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Gaussian Process (GP) models are widely used for Robotic Information Gathering (RIG) in exploring unknown environments due to their ability to model complex phenomena with non-parametric flexibility and accurately quantify prediction…

Robotics · Computer Science 2024-06-07 Weizhe Chen , Lantao Liu , Roni Khardon

Real-time 3D reconstruction is crucial for robotics and augmented reality, yet current simultaneous localization and mapping(SLAM) approaches often struggle to maintain structural consistency and robust pose estimation in the presence of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Xu Wang , Boyao Han , Xiaojun Chen , Ying Liu , Ruihui Li

We study the problem of extracting accurate correspondences for point cloud registration. Recent keypoint-free methods have shown great potential through bypassing the detection of repeatable keypoints which is difficult to do especially in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Zheng Qin , Hao Yu , Changjian Wang , Yulan Guo , Yuxing Peng , Slobodan Ilic , Dewen Hu , Kai Xu

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

Machine Learning · Computer Science 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

It is meaningful to detect outliers in traffic data for traffic management. However, this is a massive task for people from large-scale database to distinguish outliers. In this paper, we present two methods: Kernel Smoothing Na\"ive Bayes…

Computer Vision and Pattern Recognition · Computer Science 2015-12-29 Philip Lam , Lili Wang , Henry Y. T. Ngan , Nelson H. C. Yung , Anthony G. O. Yeh

How to extract significant point cloud features and estimate the pose between them remains a challenging question, due to the inherent lack of structure and ambiguous order permutation of point clouds. Despite significant improvements in…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Zhu Xu , Zhengyao Bai , Huijie Liu , Qianjie Lu , Shenglan Fan

Point set registration is a key component in many computer vision tasks. The goal of point set registration is to assign correspondences between two sets of points and to recover the transformation that maps one point set to the other.…

Computer Vision and Pattern Recognition · Computer Science 2010-11-09 Andriy Myronenko , Xubo Song

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

Estimating the rigid transformation with 6 degrees of freedom based on a putative 3D correspondence set is a crucial procedure in point cloud registration. Existing correspondence identification methods usually lead to large outlier ratios…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Tianyu Huang , Haoang Li , Liangzu Peng , Yinlong Liu , Yun-Hui Liu

Image segmentation is a crucial but challenging task that has many applications. In medical imaging for instance, intensity inhomogeneity and noise are common. In thigh muscle images, different muscles are closed packed together and there…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Haifeng Li , Weihong Guo , Jun Liu , Li Cui , Dongxing Xie

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

Robotic manipulation systems benefit from complementary sensing modalities, where each provides unique environmental information. Point clouds capture detailed geometric structure, while RGB images provide rich semantic context. Current…

Multiview point cloud registration is a fundamental task for constructing globally consistent 3D models. Existing approaches typically rely on feature extraction and data association across multiple point clouds; however, these processes…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Yiran Zhou , Yingyu Wang , Shoudong Huang , Liang Zhao

Recovering physical properties of objects in motion is a core task across scientific and industrial applications. When the relative motion between the object and the sensing apparatus provides sufficient angular coverage, Computerized…

Numerical Analysis · Mathematics 2026-05-19 Daniel Burrows , Can Evren Yarman , Ozan Öktem

The Gaussian mixture model (GMM) provides a simple yet principled framework for clustering, with properties suitable for statistical inference. In this paper, we propose a new model-based clustering algorithm, called EGMM (evidential GMM),…

Machine Learning · Computer Science 2022-11-29 Lianmeng Jiao , Thierry Denoeux , Zhun-ga Liu , Quan Pan

This paper is concerned with the modeling errors appeared in the numerical methods of inverse medium scattering problems (IMSP). Optimization based iterative methods are wildly employed to solve IMSP, which are computationally intensive due…

Numerical Analysis · Mathematics 2021-02-23 Junxiong Jia , Bangyu Wu , Jigen Peng , Jinghuai Gao

In this work we solve the problem of robustly learning a high-dimensional Gaussian mixture model with $k$ components from $\epsilon$-corrupted samples up to accuracy $\widetilde{O}(\epsilon)$ in total variation distance for any constant $k$…

Machine Learning · Computer Science 2021-11-16 Allen Liu , Ankur Moitra

In this paper, we introduce a new outlier removal method that fully leverages geometric and semantic information, to achieve robust registration. Current semantic-based registration methods only use semantics for point-to-point or instance…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Guiyu Zhao , Zhentao Guo , Hongbin Ma

We present a point set registration method in bounded domains based on the solution to the Fokker Planck equation. Our approach leverages (i) density estimation based on Gaussian mixture models; (ii) a stabilized finite element…

Numerical Analysis · Mathematics 2024-12-13 Angelo Iollo , Tommaso Taddei

Gaussian mixture models form a flexible and expressive parametric family of distributions that has found applications in a wide variety of applications. Unfortunately, fitting these models to data is a notoriously hard problem from a…

Statistics Theory · Mathematics 2023-01-05 Yuling Yan , Kaizheng Wang , Philippe Rigollet
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