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This paper considers the problem of robustly estimating the parameters of a heavy-tailed multivariate distribution when the covariance matrix is known to have the structure of a low-rank matrix plus a diagonal matrix as considered in factor…

Computation · Statistics 2019-09-30 Rui Zhou , Junyan Liu , Sandeep Kumar , Daniel P. Palomar

Many traditional methods for identifying changepoints can struggle in the presence of outliers, or when the noise is heavy-tailed. Often they will infer additional changepoints in order to fit the outliers. To overcome this problem, data…

Methodology · Statistics 2017-07-12 Paul Fearnhead , Guillem Rigaill

Mobile devices equipped with a multi-camera system and an inertial measurement unit (IMU) are widely used nowadays, such as self-driving cars. The task of relative pose estimation using visual and inertial information has important…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Zhenbao Yu , Banglei Guan , Shunkun Liang , Zibin Liu , Yang Shang , Qifeng Yu

As a unique biometric that can be perceived at a distance, gait has broad applications in person authentication, social security, and so on. Existing gait recognition methods suffer from changes in viewpoint and clothing and barely consider…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Jingqi Li , Jiaqi Gao , Yuzhen Zhang , Hongming Shan , Junping Zhang

In this paper we address the challenging problem of designing globally convergent estimators for the parameters of nonlinear systems containing a non-separable exponential nonlinearity. This class of terms appears in many practical…

Dynamical Systems · Mathematics 2022-11-17 Romeo Ortega , Alexey Bobtsov , Ramon Costa-Castello , Nikolay Nikolaev

Many computer vision and human-computer interaction applications developed in recent years need evaluating complex and continuous mathematical functions as an essential step toward proper operation. However, rigorous evaluation of this kind…

Optimization and Control · Mathematics 2017-11-10 Daniel Berjón , Guillermo Gallego , Carlos Cuevas , Francisco Morán , Narciso García

Motion estimation across low-resolution frames and the reconstruction of high-resolution images are two coupled subproblems of multi-frame super-resolution. This paper introduces a new joint optimization approach for motion estimation and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-07 Cosmin Bercea , Andreas Maier , Thomas Köhler

Open gantry C-arm systems that are placed within the interventional room enable 3-D imaging and guidance for stroke therapy without patient transfer. This can profit in drastically reduced time-totherapy, however, due to the interventional…

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

Heckman selection model is perhaps the most popular econometric model in the analysis of data with sample selection. The analyses of this model are based on the normality assumption for the error terms, however, in some applications, the…

Methodology · Statistics 2020-06-16 Victor H. Lachos Davila , Marcos O. Prates , Dipak K. Dey

Outlying curves often occur in functional or longitudinal datasets, and can be very influential on parameter estimators and very hard to detect visually. In this article we introduce estimators of the mean and the principal components that…

Applications · Statistics 2010-11-03 Daniel Gervini

Appearance-based detectors achieve remarkable performance on common scenes, but tend to fail for scenarios lack of training data. Geometric motion segmentation algorithms, however, generalize to novel scenes, but have yet to achieve…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Gengshan Yang , Deva Ramanan

Motion planning is an essential aspect of autonomous systems and robotics and is an active area of research. A recently-proposed sampling-based motion planning algorithm, termed 'Generalized Shape Expansion' (GSE), has been shown to possess…

Robotics · Computer Science 2021-02-24 Adhvaith Ramkumar , Vrushabh Zinage , Satadal Ghosh

A new moving mesh scheme based on the Lagrange-Galerkin method for the approximation of the one-dimensional convection-diffusion equation is studied. The mesh movement, which is prescribed by a discretized dynamical system for the nodal…

Numerical Analysis · Mathematics 2024-02-26 Kharisma Surya Putri , Tatsuki Mizuochi , Niklas Kolbe , Hirofumi Notsu

In this paper, we consider the problem of minimizing the sum of two convex functions subject to linear linking constraints. The classical alternating direction type methods usually assume that the two convex functions have relatively easy…

Optimization and Control · Mathematics 2015-07-10 Tianyi Lin , Shiqian Ma , Shuzhong Zhang

Camera rotation estimation from a single image is a challenging task, often requiring depth data and/or camera intrinsics, which are generally not available for in-the-wild videos. Although external sensors such as inertial measurement…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Aalok Patwardhan , Callum Rhodes , Gwangbin Bae , Andrew J. Davison

The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

Methodology · Statistics 2026-02-11 Max Welz

Fitness functions map large combinatorial spaces of biological sequences to properties of interest. Inferring these multimodal functions from experimental data is a central task in modern protein engineering. Global epistasis models are an…

Populations and Evolution · Quantitative Biology 2024-10-17 David H. Brookes , Jakub Otwinowski , Sam Sinai

Household robots have been a longstanding research topic, but they still lack human-like intelligence, particularly in manipulating open-set objects and navigating large environments efficiently and accurately. To push this boundary, we…

Robotics · Computer Science 2025-07-22 Ruochu Yang , Yu Zhou , Fumin Zhang , Mengxue Hou

Stable estimation of rigid body pose and velocities from noisy measurements, without any knowledge of the dynamics model, is treated using the Lagrange-d'Alembert principle from variational mechanics. With body-fixed optical and inertial…

Optimization and Control · Mathematics 2015-09-17 Maziar Izadi , Amit Kumar Sanyal , Ernest Barany , Sasi Prabhakaran Viswanathan
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