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Motion detection has been widely used in many applications, such as surveillance and robotics. Due to the presence of the static background, a motion video can be decomposed into a low-rank background and a sparse foreground. Many…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Jing Qin , Biyun Xie

Model averaging (MA) and ensembling play a crucial role in statistical and machine learning practice. When multiple candidate models are considered, MA techniques can be used to weight and combine them, often resulting in improved…

Statistics Theory · Mathematics 2025-05-06 Jingfu Peng

Robust classification becomes challenging when each class consists of multiple subclasses. Examples include multi-font optical character recognition and automated protein function prediction. In correlation-based nearest-neighbor…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Taehoon Lee , Taesup Moon , Seung Jean Kim , Sungroh Yoon

Principal component analysis (PCA) is recognised as a quintessential data analysis technique when it comes to describing linear relationships between the features of a dataset. However, the well-known sensitivity of PCA to non-Gaussian…

Machine Learning · Statistics 2019-10-28 Jean P. Chereau , Bruno Scalzo Dees , Danilo P. Mandic

Purpose: To develop a computationally viable autofocus method for estimating 3D rigid motion in MR imaging. Theory and Methods: The proposed method, REACT, assumes a piecewise-constant motion trajectory and estimates the rigid motion…

Image and Video Processing · Electrical Eng. & Systems 2026-03-25 Kwang Eun Jang , Dwight G. Nishimura

This paper presents two computationally efficient algorithms for the orientation estimation of inertial measurement units (IMUs): the correntropy-based gradient descent (CGD) and the correntropy-based decoupled orientation estimation…

Systems and Control · Electrical Eng. & Systems 2024-02-28 Shilei Li , Lijing Li , Dawei Shi , Yunjiang Lou , Ling Shi

As a well-established adaptation criterion, the maximum correntropy criterion (MCC) has been receiving increasing attention due to its robust against outliers. In this paper, a new complex recursive maximum correntropy (CRMC) algorithm…

Systems and Control · Computer Science 2017-02-27 Lu Lu , Haiquan Zhao

Optimization methods for long-horizon, dynamically feasible motion planning in robotics tackle challenging non-convex and discontinuous optimization problems. Traditional methods often falter due to the nonlinear characteristics of these…

Robotics · Computer Science 2026-03-19 Akshay Jaitly , Siavash Farzan

We propose an efficient way of solving optimal control problems for rigid-body systems on the basis of inverse dynamics and the multiple-shooting method. We treat all variables, including the state, acceleration, and control input torques,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

This paper addresses optimization problems constrained by partial differential equations with uncertain coefficients. In particular, the robust control problem and the average control problem are considered for a tracking type cost…

Optimization and Control · Mathematics 2017-11-08 Andreas Van Barel , Stefan Vandewalle

We introduce a novel approach addressing global analysis of a difficult class of nonconvex-nonsmooth optimization problems within the important framework of Lagrangian-based methods. This genuine nonlinear class captures many problems in…

Optimization and Control · Mathematics 2018-01-10 Jérôme Bolte , Shoham Sabach , Marc Teboulle

We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose areas are preserved throughout time. The foundation of the method is a thresholding algorithm of the Bence-Merriman-Osher…

Numerical Analysis · Mathematics 2012-04-30 Karel Svadlenka , Elliott Ginder , Seiro Omata

We present an efficient solver for diffeomorphic image registration problems in the framework of Large Deformations Diffeomorphic Metric Mappings (LDDMM). We use an optimal control formulation, in which the velocity field of a hyperbolic…

Computer Vision and Pattern Recognition · Computer Science 2017-11-02 Andreas Mang , Lars Ruthotto

Sparseness and robustness are two important properties for many machine learning scenarios. In the present study, regarding the maximum correntropy criterion (MCC) based robust regression algorithm, we investigate to integrate the MCC…

Machine Learning · Computer Science 2023-11-22 Yuanhao Li , Badong Chen , Okito Yamashita , Natsue Yoshimura , Yasuharu Koike

The growing demand for structural health monitoring has driven increasing interest in high-precision motion measurement, as structural information derived from extracted motions can effectively reflect the current condition of the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Hongyi Liu , Haifeng Wang

Image registration is important for medical imaging, the estimation of the spatial transformation between different images. Many previous studies have used learning-based methods for coarse-to-fine registration to efficiently perform 3D…

Image and Video Processing · Electrical Eng. & Systems 2024-07-23 Jian-Qing Zheng , Ziyang Wang , Baoru Huang , Ngee Han Lim , Bartlomiej W. Papiez

Multi-view point cloud registration is a hot topic in the communities of multimedia technology and artificial intelligence (AI). In this paper, we propose a framework to reconstruct the 3D models by the multi-view point cloud registration…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Yaochen Li , Ying Liu , Rui Sun , Rui Guo , Li Zhu , Yong Qi

We consider the problem of risk-sensitive motion planning in the presence of randomly moving obstacles. To this end, we adopt a model predictive control (MPC) scheme and pose the obstacle avoidance constraint in the MPC problem as a…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

Registration of multi-view point sets is a prerequisite for 3D model reconstruction. To solve this problem, most of previous approaches either partially explore available information or blindly utilize unnecessary information to align each…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Jihua Zhu , Jing Zhang , Huimin Lu , Zhongyu Li

Inverse imaging problems (IIPs) arise in various applications, with the main objective of reconstructing an image from its compressed measurements. This problem is often ill-posed for being under-determined with multiple interchangeably…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Xiwen Chen , Wenhui Zhu , Peijie Qiu , Abolfazl Razi