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A novel Gibbs Markov random field for spatial data on Cartesian grids based on the modified planar rotator (MPR) model of statistical physics has been recently introduced for efficient and automatic interpolation of big data sets, such as…

Computational Physics · Physics 2019-10-21 Milan Žukovič , Michal Borovský , Matúš Lach , Dionissios T. Hristopulos

This paper investigates the usage of FPGA devices for energy-efficient exact kNN search in high-dimension latent spaces. This work intercepts a relevant trend that tries to support the increasing popularity of learned representations based…

Information Retrieval · Computer Science 2025-10-21 Patrizio Dazzi , William Guglielmo , Franco Maria Nardini , Raffaele Perego , Salvatore Trani

Neighbor graphs capture relationships among data points and are widely used in data analytics and AI workloads. Many studies have explored approximate construction methods for single-node systems, including GPUs. However, extending this to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-28 Keita Iwabuchi , Trevor Steil , Benjamin W. Priest , Grace J. Li , Geoffrey Sanders , Roger Pearce

Gadget3 is nowadays one of the most frequently used high performing parallel codes for cosmological hydrodynamical simulations. Recent analyses have shown t\ hat the Neighbour Search process of Gadget3 is one of the most time-consuming…

Instrumentation and Methods for Astrophysics · Physics 2018-11-07 Antonio Ragagnin , Nikola Tchipev , Michael Bader , Klaus Dolag , Nicolay J. Hammer

An improved neighbor list algorithm is proposed to reduce unnecessary interatomic distance calculations in molecular simulations. It combines the advantages of Verlet table and cell linked list algorithms by using cell decomposition…

Computational Physics · Physics 2009-11-10 Zhenhua Yao , Jian-Sheng Wang , Gui-Rong Liu , Min Cheng

Calculation of near-neighbor interactions among high dimensional, irregularly distributed data points is a fundamental task to many graph-based or kernel-based machine learning algorithms and applications. Such calculations, involving…

Near-data accelerators (NDAs) that are integrated with main memory have the potential for significant power and performance benefits. Fully realizing these benefits requires the large available memory capacity to be shared between the host…

Hardware Architecture · Computer Science 2020-12-02 Benjamin Y. Cho , Yongkee Kwon , Sangkug Lym , Mattan Erez

In the quest for highest performance in scientific computing, we present a novel framework that relies on high-bandwidth communication between GPUs in a compute cluster. The framework offers linear scaling of performance for explicit…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Martin Rose , Simon Homes , Lukas Ramsperger , Jose Gracia , Christoph Niethammer , Jadran Vrabec

In this paper, we propose cuSLINK, a novel and state-of-the-art reformulation of the SLINK algorithm on the GPU which requires only $O(Nk)$ space and uses a parameter $k$ to trade off space and time. We also propose a set of novel and…

Machine Learning · Computer Science 2023-06-29 Corey J. Nolet , Divye Gala , Alex Fender , Mahesh Doijade , Joe Eaton , Edward Raff , John Zedlewski , Brad Rees , Tim Oates

We present the first sublinear memory sketch that can be queried to find the nearest neighbors in a dataset. Our online sketching algorithm compresses an N element dataset to a sketch of size $O(N^b \log^3 N)$ in $O(N^{(b+1)} \log^3 N)$…

Data Structures and Algorithms · Computer Science 2020-09-15 Benjamin Coleman , Richard G. Baraniuk , Anshumali Shrivastava

Modeling multimetallic systems efficiently enables faster prediction of desirable chemical properties and design of new materials. This work describes an initial implementation for performing multireference wave function method localized…

Computational Physics · Physics 2025-05-08 Valay Agarawal , Rishu Khurana , Cong Liu , Matthew R. Hermes , Christopher Knight , Laura Gagliardi

We propose a fast method for the calculation of short-range interactions in molecular dynamics simulations. The so-called random-batch list method is a stochastic version of the classical neighbor-list method to avoid the construction of a…

Computational Physics · Physics 2021-08-25 Jiuyang Liang , Zhenli Xu , Yue Zhao

We are interested in solving linear systems arising from three applications: (1) kernel methods in machine learning, (2) discretization of boundary integral equations from mathematical physics, and (3) Schur complements formed in the…

Numerical Analysis · Mathematics 2022-08-15 Chao Chen , Per-Gunnar Martinsson

This work presents Squeeze, an efficient compact fractal processing scheme for tensor core GPUs. By combining discrete-space transformations between compact and expanded forms, one can do data-parallel computation on a fractal with…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Felipe A. Quezada , Cristóbal A. Navarro , Nancy Hitschfeld , Benjamin Bustos

Graph search is one of the most successful algorithmic trends in near neighbor search. Several of the most popular and empirically successful algorithms are, at their core, a simple walk along a pruned near neighbor graph. Such algorithms…

Data Structures and Algorithms · Computer Science 2021-04-08 Benjamin Coleman , Santiago Segarra , Anshumali Shrivastava , Alex Smola

The self-join finds all objects in a dataset within a threshold of each other defined by a similarity metric. As such, the self-join is a building block for the field of databases and data mining, and is employed in Big Data applications.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-13 Michael Gowanlock , Ben Karsin

Parallel algorithms on CPU and GPU are implemented for the Unified Gas-Kinetic Scheme and their performances are investigated and compared by a two dimensional channel flow case. The parallel CPU algorithm has a one dimensional block…

Computational Physics · Physics 2018-11-02 Jizhou Liu , Fang Q. Hu , Xiaodong Li

High-performance implementations of $k$-Nearest Neighbor Search ($k$NN) in low dimensions use tree-based data structures. Tree algorithms are hard to parallelize on GPUs due to their irregularity. However, newer Nvidia GPUs offer hardware…

Graphics · Computer Science 2024-04-23 Durga Mandarapu , Vani Nagarajan , Artem Pelenitsyn , Milind Kulkarni

Exact hierarchical agglomerative clustering (HAC) of large spatial datasets is limited in practice by the $\mathcal{O}(n^2)$ time and memory required for the full pairwise distance matrix. We present GSHAC (Geographically Sparse…

Data Structures and Algorithms · Computer Science 2026-04-14 Victor Maus , Vinicius Pozzobon Borin

Nearest neighbor search has found numerous applications in machine learning, data mining and massive data processing systems. The past few years have witnessed the popularity of the graph-based nearest neighbor search paradigm because of…

Machine Learning · Computer Science 2020-12-22 Hongya Wang , Zhizheng Wang , Wei Wang , Yingyuan Xiao , Zeng Zhao , Kaixiang Yang
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