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Solving combinatorial optimization problems on current noisy quantum devices is currently being advocated for (and restricted to) binary polynomial optimization with equality constraints via quantum heuristic approaches. This is achieved…

量子物理 · 物理学 2021-02-04 Claudio Gambella , Andrea Simonetto

We introduce a novel hybrid quantum-classical variational optimization method for unconstrained binary combinatorial optimization problems on gate-model quantum computers, integrating a custom variational ansatz, staged feedback-based dual…

This paper provides experimental experiences on two local search hybridized genetic algorithms in solving the uncapacitated examination timetabling problem. The proposed two hybrid algorithms use partition and priority based solution…

神经与进化计算 · 计算机科学 2023-06-02 Ayse Aslan

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

分布式、并行与集群计算 · 计算机科学 2024-09-18 Xinyao Yi

This paper addresses a quadratic problem with assignment constraints, an NP-hard combinatorial optimization problem arisen from facility location, multiple-input multiple-output detection, and maximum mean discrepancy calculation et al. The…

最优化与控制 · 数学 2025-12-15 Lijun Xie , Ran Gu , Xin Liu

A projection-based immersed boundary method is dominated by sparse linear algebra routines. Using the open-source Cusp library, we observe a speedup (with respect to a single CPU core) which reflects the constraints of a bandwidth-dominated…

计算工程、金融与科学 · 计算机科学 2016-04-12 Simon K Layton , Anush Krishnan , Lorena A. Barba

In this paper, we provide an affirmative answer to the long-standing question: Are GPUs useful in solving linear programming? We present cuPDLP.jl, a GPU implementation of restarted primal-dual hybrid gradient (PDHG) for solving linear…

最优化与控制 · 数学 2024-06-10 Haihao Lu , Jinwen Yang

Parallel computing can offer an enormous advantage regarding the performance for very large applications in almost any field: scientific computing, computer vision, databases, data mining, and economics. GPUs are high performance many-core…

分布式、并行与集群计算 · 计算机科学 2015-11-24 Bogdan Oancea , Tudorel Andrei , Raluca Mariana Dragoescu

Quantum computing is emerging as a new computing resource that could be superior to conventional computing for certain classes of optimization problems. However, in principle, most existing approaches to quantum optimization are intended to…

最优化与控制 · 数学 2022-01-21 Chin-Yao Chang , Eric Jones , Yiyun Yao , Peter Graf , Rishabh Jain

We design and implement a parallel algebraic multigrid method for isotropic graph Laplacian problems on multicore Graphical Processing Units (GPUs). The proposed AMG method is based on the aggregation framework. The setup phase of the…

数值分析 · 数学 2013-02-12 James Brannick , Yao Chen , Xiaozhe Hu , Ludmil Zikatanov

Quality-Diversity (QD) optimization algorithms are a well-known approach to generate large collections of diverse and high-quality solutions. However, derived from evolutionary computation, QD algorithms are population-based methods which…

神经与进化计算 · 计算机科学 2022-10-11 Bryan Lim , Maxime Allard , Luca Grillotti , Antoine Cully

In this work, we deal with the problem of computing a comprehensive front of efficient solutions in multi-objective portfolio optimization problems in presence of sparsity constraints. We start the discussion pointing out some weaknesses of…

最优化与控制 · 数学 2025-09-23 Arturo Annunziata , Matteo Lapucci , Pieluigi Mansueto , Davide Pucci

The geometric multigrid method (GMG) is one of the most efficient solving techniques for discrete algebraic systems arising from elliptic partial differential equations. GMG utilizes a hierarchy of grids or discretizations and reduces the…

数值分析 · 数学 2013-01-14 Chunsheng Feng , Shi Shu , Jinchao Xu , Chen-Song Zhang

A quantum algorithm for combinatorial search is presented that provides a simple framework for utilizing search heuristics. The algorithm is evaluated in a new case that is an unstructured version of the graph coloring problem. It performs…

量子物理 · 物理学 2009-10-06 Tad Hogg

We propose restarted accelerated primal-dual algorithms with (non-monotone) backtracking (rAPDB) for convex nonlinear conic programs, with quadratically constrained quadratic programs (QCQPs) as a special case. Unlike linear and quadratic…

最优化与控制 · 数学 2026-05-29 Necdet Serhat Aybat , Jinxin Wang

Future computing systems, from handhelds to supercomputers, will undoubtedly be more parallel and heterogeneous than todays systems to provide more performance and energy efficiency. Thus, GPUs are increasingly being used to accelerate…

分布式、并行与集群计算 · 计算机科学 2019-10-18 Saeed Taheri , Apan Qasem , Martin Burtscher

We extend variational quantum optimization algorithms for Quadratic Unconstrained Binary Optimization problems to the class of Mixed Binary Optimization problems. This allows us to combine binary decision variables with continuous decision…

量子物理 · 物理学 2021-09-13 Lee Braine , Daniel J. Egger , Jennifer Glick , Stefan Woerner

We study parallel algorithms for the minimization of Deterministic Finite Automata (DFAs). In particular, we implement four different massively parallel algorithms on Graphics Processing Units (GPUs). Our results confirm the expectations…

分布式、并行与集群计算 · 计算机科学 2024-10-31 Jan Martens , Anton Wijs

Gaussian Process bandit optimization has emerged as a powerful tool for optimizing noisy black box functions. One example in machine learning is hyper-parameter optimization where each evaluation of the target function requires training a…

机器学习 · 计算机科学 2016-11-15 Tarun Kathuria , Amit Deshpande , Pushmeet Kohli

Breadth-first search (BFS) is a fundamental graph algorithm that presents significant challenges for parallel implementation due to irregular memory access patterns, load imbalance and synchronization overhead. In this paper, we introduce a…

分布式、并行与集群计算 · 计算机科学 2025-03-04 Marati Bhaskar , Raghavendra Kanakagiri