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Robust estimation of the covariance matrix and detection of outliers remain major challenges in statistical data analysis, particularly when the proportion of contaminated observations increases with the size of the dataset. Outliers can…

统计方法学 · 统计学 2026-01-08 Paul Guillot , Antoine Godichon-Baggioni , Stéphane Robin , Laure Sansonnet

In extreme value theory and other related risk analysis fields, probability weighted moments (PWM) have been frequently used to estimate the parameters of classical extreme value distributions. This method-of-moment technique can be applied…

统计理论 · 数学 2023-06-21 Anna Ben-Hamou , Philippe Naveau , Maud Thomas

This paper considers the problem of recovering signals from compressed measurements contaminated with sparse outliers, which has arisen in many applications. In this paper, we propose a generative model neural network approach for…

信息论 · 计算机科学 2018-10-29 Jirong Yi , Anh Duc Le , Tianming Wang , Xiaodong Wu , Weiyu Xu

This paper deals with the problem of outliers in high frequency observation data from diffusion processes. Robust estimation methods are needed because the inclusion of outliers can lead to incorrect statistical inference even in the…

统计方法学 · 统计学 2026-03-06 Tomoyuki Nakagawa , Yusuke Shimizu

Outlying observations can be challenging to handle and adversely affect subsequent analyses, especially in data with increasing dimensional complexity. Although outliers are not always undesired anomalies in the data and may possess…

统计方法学 · 统计学 2025-09-18 Anthony-Alexander Christidis , Gabriela Cohen-Freue

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

计算机视觉与模式识别 · 计算机科学 2021-02-23 Huu Le , Christopher Zach

Outlier detection (OD) aims to identify abnormal instances, known as outliers or anomalies, by learning typical patterns of normal data, or inliers. Performing OD under an unsupervised regime-without any information about anomalous…

机器学习 · 统计学 2026-01-21 Minseo Kang , Seunghwan Park , Dongha Kim

We consider the problem of robustly fitting a model to data that includes outliers by formulating a percentile optimization problem. This problem is non-smooth and non-convex, hence hard to solve. We derive properties that the minimizers of…

信号处理 · 电气工程与系统科学 2024-05-16 João Domingos , João Xavier

Convolutional Neural Networks (ConvNets) have successfully contributed to improve the accuracy of regression-based methods for computer vision tasks such as human pose estimation, landmark localization, and object detection. The network…

计算机视觉与模式识别 · 计算机科学 2015-09-23 Vasileios Belagiannis , Christian Rupprecht , Gustavo Carneiro , Nassir Navab

Most existing robust fitting methods are designed for classical models, such as lines, circles, and planes. In contrast, fewer methods have been developed to robustly handle non-classical models, such as spiral curves, procedural character…

计算机视觉与模式识别 · 计算机科学 2026-02-06 Zongliang Zhang , Shuxiang Li , Xingwang Huang , Zongyue Wang

The presence of outliers is prevalent in machine learning applications and may produce misleading results. In this paper a new method for dealing with outliers and anomal samples is proposed. To overcome the outlier issue, the proposed…

机器学习 · 计算机科学 2016-07-05 Parsa Bagherzadeh , Hadi Sadoghi Yazdi

Polynomial regression is a recurrent problem with a large number of applications. In computer vision it often appears in motion analysis. Whatever the application, standard methods for regression of polynomial models tend to deliver biased…

计算机视觉与模式识别 · 计算机科学 2018-05-24 Juan-Manuel Perez-Rua , Tomas Crivelli , Patrick Bouthemy , Patrick Perez

Euclidean embedding from noisy observations containing outlier errors is an important and challenging problem in statistics and machine learning. Many existing methods would struggle with outliers due to a lack of detection ability. In this…

机器学习 · 统计学 2020-12-24 Qian Zhang , Xinyuan Zhao , Chao Ding

In this paper, we present IRON (Invariant-based global Robust estimation and OptimizatioN), a non-minimal and highly robust solution for point cloud registration with a great number of outliers among the correspondences. To realize this, we…

计算机视觉与模式识别 · 计算机科学 2021-04-21 Lei Sun

Graph matching (GM) has been a building block in various areas including computer vision and pattern recognition. Despite recent impressive progress, existing deep GM methods often have obvious difficulty in handling outliers, which are…

计算机视觉与模式识别 · 计算机科学 2023-03-02 Chang Liu , Zetian Jiang , Runzhong Wang , Junchi Yan , Lingxiao Huang , Pinyan Lu

Parameter estimation in robotics and computer vision faces formidable challenges from both outlier contamination and nonconvex optimization landscapes. While M-estimation addresses the problem of outliers through robust loss functions, it…

机器人学 · 计算机科学 2026-03-24 Zhexin Xu , Hanna Jiamei Zhang , Helena Calatrava , Pau Closas , David M. Rosen

We generalized a modified exponentialized estimator by pushing the robust-optimal (RO) index $\lambda$ to $-\infty$ for achieving robustness to outliers by optimizing a quasi-Minimin function. The robustness is realized and controlled…

机器学习 · 计算机科学 2023-10-19 Zhiguang Wang , Tim Oates , James Lo

The angular synchronization problem is to obtain an accurate estimation (up to a constant additive phase) for a set of unknown angles $\theta_1,...,\theta_n$ from $m$ noisy measurements of their offsets $\theta_i-\theta_j \mod 2\pi$. Of…

谱理论 · 数学 2009-11-20 Amit Singer

This paper proposes robust estimators of the variogram, a statistical tool that is commonly used in geostatistics to capture the spatial dependence structure of data. The new estimators are based on the highly robust minimum covariance…

统计方法学 · 统计学 2025-03-31 Jana Gierse , Roland Fried

Indoor localization is critical for IoT applications, yet challenges such as non-Gaussian noise, environmental interference, and measurement outliers hinder the robustness of traditional methods. Existing approaches, including Kalman…

系统与控制 · 电气工程与系统科学 2025-05-14 Zhiyi Zhou , Dongzhuo Liu , Songtao Guo , Yuanyuan Yang