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Discontinuous Galerkin (dG) methods on meshes consisting of polygonal/polyhedral (henceforth, collectively termed as \emph{polytopic}) elements have received considerable attention in recent years. Due to the physical frame basis functions…

数值分析 · 数学 2021-02-16 Zhaonan Dong , Emmanuil H. Georgoulis , Thomas Kappas

Inspired by the success of Google's Pregel, many systems have been developed recently for iterative computation over big graphs. These systems provide a user-friendly vertex-centric programming interface, where a programmer only needs to…

分布式、并行与集群计算 · 计算机科学 2016-01-22 Da Yan , Yuzhen Huang , James Cheng , Huanhuan Wu

We present a multi-GPU extension of the 3D Gaussian Splatting (3D-GS) pipeline for scientific visualization. Building on previous work that demonstrated high-fidelity isosurface reconstruction using Gaussian primitives, we incorporate a…

分布式、并行与集群计算 · 计算机科学 2025-09-08 Mengjiao Han , Andres Sewell , Joseph Insley , Janet Knowles , Victor A. Mateevitsi , Michael E. Papka , Steve Petruzza , Silvio Rizzi

In this paper, we explore the limits of graphics processors (GPUs) for general purpose parallel computing by studying problems that require highly irregular data access patterns: parallel graph algorithms for list ranking and connected…

分布式、并行与集群计算 · 计算机科学 2010-02-25 Frank Dehne , Kumanan Yogaratnam

Graph Neural Networks (GNNs) have achieved significant improvements in various domains. Sparse Matrix-Matrix multiplication (SpMM) is a fundamental operator in GNNs, which performs a multiplication between a sparse matrix and a dense…

分布式、并行与集群计算 · 计算机科学 2020-07-08 Guyue Huang , Guohao Dai , Yu Wang , Huazhong Yang

General Purpose Graphic Processing Unit(GPGPU) is used widely for achieving high performance or high throughput in parallel programming. This capability of GPGPUs is very famous in the new era and mostly used for scientific computing which…

分布式、并行与集群计算 · 计算机科学 2018-10-10 Vajira Thambawita , Roshan G. Ragel , Dhammike Elkaduwe

This paper presents a generalised and efficient wall boundary treatment in the smoothed particle hydrodynamics (SPH) method for 3-D complex and arbitrary geometries with single- and multi-phase flows to be executed on graphics processing…

计算物理 · 物理学 2022-09-14 Massoud Rezavand , Chi Zhang , Xiangyu Hu

We demonstrate that recent advances in reinforcement learning (RL) combined with simple architectural changes significantly improves generalization on the ProcGen benchmark. These changes are frame stacking, replacing 2D convolutional…

机器学习 · 计算机科学 2024-10-18 Andrew Jesson , Yiding Jiang

Convolution, a cornerstone of signal processing and optical neural networks, has traditionally been implemented by mapping mathematical operations onto complex hardware. Here, we overcome this challenge by revealing that wave dynamics in…

While graph-based dynamic programming (DP) is a cornerstone of genomics and network analytics, its efficiency is hampered by fundamentally conflicting computational patterns. Matrix-centric DP drives regular, compute-bound network…

硬件体系结构 · 计算机科学 2026-04-20 Yanru Chen , Runyang Tian , Zheyu Li , Mahbod Afarin , Weihong Xu , Tajana Rosing

Cosmic structure simulations have improved enormously over the past decade, both in terms of the resolution which can be achieved, and with the addition of hydrodynamic and other techniques to formerly purely gravitational methods. This is…

天体物理学 · 物理学 2007-05-23 H. M. P. Couchman

This work addresses a fundamental challenge in applying deep learning to power systems: developing neural network models that transfer across significant system changes, including networks with entirely different topologies and…

系统与控制 · 电气工程与系统科学 2025-09-11 Tong Wu , Anna Scaglione , Sandy Miguel , Daniel Arnold

Graph Neural Networks (GNNs) present a fundamental hardware challenge by fusing irregular, memory-bound graph traversals with regular, compute-intensive dense matrix operations. While frameworks such as PyTorch Geometric (PyG) and Deep…

机器学习 · 计算机科学 2026-05-27 Anubhab , Rupesh Nasre

Graph models are relevant in many fields, such as distributed computing, intelligent tutoring systems or social network analysis. In many cases, such models need to take changes in the graph structure into account, i.e. a varying number of…

人工智能 · 计算机科学 2018-10-09 Benjamin Paaßen , Christina Göpfert , Barbara Hammer

We introduce a new phenomenological one-scale model for the evolution of domain wall networks, and test it against high-resolution field theory numerical simulations. We argue that previous numerical estimates of wall velocities are…

高能物理 - 唯象学 · 物理学 2009-11-11 P. P. Avelino , C. J. A. P. Martins , J. C. R. E. Oliveira

Recent cosmological observations have achieved high-precision measurements of the Universe's expansion history, prompting the use of nonparametric methods such as Gaussian processes (GP) regression. We apply GP regression for reconstructing…

宇宙学与河外天体物理 · 物理学 2025-11-21 Jia-yan Jiang , Kang Jiao , Tong-Jie Zhang

This paper considers a convolutional neural network transformation that reduces computation complexity and thus speedups neural network processing. Usage of convolutional neural networks (CNN) is the standard approach to image recognition…

计算机视觉与模式识别 · 计算机科学 2020-02-19 Elena Limonova , Alexander Sheshkus , Dmitry Nikolaev

This paper proposes a concise coding of the cells of n-dimensional finite regular grids. It induces a simple, generic and efficient framework for implementing classical digital topology data structures and algorithms. Discrete subsets of…

离散数学 · 计算机科学 2009-06-16 Jacques-Olivier Lachaud

Spatial curvature is one of the fundamental cosmological parameters that is routinely constrained from observations. The forward modelling of observations, in particular of large-scale structure, often relies on large cosmological…

广义相对论与量子宇宙学 · 物理学 2026-03-10 Julian Adamek , Renan Boschetti

Mesh-based Graph Neural Networks (GNNs) have recently shown capabilities to simulate complex multiphysics problems with accelerated performance times. However, mesh-based GNNs require a large number of message-passing (MP) steps and suffer…

计算工程、金融与科学 · 计算机科学 2024-02-15 Roberto Perera , Vinamra Agrawal