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We present a computational method for extreme-scale simulations of incompressible turbulent wall flows at high Reynolds numbers. The numerical algorithm extends a popular method for solving second-order finite differences Poisson/Helmholtz…

流体动力学 · 物理学 2025-08-07 Rafael Diez Sanhueza , Jurriaan Peeters , Pedro Costa

Distributed deep learning workloads include throughput-intensive training tasks on the GPU clusters, where the Distributed Stochastic Gradient Descent (SGD) incurs significant communication delays after backward propagation, forces workers…

分布式、并行与集群计算 · 计算机科学 2021-03-16 Cheng Luo , Lei Qu , Youshan Miao , Peng Cheng , Yongqiang Xiong

The performance and efficiency of distributed training of Deep Neural Networks highly depend on the performance of gradient averaging among all participating nodes, which is bounded by the communication between nodes. There are two major…

分布式、并行与集群计算 · 计算机科学 2021-02-10 Linnan Wang , Wei Wu , Junyu Zhang , Hang Liu , George Bosilca , Maurice Herlihy , Rodrigo Fonseca

Modeling of turbulent flows is still challenging. One way to deal with the large scale separation due to turbulence is to simulate only the large scales and model the unresolved contributions as done in large-eddy simulation (LES). This…

计算物理 · 物理学 2019-10-03 Mathis Bode , Michael Gauding , Konstantin Kleinheinz , Heinz Pitsch

In this paper, we investigate the combination of multigrid methods and neural networks, starting from a Finite Element discretization of an elliptic PDE. Multigrid methods use interpolation operators to transfer information between…

数值分析 · 数学 2021-09-14 Claudio Tomasi , Rolf Krause

In this paper, we evaluate training of deep recurrent neural networks with half-precision floats. We implement a distributed, data-parallel, synchronous training algorithm by integrating TensorFlow and CUDA-aware MPI to enable execution…

机器学习 · 计算机科学 2019-12-03 Alexey Svyatkovskiy , Julian Kates-Harbeck , William Tang

With the hardware support for half-precision arithmetic on NVIDIA V100 GPUs, high-performance computing applications can benefit from lower precision at appropriate spots to speed up the overall execution time. In this paper, we investigate…

数学软件 · 计算机科学 2020-07-16 Kyaw L. Oo , Andreas Vogel

Efficiently solving Poisson equations on complex, irregular domains remains a fundamental challenge in scientific computing, as classical iterative solvers often suffer from prohibitive runtime due to ill-conditioned systems. While neural…

机器学习 · 计算机科学 2026-05-26 Bocheng Zeng , Rui Zhang , Runze Mao , Mengtao Yan , Xuan Bai , Yang Liu , Zhi X. Chen , Hao Sun

The exponential growth in use of large deep neural networks has accelerated the need for training these deep neural networks in hours or even minutes. This can only be achieved through scalable and efficient distributed training, since a…

This paper introduces decentralized and modular neural network framework designed to enhance the scalability, interpretability, and performance of artificial intelligence (AI) systems. At the heart of this framework is a dynamic switch…

神经与进化计算 · 计算机科学 2025-04-28 Surajit Majumder , Paritosh Ranjan , Prodip Roy , Bhuban Padhan

Graph Convolutional Networks (GCNs), particularly for large-scale graphs, are crucial across numerous domains. However, training distributed full-batch GCNs on large-scale graphs suffers from inefficient memory access patterns and high…

分布式、并行与集群计算 · 计算机科学 2025-05-27 Chen Zhuang , Lingqi Zhang , Du Wu , Peng Chen , Jiajun Huang , Xin Liu , Rio Yokota , Nikoli Dryden , Toshio Endo , Satoshi Matsuoka , Mohamed Wahib

We introduce novel communication strategies in synchronous distributed Deep Learning consisting of decentralized gradient reduction orchestration and computational graph-aware grouping of gradient tensors. These new techniques produce an…

Distributed deep learning systems (DDLS) train deep neural network models by utilizing the distributed resources of a cluster. Developers of DDLS are required to make many decisions to process their particular workloads in their chosen…

分布式、并行与集群计算 · 计算机科学 2020-07-09 Matthias Langer , Zhen He , Wenny Rahayu , Yanbo Xue

Deep learning models can take weeks to train on a single GPU-equipped machine, necessitating scaling out DL training to a GPU-cluster. However, current distributed DL implementations can scale poorly due to substantial parameter…

机器学习 · 计算机科学 2017-06-13 Hao Zhang , Zeyu Zheng , Shizhen Xu , Wei Dai , Qirong Ho , Xiaodan Liang , Zhiting Hu , Jinliang Wei , Pengtao Xie , Eric P. Xing

Distributed deep learning is becoming increasingly popular due to the expanding demand for computing resources for deep learning models with a larger amount of parameters. Different from traditional training approaches, data-parallel…

分布式、并行与集群计算 · 计算机科学 2022-06-14 Hao Bai

It is shown how various ideas that are well established for the solution of Poisson's equation using plane wave and multigrid methods can be combined with wavelet concepts. The combination of wavelet concepts and multigrid techniques turns…

计算物理 · 物理学 2007-05-23 S. Goedecker

Solving partial differential equations (PDEs) on shapes underpins many shape analysis and engineering tasks; yet, prevailing PDE solvers operate on polygonal/triangle meshes while modern 3D assets increasingly live as neural…

机器学习 · 计算机科学 2026-05-29 Lilian Welschinger , Yilin Liu , Zican Wang , Niloy Mitra

The multigrid algorithm is an efficient numerical method for solving a variety of elliptic partial differential equations (PDEs). The method damps errors at progressively finer grid scales, resulting in faster convergence compared to…

数值分析 · 数学 2021-05-06 Francisco Holguin , GS Sidharth , Gavin Portwood

Developing efficient numerical algorithms for the solution of high dimensional random Partial Differential Equations (PDEs) has been a challenging task due to the well-known curse of dimensionality. We present a new solution framework for…

机器学习 · 计算机科学 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

We present a parallel implementation of a direct solver for the Poisson's equation on extreme-scale supercomputers with accelerators. We introduce a chunked-pencil decomposition as the domain-decomposition strategy to distribute work among…

计算物理 · 物理学 2020-07-15 Jaber J. Hasbestan , Inanc Senocak