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Robust PCA, the problem of PCA in the presence of outliers has been extensively investigated in the last few years. Here we focus on Robust PCA in the outlier model where each column of the data matrix is either an inlier or an outlier.…

机器学习 · 统计学 2019-05-01 Vishnu Menon , Sheetal Kalyani

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

机器人学 · 计算机科学 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Robust estimators of large covariance matrices are considered, comprising regularized (linear shrinkage) modifications of Maronna's classical M-estimators. These estimators provide robustness to outliers, while simultaneously being…

统计理论 · 数学 2018-07-04 Nicolas Auguin , David Morales-Jimenez , Matthew R. McKay , Romain Couillet

Spatial perception is the backbone of many robotics applications, and spans a broad range of research problems, including localization and mapping, point cloud alignment, and relative pose estimation from camera images. Robust spatial…

机器学习 · 统计学 2019-07-31 Vasileios Tzoumas , Pasquale Antonante , Luca Carlone

We describe a variation of the iterative closest point (ICP) algorithm for aligning two point sets under a set of transformations. Our algorithm is superior to previous algorithms because (1) in determining the optimal alignment, it…

图形学 · 计算机科学 2009-09-29 Jeff M. Phillips , Ran Liu , Carlo Tomasi

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…

计算机视觉与模式识别 · 计算机科学 2017-05-30 Chris Ding , Bo Jiang

Principal component analysis (PCA) is widely used for dimensionality reduction, with well-documented merits in various applications involving high-dimensional data, including computer vision, preference measurement, and bioinformatics. In…

机器学习 · 统计学 2013-10-01 Gonzalo Mateos , Georgios B. Giannakis

State estimation of dynamical systems from noisy observations is a fundamental task in many applications. It is commonly addressed using the linear Kalman filter (KF), whose performance can significantly degrade in the presence of outliers…

信号处理 · 电气工程与系统科学 2024-08-27 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

Nonlinear estimation in robotics and vision is typically plagued with outliers due to wrong data association, or to incorrect detections from signal processing and machine learning methods. This paper introduces two unifying formulations…

计算机视觉与模式识别 · 计算机科学 2021-07-05 Pasquale Antonante , Vasileios Tzoumas , Heng Yang , Luca Carlone

Conformal prediction is a flexible framework for calibrating machine learning predictions, providing distribution-free statistical guarantees. In outlier detection, this calibration relies on a reference set of labeled inlier data to…

机器学习 · 统计学 2025-06-17 Meshi Bashari , Matteo Sesia , Yaniv Romano

Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outliers in the data. Even a few outliers can compromise the…

机器学习 · 统计学 2015-05-27 Pedro A. Forero , Vassilis Kekatos , Georgios B. Giannakis

This paper evaluates algorithms for classification and outlier detection accuracies in temporal data. We focus on algorithms that train and classify rapidly and can be used for systems that need to incorporate new data regularly. Hence, we…

机器学习 · 统计学 2018-05-03 Victoria J. Hodge , Jim Austin

In robotic inspection, joint registration of multiple point clouds is an essential technique for estimating the transformation relationships between measured parts, such as multiple blades in a propeller. However, the presence of noise and…

机器人学 · 计算机科学 2024-09-17 Lingjie Su , Wei Xu , Shuyang Zhao , Yuqi Cheng , Wenlong Li

Outliers widely occur in big-data applications and may severely affect statistical estimation and inference. In this paper, a framework of outlier-resistant estimation is introduced to robustify an arbitrarily given loss function. It has a…

统计方法学 · 统计学 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen

We take up optimality results for robust Kalman filtering from Ruckdeschel[2001,2010] where robustness is understood in a distributional sense, i.e.; we enlarge the distribution assumptions made in the ideal model by suitable neighborhoods,…

统计计算 · 统计学 2010-04-23 Peter Ruckdeschel

The maximum correntropy criterion (MCC) has recently been successfully applied in robust regression, classification and adaptive filtering, where the correntropy is maximized instead of minimizing the well-known mean square error (MSE) to…

机器学习 · 统计学 2017-11-27 Badong Chen , Lei Xing , Haiquan Zhao , Bin Xu , Jose C. Principe

Indoor positioning faces ongoing challenges due to complex propagation conditions, such as multipath propagation, signal blockages, and intrinsic target characteristics that substantially impact measurement reliability and positioning…

信号处理 · 电气工程与系统科学 2026-03-23 Maximiliano Rivera Figueroa , Jannis Held , Pradyumna Kumar Bishoyi , Marina Petrova

Learning in the presence of outliers is a fundamental problem in statistics. Until recently, all known efficient unsupervised learning algorithms were very sensitive to outliers in high dimensions. In particular, even for the task of robust…

数据结构与算法 · 计算机科学 2019-11-15 Ilias Diakonikolas , Daniel M. Kane

This paper is concerned with the online estimation of a nonlinear dynamic system from a series of noisy measurements. The focus is on cases wherein outliers are present in-between normal noises. We assume that the outliers follow an unknown…

统计计算 · 统计学 2019-05-14 Bin Liu

Most of the regularization methods such as the LASSO have one (or more) regularization parameter(s), and to select the value of the regularization parameter is essentially equal to select a model. Thus, to obtain a model suitable for the…

统计方法学 · 统计学 2025-11-07 Sumito Kurata , Kei Hirose
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