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The human brain consists of a large number of interconnected neurons communicating via exchange of electrical spikes. Simulations play an important role in better understanding electrical activity in the brain and offers a way to to compare…

Quantitative Methods · Quantitative Biology 2018-11-07 Felix Huber

Over the most recent years, quantized graph neural network (QGNN) attracts lots of research and industry attention due to its high robustness and low computation and memory overhead. Unfortunately, the performance gains of QGNN have never…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-03 Yuke Wang , Boyuan Feng , Yufei Ding

Current graph neural networks (GNNs) lack generalizability with respect to scales (graph sizes, graph diameters, edge weights, etc..) when solving many graph analysis problems. Taking the perspective of synthesizing graph theory programs,…

Machine Learning · Computer Science 2020-10-27 Hao Tang , Zhiao Huang , Jiayuan Gu , Bao-Liang Lu , Hao Su

Not only with the large host memory for supporting large scale graph processing, GPU-accelerated heterogeneous architecture can also provide a great potential for high-performance computing. However, few existing heterogeneous systems can…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Xianliang Li

This paper presents our work on designing scalable linear solvers for large-scale reservoir simulations. The main objective is to support implementation of parallel reservoir simulators on distributed-memory parallel systems, where MPI…

Mathematical Software · Computer Science 2017-01-24 Hui Liu , Zhangxin Chen

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

Large-scale distributed graph-parallel computing is challenging. On one hand, due to the irregular computation pattern and lack of locality, it is hard to express parallelism efficiently. On the other hand, due to the scale-free nature,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-22 Jie Yan , Guangming Tan , Ninghui Sun

Sparse neural networks are shown to give accurate predictions competitive to denser versions, while also minimizing the number of arithmetic operations performed. However current hardware like GPU's can only exploit structured sparsity…

Machine Learning · Computer Science 2020-07-03 Dharma Teja Vooturi , Girish Varma , Kishore Kothapalli

The performance of graph programs depends highly on the algorithm, the size and structure of the input graphs, as well as the features of the underlying hardware. No single set of optimizations or one hardware platform works well across all…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-11 Ajay Brahmakshatriya , Yunming Zhang , Changwan Hong , Shoaib Kamil , Julian Shun , Saman Amarasinghe

[Abridged] We present the results of a highly parallel Kepler equation solver using the Graphics Processing Unit (GPU) on a commercial nVidia GeForce 280GTX and the "Compute Unified Device Architecture" programming environment. We apply…

Astrophysics · Physics 2008-12-17 Eric B. Ford

Graph Convolutional Networks (GCNs) have shown to be effective in handling unordered data like point clouds and meshes. In this work we propose novel approaches for graph convolution, pooling and unpooling, inspired from finite differences…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Moshe Eliasof , Eran Treister

Due to the irregular nature of connections in most graph datasets, partitioning graph analysis algorithms across multiple computational nodes that do not share a common memory inevitably leads to large amounts of interconnect traffic.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Nina Engelhardt , Hayden K. -H. So

In geometry processing, numerical optimization methods often involve solving sparse linear systems of equations. These linear systems have a structure that strongly resembles to adjacency graphs of the underlying mesh. We observe how…

Numerical Analysis · Computer Science 2015-10-06 Nicolas Ray , Sokolov Dmitry

Large linear systems are ubiquitous in modern computational science and engineering. The main recipe for solving them is the use of Krylov subspace iterative methods with well-designed preconditioners. Recently, GNNs have been shown to be a…

Machine Learning · Computer Science 2025-02-04 Vladislav Trifonov , Alexander Rudikov , Oleg Iliev , Yuri M. Laevsky , Ivan Oseledets , Ekaterina Muravleva

We study parallel particle-in-cell (PIC) methods for low-temperature plasmas (LTPs), which discretize kinetic formulations that capture the time evolution of the probability density function of particles as a function of position and…

Computational Engineering, Finance, and Science · Computer Science 2025-08-12 James Almgren-Bell , Nader Al Awar , Dilip S Geethakrishnan , Milos Gligoric , George Biros

In this work, we consider the solution of boundary integral equations by means of a scalable hierarchical matrix approach on clusters equipped with graphics hardware, i.e. graphics processing units (GPUs). To this end, we extend our…

Mathematical Software · Computer Science 2018-07-02 Helmut Harbrecht , Peter Zaspel

Graph neural networks (GNNs) process large-scale graphs consisting of a hundred billion edges. In contrast to traditional deep learning, unique behaviors of the emerging GNNs are engaged with a large set of graphs and embedding data on…

Hardware Architecture · Computer Science 2022-01-25 Miryeong Kwon , Donghyun Gouk , Sangwon Lee , Myoungsoo Jung

Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both approaches within high-speed flow solvers. The core…

Numerical Analysis · Mathematics 2025-09-09 Hongyu Liu , Xing Ji , Yuan Fu , Kun Xu

Graph Generation is a recently introduced enhanced Column Generation algorithm for solving expanded Linear Programming relaxations of mixed integer linear programs without weakening the expanded relaxations which characterize these methods.…

Optimization and Control · Mathematics 2022-02-04 Julian Yarkony , Amelia Regan

Optimization is crucial for MEC networks to function efficiently and reliably, most of which are NP-hard and lack efficient approximation algorithms. This leads to a paucity of optimal solution, constraining the effectiveness of…

Networking and Internet Architecture · Computer Science 2025-05-06 Ruihuai Liang , Bo Yang , Pengyu Chen , Xuelin Cao , Zhiwen Yu , Mérouane Debbah , Dusit Niyato , H. Vincent Poor , Chau Yuen