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This study concerns the issue of high dimensional outliers which are challenging to distinguish from inliers due to the special structure of high dimensional space. We introduce a new notion of high dimensional outliers that embraces…

Statistics Theory · Mathematics 2019-09-06 Hyo Young Choi , J. S. Marron

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

We propose a new method for the construction and visualization of boxplot-type displays for functional data. We use a recent functional data analysis framework, based on a representation of functions called square-root slope functions, to…

Applications · Statistics 2017-02-07 Weiyi Xie , Sebastian Kurtek , Karthik Bharath , Ying Sun

Outlier Detection is a critical and cardinal research task due its array of applications in variety of domains ranging from data mining, clustering, statistical analysis, fraud detection, network intrusion detection and diagnosis of…

Machine Learning · Computer Science 2018-03-15 Archit Harsh , John E. Ball , Pan Wei

Time series often contain outliers and level shifts or structural changes. These unexpected events are of the utmost importance in fraud detection, as they may pinpoint suspicious transactions. The presence of such unusual events can easily…

Computation · Statistics 2021-01-13 Peter J. Rousseeuw , Domenico Perrotta , Marco Riani , Mia Hubert

The presence of outliers is prevalent in machine learning applications and may produce misleading results. In this paper a new method for dealing with outliers and anomal samples is proposed. To overcome the outlier issue, the proposed…

Machine Learning · Computer Science 2016-07-05 Parsa Bagherzadeh , Hadi Sadoghi Yazdi

Due to the intractability of characterizing everything that looks unlike the normal data, anomaly detection (AD) is traditionally treated as an unsupervised problem utilizing only normal samples. However, it has recently been found that…

Computer Vision and Pattern Recognition · Computer Science 2023-01-29 Philipp Liznerski , Lukas Ruff , Robert A. Vandermeulen , Billy Joe Franks , Klaus-Robert Müller , Marius Kloft

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

Anomaly detection aims to detect data that do not conform to regular patterns, and such data is also called outliers. The anomalies to be detected are often tiny in proportion, containing crucial information, and are suitable for…

Machine Learning · Computer Science 2023-06-06 Fan Xu , Nan Wang , Xibin Zhao

We consider state estimation for networked systems where measurements from sensor nodes are contaminated by outliers. A new hierarchical measurement model is formulated for outlier detection by integrating the outlier-free measurement model…

Applications · Statistics 2022-11-08 Hongwei Wang , Hongbin Li , Wei Zhang , Junyi Zuo , Heping Wang , Jun Fang

Outlier detection (also known as anomaly detection or deviation detection) is a process of detecting data points in which their patterns deviate significantly from others. It is common to have outliers in industry applications, which could…

Machine Learning · Computer Science 2019-11-06 Kasra Babaei , ZhiYuan Chen , Tomas Maul

It is well-known that real data often contain outliers. The term outlier typically refers to a case, that is, a row of the $n \times d$ data matrix. In recent times a different type has come into focus, the cellwise outliers. These are…

Methodology · Statistics 2024-07-08 Jakob Raymaekers , Peter J. Rousseeuw

It is important to detect anomalous inputs when deploying machine learning systems. The use of larger and more complex inputs in deep learning magnifies the difficulty of distinguishing between anomalous and in-distribution examples. At the…

Machine Learning · Computer Science 2019-01-30 Dan Hendrycks , Mantas Mazeika , Thomas Dietterich

Outlier detection holds significant importance in the realm of data mining, particularly with the growing pervasiveness of data acquisition methods. The ability to identify outliers in data streams is essential for maintaining data quality…

Graph anomaly detection plays a vital role for identifying abnormal instances in complex networks. Despite advancements of methodology based on deep learning in recent years, existing benchmarking approaches exhibit limitations that hinder…

Machine Learning · Computer Science 2024-03-08 Jing Gu , Dongmian Zou

This paper presents an approach to analyzing two-dimensional temporal datasets focusing on identifying observations that are significant in calculating the outliers of a scatterplot. We also propose a prototype, called Outliagnostics, to…

Human-Computer Interaction · Computer Science 2019-10-31 Vung Pham , Tommy Dang

Metric-based summary statistics such as mean and covariance have been introduced in neural spike train space. They can properly describe template and variability in spike train data, but are often sensitive to outliers and expensive to…

Applications · Statistics 2023-11-27 Xinyu Zhou , Wei Wu

Given a real-valued function $f$ defined over a manifold $M$ embedded in $\mathbb{R}^d$, we are interested in recovering structural information about $f$ from the sole information of its values on a finite sample $P$. Existing methods…

Computational Geometry · Computer Science 2015-04-08 Mickaël Buchet , Frédéric Chazal , Tamal K. Dey , Fengtao Fan , Steve Y. Oudot , Yusu Wang

A trained ML model is deployed on another `test' dataset where target feature values (labels) are unknown. Drift is distribution change between the training and deployment data, which is concerning if model performance changes. For a…

Applications · Statistics 2022-09-07 Samuel Ackerman , Eitan Farchi , Orna Raz , Marcel Zalmanovici , Parijat Dube

Out-of-distribution (OOD) detection methods often exploit auxiliary outliers to train model identifying OOD samples, especially discovering challenging outliers from auxiliary outliers dataset to improve OOD detection. However, they may…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 Yichen Bai , Zongbo Han , Changqing Zhang , Bing Cao , Xiaoheng Jiang , Qinghua Hu