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Data depth is an efficient tool for robustly summarizing the distribution of functional data and detecting potential magnitude and shape outliers. Commonly used functional data depth notions, such as the modified band depth and extremal…

Methodology · Statistics 2023-11-07 Cristian F. Jimenez-Varon , Fouzi Harrou , Ying Sun

Anomaly detection in real-world scenarios poses challenges due to dynamic and often unknown anomaly distributions, requiring robust methods that operate under an open-world assumption. This challenge is exacerbated in practical settings,…

Machine Learning · Computer Science 2024-04-24 Dayananda Herurkar , Sebastian Palacio , Ahmed Anwar , Joern Hees , Andreas Dengel

The Residual Congruent Subset (RCS) is a new method for finding outliers in the linear regression setting. Like many other outlier detection procedures, RCS searches for a subset which minimizes a criterion. The difference is that the new…

Methodology · Statistics 2014-02-18 Kaveh Vakili , Eric Schmitt

The one-class classification problem is a well-known research endeavor in pattern recognition. The problem is also known under different names, such as outlier and novelty/anomaly detection. The core of the problem consists in modeling and…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 Lorenzo Livi , Alireza Sadeghian , Witold Pedrycz

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

The quality of datasets plays a crucial role in the successful training and deployment of deep learning models. Especially in the medical field, where system performance may impact the health of patients, clean datasets are a safety…

Image and Video Processing · Electrical Eng. & Systems 2022-08-19 Stefan Röhrl , Alice Hein , Lucie Huang , Dominik Heim , Christian Klenk , Manuel Lengl , Martin Knopp , Nawal Hafez , Oliver Hayden , Klaus Diepold

Outlier detection in a large-scale database is a significant and complex issue in knowledge discovering field. As the data distributions are obscure and uncertain in high dimensional space, most existing solutions try to solve the issue…

Artificial Intelligence · Computer Science 2014-05-06 Zhana Bao

This article introduces trimmed estimators for the mean and covariance function of general functional data. The estimators are based on a new measure of outlyingness or data depth that is well defined on any metric space, although this…

Methodology · Statistics 2012-12-03 Daniel Gervini

The minimum regularized covariance determinant method (MRCD) is a robust estimator for multivariate location and scatter, which detects outliers by fitting a robust covariance matrix to the data. Its regularization ensures that the…

Machine Learning · Statistics 2024-07-08 Joachim Schreurs , Iwein Vranckx , Mia Hubert , Johan A. K. Suykens , Peter J. Rousseeuw

Identifying root causes of anomalies in causal processes is vital across disciplines. Once identified, one can isolate the root causes and implement necessary measures to restore the normal operation. Causal processes are often modelled as…

Artificial Intelligence · Computer Science 2023-12-20 Phuoc Nguyen , Truyen Tran , Sunil Gupta , Thin Nguyen , Svetha Venkatesh

This work describes an outlier detection procedure (named "OutlierTree") loosely based on the GritBot software developed by RuleQuest research, which works by evaluating and following supervised decision tree splits on variables, in whose…

Machine Learning · Statistics 2020-01-06 David Cortes

Normalizing flows are prominent deep generative models that provide tractable probability distributions and efficient density estimation. However, they are well known to fail while detecting Out-of-Distribution (OOD) inputs as they directly…

Machine Learning · Computer Science 2021-11-17 Nishant Kumar , Pia Hanfeld , Michael Hecht , Michael Bussmann , Stefan Gumhold , Nico Hoffmann

We describe a formal approach to identify 'root causes' of outliers observed in $n$ variables $X_1,\dots,X_n$ in a scenario where the causal relation between the variables is a known directed acyclic graph (DAG). To this end, we first…

Machine Learning · Statistics 2019-12-06 Dominik Janzing , Kailash Budhathoki , Lenon Minorics , Patrick Blöbaum

Universal outlier hypothesis testing is studied in a sequential setting. Multiple observation sequences are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are…

Statistics Theory · Mathematics 2014-11-27 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

The classification of multivariate functional data is an important task in scientific research. Unlike point-wise data, functional data are usually classified by their shapes rather than by their scales. We define an outlyingness matrix by…

Methodology · Statistics 2018-04-24 Wenlin Dai , Marc G. Genton

Distance-based outlier detection is widely adopted in many fields, e.g., data mining and machine learning, because it is unsupervised, can be employed in a generic metric space, and does not have any assumptions of data distributions. Data…

Databases · Computer Science 2021-10-22 Daichi Amagata , Makoto Onizuka , Takahiro Hara

The study of networks has emerged in diverse disciplines as a means of analyzing complex relationship data. Beyond graph analysis tasks like graph query processing, link analysis, influence propagation, there has recently been some work in…

Social and Information Networks · Computer Science 2017-11-15 Supriya Pandhre , Manish Gupta , Vineeth N Balasubramanian

Robust estimation of the covariance matrix and detection of outliers remain major challenges in statistical data analysis, particularly when the proportion of contaminated observations increases with the size of the dataset. Outliers can…

Methodology · Statistics 2026-01-08 Paul Guillot , Antoine Godichon-Baggioni , Stéphane Robin , Laure Sansonnet

Nonparametric regression models offer a way to understand and quantify relationships between variables without having to identify an appropriate family of possible regression functions. Although many estimation methods for these models have…

Methodology · Statistics 2023-04-07 Matias Salibian-Barrera

Wireless sensor networks usually comprise a large number of sensors monitoring changes in variables. These changes in variables represent changes in physical quantities. The changes can occur for various reasons; these reasons are…

Machine Learning · Computer Science 2017-08-29 Pelumi Oluwasanya
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