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Outlier explanation is the task of identifying a set of features that distinguish a sample from normal data, which is important for downstream (human) decision-making. Existing methods are based on beam search in the space of feature…

Machine Learning · Computer Science 2022-07-19 Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

A new technique for the detection of outliers in contingency tables is introduced. Outliers thereby are unexpected cell counts with respect to classical loglinear Poisson models. Subsets of cell counts called minimal patterns are defined,…

Computation · Statistics 2012-11-15 Sonja Kuhnt , Fabio Rapallo , André Rehage

Outlier detection is a core task in data mining with a plethora of algorithms that have enjoyed wide scale usage. Existing algorithms are primarily focused on detection, that is the identification of outliers in a given dataset. In this…

Machine Learning · Computer Science 2019-11-11 Yue Wu , Leman Akoglu , Ian Davidson

Outliers introduce significant training challenges in neural networks by propagating erroneous gradients, which can degrade model performance and generalization. We propose the Z-Error Loss, a statistically principled approach that…

Machine Learning · Computer Science 2025-06-04 Guillaume Godin

Reliable outlier detection in high-dimensional data is crucial in modern science, yet it remains a challenging task. Traditional methods often break down in these settings due to their reliance on asymptotic behaviors with respect to sample…

Methodology · Statistics 2025-11-05 Seong-ho Lee , Yongho Jeon

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 introduce an online outlier detection algorithm to detect outliers in a sequentially observed data stream. For this purpose, we use a two-stage filtering and hedging approach. In the first stage, we construct a multi-modal probability…

Machine Learning · Computer Science 2018-03-13 Mohammadreza Mohaghegh Neyshabouri , Suleyman Serdar Kozat

Universal outlier hypothesis testing refers to a hypothesis testing problem where one observes a large number of length-$n$ sequences -- the majority of which are distributed according to the typical distribution $\pi$ and a small number…

Information Theory · Computer Science 2026-01-05 Bernhard C. Geiger , Tobias Koch , Josipa Mihaljević , Maximilian Toller

It is widely recognized that deep neural networks are sensitive to bias in the data. This means that during training these models are likely to learn spurious correlations between data and labels, resulting in limited generalization…

Machine Learning · Computer Science 2024-12-06 Vito Paolo Pastore , Massimiliano Ciranni , Davide Marinelli , Francesca Odone , Vittorio Murino

A multivariate dataset consists of $n$ cases in $d$ dimensions, and is often stored in an $n$ by $d$ data matrix. It is well-known that real data may contain outliers. Depending on the situation, outliers may be (a) undesirable errors which…

Methodology · Statistics 2019-10-08 Peter J. Rousseeuw , Wannes Van den Bossche

This paper studies the construction of p-values for nonparametric outlier detection, taking a multiple-testing perspective. The goal is to test whether new independent samples belong to the same distribution as a reference data set or are…

Methodology · Statistics 2024-03-12 Stephen Bates , Emmanuel Candès , Lihua Lei , Yaniv Romano , Matteo Sesia

This paper presents an automated approach for providing ranked lists of outliers in observed demand to support analysts in network revenue management. Such network revenue management, e.g. for railway itineraries, needs accurate demand…

Physics and Society · Physics 2023-02-27 Nicola Rennie , Catherine Cleophas , Adam M. Sykulski , Florian Dost

We propose a novel approach to Bayesian analysis that is provably robust to outliers in the data and often has computational advantages over standard methods. Our technique is based on splitting the data into non-overlapping subgroups,…

Statistics Theory · Mathematics 2016-06-03 Stanislav Minsker , Sanvesh Srivastava , Lizhen Lin , David B. Dunson

Unsupervised outlier detection constitutes a crucial phase within data analysis and remains a dynamic realm of research. A good outlier detection algorithm should be computationally efficient, robust to tuning parameter selection, and…

Machine Learning · Statistics 2024-09-23 Sheikh Arafat , Na Sun , Maria L. Weese , Waldyn G. Martinez

This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

Statistics Theory · Mathematics 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

Outlier detection and cleaning are essential steps in data preprocessing to ensure the integrity and validity of data analyses. This paper focuses on outlier points within individual trajectories, i.e., points that deviate significantly…

Databases · Computer Science 2025-11-26 Mariana M Garcez Duarte , Mahmoud Sakr

Outlier detection is a significant area in data mining. It can be either used to pre-process the data prior to an analysis or post the processing phase (before visualization) depending on the effectiveness of the outlier and its importance.…

Machine Learning · Statistics 2021-06-22 Jacob John

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

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

Methodology · Statistics 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

Continuous-time event sequences represent discrete events occurring in continuous time. Such sequences arise frequently in real-life. Usually we expect the sequences to follow some regular pattern over time. However, sometimes these…

Machine Learning · Computer Science 2021-06-15 Siqi Liu , Milos Hauskrecht