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The $k$-core decomposition is a widely studied summary statistic that describes a graph's global connectivity structure. In this paper, we move beyond using $k$-core decomposition as a tool to summarize a graph and propose using $k$-core…

Statistics Theory · Mathematics 2016-11-29 Vishesh Karwa , Michael J. Pelsmajer , Sonja Petrović , Despina Stasi , Dane Wilburne

Over the last two decades, frameworks for distributed-memory parallel computation, such as MapReduce, Hadoop, Spark and Dryad, have gained significant popularity with the growing prevalence of large network datasets. The Massively Parallel…

Data Structures and Algorithms · Computer Science 2022-07-19 Amartya Shankha Biswas , Talya Eden , Quanquan C. Liu , Slobodan Mitrović , Ronitt Rubinfeld

Sequential computation is well understood but does not scale well with current technology. Within the next decade, systems will contain large numbers of processors with potentially thousands of processors per chip. Despite this, many…

Hardware Architecture · Computer Science 2015-11-17 James Hanlon

The densest subgraph problem has received significant attention, both in theory and in practice, due to its applications in problems such as community detection, social network analysis, and spam detection. Due to the high cost of obtaining…

Data Structures and Algorithms · Computer Science 2023-11-09 Pattara Sukprasert , Quanquan C. Liu , Laxman Dhulipala , Julian Shun

This paper proposes a parallel numerical algorithm to simulate the flow and the transport in a discrete fracture network taking into account the mass exchanges with the surrounding matrix. The discretization of the Darcy fluxes is based on…

Numerical Analysis · Mathematics 2016-11-18 Feng Xing , Roland Masson , Simon Lopez

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

SOM is a type of unsupervised learning where the goal is to discover some underlying structure of the data. In this paper, a new extraction method based on the main idea of Concurrent Self-Organizing Maps (CSOM), representing a…

Computer Vision and Pattern Recognition · Computer Science 2014-08-21 Mohammed M. Abdelsamea

We present PKT, a new shared-memory parallel algorithm and OpenMP implementation for the truss decomposition of large sparse graphs. A k-truss is a dense subgraph definition that can be considered a relaxation of a clique. Truss…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-10 Humayun Kabir , Kamesh Madduri

We consider a sparse matrix-matrix multiplication (SpGEMM) setting where one matrix is square and the other is tall and skinny. This special variant, called TS-SpGEMM, has important applications in multi-source breadth-first search,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

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

High-level applications, such as machine learning, are evolving from simple models based on multilayer perceptrons for simple image recognition to much deeper and more complex neural networks for self-driving vehicle control systems.The…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-12 Guixiang Ma , Yao Xiao , Theodore L. Willke , Nesreen K. Ahmed , Shahin Nazarian , Paul Bogdan

In practical machine learning systems, graph based data representation has been widely used in various learning paradigms, ranging from unsupervised clustering to supervised classification. Besides those applications with natural graph or…

Machine Learning · Computer Science 2012-10-19 Jun Wang , Yinglong Xia

Betweenness centrality (BC) is an important graph analytical application for large-scale graphs. While there are many efforts for parallelizing betweenness centrality algorithms on multi-core CPUs and many-core GPUs, in this work, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-14 Ashirbad Mishra , Sathish Vadhiyar , Rupesh Nasre , Keshav Pingali

We present a new open-source cosmological code, called SWIFT, designed to solve the equations of hydrodynamics using a particle-based approach (Smooth Particle Hydrodynamics) on hybrid shared/distributed-memory architectures. SWIFT was…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-03 Matthieu Schaller , Pedro Gonnet , Aidan B. G. Chalk , Peter W. Draper

The self-join finds all objects in a dataset that are within a search distance, epsilon, of each other; therefore, the self-join is a building block of many algorithms. We advance a GPU-accelerated self-join algorithm targeted towards high…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-27 Michael Gowanlock , Ben Karsin

Distributed computing excels at processing large scale data, but the communication cost for synchronizing the shared parameters may slow down the overall performance. Fortunately, the interactions between parameter and data in many problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Mu Li , Dave G. Andersen , Alexander J. Smola

Structured Cartesian grids are a fundamental component in numerical simulations. Although these grids facilitate straightforward discretization schemes, their na\"{i}ve use in sparse domains leads to excessive memory overhead and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-15 Fan Gu , Xiangyu Hu

This paper describes the parallel implementation of the TRANSIMS traffic micro-simulation. The parallelization method is domain decomposition, which means that each CPU of the parallel computer is responsible for a different geographical…

Computational Engineering, Finance, and Science · Computer Science 2016-08-31 Kai Nagel , Marcus Rickert

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

High fidelity scientific simulations modeling physical phenomena typically require solving large linear systems of equations which result from discretization of a partial differential equation (PDE) by some numerical method. This step often…

Mathematical Software · Computer Science 2020-07-01 Mohammad Shafaet Islam , Qiqi Wang