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We consider the problem of constructing robust nonparametric confidence intervals and tests of hypothesis for the median when the data distribution is unknown and the data may contain a small fraction of contamination. We propose a…

Statistics Theory · Mathematics 2007-06-13 Victor J. Yohai , Ruben H. Zamar

Outlier detection aims to find samples that behave differently from the majority of the data. Semi-supervised detection methods can utilize the supervision of partial labels, thus reducing false positive rates. However, most of the current…

Machine Learning · Computer Science 2025-12-23 Baiyang Chen , Zhong Yuan , Dezhong Peng , Xiaoliang Chen , Hongmei Chen

Modern neural networks are known to give overconfident prediction for out-of-distribution inputs when deployed in the open world. It is common practice to leverage a surrogate outlier dataset to regularize the model during training, and…

Machine Learning · Computer Science 2024-02-27 Wenyu Jiang , Hao Cheng , Mingcai Chen , Chongjun Wang , Hongxin Wei

It is well-known that real data often contain outliers. The term outlier typically refers to a case, that is, a row of the $n \times d$ data matrix. In recent times a different type has come into focus, the cellwise outliers. These are…

Methodology · Statistics 2024-07-08 Jakob Raymaekers , Peter J. Rousseeuw

A novel family of geometric signal detectors are proposed through medians of the total Bregman divergence (TBD), which are shown advantageous over the conventional methods and their mean counterparts. By interpreting the observation data as…

Signal Processing · Electrical Eng. & Systems 2022-12-13 Yusuke Ono , Linyu Peng

We develop Distributionally Robust Optimization (DRO) formulations for Multivariate Linear Regression (MLR) and Multiclass Logistic Regression (MLG) when both the covariates and responses/labels may be contaminated by outliers. The DRO…

Machine Learning · Statistics 2020-06-12 Ruidi Chen , Ioannis Ch. Paschalidis

This note investigates the problem of detecting outliers in longitudinal data. It compares well-known methods used in official statistics with proposals from the fields of data mining and machine learning that are based on the distance…

Methodology · Statistics 2025-07-30 Marcello D'Orazio

Cellwise outliers are likely to occur together with casewise outliers in modern data sets with relatively large dimension. Recent work has shown that traditional robust regression methods may fail for data sets in this paradigm. The…

Statistics Theory · Mathematics 2016-12-28 Andy Leung , Hongyang Zhang , Ruben H. Zamar

The robustness of risk measures to changes in underlying loss distributions (distributional uncertainty) is of crucial importance in making well-informed decisions. In this paper, we quantify, for the class of distortion risk measures with…

Risk Management · Quantitative Finance 2023-03-14 Carole Bernard , Silvana M. Pesenti , Steven Vanduffel

Clustering stands as one of the most prominent challenges in unsupervised machine learning. Among centroid-based methods, the classic $k$-means algorithm, based on Lloyd's heuristic, is widely used. Nonetheless, it is a well-known fact that…

Machine Learning · Statistics 2025-01-30 Supratik Basu , Jyotishka Ray Choudhury , Debolina Paul , Swagatam Das

As deep learning methods form a critical part in commercially important applications such as autonomous driving and medical diagnostics, it is important to reliably detect out-of-distribution (OOD) inputs while employing these algorithms.…

Machine Learning · Computer Science 2018-09-12 Apoorv Vyas , Nataraj Jammalamadaka , Xia Zhu , Dipankar Das , Bharat Kaul , Theodore L. Willke

The application of machine learning in safety-critical systems requires a reliable assessment of uncertainty. However, deep neural networks are known to produce highly overconfident predictions on out-of-distribution (OOD) data. Even if…

Machine Learning · Computer Science 2022-10-19 Alexander Meinke , Julian Bitterwolf , Matthias Hein

Model-based offline reinforcement learning (RL), which builds a supervised transition model with logging dataset to avoid costly interactions with the online environment, has been a promising approach for offline policy optimization. As the…

Machine Learning · Computer Science 2023-09-06 Junming Yang , Xingguo Chen , Shengyuan Wang , Bolei Zhang

The product moment covariance is a cornerstone of multivariate data analysis, from which one can derive correlations, principal components, Mahalanobis distances and many other results. Unfortunately the product moment covariance and the…

Methodology · Statistics 2021-05-21 Jakob Raymaekers , Peter J. Rousseeuw

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

A notorious problem in queueing theory is to compute the worst possible performance of the GI/G/1 queue under mean-dispersion constraints for the interarrival and service time distributions. We address this extremal queue problem by…

Probability · Mathematics 2020-12-16 Wouter van Eekelen , Dick den Hertog , Johan S. H. van Leeuwaarden

Robustness in AI systems refers to their ability to maintain reliable and accurate performance under various conditions, including out-of-distribution (OOD) samples, adversarial attacks, and environmental changes. This is crucial in…

Artificial Intelligence · Computer Science 2025-10-15 Wissam Salhab , Darine Ameyed , Hamid Mcheick , Fehmi Jaafar

The ability to detect out-of-distribution (OOD) inputs is fundamental to safe deployment of machine learning systems. Yet, current methods often rely on feature representations that are optimised solely for classification accuracy,…

Machine Learning · Computer Science 2026-05-22 Rahul D Ray

The unsupervised outlier detection (UOD) problem refers to a task to identify inliers given training data which contain outliers as well as inliers, without any labeled information about inliers and outliers. It has been widely recognized…

Machine Learning · Statistics 2024-07-17 Dongha Kim , Jaesung Hwang , Jongjin Lee , Kunwoong Kim , Yongdai Kim

Deep learning models are known to be overconfident in their predictions on out of distribution inputs. There have been several pieces of work to address this issue, including a number of approaches for building Bayesian neural networks, as…

Machine Learning · Statistics 2018-12-04 Kumar Sricharan , Ashok Srivastava