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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…

Optimization and Control · Mathematics 2024-06-10 Haihao Lu , Jinwen Yang

Recent studies have shown that Binary Graph Neural Networks (GNNs) are promising for saving computations of GNNs through binarized tensors. Prior work, however, mainly focused on algorithm designs or training techniques, leaving it open to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-06 Jou-An Chen , Hsin-Hsuan Sung , Xipeng Shen , Sutanay Choudhury , Ang Li

Dynamic programming (DP) is a cornerstone of combinatorial optimization, yet its inherently sequential structure has long limited its scalability in scenario-based stochastic programming (SP). This paper introduces a GPU-accelerated…

Optimization and Control · Mathematics 2025-11-25 Jingyi Zhao , Linxin Yang , Haohua Zhang , Tian Ding

We present a scheme for the parallelization of quantum Monte Carlo on graphical processing units, focusing on bosonic systems and variational Monte Carlo. We use asynchronous execution schemes with shared memory persistence, and obtain an…

Computational Physics · Physics 2014-12-10 Y. Lutsyshyn

Many artificial intelligence (AI) devices have been developed to accelerate the training and inference of neural networks models. The most common ones are the Graphics Processing Unit (GPU) and Tensor Processing Unit (TPU). They are highly…

Machine Learning · Computer Science 2022-10-25 xiangyang Ju , Yunsong Wang , Daniel Murnane , Nicholas Choma , Steven Farrell , Paolo Calafiura

With high computation power and memory bandwidth, graphics processing units (GPUs) lend themselves to accelerate data-intensive analytics, especially when such applications fit the single instruction multiple data (SIMD) model. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Hang Liu , H. Howie Huang

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

Computational Physics · Physics 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

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…

Numerical Analysis · Mathematics 2013-01-14 Chunsheng Feng , Shi Shu , Jinchao Xu , Chen-Song Zhang

FPGA-based hardware accelerators for convolutional neural networks (CNNs) have obtained great attentions due to their higher energy efficiency than GPUs. However, it is challenging for FPGA-based solutions to achieve a higher throughput…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-09 Yixing Li , Zichuan Liu , Kai Xu , Hao Yu , Fengbo Ren

I present HPRMAT, a high-performance solver library for the linear systems arising in R-matrix coupled-channel scattering calculations in nuclear physics. Designed as a drop-in replacement for the linear algebra routines in existing…

Computational Physics · Physics 2025-12-15 Jin Lei

Evaluating high-dimensional integrals via deep hierarchical recurrences is a dominant cost in quantum chemistry. While CPUs manage these efficiently, GPUs suffer a critical mismatch: limited per-thread memory is quickly overwhelmed by an…

Computational Physics · Physics 2026-05-14 Yihong Zhang , Xinran Wei , Junshi Chen , Fusong Ju , Wei Hu , Jinlong Yang , Huanhuan Xia

Core decomposition is a well-established graph mining problem with various applications that involves partitioning the graph into hierarchical subgraphs. Solutions to this problem have been developed using both bottom-up and top-down…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-26 Chen Zhao , Ting Yu , Zhigao Zheng , Song Jin , Jiawei Jiang , Bo Du , Dacheng Tao

Practical aperture synthesis imaging algorithms work by iterating between estimating the sky brightness distribution and a comparison of a prediction based on this estimate with the measured data ("visibilities"). Accuracy in the latter…

Instrumentation and Methods for Astrophysics · Physics 2021-02-26 Karel Adámek , Peter Wortmann , Bojan Nikolic , Ben Mort , Wesley Armour

Graph Pattern Mining (GPM) extracts higher-order information in a large graph by searching for small patterns of interest. GPM applications are computationally expensive, and thus attractive for GPU acceleration. Unfortunately, due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-28 Xuhao Chen , Arvind

We present a set of rules to guide the design of GPU algorithms. These rules are grounded on the principle of reducing waste in GPU utility to achieve good speed up. In accordance to these rules, we propose GPU algorithms for 2D…

Graphics · Computer Science 2020-07-02 Zhenghai Chen , Tiow-Seng Tan , Hong-Yang Ong

Graph analytics are vital in fields such as social networks, biomedical research, and graph neural networks (GNNs). However, traditional CPUs and GPUs struggle with the memory bottlenecks caused by large graph datasets and their…

Hardware Architecture · Computer Science 2024-11-25 Oluwole Jaiyeoba , Abdullah T. Mughrabi , Morteza Baradaran , Beenish Gul , Kevin Skadron

Finite element schemes based on discontinuous Galerkin methods possess features amenable to massively parallel computing accelerated with general purpose graphics processing units (GPUs). However, the computational performance of such…

Computational Physics · Physics 2016-04-20 Axel Modave , Amik St-Cyr , Tim Warburton

This paper represents the first investigation of the suitability and performance of Graphcore Intelligence Processing Units (IPUs) for deep learning applications in cosmology. It presents the benchmark between a Nvidia V100 GPU and a…

Computational Physics · Physics 2021-06-07 Bastien Arcelin

Nonuniform fast Fourier transforms dominate the computational cost in many applications including image reconstruction and signal processing. We thus present a general-purpose GPU-based CUDA library for type 1 (nonuniform to uniform) and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 Yu-hsuan Shih , Garrett Wright , Joakim Andén , Johannes Blaschke , Alex H. Barnett

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Kasia Świrydowicz , Nicholson Koukpaizan , Maksudul Alam , Shaked Regev , Michael Saunders , Slaven Peleš
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