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We equip dynamic geometry software (DGS) with a user-friendly method that enables massively parallel calculations on the graphics processing unit (GPU). This interplay of DGS and GPU opens up various applications in education and…

数学软件 · 计算机科学 2018-08-15 Aaron Montag , Jürgen Richter-Gebert

A novel and scalable geometric multi-level algorithm is presented for the numerical solution of elliptic partial differential equations, specially designed to run with high occupancy of streaming processors inside Graphics Processing…

数学软件 · 计算机科学 2017-03-22 J. T. Becerra-Sagredo , F. Mandujano , C. Malaga

In this paper, we explore the limits of graphics processors (GPUs) for general purpose parallel computing by studying problems that require highly irregular data access patterns: parallel graph algorithms for list ranking and connected…

分布式、并行与集群计算 · 计算机科学 2010-02-25 Frank Dehne , Kumanan Yogaratnam

We present a set of rules to guide the design of GPU algorithms. These rules are grounded on the principle of reducing waste in GPU utility to achieve good speed up. In accordance to these rules, we propose GPU algorithms for 2D…

图形学 · 计算机科学 2020-07-02 Zhenghai Chen , Tiow-Seng Tan , Hong-Yang Ong

Scheduling real-time tasks that utilize GPUs with analyzable guarantees poses a significant challenge due to the intricate interaction between CPU and GPU resources, as well as the complex GPU hardware and software stack. While much…

分布式、并行与集群计算 · 计算机科学 2024-06-11 Yidi Wang , Cong Liu , Daniel Wong , Hyoseung Kim

We propose a GPU-based distributed optimization algorithm, aimed at controlling optimal power flow in multi-phase and unbalanced distribution systems. Typically, conventional distributed optimization algorithms employed in such scenarios…

最优化与控制 · 数学 2023-10-17 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

The Quadratic Assignment Problem (QAP) is an important combinatorial optimization problem with applications in many areas including logistics and manufacturing. QAP is known to be NP-hard, a computationally challenging problem, which…

分布式、并行与集群计算 · 计算机科学 2023-07-24 Clara Novoa , Apan Qasem

There exists many resource allocation problems in the field of wireless communications which can be formulated as the generalized assignment problems (GAP). GAP is a generic form of linear sum assignment problem (LSAP) and is more…

机器学习 · 计算机科学 2021-03-29 Arjun Kaushik , Mehrazin Alizadeh , Omer Waqar , Hina Tabassum

The widely-adopted practice is to train deep learning models with specialized hardware accelerators, e.g., GPUs or TPUs, due to their superior performance on linear algebra operations. However, this strategy does not employ effectively the…

分布式、并行与集群计算 · 计算机科学 2020-04-21 Yujing Ma , Florin Rusu

Most parallel neural network training methods assume homogeneous computing resources. For example, synchronous data-parallel SGD suffers from significant synchronization overhead under heterogeneous workloads, often forcing practitioners to…

机器学习 · 计算机科学 2026-02-24 Jihyun Lim , Junhyuk Jo , Chanhyeok Ko , Young Min Go , Jimin Hwa , Sunwoo Lee

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

计算物理 · 物理学 2017-01-05 Daniel Magee , Kyle E Niemeyer

Large-scale recommendation systems are pivotal to process an immense volume of daily user interactions, requiring the effective modeling of high cardinality and heterogeneous features to ensure accurate predictions. In prior work, we…

信息检索 · 计算机科学 2025-08-19 Yue Dong , Han Li , Shen Li , Nikhil Patel , Xing Liu , Xiaodong Wang , Chuanhao Zhuge

Nowadays, several industrial applications are being ported to parallel architectures. In fact, these platforms allow acquire more performance for system modelling and simulation. In the electric machines area, there are many problems which…

分布式、并行与集群计算 · 计算机科学 2010-10-25 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarch , Yvonnick Le Menach , Jean-Luc Dekeyser

In this work we propose an accelerated stochastic learning system for very large-scale applications. Acceleration is achieved by mapping the training algorithm onto massively parallel processors: we demonstrate a parallel, asynchronous GPU…

机器学习 · 计算机科学 2017-02-24 Thomas Parnell , Celestine Dünner , Kubilay Atasu , Manolis Sifalakis , Haris Pozidis

Recently, Deep Neural Networks (DNNs) have recorded great success in handling medical and other complex classification tasks. However, as the sizes of a DNN model and the available dataset increase, the training process becomes more complex…

分布式、并行与集群计算 · 计算机科学 2022-02-08 Samson B. Akintoye , Liangxiu Han , Xin Zhang , Haoming Chen , Daoqiang Zhang

The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equations form a important subclass for which specialized…

代数几何 · 数学 2015-03-03 Tianran Chen , Dhagash Mehta

Many emerging cyber-physical systems, such as autonomous vehicles and robots, rely heavily on artificial intelligence and machine learning algorithms to perform important system operations. Since these highly parallel applications are…

分布式、并行与集群计算 · 计算机科学 2023-02-07 An Zou , Jing Li , Christopher D. Gill , Xuan Zhang

While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

计算机科学中的逻辑 · 计算机科学 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

Distributed data-parallel algorithms aim to accelerate the training of deep neural networks by parallelizing the computation of large mini-batch gradient updates across multiple nodes. Approaches that synchronize nodes using exact…

机器学习 · 计算机科学 2020-04-23 Mahmoud Assran , Nicolas Loizou , Nicolas Ballas , Michael Rabbat

The graph coloring problem asks for an assignment of the minimum number of distinct colors to vertices in an undirected graph with the constraint that no pair of adjacent vertices share the same color. The problem is a thoroughly studied…

机器学习 · 计算机科学 2024-08-12 Kenneth Langedal , Fredrik Manne