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Handling outliers is a fundamental challenge in multivariate data analysis because outliers may distort the structures of correlation or conditional independence. Although robust Bayesian inference has been extensively studied in univariate…

Methodology · Statistics 2025-10-27 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

The ability to collect and store ever more massive databases has been accompanied by the need to process them efficiently. In many cases, most observations have the same behavior, while a probable small proportion of these observations are…

Statistics Theory · Mathematics 2021-09-21 Myrto Limnios , Nathan Noiry , Stéphan Clémençon

Out-of-distribution detection (OOD) deals with anomalous input to neural networks. In the past, specialized methods have been proposed to reject predictions on anomalous input. Similarly, it was shown that feature extraction models in…

Machine Learning · Computer Science 2022-01-25 Jan Diers , Christian Pigorsch

Observations in data which are significantly different from its neighbouring points but cannot be classified as noise are known as anomalies or outliers. These anomalies are a cause of concern and a timely warning about their presence could…

Applications · Statistics 2020-06-09 Krishnam Kapoor

This paper proposes a novel fast online methodology for outlier detection called the exception maximization outlier detection method(EMODM), which employs probabilistic models and statistical algorithms to detect abnormal patterns from the…

Machine Learning · Statistics 2025-06-03 Zhikun Zhang , Yiting Duan , Xiangjun Wang , Mingyuan Zhang

Outlier-robust estimation is a fundamental problem and has been extensively investigated by statisticians and practitioners. The last few years have seen a convergence across research fields towards "algorithmic robust statistics", which…

Machine Learning · Statistics 2022-12-19 Luca Carlone

We propose a general approach to handle data contaminations that might disrupt the performance of feature selection and estimation procedures for high-dimensional linear models. Specifically, we consider the co-occurrence of mean-shift and…

Methodology · Statistics 2021-06-23 Luca Insolia , Francesca Chiaromonte , Runze Li , Marco Riani

We present a novel mathematical optimization framework for outlier detection in multimodal datasets, extending Support Vector Data Description approaches. We provide a primal formulation, in the shape of a Mixed Integer Second Order Cone…

Optimization and Control · Mathematics 2025-07-16 Víctor Blanco , Inmaculada Espejo , Raúl Páez , Antonio M. Rodríguez-Chía

In this paper, we consider the problem of conditional anomaly detection that aims to identify data instances with an unusual response or a class label. We develop a new non-parametric approach for conditional anomaly detection based on the…

Machine Learning · Computer Science 2026-04-24 Michal Valko , Branislav Kveton , Hamed Valizadegan , Gregory F. Cooper , Milos Hauskrecht

Anomaly detection methods can be very useful in identifying unusual or interesting patterns in data. A recently proposed conditional anomaly detection framework extends anomaly detection to the problem of identifying anomalous patterns on a…

Machine Learning · Computer Science 2026-05-12 Michal Valko , Gregory Cooper , Amy Seybert , Shyam Visweswaran , Melissa Saul , Miloš Hauskrecht

We study the change detection problem with an unknown post-change distribution. Under this constraint, the unknown change in the distribution of observations may occur in many ways without much structure on the observations, whereas, before…

Signal Processing · Electrical Eng. & Systems 2020-12-11 Deniz Sargun , C. Emre Koksal

Outlier detection is an important task in data mining and many technologies have been explored in various applications. However, due to the default assumption that outliers are non-concentrated, unsupervised outlier detection may not…

Machine Learning · Computer Science 2020-03-10 Zhe Li , Chunhua Sun , Chunli Liu , Xiayu Chen , Meng Wang , Yezheng Liu

It has become routine in neuroscience studies to measure brain networks for different individuals using neuroimaging. These networks are typically expressed as adjacency matrices, with each cell containing a summary of connectivity between…

Methodology · Statistics 2022-06-30 Pritam Dey , Zhengwu Zhang , David B. Dunson

A popular approach for comparing gene expression levels between (replicated) conditions of RNA sequencing data relies on counting reads that map to features of interest. Within such count-based methods, many flexible and advanced…

Quantitative Methods · Quantitative Biology 2014-03-17 Xiaobei Zhou , Helen Lindsay , Mark D. Robinson

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Selecting and combining the outlier scores of different base detectors used within outlier ensembles can be quite challenging in the absence of ground truth. In this paper, an unsupervised outlier detector combination framework called DCSO…

Machine Learning · Computer Science 2019-11-26 Yue Zhao , Maciej K. Hryniewicki

In today's urban landscape, traffic congestion poses a critical challenge, especially during outlier scenarios. These outliers can indicate abrupt traffic peaks, drops, or irregular trends, often arising from factors such as accidents,…

Machine Learning · Computer Science 2023-12-29 Himanshu Choudhary , Marwan Hassani

Outlier detection is a fundamental data science task with applications ranging from data cleaning to network security. Given the fundamental nature of the task, this has been the subject of much research. Recently, a new class of outlier…

Databases · Computer Science 2016-12-26 Jiongqian Liang , Srinivasan Parthasarathy

Outlier detection algorithms typically assign an outlier score to each observation in a dataset, indicating the degree to which an observation is an outlier. However, these scores are often not comparable across algorithms and can be…

Machine Learning · Computer Science 2024-10-31 Philipp Röchner , Henrique O. Marques , Ricardo J. G. B. Campello , Arthur Zimek , Franz Rothlauf

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