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Multigrid modeling algorithms are a technique used to accelerate relaxation models running on a hierarchy of similar graphlike structures. We introduce and demonstrate a new method for training neural networks which uses multilevel methods.…

Machine Learning · Computer Science 2019-05-22 C. B. Scott , Eric Mjolsness

Parallel-in-time methods, such as multigrid reduction-in-time (MGRIT) and Parareal, provide an attractive option for increasing concurrency when simulating time-dependent PDEs in modern high-performance computing environments. While these…

Numerical Analysis · Mathematics 2021-03-04 Hans De Sterck , Robert D. Falgout , Stephanie Friedhoff , Oliver A. Krzysik , Scott P. MacLachlan

Parallel-in-time methods for partial differential equations (PDEs) have been the subject of intense development over recent decades, particularly for diffusion-dominated problems. It has been widely reported in the literature, however, that…

Numerical Analysis · Mathematics 2023-03-22 H. De Sterck , R. D. Falgout , O. A. Krzysik , J. B. Schroder

The scalable solution of large sparse linear systems is a bottleneck in scientific computing and graph analysis. While algebraic multigrid (AMG) offers optimal linear scaling, its performance is severely constrained by the trade-off between…

Machine Learning · Computer Science 2026-05-27 Yali Fink , Ido Ben-Yair , Lars Ruthotto , Eran Treister

The deep neural networks (DNNs) have been enormously successful in tasks that were hitherto in the human-only realm such as image recognition, and language translation. Owing to their success the DNNs are being explored for use in ever more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-20 Sanket Tavarageri , Srinivas Sridharan , Bharat Kaul

Sequential models, such as Recurrent Neural Networks and Neural Ordinary Differential Equations, have long suffered from slow training due to their inherent sequential nature. For many years this bottleneck has persisted, as many thought…

Machine Learning · Computer Science 2024-01-17 Yi Heng Lim , Qi Zhu , Joshua Selfridge , Muhammad Firmansyah Kasim

Deep learning models trained on large data sets have been widely successful in both vision and language domains. As state-of-the-art deep learning architectures have continued to grow in parameter count so have the compute budgets and times…

Graph Neural Networks (GNNs) are powerful deep learning models to generate node embeddings on graphs. When applying deep GNNs on large graphs, it is still challenging to perform training in an efficient and scalable way. We propose a novel…

Machine Learning · Computer Science 2020-10-08 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

Recurrent neural networks (RNNs) have shown outstanding performance on processing sequence data. However, they suffer from long training time, which demands parallel implementations of the training procedure. Parallelization of the training…

Neural and Evolutionary Computing · Computer Science 2015-11-25 Kyuyeon Hwang , Wonyong Sung

To train modern large DNN models, pipeline parallelism has recently emerged, which distributes the model across GPUs and enables different devices to process different microbatches in pipeline. Earlier pipeline designs allow multiple…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-23 Ziyue Luo , Xiaodong Yi , Guoping Long , Shiqing Fan , Chuan Wu , Jun Yang , Wei Lin

This paper presents a multilevel convergence framework for multigrid-reduction-in-time (MGRIT) as a generalization of previous two-grid estimates. The framework provides a priori upper bounds on the convergence of MGRIT V- and F-cycles,…

Deep learning has led to tremendous advancements in the field of Artificial Intelligence. One caveat however is the substantial amount of compute needed to train these deep learning models. Training a benchmark dataset like ImageNet on a…

Machine Learning · Computer Science 2018-10-30 Karanbir Chahal , Manraj Singh Grover , Kuntal Dey

In this paper we analyze, evaluate, and improve the performance of training generalized linear models on modern CPUs. We start with a state-of-the-art asynchronous parallel training algorithm, identify system-level performance bottlenecks,…

Machine Learning · Computer Science 2018-12-20 Nikolas Ioannou , Celestine Dünner , Kornilios Kourtis , Thomas Parnell

In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-solution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The time-periodic…

Computational Engineering, Finance, and Science · Computer Science 2022-01-12 Andreas Hessenthaler , Robert D. Falgout , Jacob B. Schroder , Adelaide de Vecchi , David Nordsletten , Oliver Röhrle

This paper presents a comparative analysis of distributed training strategies for large-scale neural networks, focusing on data parallelism, model parallelism, and hybrid approaches. We evaluate these strategies on image classification…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-01 Vishnu Vardhan Baligodugula , Fathi Amsaad

Neural networks have become a cornerstone of machine learning. As the trend for these to get more and more complex continues, so does the underlying hardware and software infrastructure for training and deployment. In this survey we answer…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-07 Felix Brakel , Uraz Odyurt , Ana-Lucia Varbanescu

The training process of Deep Neural Network (DNN) is compute-intensive, often taking days to weeks to train a DNN model. Therefore, parallel execution of DNN training on GPUs is a widely adopted approach to speed up the process nowadays.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-29 Chi-Chung Chen , Chia-Lin Yang , Hsiang-Yun Cheng

Recurrent neural networks (RNN) have been successfully applied to various sequential decision-making tasks, natural language processing applications, and time-series predictions. Such networks are usually trained through back-propagation…

Machine Learning · Computer Science 2019-12-02 Julia El Zini , Yara Rizk , Mariette Awad

Gradient-based algorithms for training ResNets typically require a forward pass of the input data, followed by back-propagating the objective gradient to update parameters, which are time-consuming for deep ResNets. To break the…

Machine Learning · Computer Science 2021-02-19 Qi Sun , Hexin Dong , Zewei Chen , Weizhen Dian , Jiacheng Sun , Yitong Sun , Zhenguo Li , Bin Dong

Generative adversarial networks (GANs) are widely used to learn generative models. GANs consist of two networks, a generator and a discriminator, that apply adversarial learning to optimize their parameters. This article presents a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Emiliano Perez , Sergio Nesmachnow , Jamal Toutouh , Erik Hemberg , Una-May O'Reilly