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Classical multivariate statistical methods such as covariance estimation and principal component analysis are well understood mathematically, yet their application at extreme data scales remains challenging. When the number of observations…

Computation · Statistics 2026-05-20 Mike Crowhurst

We show how to accelerate the direct solution of the Boltzmann equation using Graphics Processing Units (GPUs). In order to fully exploit the computational power of the GPU, we choose a method of solution which combines a finite difference…

Computational Physics · Physics 2011-08-18 Aldo Frezzotti , Gian Pietro Ghiroldi , Livio Gibelli

We discuss an implementation of adaptive fast multipole methods targeting hybrid multicore CPU- and GPU-systems. From previous experiences with the computational profile of our version of the fast multipole algorithm, suitable parts are…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-03 Marcus Holm , Stefan Engblom , Anders Goude , Sverker Holmgren

This paper explores combinatorial optimization for problems of max-weight graph matching on multi-partite graphs, which arise in integrating multiple data sources. Entity resolution-the data integration problem of performing noisy joins on…

Databases · Computer Science 2014-02-04 Duo Zhang , Benjamin I. P. Rubinstein , Jim Gemmell

Evolutionary computing (EC) has proven to be effective in solving complex optimization and robotics problems. Unfortunately, typical Evolutionary Algorithms (EAs) are constrained by the computational capacity available to researchers. More…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-19 Rustam Eynaliyev , Houcen Liu

Correlation Plenoptic Imaging (CPI) is a novel technological imaging modality enabling to overcome drawbacks of standard plenoptic devices, while preserving their advantages. However, a major challenge in view of real-time application of…

In this paper, we investigate GPU based parallel triangular solvers systematically. The parallel triangular solvers are fundamental to incomplete LU factorization family preconditioners and algebraic multigrid solvers. We develop a new…

Mathematical Software · Computer Science 2016-06-03 Zhangxin Chen , Hui Liu , Bo Yang

Huge amount of data in the form of strings are being handled in bio-computing applications and searching algorithms are quite frequently used in them. Many methods utilizing on both software and hardware are being proposed to accelerate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-31 D. Herath , C. Lakmali , R. G. Ragel

Approximate Nearest Neighbor Search (ANNS) underpins many large-scale data mining and machine learning applications, with efficient retrieval increasingly hinging on GPU acceleration as dataset sizes grow. Although graph-based approaches…

Databases · Computer Science 2026-02-20 Yaowen Liu , Xuejia Chen , Anxin Tian , Haoyang Li , Qinbin Li , Xin Zhang , Alexander Zhou , Chen Jason Zhang , Qing Li , Lei Chen

These notes accompany the open-source code published in GitHub which implements a GPU-based line-segment, surface-triangle intersection algorithm in CUDA. It mentions some relevant works and discusses issues specific to this implementation.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-08 Raymond Leung

The performance of graph programs depends highly on the algorithm, the size and structure of the input graphs, as well as the features of the underlying hardware. No single set of optimizations or one hardware platform works well across all…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-11 Ajay Brahmakshatriya , Yunming Zhang , Changwan Hong , Shoaib Kamil , Julian Shun , Saman Amarasinghe

We consider the incomplete multi-graph matching problem, which is a generalization of the NP-hard quadratic assignment problem for matching multiple finite sets. Multi-graph matching plays a central role in computer vision, e.g., for…

Computer Vision and Pattern Recognition · Computer Science 2024-06-27 Max Kahl , Sebastian Stricker , Lisa Hutschenreiter , Florian Bernard , Bogdan Savchynskyy

Matlab is very widely used in scientific computing, but Matlab computational efficiency is lower than C language program. In order to improve the computing speed, some toolbox can use GPU to accelerate the computation. This paper describes…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-26 Mingzhe Wang , Bo Wang , Qiu He , Xiuxiu Liu , Kunshuai Zhu

The Maximum Common Subgraph is a computationally challenging problem with countless practical applications. Even if it has been long proven NP-hard, its importance still motivates searching for exact solutions. This work starts by…

Data Structures and Algorithms · Computer Science 2020-11-09 Andrea Marcelli , Stefano Quer , Giovanni Squillero

All-pairs compute problems apply a user-defined function to each combination of two items of a given data set. Although these problems present an abundance of parallelism, data reuse must be exploited to achieve good performance. Several…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-11 Stijn Heldens , Pieter Hijma , Ben van Werkhoven , Jason Maassen , Henri Bal , Rob van Nieuwpoort

We study the problem of determining whether a given graph~$G=(V,E)$ admits a matching~$M$ whose removal destroys all odd cycles of~$G$ (or equivalently whether~$G-M$ is bipartite). This problem is equivalent to determine whether~$G$ admits…

Discrete Mathematics · Computer Science 2019-06-12 Carlos V. G. C. Lima , Dieter Rautenbach , Uéverton S. Souza , Jayme L. Szwarcfiter

We propose a fast approximate algorithm for large graph matching. A new projected fixed-point method is defined and a new doubly stochastic projection is adopted to derive the algorithm. Previous graph matching algorithms suffer from high…

Computer Vision and Pattern Recognition · Computer Science 2012-08-13 Yao Lu , Kaizhu Huang , Cheng-Lin Liu

We consider the question of speeding up classic graph algorithms with machine-learned predictions. In this model, algorithms are furnished with extra advice learned from past or similar instances. Given the additional information, we aim to…

Data Structures and Algorithms · Computer Science 2022-04-27 Justin Y. Chen , Sandeep Silwal , Ali Vakilian , Fred Zhang

We describe a graph-based neural acceleration technique for nonnegative matrix factorization that builds upon a connection between matrices and bipartite graphs that is well-known in certain fields, e.g., sparse linear algebra, but has not…

Machine Learning · Computer Science 2022-02-02 Jens Sjölund , Maria Bånkestad

[Abridged] We present the results of a highly parallel Kepler equation solver using the Graphics Processing Unit (GPU) on a commercial nVidia GeForce 280GTX and the "Compute Unified Device Architecture" programming environment. We apply…

Astrophysics · Physics 2008-12-17 Eric B. Ford