machine Learning · Computer Science 2022-08-31 Wadie Skaf , Tomáš Horváth

One of the contemporary challenges in anomaly detection is the ability to detect, and differentiate between, both point and collective anomalies within a data sequence or time series. The anomaly package has been developed to provide users…

Applications · Statistics 2024-01-30 Alex Fisch , Daniel Grose , Idris A. Eckley , Paul Fearnhead , Lawrence Bardwell

This paper proposes to use set features for detecting anomalies in samples that consist of unusual combinations of normal elements. Many leading methods discover anomalies by detecting an unusual part of a sample. For example,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Niv Cohen , Issar Tzachor , Yedid Hoshen

We consider the problem of detecting anomalies in the directional distribution of fibre materials observed in 3D images. We divide the image into a set of scanning windows and classify them into two clusters: homogeneous material and…

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

We propose an anomaly detection method for multi-variate scientific data based on analysis of high-order joint moments. Using kurtosis as a reliable measure of outliers, we suggest that principal kurtosis vectors, by analogy to principal…

Computational Physics · Physics 2019-05-01 Konduri Aditya , Hemanth Kolla , W. Philip Kegelmeyer , Timothy M. Shead , Julia Ling , Warren L. Davis

Anomaly detection in time-series has a wide range of practical applications. While numerous anomaly detection methods have been proposed in the literature, a recent survey concluded that no single method is the most accurate across various…

Machine Learning · Computer Science 2023-03-14 Mononito Goswami , Cristian Challu , Laurent Callot , Lenon Minorics , Andrey Kan
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