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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

Outlier hypothesis testing is studied in a universal setting. Multiple sequences of observations are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are distributed…

Information Theory · Computer Science 2014-04-02 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

Universal outlier hypothesis testing is studied in a sequential setting. Multiple observation sequences are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are…

Statistics Theory · Mathematics 2014-11-27 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

Multi-dimensional scaling (MDS) plays a central role in data-exploration, dimensionality reduction and visualization. State-of-the-art MDS algorithms are not robust to outliers, yielding significant errors in the embedding even when only a…

Computer Vision and Pattern Recognition · Computer Science 2018-02-08 Leonid Blouvshtein , Daniel Cohen-Or

Outlier detection is a fundamental task in data mining and has many applications including detecting errors in databases. While there has been extensive prior work on methods for outlier detection, modern datasets often have sizes that are…

Machine Learning · Computer Science 2019-08-01 Laure Berti-Equille , Ji Meng Loh , Saravanan Thirumuruganathan

We study a novel outlier detection problem that aims to identify abnormal input-output associations in data, whose instances consist of multi-dimensional input (context) and output (responses) pairs. We present our approach that works by…

Artificial Intelligence · Computer Science 2017-08-04 Charmgil Hong , Siqi Liu , Milos Hauskrecht

In real world, our datasets often contain outliers. Moreover, the outliers can seriously affect the final machine learning result. Most existing algorithms for handling outliers take high time complexities (e.g. quadratic or cubic…

Computational Geometry · Computer Science 2020-02-28 Hu Ding , Zixiu Wang

Detecting a small number of outliers from a set of data observations is always challenging. This problem is more difficult in the setting of multiple network samples, where computing the anomalous degree of a network sample is generally not…

Artificial Intelligence · Computer Science 2016-10-04 Xuan-Hong Dang , Arlei Silva , Ambuj Singh , Ananthram Swami , Prithwish Basu

This paper investigates differentially private analysis of distance-based outliers. The problem of outlier detection is to find a small number of instances that are apparently distant from the remaining instances. On the other hand, the…

Machine Learning · Statistics 2015-07-28 Rina Okada , Kazuto Fukuchi , Kazuya Kakizaki , Jun Sakuma

Outlier or anomaly detection is an important task in data analysis. We discuss the problem from a geometrical perspective and provide a framework that exploits the metric structure of a data set. Our approach rests on the manifold…

Machine Learning · Statistics 2022-08-01 Moritz Herrmann , Florian Pfisterer , Fabian Scheipl

We consider the problem of multivariate location and scatter matrix estimation when the data contain cellwise and casewise outliers. Agostinelli et al. (2015) propose a two-step approach to deal with this problem: first, apply a univariate…

Statistics Theory · Mathematics 2016-12-28 Andy Leung , Victor J. Yohai , Ruben H. Zamar

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

Many machine learning classification systems lack competency awareness. Specifically, many systems lack the ability to identify when outliers (e.g., samples that are distinct from and not represented in the training data distribution) are…

Machine Learning · Computer Science 2020-07-03 Matthew Cook , Alina Zare , Paul Gader

We derive a convex optimization problem for the task of segmenting sequential data, which explicitly treats presence of outliers. We describe two algorithms for solving this problem, one exact and one a top-down novel approach, and we…

Machine Learning · Computer Science 2014-11-19 Itamar Katz , Koby Crammer

Outlier detection is an essential capability in safety-critical applications of supervised visual recognition. Most of the existing methods deliver best results by encouraging standard closed-set models to produce low-confidence predictions…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Anja Delić , Matej Grcić , Siniša Šegvić

Tensor-on-tensor (TOT) regression is an important tool for the analysis of tensor data, aiming to predict a set of response tensors from a corresponding set of predictor tensors. However, standard TOT regression is sensitive to outliers,…

Methodology · Statistics 2026-03-30 Mehdi Hirari , Fabio Centofanti , Mia Hubert , Stefan Van Aelst

It is important to detect anomalous inputs when deploying machine learning systems. The use of larger and more complex inputs in deep learning magnifies the difficulty of distinguishing between anomalous and in-distribution examples. At the…

Machine Learning · Computer Science 2019-01-30 Dan Hendrycks , Mantas Mazeika , Thomas Dietterich

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Outlier recognition is a fundamental problem in data analysis and has attracted a great deal of attention in the past decades. However, most existing methods still suffer from several issues such as high time and space complexities or…

Computational Geometry · Computer Science 2019-04-09 Hu Ding , Mingquan Ye

By definition, outliers are rarely observed in reality, making them difficult to detect or analyse. Artificial outliers approximate such genuine outliers and can, for instance, help with the detection of genuine outliers or with…

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