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The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with embedded, unfitted, or extended finite element methods. The method is based…

Numerical Analysis · Computer Science 2019-08-20 Francesc Verdugo , Alberto F. Martín , Santiago Badia

This paper presents the design, implementation, and evaluation of the PyTorch distributed data parallel module. PyTorch is a widely-adopted scientific computing package used in deep learning research and applications. Recent advances in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Shen Li , Yanli Zhao , Rohan Varma , Omkar Salpekar , Pieter Noordhuis , Teng Li , Adam Paszke , Jeff Smith , Brian Vaughan , Pritam Damania , Soumith Chintala

Larger model sizes and longer sequence lengths have empowered the Large Language Model (LLM) to achieve outstanding performance across various domains. However, this progress brings significant storage capacity challenges for LLM…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Xinyuan Lin , Chenlu Li , Zongle Huang , Chunyu Wang , Bo Xiao , Huazhong Yang , Shishi Duan , Yongpan Liu

Scalable and efficient numerical simulations continue to gain importance, as computation is firmly established as the third pillar of discovery, alongside theory and experiment. Meanwhile, the performance of computing hardware grows through…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-26 Pietro Incardona , Antonio Leo , Yaroslav Zaluzhnyi , Rajesh Ramaswamy , Ivo F. Sbalzarini

The Data Science domain has expanded monumentally in both research and industry communities during the past decade, predominantly owing to the Big Data revolution. Artificial Intelligence (AI) and Machine Learning (ML) are bringing more…

Surface wave tomography is essential for investigating the shear-wave velocity structure of the crust and upper mantle. The direct surface wave tomography method, DSurfTomo, has become one of the most widely adopted packages due to its…

Geophysics · Physics 2026-04-15 Shaohang Zhu , Junlun Li , Guoyi Chen , Hongjian Fang , Huajian Yao

We present PDLP, a practical first-order method for linear programming (LP) designed to solve large-scale LP problems. PDLP is based on the primal-dual hybrid gradient (PDHG) method applied to the minimax formulation of LP. PDLP…

Optimization and Control · Mathematics 2026-03-19 David Applegate , Mateo Díaz , Oliver Hinder , Haihao Lu , Miles Lubin , Brendan O'Donoghue , Warren Schudy

Parallel computing is very important to accelerate the performance of software systems. Additionally, considering that a recurring challenge is to process high data volumes continuously, stream processing emerged as a paradigm and software…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Adriano Vogel , Sören Henning , Esteban Perez-Wohlfeil , Otmar Ertl , Rick Rabiser

We present an adaptive methodology for the solution of (linear and) non-linear time dependent problems that is especially tailored for massively parallel computations. The basic concept is to solve for large blocks of space-time unknowns…

Computational Physics · Physics 2016-08-30 Robert Dyja , Baskar Ganapathysubramanian , Kristoffer G. van der Zee

Graphics processing units (GPU) had evolved from a specialized hardware capable to render high quality graphics in games to a commodity hardware for effective processing blocks of data in a parallel schema. This evolution is particularly…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-26 Luis Cabellos

Deploying a large language model (LLM) inference service remains costly because centralized serving depends on specialized GPU clusters and high-bandwidth interconnects in datacenters. An appealing alternative is to leverage collaborative…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-01 Chris Tong , Youhe Jiang , Gufeng Chen , Tianyi Zhao , Sibian Lu , Wenjie Qu , Eric Yang , Lynn Ai , Binhang Yuan

Currently, training large-scale deep learning models is typically achieved through parallel training across multiple GPUs. However, due to the inherent communication overhead and synchronization delays in traditional model parallelism…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Xiuyuan Guo , Chengqi Xu , Guinan Guo , Feiyu Zhu , Changpeng Cai , Peizhe Wang , Xiaoming Wei , Junhao Su , Jialin Gao

Mixed integer nonlinear programming (MINLP) problems are encountered in modeling a physical/industrial process consisting both nonlinearity and discrete selective parameters. There are variety of algorithms for solving MINLP problems most…

Optimization and Control · Mathematics 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

Characterizing and predicting the training performance of modern machine learning (ML) workloads on compute systems with compute and communication spread between CPUs, GPUs, and network devices is not only the key to optimization and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-27 Zhongyi Lin , Ning Sun , Pallab Bhattacharya , Xizhou Feng , Louis Feng , John D. Owens

In large-scale LLM pre-training systems with 100k+ GPUs, failures become the norm rather than the exception, and restart costs can dominate wall-clock training time. However, existing fault-tolerance mechanisms are largely unprepared for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Jin Lee , Zhonghao Chen , Xuhang He , Robert Underwood , Bogdan Nicolae , Franck Cappello , Xiaoyi Lu , Sheng Di , Zheng Zhang

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

Many of the most performant deep learning models today in fields like language and image understanding are fine-tuned models that contain billions of parameters. In anticipation of workloads that involve serving many of such large models to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Daniel Zou , Xinchen Jin , Xueyang Yu , Hao Zhang , James Demmel

Mixed-integer programming (MIP) extends linear programming by incorporating both continuous and integer decision variables, making it widely used in production planning, logistics scheduling, and resource allocation. However, MIP remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Jinyu Zhang , Di Huang , Yue Liu , Shuo Wang , Zhenyu Pu , Zhiyuan Liu

One of the main advantages of Logic Programming (LP) is that it provides an excellent framework for the parallel execution of programs. In this work we investigate novel techniques to efficiently exploit parallelism from real-world…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-27 Vítor Santos Costa , Inês Dutra , Ricardo Rocha

These lecture notes are designed to accompany an imaginary, virtual, undergraduate, one or two semester course on fundamentals of Parallel Computing as well as to serve as background and reference for graduate courses on High-Performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-02 Jesper Larsson Träff