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Related papers: Anomaly Detection by Robust Statistics

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Anomaly detection is a branch of data analysis and machine learning which aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Machine Learning · Statistics 2024-07-11 Pavlo Mozharovskyi , Romain Valla

Regression is the workhorse of statistics, and is often faced with real data that contain outliers. When these are casewise outliers, that is, cases that are entirely wrong or belong to a different population, the issue can be remedied by…

Methodology · Statistics 2026-03-06 Jakob Raymaekers , Peter J. Rousseeuw

Dynamic factor models have a wide range of applications in econometrics and applied economics. The basic motivation resides in their capability of reducing a large set of time series to only few indicators (factors). If the number of time…

Statistics Theory · Mathematics 2009-09-29 Roberto Baragona , Francesco Battaglia

Various technologies, including computer vision models, are employed for the automatic monitoring of manual assembly processes in production. These models detect and classify events such as the presence of components in an assembly area or…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Anton Sergeev , Victor Minchenkov , Aleksei Soldatov , Vasiliy Kakurin , Yaroslav Mazikov

The combination of the Internet of Things and the Edge Computing gives many opportunities to support innovative applications close to end users. Numerous devices present in both infrastructures can collect data upon which various processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-02 Kostas Kolomvatsos , Christos Anagnostopoulos

The sample covariance matrix is a cornerstone of multivariate statistics, but it is highly sensitive to outliers. These can be casewise outliers, such as cases belonging to a different population, or cellwise outliers, which are deviating…

Methodology · Statistics 2025-05-27 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

Outlier detection is a major topic in robust statistics due to the high practical significance of anomalous observations. Many existing methods are, however, either parametric or cease to perform well when the data is far from linearly…

Methodology · Statistics 2018-11-14 Matias Heikkilä

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

Outlier detection refers to the identification of anomalous samples that deviate significantly from the distribution of normal data and has been extensively studied and used in a variety of practical tasks. However, most unsupervised…

Machine Learning · Computer Science 2025-01-07 Can Gao , Xiaofeng Tan , Jie Zhou , Weiping Ding , Witold Pedrycz

Cellwise outliers are likely to occur together with casewise outliers in modern data sets with relatively large dimension. Recent work has shown that traditional robust regression methods may fail for data sets in this paradigm. The…

Statistics Theory · Mathematics 2016-12-28 Andy Leung , Hongyang Zhang , Ruben H. Zamar

Multi-dimensional scaling (MDS) plays a central role in data-exploration, dimensionality reduction and visualization. State-of-the-art MDS algorithms are not robust to outliers, yielding significant errors in the embedding even when only a…

Computer Vision and Pattern Recognition · Computer Science 2018-02-08 Leonid Blouvshtein , Daniel Cohen-Or

Circular variables that represent directions or periodic observations arise in many fields, such as biology and environmental sciences. An important issue when dealing with circular data is how to estimate their dispersion robustly,…

Methodology · Statistics 2026-03-03 Houyem Demni , Mia Hubert , Giovanni C. Porzio , Peter J. Rousseeuw

Outliers are ubiquitous in modern data sets. Distance-based techniques are a popular non-parametric approach to outlier detection as they require no prior assumptions on the data generating distribution and are simple to implement. Scaling…

Machine Learning · Statistics 2016-05-04 Mario Lucic , Olivier Bachem , Andreas Krause

Outlier is the term that indicates in statistics an anomalous observation, aberrant, clearly distant from others collected observations. The outliers are the subject to animated discussions in various contexts with regard to be or not to be…

Applications · Statistics 2014-03-24 Gianluca Rosso

Outlying observations can be challenging to handle and adversely affect subsequent analyses, especially in data with increasing dimensional complexity. Although outliers are not always undesired anomalies in the data and may possess…

Methodology · Statistics 2025-09-18 Anthony-Alexander Christidis , Gabriela Cohen-Freue

Outlier, or anomaly, detection is essential for optimal performance of machine learning methods and statistical predictive models. It is not just a technical step in a data cleaning process but a key topic in many fields such as fraudulent…

Machine Learning · Computer Science 2020-02-19 O. Ramos Terrades , A. Berenguel , D. Gil

Outlier detection is an inevitable step to most statistical data analyses. However, the mere detection of an outlying case does not always answer all scientific questions associated with that data point. Outlier detection techniques,…

Methodology · Statistics 2019-12-12 Michiel Debruyne , Sebastiaan Höppner , Sven Serneels , Tim Verdonck

The development of effective knowledge discovery techniques has become in the recent few years a very active research area due to the important impact it has in several relevant application areas. One interesting task thereof is that of…

Artificial Intelligence · Computer Science 2007-05-23 Fabrizio Angiulli , Gianluigi Greco , Luigi Palopoli

Multivariate location and scatter matrix estimation is a cornerstone in multivariate data analysis. We consider this problem when the data may contain independent cellwise and casewise outliers. Flat data sets with a large number of…

Statistics Theory · Mathematics 2014-06-24 Claudio Agostinelli , Andy Leung , Victor J. Yohai , Ruben H. Zamar

Data cubes are multidimensional databases, often built from several separate databases, that serve as flexible basis for data analysis. Surprisingly, outlier detection on data cubes has not yet been treated extensively. In this work, we…

Databases · Computer Science 2023-03-16 Lara Kuhlmann , Daniel Wilmes , Emmanuel Müller , Markus Pauly , Daniel Horn