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Pseudo-arclength continuation is a well-established method for generating a numerical curve approximating the solution of an underdetermined system of nonlinear equations. It is an inherently sequential predictor-corrector method in which…

数值分析 · 数学 2013-12-13 Dhavide Aruliah , Lennaert van Veen , Alex Dubitski

We present new refinement heuristics for the balanced graph partitioning problem that break with an age-old rule. Traditionally, local search only permits moves that keep the block sizes balanced (below a size constraint). In this work, we…

社会与信息网络 · 计算机科学 2025-05-13 Nikolai Maas , Lars Gottesbüren , Daniel Seemaier

We present two parallel optimization algorithms for a convex function $f$. The first algorithm optimizes over linear inequality constraints in a Hilbert space, $\mathbb H$, and the second over a non convex polyhedron in $\mathbb R^n$. The…

最优化与控制 · 数学 2025-10-22 E. Dov Neimand , Serban Sabau

Since their introduction, anchoring methods in extragradient-type saddlepoint problems have inspired a flurry of research due to their ability to provide order-optimal rates of accelerated convergence in very general problem settings. Such…

最优化与控制 · 数学 2025-06-10 James Alcala , Yat Tin Chow , Mahesh Sunkula

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

系统与控制 · 电气工程与系统科学 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

In this paper, we study parallel algorithms for the correlation clustering problem, where every pair of two different entities is labeled with similar or dissimilar. The goal is to partition the entities into clusters to minimize the number…

数据结构与算法 · 计算机科学 2023-07-14 Nairen Cao , Shang-En Huang , Hsin-Hao Su

Trajectory optimization is a widely used technique in robot motion planning for letting the dynamics and constraints on the system shape and synthesize complex behaviors. Several previous works have shown its benefits in high-dimensional…

机器人学 · 计算机科学 2024-03-19 Ramkumar Natarajan , Shohin Mukherjee , Howie Choset , Maxim Likhachev

This work proposes an efficient parallel algorithm for non-monotone submodular maximization under a knapsack constraint problem over the ground set of size $n$. Our algorithm improves the best approximation factor of the existing parallel…

人工智能 · 计算机科学 2024-09-09 Tan D. Tran , Canh V. Pham , Dung T. K. Ha , Phuong N. H. Pham

As datasets continue to increase in size and multi-core computer architectures are developed, asynchronous parallel optimization algorithms become more and more essential to the field of Machine Learning. Unfortunately, conducting the…

最优化与控制 · 数学 2019-03-26 Rémi Leblond , Fabian Pedregosa , Simon Lacoste-Julien

Several works have shown linear speedup is achieved by an asynchronous parallel implementation of stochastic coordinate descent so long as there is not too much parallelism. More specifically, it is known that if all updates are of similar…

最优化与控制 · 数学 2020-11-23 Yun Kuen Cheung , Richard Cole , Yixin Tao

In this paper, we propose a new framework for designing fast parallel algorithms for fundamental statistical subset selection tasks that include feature selection and experimental design. Such tasks are known to be weakly submodular and are…

机器学习 · 计算机科学 2021-04-02 Sharon Qian , Yaron Singer

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

分布式、并行与集群计算 · 计算机科学 2012-09-03 Lev Kazakovtsev

We present an efficient approximate message passing solver for the lifted disjoint paths problem (LDP), a natural but NP-hard model for multiple object tracking (MOT). Our tracker scales to very large instances that come from long and…

计算机视觉与模式识别 · 计算机科学 2021-08-25 Andrea Hornakova , Timo Kaiser , Paul Swoboda , Michal Rolinek , Bodo Rosenhahn , Roberto Henschel

The Low Autocorrelation Binary Sequence problem has applications in telecommunications, is of theoretical interest to physicists, and has inspired many optimisation researchers. Metaheuristics for the problem have progressed greatly in…

人工智能 · 计算机科学 2013-07-24 S. D. Prestwich

In this work we show that randomized (block) coordinate descent methods can be accelerated by parallelization when applied to the problem of minimizing the sum of a partially separable smooth convex function and a simple separable convex…

最优化与控制 · 数学 2013-11-27 Peter Richtárik , Martin Takáč

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

分布式、并行与集群计算 · 计算机科学 2014-09-05 Ciaran McCreesh , Patrick Prosser

We study scattering quantum walks on highly symmetric graphs and use the walks to solve search problems on these graphs. The particle making the walk resides on the edges of the graph, and at each time step scatters at the vertices. All of…

量子物理 · 物理学 2009-01-27 Daniel Reitzner , Mark Hillery , Edgar Feldman , Vladimir Buzek

We study multi-marginal optimal transport (MOT) problems where the underlying cost has a graphical structure. These graphical multi-marginal optimal transport problems have found applications in several domains including traffic flow…

最优化与控制 · 数学 2025-12-02 Jiaojiao Fan , Isabel Haasler , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

数值分析 · 数学 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

Markov chain Monte Carlo is an inherently serial algorithm. Although likelihood calculations for individual steps can sometimes be parallelized, the serial evolution of the process is widely viewed as incompatible with parallelization,…

统计计算 · 统计学 2013-12-31 Douglas N. VanDerwerken , Scott C. Schmidler