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GPUs have significantly accelerated first-order methods for large-scale optimization, especially in continuous optimization. However, this success has not transferred cleanly to problems with discrete variables, combinatorial structure, and…

Machine Learning · Computer Science 2026-05-22 Jiachang Liu , Andrea Lodi

An existing hybrid MPI-OpenMP scheme is augmented with a CUDA-based fine grain parallelization approach for multidimensional distributed Fourier transforms, in a well-characterized pseudospectral fluid turbulence code. Basics of the hybrid…

Computational Physics · Physics 2018-08-07 Duane Rosenberg , Pablo D. Mininni , Raghu Reddy , Annick Pouquet

Scientific applications produce vast amounts of data, posing grand challenges in the underlying data management and analytic tasks. Progressive compression is a promising way to address this problem, as it allows for on-demand data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-02 Yanliang Li , Wenbo Li , Qian Gong , Qing Liu , Norbert Podhorszki , Scott Klasky , Xin Liang , Jieyang Chen

Simulating complex physical systems is crucial for understanding and predicting phenomena across diverse fields, such as fluid dynamics and heat transfer, as well as plasma physics and structural mechanics. Traditional approaches rely on…

Quadratic programming (QP) is a fundamental optimization model with wide-ranging applications in decision-making and machine learning, yet efficiently solving large-scale instances remains a major computational challenge. Building upon the…

Optimization and Control · Mathematics 2026-03-02 Hongpei Li , Yicheng Huang , Huikang Liu , Dongdong Ge , Yinyu Ye

Solving discretized versions of the Dirac equation represents a large share of execution time in lattice Quantum Chromodynamics (QCD) simulations. Many high-performance computing (HPC) clusters use graphics processing units (GPUs) to offer…

High Energy Physics - Lattice · Physics 2024-07-02 Tilmann Matthaei

We propose in this paper the Wavelet-based Edge Multiscale Parareal (WEMP) Algorithm to efficiently solve parabolic equations with heterogeneous coefficients. This algorithm combines the advantages of multiscale methods that can deal with…

Numerical Analysis · Mathematics 2021-08-18 Guanglian Li , Jiuhua Hu

Edge computing has evolved to be a promising avenue to enhance the system computing capability by offloading processing tasks from the cloud to edge devices. In this paper, we propose a multi-layer edge computing framework called EdgeFlow.…

Networking and Internet Architecture · Computer Science 2018-04-04 Chao Yao , Xiaoyang Wang , Zijie Zheng , Guangyu Sun , Lingyang Song

Computation of optimal cycle mean in a directed weighted graph has many applications in program analysis, performance verification in particular. In this paper we propose a data-parallel algorithmic solution to the problem and show how the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-04 Jiří Barnat , Petr Bauch , Luboš Brim , Milan Češka

We present a framework to interactively volume-render three-dimensional data cubes using distributed ray-casting and volume bricking over a cluster of workstations powered by one or more graphics processing units (GPUs) and a multi-core…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 A. H. Hassan , C. J. Fluke , D. G. Barnes

Accurate and robust pose estimation is a key requirement for any autonomous robot. We present cuVSLAM, a state-of-the-art solution for visual simultaneous localization and mapping, which can operate with a variety of visual-inertial sensor…

Image Processing is a specialized area of Digital Signal Processing which contains various mathematical and algebraic operations such as matrix inversion, transpose of matrix, derivative, convolution, Fourier Transform etc. Operations like…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-24 Batuhan Hangün , Önder Eyecioğlu

Graphics Processing Units (GPUs) are having a transformational effect on numerical lattice quantum chromodynamics (LQCD) calculations of importance in nuclear and particle physics. The QUDA library provides a package of mixed precision…

High Energy Physics - Lattice · Physics 2010-12-06 Ronald Babich , Michael A. Clark , Bálint Joó

Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust: They allow arbitrary unstructured geometries and easy control of…

Mathematical Software · Computer Science 2012-11-06 Andreas Klöckner , Timothy Warburton , Jan S. Hesthaven

Graphic Processing Units (GPUs) are getting increasingly important as target architectures in scientific High Performance Computing (HPC). NVIDIA established CUDA as a parallel computing architecture controlling and making use of the…

High Energy Physics - Lattice · Physics 2011-05-12 Frank Winter

Training transformer models requires substantial GPU compute and memory resources. In homogeneous clusters, distributed strategies allocate resources evenly, but this approach is inefficient for heterogeneous clusters, where GPUs differ in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-15 Runsheng Benson Guo , Utkarsh Anand , Arthur Chen , Khuzaima Daudjee

This report presents a comprehensive analysis of the performance of GPU accelerated meshfree CFD solvers for two-dimensional compressible flows in Fortran, C++, Python, and Julia. The programming model CUDA is used to develop the GPU codes.…

Programming Languages · Computer Science 2023-05-03 Nischay Ram Mamidi , Kumar Prasun , Dhruv Saxena , Anil Nemili , Bharatkumar Sharma , S. M. Deshpande

Practical applicability of quantum optimisation on near term devices is constrained by limited qubit counts and hardware noise, which restricts the scalability of quantum optimisation algorithms for combinatorial problems. The simulation of…

Quantum Physics · Physics 2026-05-01 Namasi G Sankar , Georgios Miliotis , Simon Caton

Real-time data processing is one of the central processes of particle physics experiments which require large computing resources. The LHCb (Large Hadron Collider beauty) experiment will be upgraded to cope with a particle bunch collision…

Designing large-scale geological carbon capture and storage projects and ensuring safe long-term CO2 containment - as a climate change mitigation strategy - requires fast and accurate numerical simulations. These simulations involve solving…

Mathematical Software · Computer Science 2023-04-25 Ryuichi Sai , Mathias Jacquelin , François P. Hamon , Mauricio Araya-Polo , Randolph R. Settgast