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In this paper, a scalable iterative projection-type algorithm for solving non-stationary systems of linear inequalities is considered. A non-stationary system is understood as a large-scale system of inequalities in which coefficients and…

数学软件 · 计算机科学 2020-08-24 Leonid B. Sokolinsky , Irina M. Sokolinskaya

We present a fully parallel digital memcomputing solver implemented on a field-programmable gate array (FPGA) board. For this purpose, we have designed an FPGA code that solves the ordinary differential equations associated with digital…

新兴技术 · 计算机科学 2025-05-06 Dyk Chung Nguyen , Yuriy V. Pershin

LLM serving is increasingly multi-tenant: the same deployment must handle latency-critical interactive requests and more relaxed background workloads under a fixed GPU budget. This creates a tiered-SLO setting where maximizing overall…

分布式、并行与集群计算 · 计算机科学 2026-05-08 Vikranth Srivatsa , Zijian He , Pu Guo , Dongming Li , Yiying Zhang

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

计算物理 · 物理学 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

Gaussian processes (GPs) are a widely used regression tool, but the cubic complexity of exact solvers limits their scalability. To address this challenge, we extend the GPRat library by incorporating a fully GPU-resident GP prediction…

分布式、并行与集群计算 · 计算机科学 2026-02-24 Henrik Möllmann , Dirk Pflüger , Alexander Strack

The Graph Convolutional Network (GCN) model and its variants are powerful graph embedding tools for facilitating classification and clustering on graphs. However, a major challenge is to reduce the complexity of layered GCNs and make them…

机器学习 · 计算机科学 2020-08-06 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

This paper investigates the problem of certifying optimality for sparse generalized linear models (GLMs), where sparsity is enforced through an $\ell_0$ cardinality constraint. While branch-and-bound (BnB) frameworks can certify optimality…

机器学习 · 计算机科学 2025-06-12 Jiachang Liu , Soroosh Shafiee , Andrea Lodi

In this paper, we address the challenge of solving large-scale graph-structured nonlinear programs (gsNLPs) in a scalable manner. GsNLPs are problems in which the objective and constraint functions are associated with nodes on a graph and…

最优化与控制 · 数学 2026-05-19 Runxin Ni , Haoxuan Wang , Sen Na , Sungho Shin , Mihai Anitescu

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

In this paper we modify a fast heuristic solver for the Linear Sum Assignment Problem (LSAP) for use on Graphical Processing Units (GPUs). The motivating scenario is an industrial application for P2P live streaming that is moderated by a…

分布式、并行与集群计算 · 计算机科学 2011-07-01 Roberto Roverso , Amgad Naiem , Mohammed El-Beltagy , Sameh El-Ansary

Due to their simplicity and excellent performance, parallel asynchronous variants of stochastic gradient descent have become popular methods to solve a wide range of large-scale optimization problems on multi-core architectures. Yet,…

最优化与控制 · 数学 2017-11-07 Fabian Pedregosa , Rémi Leblond , Simon Lacoste-Julien

The ISO C++17 standard introduces \emph{parallel algorithms}, a parallel programming model promising portability across a wide variety of parallel hardware including multi-core CPUs, GPUs, and FPGAs. Since 2019, the NVIDIA HPC SDK compiler…

数学软件 · 计算机科学 2023-02-20 Uzmar Gomez , Gonzalo Brito Gadeschi , Tobias Weinzierl

Electromagnetic computations, where the wavelength is small in relation to the geometry of interest, become computationally demanding. In order to manage computations for realistic problems like electromagnetic scattering from aircraft, the…

计算工程、金融与科学 · 计算机科学 2018-01-12 Afshin Zafari , Elisabeth Larsson , Marco Righero , M. Alessandro Francavilla , Giorgio Giordanengo , Francesca Vipiana , Giuseppe Vecchi

[Abridged] We present the results of a highly parallel Kepler equation solver using the Graphics Processing Unit (GPU) on a commercial nVidia GeForce 280GTX and the "Compute Unified Device Architecture" programming environment. We apply…

天体物理学 · 物理学 2008-12-17 Eric B. Ford

Large-scale quantum computers have the potential to hold computational capabilities beyond conventional computers for certain problems. However, the physical qubits within a quantum computer are prone to noise and decoherence, which must be…

量子物理 · 物理学 2024-06-06 Luka Skoric , Dan E. Browne , Kenton M. Barnes , Neil I. Gillespie , Earl T. Campbell

Spatial Branch and Bound (B&B) algorithms are widely used for solving nonconvex problems to global optimality, yet they remain computationally expensive. Though some works have been carried out to speed up B&B via CPU parallelization, GPU…

Cloud infrastructures enable the efficient parallel execution of data-intensive tasks such as entity resolution on large datasets. We investigate challenges and possible solutions of using the MapReduce programming model for parallel entity…

分布式、并行与集群计算 · 计算机科学 2010-10-18 Lars Kolb , Andreas Thor , Erhard Rahm

Recently, a parallel decoding algorithm of $G_N$-coset codes was proposed.The algorithm exploits two equivalent decoding graphs.For each graph, the inner code part, which consists of independent component codes, is decoded in parallel. The…

信息论 · 计算机科学 2020-04-22 Jiajie Tong , Xianbin Wang , Qifan Zhang , Huazi Zhang , Shengchen Dai , Rong Li , Jun Wang

Nonlinear model predictive control has been widely adopted to manipulate bilinear systems with dynamics that include products of the inputs and the states. These systems are ubiquitous in chemical processes, mechanical systems, and quantum…

系统与控制 · 电气工程与系统科学 2023-07-06 Yingzhao Lian , Yuning Jiang , Daniel F. Opila , Colin N. Jones

We discuss the implementation and optimization challenges for a Wilson-Dirac solver with Clover term on QPACE, a parallel machine based on Cell processors and a torus network. We choose the mixed-precision Schwarz preconditioned FGCR…

高能物理 - 格点 · 物理学 2011-09-21 Andrea Nobile