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Related papers: Robust Chauvenet Outlier Rejection

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Traditional techniques for calculating outstanding claim liabilities such as the chain ladder are notoriously at risk of being distorted by outliers in past claims data. Unfortunately, the literature in robust methods of reserving is scant,…

Methodology · Statistics 2023-09-04 Benjamin Avanzi , Mark Lavender , Greg Taylor , Bernard Wong

The Minimum Covariance Determinant (MCD) approach robustly estimates the location and scatter matrix using the subset of given size with lowest sample covariance determinant. Its main drawback is that it cannot be applied when the dimension…

Methodology · Statistics 2021-01-13 Kris Boudt , Peter J. Rousseeuw , Steven Vanduffel , Tim Verdonck

This document is an evaluation of the original "Rank-N-Contrast" (arXiv:2210.01189v2) paper published in 2023. This evaluation is done for academic purposes. Deep regression models often fail to capture the continuous nature of sample…

Machine Learning · Computer Science 2025-06-24 Valentin Six , Alexandre Chidiac , Arkin Worlikar

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

Methodology · Statistics 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

In many real-world applications, data come with corruptions, large errors or outliers. One popular approach is to use L1-norm function. However, the robustness of L1-norm function is not well understood so far. In this paper, we present a…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Chris Ding , Bo Jiang

Outlier feature matches and loop-closures that survived front-end data association can lead to catastrophic failures in the back-end optimization of large-scale point cloud based 3D reconstruction. To alleviate this problem, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2019-05-24 Ziquan Lan , Zi Jian Yew , Gim Hee Lee

The Kepler DR25 planet candidate catalog was produced using an automated method of planet candidate identification based on various tests. These tests were tuned to obtain a reasonable but arbitrary balance between catalog completeness and…

Earth and Planetary Astrophysics · Physics 2020-10-21 Steve Bryson , Jeffrey L. Coughlin , Michelle Kunimoto , Susan E. Mullally

In this paper, we propose an optimal rejection method for rejecting ambiguous samples by a rejection function. This rejection function is trained together with a classification function under the framework of Learning-with-Rejection (LwR).…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Xiaotong Ji , Yuchen Zheng , Daiki Suehiro , Seiichi Uchida

Correctly classifying adversarial examples is an essential but challenging requirement for safely deploying machine learning models. As reported in RobustBench, even the state-of-the-art adversarially trained models struggle to exceed 67%…

Machine Learning · Computer Science 2022-04-01 Tianyu Pang , Huishuai Zhang , Di He , Yinpeng Dong , Hang Su , Wei Chen , Jun Zhu , Tie-Yan Liu

Functional magnetic resonance imaging (fMRI) data contain high levels of noise and artifacts. To avoid contamination of downstream analyses, fMRI-based studies must identify and remove these noise sources prior to statistical analysis. One…

Methodology · Statistics 2023-05-03 Fatma Parlak , Damon D. Pham , Amanda F. Mejia

Extracting the underlying trend signal is a crucial step to facilitate time series analysis like forecasting and anomaly detection. Besides noise signal, time series can contain not only outliers but also abrupt trend changes in real-world…

Machine Learning · Computer Science 2019-06-28 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Jian Tan

We consider coordinate descent methods on convex quadratic problems, in which exact line searches are performed at each iteration. (This algorithm is identical to Gauss-Seidel on the equivalent symmetric positive definite linear system.) We…

Optimization and Control · Mathematics 2020-01-14 Stephen J. Wright , Ching-Pei Lee

We study the problem of robust estimation under heterogeneous corruption rates, where each sample may be independently corrupted with a known but non-identical probability. This setting arises naturally in distributed and federated…

Machine Learning · Computer Science 2025-10-02 Syomantak Chaudhuri , Jerry Li , Thomas A. Courtade

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

The Seemingly Unrelated Regressions (SUR) model is a wide used estimation procedure in econometrics, insurance and finance, where very often, the regression model contains more than one equation. Unknown parameters, regression coefficients…

Methodology · Statistics 2021-07-05 Giovanni Saraceno , Fatemah Alqallaf , Claudio Agostinelli

Robust Principal Component Analysis (PCA) has received massive attention in recent years. It aims to recover a low-rank matrix and a sparse matrix from their sum. This paper proposes a novel nonconvex Robust PCA algorithm, coined Riemannian…

Machine Learning · Statistics 2023-02-28 Keaton Hamm , Mohamed Meskini , HanQin Cai

We consider online convex optimization when a number k of data points are outliers that may be corrupted. We model this by introducing the notion of robust regret, which measures the regret only on rounds that are not outliers. The aim for…

Machine Learning · Computer Science 2021-08-31 Tim van Erven , Sarah Sachs , Wouter M. Koolen , Wojciech Kotłowski

We consider outlier-robust and sparse estimation of linear regression coefficients, when the covariates and the noises are contaminated by adversarial outliers and noises are sampled from a heavy-tailed distribution. Our results present…

Statistics Theory · Mathematics 2024-05-27 Takeyuki Sasai , Hironori Fujisawa

We study the problem of outlier correspondence pruning for non-rigid point cloud registration. In rigid registration, spatial consistency has been a commonly used criterion to discriminate outliers from inliers. It measures the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Zheng Qin , Hao Yu , Changjian Wang , Yuxing Peng , Kai Xu

In this paper, we identify the criteria for the selection of the minimal and most efficient covariate adjustment sets for the regression calibration method developed by Carroll, Rupert and Stefanski (CRS, 1992), used to correct bias due to…

Methodology · Statistics 2024-01-17 Wenze Tang , Donna Spiegelman , Yujie Wu , Molin Wang