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We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

This work introduces a hybrid quantum-classical method to correlation clustering, a graph-based unsupervised learning task that seeks to partition the nodes in a graph based on pairwise agreement and disagreement. In particular, we adapt…

The number of triangles in a graph is a fundamental metric, used in social network analysis, link classification and recommendation, and more. Driven by these applications and the trend that modern graph datasets are both large and dynamic,…

Databases · Computer Science 2013-08-12 Kanat Tangwongsan , A. Pavan , Srikanta Tirthapura

We present an efficient distributed memory parallel algorithm for computing connected components in undirected graphs based on Shiloach-Vishkin's PRAM approach. We discuss multiple optimization techniques that reduce communication volume as…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-15 Chirag Jain , Patrick Flick , Tony Pan , Oded Green , Srinivas Aluru

We propose a CPU-GPU heterogeneous computing method for solving time-evolution partial differential equation problems many times with guaranteed accuracy, in short time-to-solution and low energy-to-solution. On a single-GH200 node, the…

Computational Engineering, Finance, and Science · Computer Science 2024-10-01 Tsuyoshi Ichimura , Kohei Fujita , Muneo Hori , Lalith Maddegedara , Jack Wells , Alan Gray , Ian Karlin , John Linford

MultiBUGS (https://www.multibugs.org) is a new version of the general-purpose Bayesian modelling software BUGS that implements a generic algorithm for parallelising Markov chain Monte Carlo (MCMC) algorithms to speed up posterior inference…

Computation · Statistics 2020-10-09 Robert J. B. Goudie , Rebecca M. Turner , Daniela De Angelis , Andrew Thomas

Data-intensive, graph-based computations are pervasive in several scientific applications, and are known to to be quite challenging to implement on distributed memory systems. In this work, we explore the design space of parallel algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-17 Aydin Buluc , Kamesh Madduri

The kernel-based multi-scale method has been proven to be a powerful approximation method for scattered data approximation problems which is computationally superior to conventional kernel-based interpolation techniques. The multi-scale…

Numerical Analysis · Mathematics 2025-03-10 Federico Lot , Christian Rieger

Counting and finding triangles in graphs is often used in real-world analytics to characterize cohesiveness and identify communities in graphs. In this paper, we propose the novel concept of a cover-edge set that can be used to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 David A. Bader , Fuhuan Li , Anya Ganeshan , Ahmet Gundogdu , Jason Lew , Oliver Alvarado Rodriguez , Zhihui Du

Community detection plays a central role in uncovering meso scale structures in networks. However, existing methods often suffer from disconnected or weakly connected clusters, undermining interpretability and robustness. Well-Connected…

Social and Information Networks · Computer Science 2025-09-04 Mohammad Dindoost , Oliver Alvarado Rodriguez , Bartosz Bryg , Minhyuk Park , George Chacko , Tandy Warnow , David A. Bader

Aggregate Risk Analysis is a computationally intensive and a data intensive problem, thereby making the application of high-performance computing techniques interesting. In this paper, the design and implementation of a parallel Aggregate…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-10 Blesson Varghese , Andrew Rau-Chaplin

Subgraph counting aims to count occurrences of a template T in a given network G(V, E). It is a powerful graph analysis tool and has found real-world applications in diverse domains. Scaling subgraph counting problems is known to be memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Langshi Chen , Jiayu Li , Ariful Azad , Cenk Sahinalp , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

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

We present shared-memory parallel methods for Maximal Clique Enumeration (MCE) from a graph. MCE is a fundamental and well-studied graph analytics task, and is a widely used primitive for identifying dense structures in a graph. Due to its…

Data Structures and Algorithms · Computer Science 2020-01-30 Apurba Das , Seyed-Vahid Sanei-Mehri , Srikanta Tirthapura

Spatial Branch and Bound (B&B) algorithms are widely used for solving nonconvex problems to global optimality, yet they remain computationally expensive. Though some works have been carried out to speed up B&B via CPU parallelization, GPU…

Optimization and Control · Mathematics 2025-07-29 Hongzhen Zhang , Tim Kerkenhoff , Neil Kichler , Manuel Dahmen , Alexander Mitsos , Uwe Naumann , Dominik Bongartz

Given a bipartite graph, the maximum balanced biclique (\textsf{MBB}) problem, discovering a mutually connected while equal-sized disjoint sets with the maximum cardinality, plays a significant role for mining the bipartite graph and has…

Data Structures and Algorithms · Computer Science 2020-07-20 Lu Chen , Chengfei Liu , Rui Zhou , Jiajie Xu , Jianxin Li

Lattice QCD calculations were one of the first applications to show the potential of GPUs in the area of high performance computing. Our interest is to find ways to effectively use GPUs for lattice calculations using the overlap operator.…

High Energy Physics - Lattice · Physics 2011-06-27 Andrei Alexandru , Michael Lujan , Craig Pelissier , Ben Gamari , Frank X. Lee

In this paper, we demonstrate how GPU-accelerated BEM routines can be used in a simple black-box fashion to accelerate fast boundary element formulations based on Hierarchical Matrices (H-Matrices) with ACA (Adaptive Cross Approximation).…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Kerstin Vater , Timo Betcke , Boris Dilba

In this paper, we report an optimized union-find (UF) algorithm that can label the connected components on a 2D image efficiently by employing the GPU architecture. The proposed method contains three phases: UF-based local merge, boundary…

Computer Vision and Pattern Recognition · Computer Science 2017-08-30 Jun Chen , Qiang Yao , Houari Sabirin , Keisuke Nonaka , Hiroshi Sankoh , Sei Naito

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

Data Structures and Algorithms · Computer Science 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier