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I describe here the performances of a parallel treecode with individual particle timesteps. The code is based on the Barnes-Hut algorithm and runs cosmological N-body simulations on parallel machines with a distributed memory architecture…

Astrophysics · Physics 2007-05-23 R. Valdarnini

We have developed a new parallel tree method which will be called the forest method hereafter. This new method uses the sectional Voronoi tessellation (SVT) for the domain decomposition. The SVT decomposes a whole space into polyhedra and…

Astrophysics · Physics 2009-10-31 H. Yahagi , M. Mori , Y. Yoshii

Sorting is one of the most basic algorithms, and developing highly parallel sorting programs is becoming increasingly important in high-performance computing because the number of CPU cores per node in modern supercomputers tends to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-08 Tomoyuki Tokuue , Tomoaki Ishiyama

Tree kernels are fundamental tools that have been leveraged in many applications, particularly those based on machine learning for Natural Language Processing tasks. In this paper, we devise a parallel implementation of the sequential…

Computation and Language · Computer Science 2023-05-16 Souad Taouti , Hadda Cherroun , Djelloul Ziadi

We review the recent optimizations of gravitational $N$-body kernels for running them on graphics processing units (GPUs), on single hosts and massive parallel platforms. For each of the two main $N$-body techniques, direct summation and…

Instrumentation and Methods for Astrophysics · Physics 2014-09-22 Simon Portegies Zwart , Jeroen Bédorf

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

Minimum Spanning Tree (MST) is an important graph algorithm that has wide ranging applications in the areas of computer networks, VLSI routing, wireless communications among others. Today virtually every computer is built out of multi-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-15 Suryanarayana Murthy Durbhakula

Monte Carlo Tree Search (MCTS) methods have achieved great success in many Artificial Intelligence (AI) benchmarks. The in-tree operations become a critical performance bottleneck in realizing parallel MCTS on CPUs. In this work, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-25 Yuan Meng , Rajgopal Kannan , Viktor Prasanna

The construction of cut trees (also known as Gomory-Hu trees) for a given graph enables the minimum-cut size of the original graph to be obtained for any pair of vertices. Cut trees are a powerful back-end for graph management and mining,…

Data Structures and Algorithms · Computer Science 2016-09-29 Takuya Akiba , Yoichi Iwata , Yosuke Sameshima , Naoto Mizuno , Yosuke Yano

We present an MPI-parallel algorithm for the in-situ visualization of computational data that is built around a distributed linear forest-of-octrees data structure. Such octrees are frequently used in element-based numerical simulations;…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-06 Carsten Burstedde

We compare different methods for sampling from discrete probability distributions and introduce a new algorithm which is especially efficient on massively parallel processors, such as GPUs. The scheme preserves the distribution properties…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Nikolaus Binder , Alexander Keller

This paper presents a batch-parallel 2-3 tree T in an asynchronous dynamic multithreading model that supports searches, insertions and deletions in sorted batches and has essentially optimal parallelism, even under the restrictive QRMW…

Data Structures and Algorithms · Computer Science 2021-10-25 Wei Quan Lim

Extracting a Construction Tree from potentially noisy point clouds is an important aspect of Reverse Engineering tasks in Computer Aided Design. Solutions based on algorithmic geometry impose constraints on usable model representations…

Graphics · Computer Science 2020-08-11 Markus Friedrich , Sebastian Feld , Thomy Phan , Pierre-Alain Fayolle

The block tree [Belazzougui et al., J. Comput. Syst. Sci. '21] is a compressed representation of a length-$n$ text that supports access, rank, and select queries while requiring only $O(z\log\frac{n}{z})$ words of space, where $z$ is the…

Data Structures and Algorithms · Computer Science 2025-12-30 Robert Clausecker , Florian Kurpicz , Etienne Palanga

This paper introduces a search algorithm for index structures based on a B+ tree, specifically optimized for execution on a field-programmable gate array (FPGA). Our implementation efficiently traverses and reuses tree nodes by processing a…

Hardware Architecture · Computer Science 2026-04-24 Max Tzschoppe , Martin Wilhelm , Sven Groppe , Thilo Pionteck

Decision trees are highly famous in machine learning and usually acquire state-of-the-art performance. Despite that, well-known variants like CART, ID3, random forest, and boosted trees miss a probabilistic version that encodes prior…

Artificial Intelligence · Computer Science 2022-07-27 Efthyvoulos Drousiotis , Paul G. Spirakis

In this paper, we describe the design and performance of GRAPE-6A, a special-purpose computer for gravitational many-body simulations. It was designed to be used with a PC cluster, in which each node has one GRAPE-6A. Such configuration is…

Astrophysics · Physics 2015-06-24 Toshiyuki Fukushige , Junichiro Makino , Atsushi Kawai

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

Computational Physics · Physics 2013-11-20 R. Meyer

The present work attempts to integrate the independent efforts in the fast N-body community to create the fastest N-body library for many-core and heterogenous architectures. Focus is placed on low accuracy optimizations, in response to the…

Numerical Analysis · Computer Science 2012-09-20 Rio Yokota

The kd-tree is a fundamental tool in computer science. Among other applications, the application of kd-tree search (by the tree method) to the fast evaluation of particle interactions and neighbor search is highly important, since the…

Instrumentation and Methods for Astrophysics · Physics 2011-12-21 Naohito Nakasato