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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

This paper examines the problem of locating outlier columns in a large, otherwise low-rank, matrix. We propose a simple two-step adaptive sensing and inference approach and establish theoretical guarantees for its performance; our results…

Information Theory · Computer Science 2015-06-22 Xingguo Li , Jarvis Haupt

The ability to detect out-of-distribution data is essential not only for ensuring robustness against unknown or unexpected input data but also for improving the generalization performance of the model. Among various out-of-distribution…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Akito Shinohara , Kohei Fukuda , Hiroaki Aizawa

From the past decade outlier detection has been in use. Detection of outliers is an emerging topic and is having robust applications in medical sciences and pharmaceutical sciences. Outlier detection is used to detect anomalous behaviour of…

Computational Engineering, Finance, and Science · Computer Science 2013-12-13 Doreswamy , Chanabasayya . M. Vastrad

We revisit the problem of statistical sequence matching initiated by Unnikrishnan (TIT 2015) and derive theoretical performance guarantees for sequential tests that have bounded expected stopping times. Specifically, in this problem, one is…

Information Theory · Computer Science 2025-06-05 Lin Zhou , Qianyun Wang , Yun Wei , Jingjing Wang

In many applications, when building linear regression models, it is important to account for the presence of outliers, i.e., corrupted input data points. Such problems can be formulated as mixed-integer optimization problems involving cubic…

Optimization and Control · Mathematics 2023-07-13 Andrés Gómez , José Neto

We consider models for network indexed multivariate data involving a dependence between variables as well as across graph nodes. In the framework of these models, we focus on outliers detection and introduce the concept of edgewise…

Methodology · Statistics 2023-07-24 Christopher Rieser , Anne Ruiz-Gazen , Christine Thomas-Agnan

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

Out-of-distribution (OOD) detection is indispensable for machine learning models deployed in the open world. Recently, the use of an auxiliary outlier dataset during training (also known as outlier exposure) has shown promising performance.…

Machine Learning · Computer Science 2022-06-29 Yifei Ming , Ying Fan , Yixuan Li

Dynamic factor models have a wide range of applications in econometrics and applied economics. The basic motivation resides in their capability of reducing a large set of time series to only few indicators (factors). If the number of time…

Statistics Theory · Mathematics 2009-09-29 Roberto Baragona , Francesco Battaglia

We propose two new outlier detection methods, for identifying and classifying different types of outliers in (big) functional data sets. The proposed methods are based on an existing method called Massive Unsupervised Outlier Detection…

Methodology · Statistics 2021-10-15 Oluwasegun Taiwo Ojo , Antonio Fernández Anta , Rosa E. Lillo , Carlo Sguera

An ever-growing number of vulnerabilities are reported every day. Yet these vulnerabilities are not all the same; Some are more targeted than others. Correctly estimating the likelihood of a vulnerability being exploited is a critical task…

Cryptography and Security · Computer Science 2023-04-21 Hadi Eskandari , Michael Bewong , Sabih ur Rehman

Deep neural network, despite its remarkable capability of discriminating targeted in-distribution samples, shows poor performance on detecting anomalous out-of-distribution data. To address this defect, state-of-the-art solutions choose to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Boxi Wu , Jie Jiang , Haidong Ren , Zifan Du , Wenxiao Wang , Zhifeng Li , Deng Cai , Xiaofei He , Binbin Lin , Wei Liu

Feature selection places an important role in improving the performance of outlier detection, especially for noisy data. Existing methods usually perform feature selection and outlier scoring separately, which would select feature subsets…

Machine Learning · Computer Science 2020-01-17 Li Cheng , Yijie Wang , Xinwang Liu , Bin Li

Normalizing flows are prominent deep generative models that provide tractable probability distributions and efficient density estimation. However, they are well known to fail while detecting Out-of-Distribution (OOD) inputs as they directly…

Machine Learning · Computer Science 2021-11-17 Nishant Kumar , Pia Hanfeld , Michael Hecht , Michael Bussmann , Stefan Gumhold , Nico Hoffmann

Outlier detection refers to the identification of anomalous samples that deviate significantly from the distribution of normal data and has been extensively studied and used in a variety of practical tasks. However, most unsupervised…

Machine Learning · Computer Science 2025-01-07 Can Gao , Xiaofeng Tan , Jie Zhou , Weiping Ding , Witold Pedrycz

A reliable evaluation method is essential for building a robust out-of-distribution (OOD) detector. Current robustness evaluation protocols for OOD detectors rely on injecting perturbations to outlier data. However, the perturbations are…

Cryptography and Security · Computer Science 2022-08-24 Sangwoong Yoon , Jinwon Choi , Yonghyeon Lee , Yung-Kyun Noh , Frank Chongwoo Park

The neighbor-based method has become a powerful tool to handle the outlier detection problem, which aims to infer the abnormal degree of the sample based on the compactness of the sample and its neighbors. However, the existing methods…

Machine Learning · Computer Science 2024-05-30 Zhuang Qi , Junlin Zhang , Xiaming Chen , Xin Qi

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

Improving the reliability of deployed machine learning systems often involves developing methods to detect out-of-distribution (OOD) inputs. However, existing research often narrowly focuses on samples from classes that are absent from the…

Machine Learning · Computer Science 2024-12-11 Charles Guille-Escuret , Pierre-André Noël , Ioannis Mitliagkas , David Vazquez , Joao Monteiro
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