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The alternating direction multiplier method (ADMM) is widely used in computer graphics for solving optimization problems that can be nonsmooth and nonconvex. It converges quickly to an approximate solution, but can take a long time to…

Optimization and Control · Mathematics 2020-06-29 Wenqing Ouyang , Yue Peng , Yuxin Yao , Juyong Zhang , Bailin Deng

We consider approximate dynamic programming in $\gamma$-discounted Markov decision processes and apply it to approximate planning with linear value-function approximation. Our first contribution is a new variant of Approximate Policy…

Machine Learning · Computer Science 2022-10-31 Gellért Weisz , András György , Tadashi Kozuno , Csaba Szepesvári

Fixpoints are ubiquitous in computer science and when dealing with quantitative semantics and verification one often considers least fixpoints of (higher-dimensional) functions over the non-negative reals. We show how to approximate the…

Logic in Computer Science · Computer Science 2025-06-16 Paolo Baldan , Sebastian Gurke , Barbara König , Tommaso Padoan , Florian Wittbold

In this paper, we propose an acceleration framework for a class of iterative methods using the Reduced Order Method (ROM). Assuming that the underlying iterative scheme generates a rich basis for the solution space, we construct the next…

Numerical Analysis · Mathematics 2025-12-01 Kazufumi Ito , Tiancheng Xue

Modern data mining applications require to perform incremental clustering over dynamic datasets by tracing temporal changes over the resulting clusters. In this paper, we propose A-Posteriori affinity Propagation (APP), an incremental…

Machine Learning · Computer Science 2024-01-29 Silvana Castano , Alfio Ferrara , Stefano Montanelli , Francesco Periti

In this work, we introduce and study the $p$-$\alpha$-closest-center problem ($p\alpha$CCP), which generalizes the $p$-second-center problem, a recently emerged variant of the classical $p$-center problem. In the $p\alpha$CCP, we are given…

Optimization and Control · Mathematics 2026-03-16 Elisabeth Gaar , Sara Joosten , Markus Sinnl

Previous methods solve feature matching and pose estimation using a two-stage process by first finding matches and then estimating the pose. As they ignore the geometric relationships between the two tasks, they focus on either improving…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Fei Xue , Ignas Budvytis , Roberto Cipolla

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

This paper proposes an accelerated version of Feasible Sequential Linear Programming (FSLP): the AA($d$)-FSLP algorithm. FSLP preserves feasibility in all intermediate iterates by means of an iterative update strategy which is based on…

Optimization and Control · Mathematics 2024-07-08 David Kiessling , Pieter Pas , Alejandro Astudillo , Panagiotis Patrinos , Jan Swevers

Benefiting from its high efficiency and simplicity, Simple Linear Iterative Clustering (SLIC) remains one of the most popular over-segmentation tools. However, due to explicit enforcement of spatial similarity for region continuity, the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Jiaxing Zhao , Ren Bo , Qibin Hou , Ming-Ming Cheng , Paul L. Rosin

In recent years, terrestrial laser scanning technology has been widely used to collect tree point cloud data, aiding in measurements of diameter at breast height, biomass, and other forestry survey data. Since a single scan from terrestrial…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Jing Ren , Pei Wang , Hanlong Li , Yuhan Wu , Yuhang Gao , Wenxin Chen , Mingtai Zhang , Lingyun Zhang

The Improved Partial Area-Analytical Calculation (IPA-AC) method represents a leading meshfree discretization strategy for peridynamic models, distinguished by its rigorous geometric treatment of boundary intersections via dual corrections…

Numerical Analysis · Mathematics 2026-03-20 Xiuzhu Yang , Xiaobo Yin

Computing saddle points with a prescribed Morse index on potential energy surfaces is crucial for characterizing transition states for nosie-induced rare transition events in physics and chemistry. Many numerical algorithms for this type of…

Optimization and Control · Mathematics 2025-01-28 Shuting Gu , Hao Zhang , Xiaoqun Zhang , Xiang Zhou

We consider an inertial primal-dual fixed point algorithm (IPDFP) to compute the minimizations of the following Problem (1.1). This is a full splitting approach, in the sense that the nonsmooth functions are processed individually via their…

Optimization and Control · Mathematics 2016-04-20 Meng Wen , Yu-Chao Tang , Jigen Peng

Empirical results show that Anderson acceleration (AA) can be a powerful mechanism to improve the asymptotic linear convergence speed of the Alternating Direction Method of Multipliers (ADMM) when ADMM by itself converges linearly. However,…

Optimization and Control · Mathematics 2020-12-01 Dawei Wang , Yunhui He , Hans De Sterck

Cross-coupled iterative learning control (ILC) can achieve high performance for manufacturing applications in which tracking a contour is essential for the quality of a product. The aim of this paper is to develop a framework for…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Leontine Aarnoudse , Johan Kon , Koen Classens , Max van Meer , Maurice Poot , Paul Tacx , Nard Strijbosch , Tom Oomen

The Anderson Mixing (AM) method is a popular approach for accelerating fixed-point iterations by leveraging historical information from previous steps. In this paper, we introduce the Riemannian Anderson Mixing (RAM) method, an extension of…

Optimization and Control · Mathematics 2023-09-13 Zanyu Li , Chenglong Bao

The ICP registration algorithm has been a preferred method for LiDAR-based robot localization for nearly a decade. However, even in modern SLAM solutions, ICP can degrade and become unreliable in geometrically ill-conditioned environments.…

Robotics · Computer Science 2025-07-15 Turcan Tuna , Julian Nubert , Patrick Pfreundschuh , Cesar Cadena , Shehryar Khattak , Marco Hutter

In this paper we present a novel joint approach for optimising surface curvature and pose alignment. We present two implementations of this joint optimisation strategy, including a fast implementation that uses two frames and an offline…

Computer Vision and Pattern Recognition · Computer Science 2017-07-17 Andrew Spek , Tom Drummond

BoostConv has been introduced in earlier works as an effective acceleration technique for nonlinear iterative processes and has been successfully employed in a variety of applications to enhance convergence rates or to compute unstable…

Numerical Analysis · Mathematics 2026-03-24 Vincenzo Citro , Davide Palitta