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Parametric linear programming is a central operation for polyhedral computations, as well as in certain control applications.Here we propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.This type…

Computational Geometry · Computer Science 2020-10-01 Camille Coti , David Monniaux , Hang Yu

Mosaic Flow is a novel domain decomposition method designed to scale physics-informed neural PDE solvers to large domains. Its unique approach leverages pre-trained networks on small domains to solve partial differential equations on large…

Machine Learning · Computer Science 2023-08-29 Arthur Feeney , Zitong Li , Ramin Bostanabad , Aparna Chandramowlishwaran

For the parallel-in-time integration method Parareal, pipelining can be used to hide some of the cost of the serial correction step and improve its efficiency. The paper introduces a basic OpenMP implementation of pipelined Parareal and…

Mathematical Software · Computer Science 2019-11-12 Daniel Ruprecht

Convolutional neural networks (CNNs) have demonstrated their superiority in numerous computer vision tasks, yet their computational cost results prohibitive for many real-time applications such as pedestrian detection which is usually…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Farzin Ghorban , Javier Marín , Yu Su , Alessandro Colombo , Anton Kummert

We introduce a class of causal video understanding models that aims to improve efficiency of video processing by maximising throughput, minimising latency, and reducing the number of clock cycles. Leveraging operation pipelining and…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Joao Carreira , Viorica Patraucean , Laurent Mazare , Andrew Zisserman , Simon Osindero

The use of FPGAs for efficient graph processing has attracted significant interest. Recent memory subsystem upgrades including the introduction of HBM in FPGAs promise to further alleviate memory bottlenecks. However, modern multi-channel…

Hardware Architecture · Computer Science 2022-03-08 Xinyu Chen , Yao Chen , Feng Cheng , Hongshi Tan , Bingsheng He , Weng-Fai Wong

Delaunay Triangulation(DT) is one of the important geometric problems that is used in various branches of knowledge such as computer vision, terrain modeling, spatial clustering and networking. Kinetic data structures have become very…

Computational Geometry · Computer Science 2023-08-15 Nazanin Hadiniya , Mohammad Ghodsi

As the model size continuously increases, pipeline parallelism shows great promise in throughput-oriented LLM inference due to its low demand on communications. However, imbalanced pipeline workloads and complex data dependencies in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-13 Hongbin Zhang , Taosheng Wei , Zhenyi Zheng , Jiangsu Du , Zhiguang Chen , Yutong Lu

Constraint problems can be trivially solved in parallel by exploring different branches of the search tree concurrently. Previous approaches have focused on implementing this functionality in the solver, more or less transparently to the…

Artificial Intelligence · Computer Science 2010-08-26 Lars Kotthoff , Neil C. A. Moore

In the context of big data analysis, the divide-and-conquer methodology refers to a multiple-step process: first splitting a data set into several smaller ones; then analyzing each set separately; finally combining results from each…

Machine Learning · Statistics 2021-02-23 Xueying Chen , Jerry Q. Cheng , Min-ge Xie

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

DNN training is time-consuming and requires efficient multi-accelerator parallelization, where a single training iteration is split over available accelerators. Current approaches often parallelize training using intra-batch…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-24 Ankita Dutta , Nabendu Chaki , Rajat K. De

The idea of dynamic programming (DP), proposed by Bellman in the 1950s, is one of the most important algorithmic techniques. However, in parallel, many fundamental and sequentially simple problems become more challenging, and open to a…

Data Structures and Algorithms · Computer Science 2024-05-24 Xiangyun Ding , Yan Gu , Yihan Sun

The rise of big data systems has created a need for benchmarks to measure and compare the capabilities of these systems. Big data benchmarks present unique scalability challenges. The supercomputing community has wrestled with these…

Performance · Computer Science 2016-12-13 Patrick Dreher , Chansup Byun , Chris Hill , Vijay Gadepally , Bradley Kuszmaul , Jeremy Kepner

We develop an efficient parallel algorithm for answering shortest-path queries in planar graphs and implement it on a multi-node CPU/GPU clusters. The algorithm uses a divide-and-conquer approach for decomposing the input graph into small…

Data Structures and Algorithms · Computer Science 2015-03-26 Guillaume Chapuis , Hristo Djidjev

Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

Matrix computations, especially iterative PDE solving (and the sparse matrix vector multiplication subproblem within) using conjugate gradient algorithm, and LU/Cholesky decomposition for solving system of linear equations, form the kernel…

Numerical Analysis · Computer Science 2011-07-07 Shreeniwas Sapre , Hrishikesh Sharma , Abhishek Patil , B. S. Adiga , Sachin Patkar

The remarkable growth and significant success of machine learning have expanded its applications into programming languages and program analysis. However, a key challenge in adopting the latest machine learning methods is the representation…

Programming Languages · Computer Science 2023-12-01 Ali TehraniJamsaz , Quazi Ishtiaque Mahmud , Le Chen , Nesreen K. Ahmed , Ali Jannesari

The rapidly growing number of large network analysis problems has led to the emergence of many parallel and distributed graph processing systems---one survey in 2014 identified over 80. Since then, the landscape has evolved; some packages…

Performance · Computer Science 2017-05-18 Samuel Pollard , Boyana Norris

The standard implementation of the conjugate gradient algorithm suffers from communication bottlenecks on parallel architectures, due primarily to the two global reductions required every iteration. In this paper, we study conjugate…

Numerical Analysis · Computer Science 2021-04-20 Tyler Chen , Erin C. Carson