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State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

Machine Learning · Computer Science 2025-06-16 Aamir Hussain Chughtai

In recent years the machine learning techniques have shown a great potential in various problems from a multitude of disciplines, including materials design and drug discovery. The high computational speed on the one hand and the accuracy…

Chemical Physics · Physics 2018-05-09 Konstantin Gubaev , Evgeny V. Podryabinkin , Alexander V. Shapeev

This paper considers the problem of matrix completion when the observed entries are noisy and contain outliers. It begins with introducing a new optimization criterion for which the recovered matrix is defined as its solution. This…

Machine Learning · Statistics 2017-12-29 Raymond K. W. Wong , Thomas C. M. Lee

In many real-world applications, data usually contain outliers. One popular approach is to use L2,1 norm function as a robust error/loss function. However, the robustness of L2,1 norm function is not well understood so far. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Bo Jiang , Chris Ding

Outlier detection is a well-researched and crucial problem in machine learning. However, there is little research on string data outlier detection, as most literature focuses on outlier detection of numerical data. A robust string data…

Machine Learning · Computer Science 2026-03-13 Philip Maus

Circle fitting methods are extensively utilized in various industries, particularly in quality control processes and design applications. The effectiveness of these algorithms can be significantly compromised when the point sets to be…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Ahmet Gökhan Poyraz

Registration is a basic yet crucial task in point cloud processing. In correspondence-based point cloud registration, matching correspondences by point feature techniques may lead to an extremely high outlier ratio. Current methods still…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Li Yan , Pengcheng Wei , Hong Xie , Jicheng Dai , Hao Wu , Ming Huang

Learning-based outlier (mismatched correspondence) rejection for robust 3D registration generally formulates the outlier removal as an inlier/outlier classification problem. The core for this to be successful is to learn the discriminative…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Haobo Jiang , Zheng Dang , Zhen Wei , Jin Xie , Jian Yang , Mathieu Salzmann

In this paper, an outlier elimination algorithm for ellipse/ellipsoid fitting is proposed. This two-stage algorithm employs a proximity-based outlier detection algorithm (using the graph Laplacian), followed by a model-based outlier…

Methodology · Statistics 2009-10-27 Jieqi Yu , Haipeng Zheng , Sanjeev R. Kulkarni , H. Vincent Poor

Robust change-point detection for large-scale data streams has many real-world applications in industrial quality control, signal detection, biosurveillance. Unfortunately, it is highly non-trivial to develop efficient schemes due to three…

Methodology · Statistics 2021-10-18 Ruizhi Zhang , Yajun Mei , Jianjun Shi

A common situation in filtering where classical Kalman filtering does not perform particularly well is tracking in the presence of propagating outliers. This calls for robustness understood in a distributional sense, i.e.; we enlarge the…

Statistics Theory · Mathematics 2014-01-28 Peter Ruckdeschel , Bernhard Spangl , Daria Pupashenko

We propose a general solution to the problem of robust Bayesian inference in complex settings where outliers may be present. In practice, the automation of robust Bayesian analyses is important in the many applications involving large and…

Methodology · Statistics 2022-04-15 Jeremie Houssineau , David J. Nott

The Ripper algorithm is designed to generate rule sets for large datasets with many features. However, it was shown that the algorithm struggles with classification performance in the presence of missing data. The algorithm struggles to…

Machine Learning · Computer Science 2011-08-24 Mlungisi Duma , Bhekisipho Twala , Tshilidzi Marwala

In SLAM (Simultaneous localization and mapping) problems, Pose Graph Optimization (PGO) is a technique to refine an initial estimate of a set of poses (positions and orientations) from a set of pairwise relative measurements. The…

Robotics · Computer Science 2024-08-19 Emilio Olivastri , Alberto Pretto

Outliers are ubiquitous in modern data sets. Distance-based techniques are a popular non-parametric approach to outlier detection as they require no prior assumptions on the data generating distribution and are simple to implement. Scaling…

Machine Learning · Statistics 2016-05-04 Mario Lucic , Olivier Bachem , Andreas Krause

Outlier detection for high-dimensional (HD) data is a popular topic in modern statistical research. However, one source of HD data that has received relatively little attention is functional magnetic resonance images (fMRI), which consists…

Methodology · Statistics 2016-10-25 Amanda F. Mejia , Mary Beth Nebel , Ani Eloyan , Brian Caffo , Martin A. Lindquist

In robust decision-making under non-Bayesian uncertainty, different robust optimization criteria, such as maximin performance, minimax regret, and maximin ratio, have been proposed. In many problems, all three criteria are well-motivated…

Optimization and Control · Mathematics 2024-03-20 Jerry Anunrojwong , Santiago R. Balseiro , Omar Besbes

Principal component analysis (PCA) is known to be sensitive to outliers, so that various robust PCA variants were proposed in the literature. A recent model, called REAPER, aims to find the principal components by solving a convex…

Numerical Analysis · Mathematics 2021-03-19 Robert Beinert , Gabriele Steidl

Robust regression models in the presence of outliers have significant practical relevance in areas such as signal processing, financial econometrics, and energy management. Many existing robust regression methods, either grounded in…

Signal Processing · Electrical Eng. & Systems 2025-06-30 Pengyang Song , Jue Wang

We present CLIPPER (Consistent LInking, Pruning, and Pairwise Error Rectification), a framework for robust data association in the presence of noise and outliers. We formulate the problem in a graph-theoretic framework using the notion of…

Robotics · Computer Science 2021-04-12 Parker C. Lusk , Kaveh Fathian , Jonathan P. How
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