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We examine the problem of optimizing classification tree evaluation for on-line and real-time applications by using GPUs. Looking at trees with continuous attributes often used in image segmentation, we first put the existing algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-08 Jason Spencer

We have developed a gravity solver based on combining the well developed Particle-Mesh (PM) method and TREE methods. It is designed for and has been implemented on parallel computer architectures. The new code can deal with tens of millions…

Astrophysics · Physics 2009-10-22 Guohong Xu

We present an algorithm that allows for building left-balanced and complete k-d trees over k-dimensional points in a trivially parallel and GPU friendly way. Our algorithm requires exactly one int per data point as temporary storage, and…

Data Structures and Algorithms · Computer Science 2023-04-06 Ingo Wald

Algorithms based on spatial tree traversal are widely regarded as among the most efficient and flexible approaches for many problems in CPU-based high-performance computing (HPC). However, directly transferring these algorithms to GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-08 Jens Stücker , Oliver Hahn , Lukas Winkler , Adrian Gutierrez Adame , Thomas Flöss

We describe a new implementation of a parallel N-body tree code. The code is load-balanced using the method of orthogonal recursive bisection to subdivide the N-body system into independent rectangular volumes each of which is mapped to a…

Astrophysics · Physics 2009-10-28 John Dubinski

We present and discuss the characteristics and performances, both in term of computational speed and precision, of a numerical code which numerically integrates the equation of motions of N 'particles' interacting via Newtonian gravitation…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 R. Capuzzo-Dolcetta , A. Mastrobuono-Battisti , D. Maschietti

We present a GPU accelerated CUDA-C implementation of the Barnes Hut (BH) tree code for calculating the gravitational potential on octree adaptive meshes. The tree code algorithm is implemented within the FLASH4 adaptive mesh refinement…

Instrumentation and Methods for Astrophysics · Physics 2015-11-30 Gunther Lukat , Robi Banerjee

In this paper, we describe the implementation and performance of GreeM, a massively parallel TreePM code for large-scale cosmological N-body simulations. GreeM uses a recursive multi-section algorithm for domain decomposition. The size of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Tomoaki Ishiyama , Toshiyuki Fukushige , Junichiro Makino

We describe a parallel, cosmological N-body code based on a hybrid scheme using the particle-mesh (PM) and Barnes-Hut (BH) oct-tree algorithm. We call the algorithm GOTPM for Grid-of-Oct-Trees-Particle-Mesh. The code is parallelized using…

Astrophysics · Physics 2015-06-24 John Dubinski , Juhan Kim , Changbom Park , Robin Humble

The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial differential equations such as finite element, finite…

Numerical Analysis · Mathematics 2021-08-31 Abal-Kassim Cheik Ahamed , Frédéric Magoulès

Grid space partitioning is a technique to speed up queries to graphics databases. We present a parallel grid construction algorithm which can efficiently construct a structured grid on GPU hardware. Our approach is substantially faster than…

Graphics · Computer Science 2024-03-19 Vasco Costa , João M. Pereira , Joaquim Jorge

Due to the variety and importance of applications of treecodes and FMM, the combination of algorithmic acceleration with hardware acceleration can have tremendous impact. Alas, programming these algorithms efficiently is no piece of cake.…

Computational Physics · Physics 2012-08-14 Rio Yokota , Lorena Barba

Incoherent dedispersion is a computationally intensive problem that appears frequently in pulsar and transient astronomy. For current and future transient pipelines, dedispersion can dominate the total execution time, meaning its…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Benjamin R. Barsdell , Matthew Bailes , David G. Barnes , Christopher J. Fluke

In this paper, we present a novel massively parallel algorithm for accelerating the decision tree building procedure on GPUs (Graphics Processing Units), which is a crucial step in Gradient Boosted Decision Tree (GBDT) and random forests…

Machine Learning · Statistics 2017-06-27 Huan Zhang , Si Si , Cho-Jui Hsieh

Generation of optimal codes is a well known problem in coding theory. Many computational approaches exist in the literature for finding record breaking codes. However generating codes with long lengths $n$ using serial algorithms is…

Information Theory · Computer Science 2015-07-21 Srajan Paliwal , Saurabh Tiwary , Bhaskar Chaudhury , Manish K. Gupta

We describe source code level parallelization for the {\tt kira} direct gravitational $N$-body integrator, the workhorse of the {\tt starlab} production environment for simulating dense stellar systems. The parallelization strategy, called…

The future of computation is the Graphical Processing Unit, i.e. the GPU. The promise that the graphics cards have shown in the field of image processing and accelerated rendering of 3D scenes, and the computational capability that these…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-21 Jayshree Ghorpade , Jitendra Parande , Madhura Kulkarni , Amit Bawaskar

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

Computational Physics · Physics 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov

We introduce our new binary tree code for neighbour search and gravitational force calculations in an N-particle system. The tree is built in a "top-down" fashion by "recursive coordinate bisection" where on each tree level we split the…

Instrumentation and Methods for Astrophysics · Physics 2011-11-24 Emanuel Gafton , Stephan Rosswog

We continue our presentation of VINE. We begin with a description of relevant architectural properties of the serial and shared memory parallel computers on which VINE is intended to run, and describe their influences on the design of the…

Astrophysics · Physics 2009-10-02 Andrew F. Nelson , M. Wetzstein , T. Naab , .