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This work presents a novel and effective method for fitting multidimensional ellipsoids to scattered data in the contamination of noise and outliers. We approach the problem as a Bayesian parameter estimate process and maximize the…

Methodology · Statistics 2024-07-30 Zhao Mingyang , Jia Xiaohong , Ma Lei , Shi Yuke , Jiang Jingen , Li Qizhai , Yan Dong-Ming , Huang Tiejun

Matching 3D rigid point clouds in complex environments robustly and accurately is still a core technique used in many applications. This paper proposes a new architecture combining error estimation from sample covariances and dual global…

Computer Vision and Pattern Recognition · Computer Science 2017-07-28 Can Pu , Nanbo Li , Robert B Fisher

This work addresses the outlier removal problem in large-scale global structure-from-motion. In such applications, global outlier removal is very useful to mitigate the deterioration caused by mismatches in the feature point matching step.…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Fei Wen , Danping Zou , Rendong Ying , Peilin Liu

Outlier-robust estimation is a fundamental problem and has been extensively investigated by statisticians and practitioners. The last few years have seen a convergence across research fields towards "algorithmic robust statistics", which…

Machine Learning · Statistics 2022-12-19 Luca Carlone

Linear regression is ubiquitous in statistical analysis. It is well understood that conflicting sources of information may contaminate the inference when the classical normality of errors is assumed. The contamination caused by the light…

Methodology · Statistics 2019-06-13 Philippe Gagnon , Alain Desgagné , Mylène Bédard

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

Machine Learning · Statistics 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

Depth map fusion is an essential part in both stereo and RGB-D based 3-D reconstruction pipelines. Whether produced with a passive stereo reconstruction or using an active depth sensor, such as Microsoft Kinect, the depth maps have noise…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Markus Ylimäki , Juho Kannala , Janne Heikkilä

We present a framework that enables fast reconstruction and real-time rendering of urban-scale scenes while maintaining robustness against appearance variations across multi-view captures. Our approach begins with scene partitioning for…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Zhensheng Yuan , Haozhi Huang , Zhen Xiong , Di Wang , Guanghua Yang

We consider the problem of clustering datasets in the presence of arbitrary outliers. Traditional clustering algorithms such as k-means and spectral clustering are known to perform poorly for datasets contaminated with even a small number…

Machine Learning · Statistics 2021-02-02 Prateek R. Srivastava , Purnamrita Sarkar , Grani A. Hanasusanto

This study deals with the problem of outliers in ordinal response model, which is a regression on ordered categorical data as the response variable. ``Outlier" means that the combination of ordered categorical data and its covariates is…

Methodology · Statistics 2022-12-29 Tomotaka Momozaki , Tomoyuki Nakagawa

We consider the problem of clustering data points coming from sub-Gaussian mixtures. Existing methods that provably achieve the optimal mislabeling error, such as the Lloyd algorithm, are usually vulnerable to outliers. In contrast,…

Statistics Theory · Mathematics 2025-11-03 Soham Jana , Kun Yang , Sanjeev Kulkarni

This paper presents a novel approach for robust 3D tracking of multiple birds in an outdoor aviary using a multi-camera system. Our method addresses the challenges of visually similar birds and their rapid movements by leveraging…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Keon Moradi , Ethan Haque , Jasmeen Kaur , Alexandra B. Bentz , Eli S. Bridge , Golnaz Habibi

Sparse estimation methods capable of tolerating outliers have been broadly investigated in the last decade. We contribute to this research considering high-dimensional regression problems contaminated by multiple mean-shift outliers which…

Methodology · Statistics 2025-10-21 Luca Insolia , Ana Kenney , Francesca Chiaromonte , Giovanni Felici

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…

Robotics · Computer Science 2024-09-17 Lingjie Su , Wei Xu , Shuyang Zhao , Yuqi Cheng , Wenlong Li

This paper develops robust inference methods for predictive regressions that address key challenges posed by endogenously persistent or heavy-tailed regressors, as well as persistent volatility in errors. Building on the Cauchy estimation…

Econometrics · Economics 2026-04-21 Rustam Ibragimov , Jihyun Kim , Anton Skrobotov

Outlier rejection and equivalently inlier set optimization is a key ingredient in numerous applications in computer vision such as filtering point-matches in camera pose estimation or plane and normal estimation in point clouds. Several…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Dror Aiger , Simon Lynen , Jan Hosang , Bernhard Zeisl

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…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

With the growth of 3D sensing technology, deep learning system for 3D point clouds has become increasingly important, especially in applications like autonomous vehicles where safety is a primary concern. However, there are also growing…

Computer Vision and Pattern Recognition · Computer Science 2024-01-03 Xinke Li , Junchi Lu , Henghui Ding , Changsheng Sun , Joey Tianyi Zhou , Chee Yeow Meng

A common challenge faced in practical supervised learning, such as medical image processing and robotic interactions, is that there are plenty of tasks but each task cannot afford to collect enough labeled examples to be learned in…

Machine Learning · Computer Science 2020-06-22 Weihao Kong , Raghav Somani , Sham Kakade , Sewoong Oh

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…

Signal Processing · Electrical Eng. & Systems 2024-05-16 João Domingos , João Xavier