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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

The presence of outliers can prevent clustering algorithms from accurately determining an appropriate group structure within a data set. We present outlierMBC, a model-based approach for sequentially removing outliers and clustering the…

Methodology · Statistics 2025-06-30 Ultán P. Doherty , Paul D. McNicholas , Arthur White

There are a number of mathematical formalisms of the term "outlier" in statistics, though there is no consensus on what the right notion ought to be. Accordingly, we try to give a consistent and robust definition for a specific type of…

Methodology · Statistics 2022-07-27 Ahmet Zahid Balcıoğlu , Oğuz Gürerk

Health data are often not symmetric to be adequately modeled through the usual normal distributions; most of them exhibit skewed patterns. They can indeed be modeled better through the larger family of skew-normal distributions covering…

Applications · Statistics 2019-09-24 Amarnath Nandy , Ayanendranath Basu , Abhik Ghosh

The Projection Congruent Subset (PCS) Outlyingness is a new index of multivariate outlyingness obtained by considering univariate projections of the data. Like many other outlier detection procedures, PCS searches for a subset which…

Methodology · Statistics 2013-08-01 Kaveh Vakili , Eric Schmitt

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

The problem of sequentially detecting an abrupt change in a sequence of independent and identically distributed (IID) random variables is addressed. Whereas previous approaches assume a known probability density function (PDF) at the start…

Statistics Theory · Mathematics 2017-12-11 James Falt , Steven D. Blostein

The problem of detecting whether a test sample is from in-distribution (i.e., training distribution by a classifier) or out-of-distribution sufficiently different from it arises in many real-world machine learning applications. However, the…

Machine Learning · Statistics 2018-02-27 Kimin Lee , Honglak Lee , Kibok Lee , Jinwoo Shin

We consider nonparametric sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution with some loose constraints. We…

Information Theory · Computer Science 2013-11-15 Shouvik Ganguly , K Sahasranand , Vinod Sharma

Outliers arise in networks due to different reasons such as fraudulent behavior of malicious users or default in measurement instruments and can significantly impair network analyses. In addition, real-life networks are likely to be…

Machine Learning · Statistics 2020-12-02 Solenne Gaucher , Olga Klopp , Geneviève Robin

The article describes a practical method for detecting outlier database connections in real-time. Outlier connections are detected with a specified level of confidence. The method is based on generalized security rules and a simple but…

Databases · Computer Science 2025-01-15 Leonid Rodniansky , Tania Butovsky , Mikhail Shpak

Conformal prediction is a flexible framework for calibrating machine learning predictions, providing distribution-free statistical guarantees. In outlier detection, this calibration relies on a reference set of labeled inlier data to…

Machine Learning · Statistics 2025-06-17 Meshi Bashari , Matteo Sesia , Yaniv Romano

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

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

This paper considers the problem of recovering signals modeled by generative models from linear measurements contaminated with sparse outliers. We propose an outlier detection approach for reconstructing the ground-truth signals modeled by…

Machine Learning · Statistics 2023-10-17 Jirong Yi , Jingchao Gao , Tianming Wang , Xiaodong Wu , Weiyu Xu

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

Outlier detection is one of the most important processes taken to create good, reliable data in machine learning. The most methods of outlier detection leverage an auxiliary reconstruction task by assuming that outliers are more difficult…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Ning Huyan , Dou Quan , Xiangrong Zhang , Xuefeng Liang , Jocelyn Chanussot , Licheng Jiao

Random effects meta-analysis model is an important tool for integrating results from multiple independent studies. However, the standard model is based on the assumption of normal distributions for both random effects and within-study…

Methodology · Statistics 2024-06-07 Yue Wang , Jianhua Zhao , Fen Jiang , Lei Shi , Jianxin Pan

Outlier detection refers to the identification of rare items that are deviant from the general data distribution. Existing approaches suffer from high computational complexity, low predictive capability, and limited interpretability. As a…

Machine Learning · Statistics 2022-01-04 Zheng Li , Yue Zhao , Nicola Botta , Cezar Ionescu , Xiyang Hu

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