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We present a powerful and easy-to-implement iterative algorithm for solving large-scale optimization problems that involve $L_1$/total-variation (TV) regularization. The method is based on combining the Alternating Directions Method of…

Optimization and Control · Mathematics 2016-02-23 Musa Maharramov , Stewart A. Levin

The estimation of correspondences between two images resp. point sets is a core problem in computer vision. One way to formulate the problem is graph matching leading to the quadratic assignment problem which is NP-hard. Several so called…

Computer Vision and Pattern Recognition · Computer Science 2015-05-01 Quynh Nguyen , Antoine Gautier , Matthias Hein

This article introduces new acceleration methods for fixed-point iterations. Extrapolations are computed using two or three mappings alternately and a new type of step length is proposed with good properties for nonlinear applications. The…

Optimization and Control · Mathematics 2021-08-17 Nicolas Lepage-Saucier

Human trajectory anomaly detection has become increasingly important across a wide range of applications, including security surveillance and public health. However, existing trajectory anomaly detection methods are primarily focused on…

Machine Learning · Computer Science 2024-11-05 Yueyang Liu , Lance Kennedy , Hossein Amiri , Andreas Züfle

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

Machine Learning · Computer Science 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

Robotics · Computer Science 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

A revised version of the quaternion approach for numerical integration of the equations of motion for rigid polyatomic molecules is proposed. The modified approach is based on a formulation of the quaternion dynamics with constraints. This…

Computational Physics · Physics 2009-10-31 Igor P. Omelyan

Accurate uncertainty estimation associated with the pose transformation between two 3D point clouds is critical for autonomous navigation, grasping, and data fusion. Iterative closest point (ICP) is widely used to estimate the…

Robotics · Computer Science 2020-04-20 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

Sparsity is a common issue in many trajectory datasets, including human mobility data. This issue frequently brings more difficulty to relevant learning tasks, such as trajectory imputation and prediction. Nowadays, little existing work…

Machine Learning · Computer Science 2023-01-13 Kyle K. Qin , Yongli Ren , Wei Shao , Brennan Lake , Filippo Privitera , Flora D. Salim

The state-of-the-art methods for solving optimization problems in big dimensions are variants of randomized coordinate descent (RCD). In this paper we introduce a fundamentally new type of acceleration strategy for RCD based on the…

Optimization and Control · Mathematics 2018-02-13 Dmitry Kovalev , Eduard Gorbunov , Elnur Gasanov , Peter Richtárik

Recent progress on action recognition has mainly focused on RGB and optical flow features. In this paper, we approach the problem of joint-based action recognition. Unlike other modalities, constellation of joints and their motion generate…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Anshul Shah , Shlok Mishra , Ankan Bansal , Jun-Cheng Chen , Rama Chellappa , Abhinav Shrivastava

We consider the problem of cooperative motion coordination for multiple heterogeneous mobile vehicles subject to various constraints. These include nonholonomic motion constraints, constant speed constraints, holonomic coordination…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Zhiyong Sun , Marcus Greiff , Anders Robertsson , Rolf Johansson , Brian D. O. Anderson

Motion prediction of surrounding vehicles is one of the most important tasks handled by a self-driving vehicle, and represents a critical step in the autonomous system necessary to ensure safety for all the involved traffic actors. Recently…

Robotics · Computer Science 2020-06-16 Sai Yalamanchi , Tzu-Kuo Huang , Galen Clark Haynes , Nemanja Djuric

Predicting the motion of other road agents enables autonomous vehicles to perform safe and efficient path planning. This task is very complex, as the behaviour of road agents depends on many factors and the number of possible future…

Compared to contact sensors-based motion measurement, vision-based motion measurement has advantages of low cost and high efficiency and have been under active development in the past decades. This paper provides a review on existing motion…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Hongyi Liu , Haifeng Wang

A new self-learning algorithm for accelerated dynamics, reconnaissance metadynamics, is proposed that is able to work with a very large number of collective coordinates. Acceleration of the dynamics is achieved by constructing a bias…

Computational Physics · Physics 2010-10-15 Gareth A. Tribello , Michele Ceriotti , Michele Parrinello

This paper proposes a metric for sets of trajectories to evaluate multi-object tracking algorithms that includes time-weighted costs for localisation errors of properly detected targets, for false targets, missed targets and track switches.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Ángel F. García-Fernández , Abu Sajana Rahmathullah , Lennart Svensson

Recent advances in data analytics and computer-aided diagnostics stimulate the vision of patient-centric precision healthcare, where treatment plans are customized based on the health records and needs of every patient. In physical…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Yalin Liao , Aleksandar Vakanski , Min Xian , David Paul , Russell Baker

The robust conjugate direction search (RCDS) method has high tolerance to noise in beam experiments. It has been demonstrated that this method can be used to optimize the machine performance of a light source online. In our study, taking…

Accelerator Physics · Physics 2016-04-19 Hong-Fei Ji , Yi Jiao , Sheng Wang , Da-Heng Ji , Cheng-Hui Yu , Yuan Zhang , Xiao-Biao Huang

A new formula for the probability that a standard Brownian motion stays between two linear boundaries is proved. A simple algorithm is deduced. Uniform precision estimates are computed. Different implementations have been made available…

Probability · Mathematics 2016-12-20 Bernard Ycart , Rémy Drouilhet
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