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We consider Monte Carlo simulations of classical spin models of statistical mechanics using the massively parallel architecture provided by graphics processing units (GPUs). We discuss simulations of models with discrete and continuous…

Computational Physics · Physics 2012-07-20 Martin Weigel , Taras Yavors'kii

Low order, sequential or non-massively parallel finite elements are generaly used for three-dimensional gravity modelling. In this paper, in order to obtain better gravity anomaly solutions in heterogeneous media, we solve the gravimetry…

Numerical Analysis · Mathematics 2021-12-08 Abal-Kassim Cheik Ahamed , Frederic Magoules

In this work, we present an extension of Gaussian process (GP) models with sophisticated parallelization and GPU acceleration. The parallelization scheme arises naturally from the modular computational structure w.r.t. datapoints in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Zhenwen Dai , Andreas Damianou , James Hensman , Neil Lawrence

Planning long-horizon robot manipulation requires making discrete decisions about which objects to interact with and continuous decisions about how to interact with them. A robot planner must select grasps, placements, and motions that are…

We present a Pseudo-Transient Topology Optimization (PeTTO) approach that can leverage graphics processing units (GPUs) to efficiently solve single-material and multi-material topology optimization problems. By integrating PeTTO with phase…

Numerical Analysis · Mathematics 2025-09-10 Mingyuan Yang , Qian Yu , Chao Yang

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

In this paper, we address a long-standing challenge: how to achieve both efficiency and scalability in solving semidefinite programming problems. We propose breakthrough acceleration techniques for a wide range of low-rank…

Optimization and Control · Mathematics 2024-08-27 Qiushi Han , Zhenwei Lin , Hanwen Liu , Caihua Chen , Qi Deng , Dongdong Ge , Yinyu Ye

Dynamic graph random walk (DGRW) emerges as a practical tool for capturing structural relations within a graph. Effectively executing DGRW on GPU presents certain challenges. First, existing sampling methods demand a pre-processing buffer,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-29 Junyi Mei , Shixuan Sun , Chao Li , Cheng Xu , Cheng Chen , Yibo Liu , Jing Wang , Cheng Zhao , Xiaofeng Hou , Minyi Guo , Bingsheng He , Xiaoliang Cong

While hyper-parameters (HPs) are important for knowledge graph (KG) learning, existing methods fail to search them efficiently. To solve this problem, we first analyze the properties of different HPs and measure the transfer ability from…

Machine Learning · Computer Science 2022-05-06 Yongqi Zhang , Zhanke Zhou , Quanming Yao , Yong Li

Growing heterogeneity and configurability in HPC architectures has made auto-tuning applications and runtime parameters on these systems very complex. Users are presented with a multitude of options to configure parameters. In addition to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-28 Akash Dutta , Jordi Alcaraz , Ali TehraniJamsaz , Eduardo Cesar , Anna Sikora , Ali Jannesari

Persistent homology is perhaps the most popular and useful tool offered by topological data analysis, with point-cloud data being the most common setup. Its older cousin, the Euler characteristic curve (ECC) is less expressive, but far…

Computational Geometry · Computer Science 2023-03-07 Fan Wang , Hubert Wagner , Chao Chen

The Convex Hull algorithm is one of the most important algorithms in computational geometry, with many applications such as in computer graphics, robotics, and data mining. Despite the advances in the new algorithms in this area, it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Roberto Carrasco , Héctor Ferrada , Cristóbal A. Navarro , Nancy Hitschfeld

In this paper, we introduce a so-called Multistage graph Simple Path (MSP) problem and show that the Hamilton Circuit (HC) problem can be polynomially reducible to the MSP problem. To solve the MSP problem, we propose a polynomial algorithm…

Data Structures and Algorithms · Computer Science 2014-02-07 Xinwen Jiang

The resolution of dynamics in out of equilibrium quantum spin systems lies at the heart of fundamental questions among Quantum Information Processing, Statistical Mechanics and Nano-Technologies. Efficient computational simulations of…

Computational Physics · Physics 2013-12-09 Axel D. Dente , Carlos S. Bederián , Pablo R. Zangara , Horacio M. Pastawski

Heterogeneous graph neural networks (HGNNs) are essential for capturing the structure and semantic information in heterogeneous graphs. However, existing GPU-based solutions, such as PyTorch Geometric, suffer from low GPU utilization due to…

Hardware Architecture · Computer Science 2024-08-19 Meng Wu , Jingkai Qiu , Mingyu Yan , Wenming Li , Yang Zhang , Zhimin Zhang , Xiaochun Ye , Dongrui Fan

We present a novel GPU-accelerated implementation of the QuickHull algorihtm for calculating convex hulls of planar point sets. We also describe a practical solution to demonstrate how to efficiently implement a typical Divide-and-Conquer…

Computational Geometry · Computer Science 2018-05-21 Jiayin Zhang , Gang Mei , Nengxiong Xu , Kunyang Zhao

GPUs are uniquely suited to accelerate (SQL) analytics workloads thanks to their massive compute parallelism and High Bandwidth Memory (HBM) -- when datasets fit in the GPU HBM, performance is unparalleled. Unfortunately, GPU HBMs remain…

The convex hull is a fundamental geometrical structure for many applications where groups of points must be enclosed or represented by a convex polygon. Although efficient sequential convex hull algorithms exist, and are constantly being…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Alan Keith , Héctor Ferrada , Cristóbal A. Navarro

Numerical algebraic geometry provides a number of efficient tools for approximating the solutions of polynomial systems. One such tool is the parameter homotopy, which can be an extremely efficient method to solve numerous polynomial…

Algebraic Geometry · Mathematics 2018-04-13 Daniel J. Bates , Danielle Brake , Matthew Niemerg

We present a GPU-accelerated method for muon transport based on histogram sampling that delivers orders of magnitude faster performance than CPU-based Geant4 simulation. Our method employs precomputed histograms of momentum loss and…

Computational Physics · Physics 2025-12-12 Luis Felipe P. Cattelan , Shah Rukh Qasim , Patrick H. Owen , Nicola Serra