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Point sets matching method is very important in computer vision, feature extraction, fingerprint matching, motion estimation and so on. This paper proposes a robust point sets matching method. We present an iterative algorithm that is…

Computer Vision and Pattern Recognition · Computer Science 2014-11-05 Xiao Liu , Congying Han , Tiande Guo

Anderson acceleration (or Anderson mixing) is an efficient acceleration method for fixed point iterations $x_{t+1}=G(x_t)$, e.g., gradient descent can be viewed as iteratively applying the operation $G(x) \triangleq x-\alpha\nabla f(x)$. It…

Optimization and Control · Mathematics 2020-03-03 Zhize Li , Jian Li

Model Predictive Control (MPC) offers rigorous safety and performance guarantees but is computationally intensive. Approximate MPC (AMPC) aims to circumvent this drawback by learning a computationally cheaper surrogate policy. Common…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Elias Milios , Kim P. Wabersich , Felix Berkel , Felix Gruber , Melanie N. Zeilinger

The Adaptive Cross Approximation (ACA) method is widely used to approximate admissible blocks of hierarchical matrices, or H-matrices, from discretized operators in the boundary integral method. These matrices are fully populated, making…

Numerical Analysis · Mathematics 2025-02-07 Vladislav A. Yastrebov , Camille Noûs

Approximate computing has shown to provide new ways to improve performance and power consumption of error-resilient applications. While many of these applications can be found in image processing, data classification or machine learning, we…

Numerical Analysis · Computer Science 2017-03-08 Michael Lass , Thomas D. Kühne , Christian Plessl

Point cloud registration (PCR) is an essential task in 3D vision. Existing methods achieve increasingly higher accuracy. However, a large proportion of non-overlapping points in point cloud registration consume a lot of computational…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Yang Ai , Qiang Bai , Jindong Li , Xi Yang

Minimizing both the worst-case and average execution times of optimization algorithms is equally critical in real-time optimization-based control applications such as model predictive control (MPC). Most MPC solvers have to trade off…

Optimization and Control · Mathematics 2025-10-07 Liang Wu , Yunhong Che , Richard D. Braatz , Jan Drgona

The reconstruction of sparse signals from a limited set of measurements poses a significant challenge as it necessitates a solution to an underdetermined system of linear equations. Compressed sensing (CS) deals with sparse signal…

Information Theory · Computer Science 2025-05-22 Salman Habib , Remi Chou , Taejoon Kim

In SLAM (Simultaneous localization and mapping) problems, Pose Graph Optimization (PGO) is a technique to refine an initial estimate of a set of poses (positions and orientations) from a set of pairwise relative measurements. The…

Robotics · Computer Science 2024-08-19 Emilio Olivastri , Alberto Pretto

The expectation-maximization (EM) algorithm is a well-known iterative method for computing maximum likelihood estimates from incomplete data. Despite its numerous advantages, a main drawback of the EM algorithm is its frequently observed…

Computation · Statistics 2018-08-14 Nicholas C. Henderson , Ravi Varadhan

Integer programming (IP) is an important and challenging problem. Approximate methods have shown promising performance on both effectiveness and efficiency for solving the IP problem. However, we observed that a large fraction of variables…

Discrete Mathematics · Computer Science 2022-07-06 Longkang Li , Baoyuan Wu

In this work, we extend a modified Anderson acceleration proposed in [Y. He, arXiv:2603.25983, 2026] to accelerate the Picard iteration for the Navier-Stokes equations. In this variant of Anderson acceleration, named AAg, the nonlinear…

Numerical Analysis · Mathematics 2026-05-19 Yunhui He , Leo Rebholz

Iterative methods are ubiquitous in large-scale scientific computing applications, and a number of approaches based on meta-learning have been recently proposed to accelerate them. However, a systematic study of these approaches and how…

Numerical Analysis · Mathematics 2023-01-31 Sohei Arisaka , Qianxiao Li

An arc-search interior-point method is a type of interior-point methods that approximates the central path by an ellipsoidal arc, and it can often reduce the number of iterations. In this work, to further reduce the number of iterations and…

Optimization and Control · Mathematics 2024-02-22 Einosuke Iida , Makoto Yamashita

Crowd counting and localization have become increasingly important in computer vision due to their wide-ranging applications. While point-based strategies have been widely used in crowd counting methods, they face a significant challenge,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 I-Hsiang Chen , Wei-Ting Chen , Yu-Wei Liu , Ming-Hsuan Yang , Sy-Yen Kuo

In this letter, an accelerated quadratic programming (QP) algorithm is proposed based on the proximal gradient method. The algorithm can achieve convergence rate $O(1/p^{\alpha})$, where $p$ is the iteration number and $\alpha$ is the given…

Optimization and Control · Mathematics 2022-01-25 Jia Wang , Ying Yang

In the context of 3D mapping, larger and larger point clouds are acquired with LIDAR sensors. The Iterative Closest Point (ICP) algorithm is used to align these point clouds. However, its complexity is directly dependent of the number of…

Robotics · Computer Science 2019-01-29 Mathieu Labussiere , Johann Laconte , François Pomerleau

In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an $H_+$-matrix, we present appropriate criteria for the convergence…

Optimization and Control · Mathematics 2023-05-05 Bharat Kumar , Deepmala , A. K. Das

In the development of industrial digital twins, the optimization problem of technological and business processes often arises. In many cases, this problem can be reduced to a large-scale linear programming (LP) problem. The article is…

Optimization and Control · Mathematics 2021-02-16 Leonid B. Sokolinsky , Irina M. Sokolinskaya

Asynchronous iterative methods tolerate straggling processors by allowing workers to proceed with stale data, but at a cost: the iterates become inconsistent, potentially degrading convergence. We investigate whether convergence…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-28 Evan Coleman , Masha Sosonkina