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We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

数值分析 · 数学 2022-10-10 Sergio Blanes

We develop a novel parallel resampling algorithm for fully parallelized particle filters, which is designed with GPUs (graphics processing units) or similar parallel computing devices in mind. With our new algorithm, a full cycle of…

统计计算 · 统计学 2016-08-17 Kenichiro McAlinn , Teruo Nakatsuma

Many computer vision and human-computer interaction applications developed in recent years need evaluating complex and continuous mathematical functions as an essential step toward proper operation. However, rigorous evaluation of this kind…

最优化与控制 · 数学 2017-11-10 Daniel Berjón , Guillermo Gallego , Carlos Cuevas , Francisco Morán , Narciso García

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

数值分析 · 计算机科学 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

分布式、并行与集群计算 · 计算机科学 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

Principal component analysis (PCA) is a statistical technique commonly used in multivariate data analysis. However, PCA can be difficult to interpret and explain since the principal components (PCs) are linear combinations of the original…

数学软件 · 计算机科学 2013-12-24 W. Liu , H. Zhang , D. Tao , Y. Wang , K. Lu

We present a computational algorithm for computing short range forces between particles. The algorithm has two distinguishing features. First, it is optimized for multi-processor computers, and will use as many processors as are available.…

天体物理学 · 物理学 2008-02-03 Robert C. Ferrell , Edmund Bertschinger

Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to large sets of complicated rational functions, performance of…

高能物理 - 唯象学 · 物理学 2022-12-19 Dominik Bendle , Janko Boehm , Murray Heymann , Rourou Ma , Mirko Rahn , Lukas Ristau , Marcel Wittmann , Zihao Wu , Yang Zhang

We present efficient algorithms to build data structures and the lists needed for fast multipole methods. The algorithms are capable of being efficiently implemented on both serial, data parallel GPU and on distributed architectures. With…

数学软件 · 计算机科学 2013-01-10 Qi Hu , Nail A. Gumerov , Ramani Duraiswami

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

数据结构与算法 · 计算机科学 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

The paper deals with the developing of the methodological backgrounds for the modeling and simulation of complex dynamical objects. Such backgrounds allow us to perform coordinate transformation and formulate the algorithm of its usage for…

分布式、并行与集群计算 · 计算机科学 2019-08-07 Roman Voliansky , Andri Pranolo

Subgraph matching is a basic operation widely used in many applications. However, due to its NP-hardness and the explosive growth of graph data, it is challenging to compute subgraph matching, especially in large graphs. In this paper, we…

数据库 · 计算机科学 2021-02-25 Xin Jin , Zhengyi Yang , Xuemin Lin , Shiyu Yang , Lu Qin , You Peng

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 统计学 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Traditional heterogeneous parallel algorithms, designed for heterogeneous clusters of workstations, are based on the assumption that the absolute speed of the processors does not depend on the size of the computational task. This assumption…

分布式、并行与集群计算 · 计算机科学 2011-09-15 Alexey Lastovetsky , Ravi Reddy , Vladimir Rychkov , David Clarke

Applications that require substantial computational resources today cannot avoid the use of heavily parallel machines. Embracing the opportunities of parallel computing and especially the possibilities provided by a new generation of…

计算物理 · 物理学 2017-09-14 Martin Weigel

The PC algorithm is the state-of-the-art algorithm for causal structure discovery on observational data. It can be computationally expensive in the worst case due to the conditional independence tests are performed in an…

机器学习 · 计算机科学 2021-09-13 Kai Zhang , Chao Tian , Kun Zhang , Todd Johnson , Xiaoqian Jiang

Large-scale GPU traces play a critical role in identifying performance bottlenecks within heterogeneous High-Performance Computing (HPC) architectures. However, the sheer volume and complexity of a single trace of data make performance…

分布式、并行与集群计算 · 计算机科学 2025-10-22 Ankur Lahiry , Ayush Pokharel , Banooqa Banday , Seth Ockerman , Amal Gueroudji , Mohammad Zaeed , Tanzima Z. Islam , Line Pouchard

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…

计算物理 · 物理学 2013-11-20 R. Meyer

Matrix Factorization (MF) has been widely applied in machine learning and data mining. A large number of algorithms have been studied to factorize matrices. Among them, stochastic gradient descent (SGD) is a commonly used method.…

分布式、并行与集群计算 · 计算机科学 2020-06-30 Yuanhang Yu , Dong Wen , Ying Zhang , Xiaoyang Wang , Wenjie Zhang , Xuemin Lin
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