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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

Circle fitting methods are extensively utilized in various industries, particularly in quality control processes and design applications. The effectiveness of these algorithms can be significantly compromised when the point sets to be…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Ahmet Gökhan Poyraz

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

Most real-world IoT data analysis tasks, such as clustering and anomaly event detection, are unsupervised and highly susceptible to the presence of outliers. In addition to sporadic scattered outliers caused by factors such as faulty sensor…

Machine Learning · Computer Science 2026-03-16 Yiqun Zhang , Zexi Tan , Xiaopeng Luo , Yunlin Liu

Let there be given a contaminated list of n R^d-valued observations coming from g different, normally distributed populations with a common covariance matrix. We compute the ML-estimator with respect to a certain statistical model with n-r…

Statistics Theory · Mathematics 2007-06-13 Maria Teresa Gallegos , Gunter Ritter

Network (or graph) embedding is the task to map the nodes of a graph to a lower dimensional vector space, such that it preserves the graph properties and facilitates the downstream network mining tasks. Real world networks often come with…

Social and Information Networks · Computer Science 2020-07-21 Sambaran Bandyopadhyay , Saley Vishal Vivek , M. N. Murty

The Residual Congruent Subset (RCS) is a new method for finding outliers in the linear regression setting. Like many other outlier detection procedures, RCS searches for a subset which minimizes a criterion. The difference is that the new…

Methodology · Statistics 2014-02-18 Kaveh Vakili , Eric Schmitt

The problem of outlier detection is extremely challenging in many domains such as text, in which the attribute values are typically non-negative, and most values are zero. In such cases, it often becomes difficult to separate the outliers…

Information Retrieval · Computer Science 2017-01-06 Ramakrishnan Kannan , Hyenkyun Woo , Charu C. Aggarwal , Haesun Park

In an industrial context, the activity of sensors is recorded at a high frequency. A challenge is to automatically detect abnormal measurement behavior. Considering the sensor measures as functional data, the problem can be formulated as…

Statistics Theory · Mathematics 2022-03-09 Martial Amovin-Assagba , Irène Gannaz , Julien Jacques

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

This paper presents a simple but effective density-based outlier detection approach with the local kernel density estimation (KDE). A Relative Density-based Outlier Score (RDOS) is introduced to measure the local outlierness of objects, in…

Artificial Intelligence · Computer Science 2016-06-29 Bo Tang , Haibo He

Patterns that appear rarely or unusually in the data can be defined as outlier patterns. The basic idea behind detecting outlier patterns is comparison of their relative frequencies with frequent patterns. Their frequencies of appearance…

Databases · Computer Science 2015-07-08 Archana N. , S. S. Pawar

The maximum correntropy criterion (MCC) has recently been successfully applied in robust regression, classification and adaptive filtering, where the correntropy is maximized instead of minimizing the well-known mean square error (MSE) to…

Machine Learning · Statistics 2017-11-27 Badong Chen , Lei Xing , Haiquan Zhao , Bin Xu , Jose C. Principe

Principal component analysis (PCA) is widely used for dimensionality reduction, with well-documented merits in various applications involving high-dimensional data, including computer vision, preference measurement, and bioinformatics. In…

Machine Learning · Statistics 2013-10-01 Gonzalo Mateos , Georgios B. Giannakis

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

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

We consider a least-squares variational kernel-based method for numerical solution of second order elliptic partial differential equations on a multi-dimensional domain. In this setting it is not assumed that the differential operator is…

Numerical Analysis · Mathematics 2021-10-26 Salar Seyednazari , Mehdi Tatari , Davoud Mirzaei

Modern multi-centre randomized controlled trials (MCRCTs) collect massive amounts of tabular data, and are monitored intensively for irregularities by humans. We began by empirically evaluating 6 modern machine learning-based outlier…

Machine Learning · Computer Science 2023-11-10 Walter Nelson , Jonathan Ranisau , Jeremy Petch

Linear discriminant analysis (LDA) is a widely used technique for data classification. The method offers adequate performance in many classification problems, but it becomes inefficient when the data covariance matrix is ill-conditioned.…

Machine Learning · Statistics 2024-02-08 Maaz Mahadi , Tarig Ballal , Muhammad Moinuddin , Tareq Y. Al-Naffouri , Ubaid M. Al-Saggaf

Robust PCA, the problem of PCA in the presence of outliers has been extensively investigated in the last few years. Here we focus on Robust PCA in the outlier model where each column of the data matrix is either an inlier or an outlier.…

Machine Learning · Statistics 2019-05-01 Vishnu Menon , Sheetal Kalyani
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