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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

Anomaly detection suffers from unbalanced data since anomalies are quite rare. Synthetically generated anomalies are a solution to such ill or not fully defined data. However, synthesis requires an expressive representation to guarantee the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Adín Ramírez Rivera , Adil Khan , Imad E. I. Bekkouch , Taimoor S. Sheikh

Outlier detection (OD), distinguishing inliers and outliers in completely unlabeled datasets, plays a vital role in science and engineering. Although there have been many insightful OD methods, most of them require troublesome…

Machine Learning · Computer Science 2026-03-17 Dazhi Fu , Jicong Fan

A new anomaly detection method called kernel outlier detection (KOD) is proposed. It is designed to address challenges of outlier detection in high-dimensional settings. The aim is to overcome limitations of existing methods, such as…

Machine Learning · Computer Science 2025-07-01 Can Hakan Dağıdır , Mia Hubert , Peter J. Rousseeuw

Outlier detection is an important topic in machine learning and has been used in a wide range of applications. Outliers are objects that are few in number and deviate from the majority of objects. As a result of these two properties, we…

Machine Learning · Computer Science 2022-04-22 Xusheng Du , Enguang Zuo , Zhenzhen He , Jiong Yu

This paper studies the problem of robustly learning the correlation function for a univariate time series with the presence of noise, outliers and missing entries. The outliers or anomalies considered here are sparse and rare events that…

Applications · Statistics 2019-01-31 Triet M. Le

Anomaly detection is to recognize samples that differ in some respect from the training observations. These samples which do not conform to the distribution of normal data are called outliers or anomalies. In real-world anomaly detection…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Vahid Reza Khazaie , Anthony Wong , Yalda Mohsenzadeh

We consider the multi-class classification problem when the training data and the out-of-sample test data may have different distributions and propose a method called BCOPS (balanced and conformal optimized prediction sets). BCOPS…

Methodology · Statistics 2019-06-26 Leying Guan , Rob Tibshirani

Anomalies and outliers are common in real-world data, and they can arise from many sources, such as sensor faults. Accordingly, anomaly detection is important both for analyzing the anomalies themselves and for cleaning the data for further…

Machine Learning · Statistics 2018-11-13 Haitao Liu , Randy C. Paffenroth , Jian Zou , Chong Zhou

Outlier detection is the identification of points in a dataset that do not conform to the norm. Outlier detection is highly sensitive to the choice of the detection algorithm and the feature subspace used by the algorithm. Extracting…

Artificial Intelligence · Computer Science 2017-05-18 Yanjie Fu , Charu Aggarwal , Srinivasan Parthasarathy , Deepak S. Turaga , Hui Xiong

Anomaly detection is a relevant problem in the area of data analysis. In networked systems, where individual entities interact in pairs, anomalies are observed when pattern of interactions deviates from patterns considered regular. Properly…

Social and Information Networks · Computer Science 2023-10-25 Hadiseh Safdari , Caterina De Bacco

This paper studies the outlier detection problem from the point of view of penalized regressions. Our regression model adds one mean shift parameter for each of the $n$ data points. We then apply a regularization favoring a sparse vector of…

Methodology · Statistics 2011-10-18 Yiyuan She , Art B. Owen

Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outliers in the data. Even a few outliers can compromise the…

Machine Learning · Statistics 2015-05-27 Pedro A. Forero , Vassilis Kekatos , Georgios B. Giannakis

In this paper we consider a Bayesian analysis of contingency tables allowing for the possibility that cells may have probability zero. In this sense we depart from standard log-linear modeling that implicitly assumes a positivity…

Statistics Theory · Mathematics 2007-06-13 Guido Consonni , Giovanni Pistone

Extract, Transform, Load (ETL) is an integral part of Data Warehousing (DW) implementation. The commercial tools that are used for this purpose captures lot of execution trace in form of various log files with plethora of information.…

Databases · Computer Science 2012-03-09 Saptarsi Goswami , Samiran Ghosh , Amlan Chakrabarti

Large language models (LLMs) have shown their potential in long-context understanding and mathematical reasoning. In this paper, we study the problem of using LLMs to detect tabular anomalies and show that pre-trained LLMs are zero-shot…

Machine Learning · Computer Science 2024-06-25 Aodong Li , Yunhan Zhao , Chen Qiu , Marius Kloft , Padhraic Smyth , Maja Rudolph , Stephan Mandt

Benchmarking unsupervised outlier detection is difficult. Outliers are rare, and existing benchmark data contains outliers with various and unknown characteristics. Fully synthetic data usually consists of outliers and regular instance with…

Machine Learning · Computer Science 2021-05-07 Georg Steinbuss , Klemens Böhm

Outliers are samples that are generated by different mechanisms from other normal data samples. Graphs, in particular social network graphs, may contain nodes and edges that are made by scammers, malicious programs or mistakenly by normal…

Social and Information Networks · Computer Science 2016-06-22 Honglei Zhang , Serkan Kiranyaz , Moncef Gabbouj

We propose a simple multiple outlier identification method for parametric location-scale and shape-scale models when the number of possible outliers is not specified. The method is based on a result giving asymptotic properties of extreme…

Statistics Theory · Mathematics 2020-12-07 Vilijandas Bagdonavicius , Linas Petkevicius

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
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