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Probabilistic graphical models have emerged as a powerful modeling tool for several real-world scenarios where one needs to reason under uncertainty. A graphical model's partition function is a central quantity of interest, and its…

Artificial Intelligence · Computer Science 2021-05-25 Durgesh Agrawal , Yash Pote , Kuldeep S Meel

We describe a method for parallelizing the lexicographic enumeration algorithm for the factorization set of an element in a numerical semigroup via bounds. This enables the use of GPU and distributed computing methods. We provide a CUDA…

Commutative Algebra · Mathematics 2024-05-14 Thomas Barron

Numerical integration of stochastic differential equations is commonly used in many branches of science. In this paper we present how to accelerate this kind of numerical calculations with popular NVIDIA Graphics Processing Units using the…

Computational Physics · Physics 2011-05-31 M. Januszewski , M. Kostur

The FEAST algorithm, due to Polizzi, is a typical contour-integral based eigensolver for computing the eigenvalues, along with their eigenvectors, inside a given region in the complex plane. It was formulated under the circumstance that the…

Numerical Analysis · Mathematics 2016-12-13 Guojian Yin

We study parallel algorithms for the minimization of Deterministic Finite Automata (DFAs). In particular, we implement four different massively parallel algorithms on Graphics Processing Units (GPUs). Our results confirm the expectations…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-31 Jan Martens , Anton Wijs

NVIDIA's Multi-Instance GPU (MIG) is a feature that enables system designers to reconfigure one large GPU into multiple smaller GPU slices. This work characterizes this emerging GPU and evaluates its effectiveness in designing…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-02 Gwangoo Yeo , Jiin Kim , Yujeong Choi , Minsoo Rhu

Graph analytics are vital in fields such as social networks, biomedical research, and graph neural networks (GNNs). However, traditional CPUs and GPUs struggle with the memory bottlenecks caused by large graph datasets and their…

Hardware Architecture · Computer Science 2024-11-25 Oluwole Jaiyeoba , Abdullah T. Mughrabi , Morteza Baradaran , Beenish Gul , Kevin Skadron

The accelerated composite optimization method FISTA (Beck, Teboulle 2009) is suboptimal by a constant factor, and we present a new method OptISTA that improves FISTA by a constant factor of 2. The performance estimation problem (PEP) has…

Optimization and Control · Mathematics 2026-02-17 Uijeong Jang , Shuvomoy Das Gupta , Ernest K. Ryu

Gaussian Processes have become an indispensable part of the spatial statistician's toolbox but are unsuitable for analyzing large dataset because of the significant time and memory needed to fit the associated model exactly. Vecchia…

Computation · Statistics 2025-07-18 Zachary James , Joseph Guinness

The Zippel algorithm performs a rational reconstruction of multivariate polynomials and aims specifically at the sparse case. It is applied in different fields of science, lately becoming an important step in Feynman integral reduction in…

High Energy Physics - Phenomenology · Physics 2025-06-02 Alexander V. Smirnov , Boris I. Rozhnov , Vadim V. Voevodin

We introduce ASSIST, a software package for ephemeris-quality integrations of test particles. ASSIST is an extension of the REBOUND framework and makes use of its IAS15 integrator to integrate test particle trajectories in the field of the…

Earth and Planetary Astrophysics · Physics 2023-03-30 Matthew J. Holman , Arya Akmal , Davide Farnocchia , Hanno Rein , Matthew J. Payne , Robert Weryk , Daniel Tamayo , David M. Hernandez

A new molecular simulation toolkit composed of some lately developed force fields and specified models is presented to study the self-assembly, phase transition, and other properties of polymeric systems at mesoscopic scale by utilizing the…

Computational Physics · Physics 2013-10-10 You-Liang Zhu , Hong Liu , Zhan-Wei Li , Hu-Jun Qian , Giuseppe Milano , Zhong-Yuan Lu

The purpose of this technical report is to review the main properties of an accelerated composite gradient (ACG) method commonly referred to as the Fast Iterative Shrinkage-Thresholding Algorithm (FISTA). In addition, we state a version of…

Optimization and Control · Mathematics 2021-07-06 Weiwei Kong , Jefferson G. Melo , Renato D. C. Monteiro

The graphics processing unit (GPU) has emerged as a powerful and cost effective processor for general performance computing. GPUs are capable of an order of magnitude more floating-point operations per second as compared to modern central…

Computation · Statistics 2012-07-24 Mark Franey , Pritam Ranjan , Hugh Chipman

Earlier this decade, the so-called FEAST algorithm was released for computing the eigenvalues of a matrix in a given interval. Previously, rational filter functions have been examined as a parameter of FEAST. In this thesis, we expand on…

Numerical Analysis · Computer Science 2017-10-24 Konrad Kollnig

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…

Optimization and Control · Mathematics 2024-09-13 François Pacaud , Sungho Shin

In recent years graphical processing units (GPUs) have become a powerful tool in scientific computing. Their potential to speed up highly parallel applications brings the power of high performance computing to a wider range of users.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-26 Uldis Locans , Andreas Adelmann , Andreas Suter , Jannis Fischer , Werner Lustermann , Gunther Dissertori , Qiulin Wang

In this short review we present the developments over the last 5 decades that have led to the use of Graphics Processing Units (GPUs) for astrophysical simulations. Since the introduction of NVIDIA's Compute Unified Device Architecture…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Jeroen Bédorf , Simon Portegies Zwart

As part of the Exascale Computing Project (ECP), a recent focus of development efforts for the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been to enable GPU-accelerated time integration in scientific…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-04 Cody J. Balos , David J. Gardner , Carol S. Woodward , Daniel R. Reynolds

Celeritas is a GPU-optimized MC particle transport code designed to meet the growing computational demands of next-generation HEP experiments. It provides efficient simulation of EM physics processes in complex geometries with magnetic…

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