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The Primal-Dual Hybrid Gradient (PDHG) algorithm is a first-order method that can exploit GPUs to solve large-scale linear programming problems. The approach can often be faster than the alternatives, simplex and interior-point methods,…

最优化与控制 · 数学 2026-03-04 Edward Rothberg

There is a stage in the GPU computing pipeline where a grid of thread-blocks, in \textit{parallel space}, is mapped onto the problem domain, in \textit{data space}. Since the parallel space is restricted to a box type geometry, the mapping…

分布式、并行与集群计算 · 计算机科学 2016-09-07 Cristóbal A. Navarro , Benjamín Bustos , Nancy Hitschfeld

Subgraph matching is a core operation in graph analytics, supporting a broad spectrum of applications from social network analysis to bioinformatics. Recent GPU-based approaches accelerate subgraph matching by leveraging parallelism but…

数据库 · 计算机科学 2026-04-14 Weitian Chen , Shixuan Sun , Cheng Chen , Yongmin Hu , Yingqian Hu , Minyi Guo

Component-based development is a software engineering paradigm that can facilitate the construction of embedded systems and tackle its complexities. The modern embedded systems have more and more demanding requirements. One way to cope with…

软件工程 · 计算机科学 2019-01-23 Gabriel Campeanu , Mehrdad Saadatmand

In this article we present a new format for storing sparse matrices. The format is designed to perform well mainly on the GPU devices. We present its implementation in CUDA. The performance has been tested on 1,600 different types of…

分布式、并行与集群计算 · 计算机科学 2010-12-13 Tomáš Oberhuber , Atsushi Suzuki , Jan Vacata

An efficient error reconciliation scheme is important for post-processing of quantum key distribution (QKD). Recently, a multi-matrix low-density parity-check codes based reconciliation algorithm which can provide remarkable perspectives…

量子物理 · 物理学 2020-01-23 Yu Guo , Chaohui Gao , Dong Jiang , Lijun Chen

Transformer models struggle with long-context inference due to their quadratic time and linear memory complexity. Recurrent Memory Transformers (RMTs) offer a solution by reducing the asymptotic cost to linear time and constant memory…

机器学习 · 计算机科学 2025-06-06 Danil Sivtsov , Ivan Rodkin , Gleb Kuzmin , Yuri Kuratov , Ivan Oseledets

FETI is a numerical method used to solve engineering problems. It builds on the ideas of domain decomposition, which makes it highly scalable and capable of efficiently utilizing whole supercomputers. One of the most time-consuming parts of…

数学软件 · 计算机科学 2025-09-26 Jakub Homola , Radim Vavřík , Ondřej Meca , Tomáš Brzobohatý , Lubomír Říha

We present a distributed framework of the Primal-Dual Hybrid Gradient (PDHG) algorithm for solving massive-scale linear programming (LP) problems. Although PDHG-based solvers demonstrate strong performance on single-node GPU architectures,…

最优化与控制 · 数学 2026-05-11 Hongpei Li , Yicheng Huang , Huikang Liu , Dongdong Ge , Yinyu Ye

In the paper, a parallel Tabu Search algorithm for the Resource Constrained Project Scheduling Problem is proposed. To deal with this NP-hard combinatorial problem many optimizations have been performed. For example, a resource evaluation…

分布式、并行与集群计算 · 计算机科学 2017-11-15 Libor Bukata , Premysl Sucha , Zdenek Hanzalek

We introduce a new model for the task mapping problem to aid in the systematic design of algorithms for heterogeneous systems including, but not limited to, CPUs, GPUs and FPGAs. A special focus is set on the communication between the…

分布式、并行与集群计算 · 计算机科学 2026-04-15 Martin Wilhelm , Hanna Geppert , Anna Drewes , Thilo Pionteck

We describe a high-performance implementation of the lattice Boltzmann method (LBM) for sparse 3D geometries on graphic processors (GPU). The main contribution of this work is a data layout that allows to minimise the number of redundant…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Tadeusz Tomczak , Roman G. Szafran

In recommendation systems, practitioners observed that increase in the number of embedding tables and their sizes often leads to significant improvement in model performances. Given this and the business importance of these models to major…

机器学习 · 计算机科学 2020-10-26 Jie Amy Yang , Jianyu Huang , Jongsoo Park , Ping Tak Peter Tang , Andrew Tulloch

Solving large, sparse linear systems is a fundamental workload in scientific computing and engineering simulations, often dominating runtime and energy consumption in high-performance computing (HPC) applications. In this work, we explore…

计算工程、金融与科学 · 计算机科学 2026-04-30 Dan Gluck , Yotam Mimran , Andrey Karenskih , Talya Vaknin , Omri Wolf , Ruti Ben-Shlomi , Johannes Gebert

Matrix factorization (MF) has been widely used in e.g., recommender systems, topic modeling and word embedding. Stochastic gradient descent (SGD) is popular in solving MF problems because it can deal with large data sets and is easy to do…

机器学习 · 计算机科学 2016-11-11 Xiaolong Xie , Wei Tan , Liana L. Fong , Yun Liang

The 2D Least Median of Squares (LMS) is a popular tool in robust regression because of its high breakdown point: up to half of the input data can be contaminated with outliers without affecting the accuracy of the LMS estimator. The…

计算机视觉与模式识别 · 计算机科学 2015-10-06 Gil Shapira , Tal Hassner

We investigate the potential of Graphics Processing Units (GPUs) to solve large-scale nonlinear programs with a dynamic structure. Using ExaModels, a GPU-accelerated automatic differentiation tool, and the interior-point solver MadNLP, we…

最优化与控制 · 数学 2024-09-13 François Pacaud , Sungho Shin

Lattice quantum chromodynamics simulations in nuclear physics have benefited from a tremendous number of algorithmic advances such as multigrid and eigenvector deflation. These improve the time to solution but do not alleviate the intrinsic…

高能物理 - 格点 · 物理学 2018-08-09 M. A. Clark , Alexei Strelchenko , Alejandro Vaquero , Mathias Wagner , Evan Weinberg

Mini-batch algorithms have been proposed as a way to speed-up stochastic convex optimization problems. We study how such algorithms can be improved using accelerated gradient methods. We provide a novel analysis, which shows how standard…

机器学习 · 计算机科学 2011-06-24 Andrew Cotter , Ohad Shamir , Nathan Srebro , Karthik Sridharan

Subgraph matching has garnered increasing attention for its diverse real-world applications. Given the dynamic nature of real-world graphs, addressing evolving scenarios without incurring prohibitive overheads has been a focus of research.…

分布式、并行与集群计算 · 计算机科学 2024-01-31 Linshan Qiu , Lu Chen , Hailiang Jie , Xiangyu Ke , Yunjun Gao , Yang Liu , Zetao Zhang