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We report numerical results on solving constrained linear-quadratic model predictive control (MPC) problems by exploiting graphics processing units (GPUs). The presented method reduces the MPC problem by eliminating the state variables and…

Optimization and Control · Mathematics 2026-05-11 David Cole , Sungho Shin , François Pacaud , Victor M. Zavala , Mihai Anitescu

In this paper, we discuss an extension of the Split Hamiltonian Monte Carlo (Split HMC) method for Gaussian process model (GPM). This method is based on splitting the Hamiltonian in a way that allows much of the movement around the state…

Computation · Statistics 2012-07-17 Shiwei Lan , Babak Shahbaba

The ensemble data assimilation of computational fluid dynamics simulations based on the lattice Boltzmann method (LBM) and the local ensemble transform Kalman filter (LETKF) is implemented and optimized on a GPU supercomputer based on…

We describe a computational framework for hierarchical Bayesian inference with simple (typically single-plate) parametric graphical models that uses graphics processing units (GPUs) to accelerate computations, enabling deployment on very…

Instrumentation and Methods for Astrophysics · Physics 2021-05-18 János M. Szalai-Gindl , Thomas J. Loredo , Brandon C. Kelly , István Csabai , Tamás Budavári , László Dobos

The past decade has witnessed a dramatic acceleration of lattice quantum chromodynamics calculations in nuclear and particle physics. This has been due to both significant progress in accelerating the iterative linear solvers using…

High Energy Physics - Lattice · Physics 2016-12-26 M. A. Clark , Bálint Joó , Alexei Strelchenko , Michael Cheng , Arjun Gambhir , Richard Brower

Attention accounts for an increasingly dominant fraction of total computation during inference for mixture-of-experts (MoE) models, making efficient acceleration critical. Emerging domain-specific accelerators for large model inference are…

Hardware Architecture · Computer Science 2026-04-03 Chi Zhang , Luca Colagrande , Renzo Andri , Luca Benini

In this paper we present a methodology for data accesses when solving batches of Tridiagonal and Pentadiagonal matrices that all share the same left-hand-side (LHS) matrix. The intended application is to the numerical solution of Partial…

Computational Physics · Physics 2021-07-13 Enda Carroll , Andrew Gloster , Miguel D. Bustamante , Lennon Ó' Náraigh

Graphics Processing Units (GPUs) are now powerful and flexible systems adapted and used for other purposes than graphics calculations (General Purpose computation on GPU -- GPGPU). We present here a prototype to be integrated into…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-06-13 Sylvain Collange , Marc Daumas , David Defour

We present preliminary performance results of gPLUTO, the new GPU-optimized implementation of the PLUTO code for computational plasma astrophysics. Like its predecessor, gPLUTO employs a finite-volume formulation to numerically solve the…

This paper introduces a second-order method for solving general elliptic partial differential equations (PDEs) on irregular domains using GPU acceleration, based on Ying's kernel-free boundary integral (KFBI) method. The method addresses…

Numerical Analysis · Mathematics 2024-04-24 Liwei Tan , Minsheng Huang , Wenjun Ying

The surging demand for GPUs in datacenters for machine learning (ML) has made efficient GPU utilization crucial. However, meeting the diverse needs of ML models while optimizing resource usage is challenging. To enable transparent,…

A finite-difference Micromagnetic simulation code written in MATLAB is presented with Graphics Processing Unit (GPU) acceleration. The high performance of Graphics Processing Unit (GPU) is demonstrated compared to a typical Central…

Computational Engineering, Finance, and Science · Computer Science 2015-01-30 Ru Zhu

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…

Computer Vision and Pattern Recognition · Computer Science 2015-10-06 Gil Shapira , Tal Hassner

Large Language Models (LLMs) are increasingly deployed on converged Cloud and High-Performance Computing (HPC) infrastructure. However, as LLMs handle confidential inputs and are fine-tuned on costly, proprietary datasets, their heightened…

Performance · Computer Science 2025-09-24 Marcin Chrapek , Marcin Copik , Etienne Mettaz , Torsten Hoefler

The computational power of High-Performance Computing (HPC) systems is constantly increasing, however, their input/output (IO) performance grows relatively slowly, and their storage capacity is also limited. This unbalance presents…

We developed a semiclassical approximation method in combination with an adaptive moment estimation optimizer (SCA + ADAM) approach based on the PyTorch plus CUDA library on a the graphics processing unit (GPU). This method was employed to…

Strongly Correlated Electrons · Physics 2023-11-09 Hayun Park , Hunpyo Lee

Training LLMs in distributed environments presents significant challenges due to the complexity of model execution, deployment systems, and the vast space of configurable strategies. Although various optimization techniques exist, achieving…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Mingyu Liang , Hiwot Tadese Kassa , Wenyin Fu , Brian Coutinho , Louis Feng , Christina Delimitrou

Large language models (LLMs) are increasingly deployed on customer devices. To support them, current devices are adopting SoCs (System on Chip) with NPUs (Neural Processing Unit) installed. Although high performance is expected, LLM…

Hardware Architecture · Computer Science 2025-11-17 Jianyu Wei , Qingtao Li , Shijie Cao , Lingxiao Ma , Zixu Hao , Yanyong Zhang , Xiaoyan Hu , Ting Cao

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

Performance · Computer Science 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

GPUs have become indispensable in high-performance computing, machine learning, and many other domains. Efficiently utilizing the memory subsystem on GPUs is critical for maximizing computing power through massive parallelism. Analyzing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-28 Yanbo Zhao , Jinku Cui , Zecheng Li , Shuyin Jiao , Xu Liu , Jiajia Li