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The $k$-core decomposition is a fundamental primitive in many machine learning and data mining applications. We present the first distributed and the first streaming algorithms to compute and maintain an approximate $k$-core decomposition…

Data Structures and Algorithms · Computer Science 2018-11-27 Hossein Esfandiari , Silvio Lattanzi , Vahab Mirrokni

Nucleus decompositions have been shown to be a useful tool for finding dense subgraphs. The coreness value of a clique represents its density based on the number of other cliques it is adjacent to. One useful output of nucleus decomposition…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Jessica Shi , Laxman Dhulipala , Julian Shun

Algorithms for finding minimum or bounded vertex covers in graphs use a branch-and-reduce strategy, which involves exploring a highly imbalanced search tree. Prior GPU solutions assign different thread blocks to different sub-trees, while…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Hussein Amro , Basel Fakhri , Amer E. Mouawad , Izzat El Hajj

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

We propose a scalable framework for solving the Maximum Cut (MaxCut) problem in large graphs using projected gradient ascent on quadratic objectives. Our approach is differentiable and leverages GPUs for gradient-based optimization. It is…

Discrete Mathematics · Computer Science 2026-02-02 Ismail Alkhouri , Mian Wu , Cunxi Yu , Jia Liu , Rongrong Wang , Alvaro Velasquez

Hardware accelerators such as Graphics Processing Units (GPUs), Intel Xeon Phi co-processors (PHIs), and Field-Programmable Gate Arrays (FPGAs) are now ubiquitous in extreme-scale high performance computing (HPC), cloud, and Big data…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-16 Daniel Hanlon , Hamidreza Khalighzadeh , Ravi Reddy Manumachu , Alexey Lastovetsky

Graph processing requires irregular, fine-grained random access patterns incompatible with contemporary off-chip memory architecture, leading to inefficient data access. This inefficiency makes graph processing an extremely memory-bound…

Hardware Architecture · Computer Science 2025-03-11 Changmin Shin , Jaeyong Song , Hongsun Jang , Dogeun Kim , Jun Sung , Taehee Kwon , Jae Hyung Ju , Frank Liu , Yeonkyu Choi , Jinho Lee

This paper presents efforts to improve the hierarchical parallelism of a two scale simulation code. Two methods to improve the GPU parallel performance were developed and compared. The first used the NVIDIA Multi-Process Service and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Jacob Merson , Mark S. Shephard

Maintaining a dynamic $k$-core decomposition is an important problem that identifies dense subgraphs in dynamically changing graphs. Recent work by Liu et al. [SPAA 2022] presents a parallel batch-dynamic algorithm for maintaining an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Quanquan C. Liu , Julian Shun , Igor Zablotchi

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

The analysis of several algorithms and data structures can be framed as a peeling process on a random hypergraph: vertices with degree less than k and their adjacent edges are removed until no vertices of degree less than k are left. Often…

Computational Complexity · Computer Science 2016-06-03 Michael Mitzenmacher , Vikram Nathan

Hierarchical $\mathcal{H}^2$-matrices are asymptotically optimal representations for the discretizations of non-local operators such as those arising in integral equations or from kernel functions. Their $O(N)$ complexity in both memory and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-14 Stefano Zampini , Wajih Boukaram , George Turkiyyah , Omar Knio , David E. Keyes

Neural networks are the pinnacle of Artificial Intelligence, as in recent years we witnessed many novel architectures, learning and optimization techniques for deep learning. Capitalizing on the fact that neural networks inherently…

Machine Learning · Computer Science 2022-09-12 Stratis Limnios , George Dasoulas , Dimitrios M. Thilikos , Michalis Vazirgiannis

We carry out a comparative performance study of multi-core CPUs, GPUs and Intel Xeon Phi (Many Integrated Core - MIC) with a microscopy image analysis application. We experimentally evaluate the performance of computing devices on core…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-15 George Teodoro , Tahsin Kurc , Guilherme Andrade , Jun Kong , Renato Ferreira , Joel Saltz

Graph edge partitioning is an important preprocessing step to optimize distributed computing jobs on graph-structured data. The edge set of a given graph is split into $k$ equally-sized partitions, such that the replication of vertices…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-25 Ruben Mayer , Kamil Orujzade , Hans-Arno Jacobsen

Ptychography is a popular microscopic imaging modality for many scientific discoveries and sets the record for highest image resolution. Unfortunately, the high image resolution for ptychographic reconstruction requires significant amount…

Image and Video Processing · Electrical Eng. & Systems 2022-12-19 Xiao Wang , Aristeidis Tsaris , Debangshu Mukherjee , Mohamed Wahib , Peng Chen , Mark Oxley , Olga Ovchinnikova , Jacob Hinkle

Graph mining is one of the most important categories of graph algorithms. However, exploring the subgraphs of an input graph produces a huge amount of intermediate data. The 'think like a vertex' programming paradigm, pioneered by Pregel,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-24 Cheng Zhao , Zhibin Zhang , Peng Xu , Tianqi Zheng , Xueqi Cheng

The recent introduction of powerful embedded graphics processing units (GPUs) has allowed for unforeseen improvements in real-time computer vision applications. It has enabled algorithms to run onboard, well above the standard video rates,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Balazs Nagy , Philipp Foehn , Davide Scaramuzza

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun