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Estimating location is a central problem in functional data analysis, yet most current estimation procedures either unrealistically assume completely observed trajectories or lack robustness with respect to the many kinds of anomalies one…

Methodology · Statistics 2022-03-24 Ioannis Kalogridis , Stefan Van Aelst

The ability to identify the static background in videos captured by a moving camera is an important pre-requisite for many video applications (e.g. video stabilization, stitching, and segmentation). Existing methods usually face…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Kaimo Lin , Nianjuan Jiang , Loong Fah Cheong , Jiangbo Lu , Xun Xu

Real-world network applications must cope with failing nodes, malicious attacks, or, somehow, nodes facing corrupted data --- classified as outliers. One enabling application is the geographic localization of the network nodes. However,…

Optimization and Control · Mathematics 2016-10-31 Cláudia Soares , João Gomes

It is possible to associate a highly constrained subset of relative 6 DoF poses between two 3D shapes, as long as the local surface orientation, the normal vector, is available at every surface point. Local shape features can be used to…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Anders Glent Buch , Lilita Kiforenko , Dirk Kraft

Multivariate location and scatter matrix estimation is a cornerstone in multivariate data analysis. We consider this problem when the data may contain independent cellwise and casewise outliers. Flat data sets with a large number of…

Statistics Theory · Mathematics 2014-06-24 Claudio Agostinelli , Andy Leung , Victor J. Yohai , Ruben H. Zamar

This paper presents a convolutional neural network based approach for estimating the relative pose between two cameras. The proposed network takes RGB images from both cameras as input and directly produces the relative rotation and…

Computer Vision and Pattern Recognition · Computer Science 2017-07-31 Iaroslav Melekhov , Juha Ylioinas , Juho Kannala , Esa Rahtu

We explore the connection between outlier-robust high-dimensional statistics and non-convex optimization in the presence of sparsity constraints, with a focus on the fundamental tasks of robust sparse mean estimation and robust sparse PCA.…

Machine Learning · Computer Science 2022-11-15 Yu Cheng , Ilias Diakonikolas , Rong Ge , Shivam Gupta , Daniel M. Kane , Mahdi Soltanolkotabi

This paper will serve as an introduction to the body of work on robust subspace recovery. Robust subspace recovery involves finding an underlying low-dimensional subspace in a dataset that is possibly corrupted with outliers. While this…

Machine Learning · Computer Science 2018-11-07 Gilad Lerman , Tyler Maunu

Camera calibration involves estimating camera parameters to infer geometric features from captured sequences, which is crucial for computer vision and robotics. However, conventional calibration is laborious and requires dedicated…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Kang Liao , Lang Nie , Shujuan Huang , Chunyu Lin , Jing Zhang , Yao Zhao , Moncef Gabbouj , Dacheng Tao

A technique for object localization based on pose estimation and camera calibration is presented. The 3-dimensional (3D) coordinates are estimated by collecting multiple 2-dimensional (2D) images of the object and are utilized for the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Taha Hasan Masood Siddique , Muhammad Usman

This work presents a fast and non-convex algorithm for robust subspace recovery. The data sets considered include inliers drawn around a low-dimensional subspace of a higher dimensional ambient space, and a possibly large portion of…

Machine Learning · Computer Science 2018-11-07 Gilad Lerman , Tyler Maunu

In recent years, anomaly detection has become an essential field in medical image analysis. Most current anomaly detection methods for medical images are based on image reconstruction. In this work, we propose a novel anomaly detection…

Computer Vision and Pattern Recognition · Computer Science 2023-01-20 Florentin Bieder , Julia Wolleb , Robin Sandkühler , Philippe C. Cattin

We study the problem of high-dimensional robust mean estimation in the presence of a constant fraction of adversarial outliers. A recent line of work has provided sophisticated polynomial-time algorithms for this problem with…

Machine Learning · Computer Science 2020-05-05 Yu Cheng , Ilias Diakonikolas , Rong Ge , Mahdi Soltanolkotabi

We study the ubiquitous super-resolution problem, in which one aims at localizing positive point sources in an image, blurred by the point spread function of the imaging device. To recover the point sources, we propose to solve a convex…

Information Theory · Computer Science 2020-09-08 Armin Eftekhari , Tamir Bendory , Gongguo Tang

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

This paper considers the problem of robust subspace recovery: given a set of $N$ points in $\mathbb{R}^D$, if many lie in a $d$-dimensional subspace, then can we recover the underlying subspace? We show that Tyler's M-estimator can be used…

Machine Learning · Statistics 2021-04-30 Teng Zhang

The use of local detectors and descriptors in typical computer vision pipelines work well until variations in viewpoint and appearance change become extreme. Past research in this area has typically focused on one of two approaches to this…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Udit Singh Parihar , Aniket Gujarathi , Kinal Mehta , Satyajit Tourani , Sourav Garg , Michael Milford , K. Madhava Krishna

This work presents two novel solvers for estimating the relative poses among views with known vertical directions. The vertical directions of camera views can be easily obtained using inertial measurement units (IMUs) which have been widely…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Tao Li , Zhenbao Yu , Banglei Guan , Jianli Han , Weimin Lv , Friedrich Fraundorfer

Visual place recognition is a critical task in computer vision, especially for localization and navigation systems. Existing methods often rely on contrastive learning: image descriptors are trained to have small distance for similar images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 María Leyva-Vallina , Nicola Strisciuglio , Nicolai Petkov

Suppose a given observation matrix can be decomposed as the sum of a low-rank matrix and a sparse matrix (outliers), and the goal is to recover these individual components from the observed sum. Such additive decompositions have…

Machine Learning · Statistics 2010-12-07 Daniel Hsu , Sham M. Kakade , Tong Zhang