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The locality of a graph problem is the smallest distance $T$ such that each node can choose its own part of the solution based on its radius-$T$ neighborhood. In many settings, a graph problem can be solved efficiently with a distributed or…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-14 Yi-Jun Chang , Jan Studený , Jukka Suomela

We propose Distributed Neighbor Expansion (Distributed NE), a parallel and distributed graph partitioning method that can scale to trillion-edge graphs while providing high partitioning quality. Distributed NE is based on a new heuristic,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-24 Masatoshi Hanai , Toyotaro Suzumura , Wen Jun Tan , Elvis Liu , Georgios Theodoropoulos , Wentong Cai

This paper considers structures of systems beyond dyadic (pairwise) interactions and investigates mathematical modeling of multi-way interactions and connections as hypergraphs, where captured relationships among system entities are…

Discrete Mathematics · Computer Science 2021-07-16 Xu T. Liu , Jesun Firoz , Andrew Lumsdaine , Cliff Joslyn , Sinan Aksoy , Brenda Praggastis , Assefaw Gebremedhin

In this study, we address the complex issue of graph clustering in signed graphs, which are characterized by positive and negative weighted edges representing attraction and repulsion among nodes, respectively. The primary objective is to…

Data Structures and Algorithms · Computer Science 2024-07-10 Felix Hausberger , Marcelo Fonseca Faraj , Christian Schulz

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Distributed systems can be found in various applications, e.g., in robotics or autonomous driving, to achieve higher flexibility and robustness. Thereby, data flow centric applications such as Deep Neural Network (DNN) inference benefit…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-14 Fabian Kreß , El Mahdi El Annabi , Tim Hotfilter , Julian Hoefer , Tanja Harbaum , Juergen Becker

Graph pattern matching, which aims to discover structural patterns in graphs, is considered one of the most fundamental graph mining problems in many real applications. Despite previous efforts, existing systems face two main challenges.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-30 Tianhui Shi , Mingshu Zhai , Yi Xu , Jidong Zhai

Problems in scientific computing, such as distributing large sparse matrix operations, have analogous formulations as hypergraph partitioning problems. A hypergraph is a generalization of a traditional graph wherein "hyperedges" may connect…

Data Structures and Algorithms · Computer Science 2022-06-16 Justin Sybrandt , Ruslan Shaydulin , Ilya Safro

We present a simple mathematical framework and API for parallel mesh and data distribution, load balancing, and overlap generation. It relies on viewing the mesh as a Hasse diagram, abstracting away information such as cell shape,…

Mathematical Software · Computer Science 2015-06-23 Matthew G. Knepley , Michael Lange , Gerard J. Gorman

We introduce a new model for the task mapping problem to aid in the systematic design of algorithms for heterogeneous systems including, but not limited to, CPUs, GPUs and FPGAs. A special focus is set on the communication between the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-15 Martin Wilhelm , Hanna Geppert , Anna Drewes , Thilo Pionteck

The parallel ordering of large graphs is a difficult problem, because on the one hand minimum degree algorithms do not parallelize well, and on the other hand the obtainment of high quality orderings with the nested dissection algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-07-10 Cédric Chevalier , François Pellegrini

With the advent of social networks and the web, the graph sizes have grown too large to fit in main memory precipitating the need for alternative approaches for an efficient, scalable evaluation of queries on graphs of any size. Here, we…

Databases · Computer Science 2019-05-15 Soumyava Das , Abhishek Santra , Jay Bodra , Sharma Chakravarthy

The main computing tasks of a finite element code(FE) for solving partial differential equations (PDE's) are the algebraic system assembly and the iterative solver. This work focuses on the first task, in the context of a hybrid MPI+X…

Mathematical Software · Computer Science 2019-05-28 Marta Garcia-Gasulla , Guillaume Houzeaux , Roger Ferrer , Antoni Artigues , Victor López , Jesús Labarta , Mariano Vázquez

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Due to the coarse granularity of data accesses and the heavy use of latches, indices in the B-tree family are not efficient for in-memory databases, especially in the context of today's multi-core architecture. In this paper, we present PI,…

Databases · Computer Science 2016-01-05 Zhongle Xie , Qingchao Cai , H. V. Jagadish , Beng Chin Ooi , Weng-Fai Wong

With growing deployment of Internet of Things (IoT) and machine learning (ML) applications, which need to leverage computation on edge and cloud resources, it is important to develop algorithms and tools to place these distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-30 Xiangchen Zhao , Diyi Hu , Bhaskar Krishnamachari

Label propagation is a powerful and flexible semi-supervised learning technique on graphs. Neural networks, on the other hand, have proven track records in many supervised learning tasks. In this work, we propose a training framework with a…

Machine Learning · Computer Science 2017-03-16 Thang D. Bui , Sujith Ravi , Vivek Ramavajjala

The MAP model was introduced in information system engineering in order to model processes on a flexible way. The intentional level of this model helps an engineer to execute a process with a strong relationship to the situation of the…

Software Engineering · Computer Science 2009-11-04 Rebecca Deneckere , Elena Kornyshova , Colette Rolland

We have developed a new programming framework, called Sieve, to support parallel numerical PDE algorithms operating over distributed meshes. We have also developed a reference implementation of Sieve in C++ as a library of generic…

Computational Engineering, Finance, and Science · Computer Science 2010-09-02 Matthew G. Knepley , Dmitry A. Karpeev

We present a shared-memory parallelization of flow-based refinement, which is considered the most powerful iterative improvement technique for hypergraph partitioning at the moment. Flow-based refinement works on bipartitions, so current…

Data Structures and Algorithms · Computer Science 2022-01-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders