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In many statistical applications, the dimension is too large to handle for standard high-dimensional machine learning procedures. This is particularly true for graphical models, where the interpretation of a large graph is difficult and…

Statistics Theory · Mathematics 2024-05-20 Luc Devroye , Gábor Lugosi , Piotr Zwiernik

This chapter studies the problem of traversing large graphs using the breadth-first search order on distributed-memory supercomputers. We consider both the traditional level-synchronous top-down algorithm as well as the recently discovered…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-15 Aydin Buluc , Scott Beamer , Kamesh Madduri , Krste Asanovic , David Patterson

Scaling the size of monolithic quantum computer systems is a difficult task. As the number of qubits within a device increases, a number of factors contribute to decreases in yield and performance. To meet this challenge, distributed…

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

Partitioning a graph into balanced components is important for several applications. For multi-objective problems, it is useful not only to find one solution but also to enumerate all the solutions with good values of objectives. However,…

Data Structures and Algorithms · Computer Science 2018-04-09 Yu Nakahata , Jun Kawahara , Shoji Kasahara

Temporal information is increasingly available as part of large network data sets. This information reveals sequences of link activations between network entities, which can expose underlying processes in the data. Examples include the…

Social and Information Networks · Computer Science 2016-05-10 Ursula Redmond , Pádraig Cunningham

Recent advances in graph processing on FPGAs promise to alleviate performance bottlenecks with irregular memory access patterns. Such bottlenecks challenge performance for a growing number of important application areas like machine…

Hardware Architecture · Computer Science 2022-06-20 Jonas Dann , Daniel Ritter , Holger Fröning

Hypergraph partitioning is an NP-hard problem that occurs in many computer science applications where it is necessary to reduce large problems into a number of smaller, computationally tractable sub-problems. Current techniques use a…

Neural and Evolutionary Computing · Computer Science 2022-12-06 Richard J. Preen , Jim Smith

In the realm of distributed systems tasked with managing and processing large-scale graph-structured data, optimizing graph partitioning stands as a pivotal challenge. The primary goal is to minimize communication overhead and runtime cost.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-29 Zezhong Ding , Yongan Xiang , Shangyou Wang , Xike Xie , S. Kevin Zhou

In recent years, significant advances have been made in the design and evaluation of balanced (hyper)graph partitioning algorithms. We survey trends of the last decade in practical algorithms for balanced (hyper)graph partitioning together…

Graph is a well known data structure to represent the associated relationships in a variety of applications, e.g., data science and machine learning. Despite a wealth of existing efforts on developing graph processing systems for improving…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-28 Chuangyi Gui , Long Zheng , Bingsheng He , Cheng Liu , Xinyu Chen , Xiaofei Liao , Hai Jin

More and more large data collections are gathered worldwide in various IT systems. Many of them possess the networked nature and need to be processed and analysed as graph structures. Due to their size they require very often usage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 Tomasz Kajdanowicz , Przemyslaw Kazienko , Wojciech Indyk

One of the most fundamental problems in computer science is the reachability problem: Given a directed graph and two vertices s and t, can s reach t via a path? We revisit existing techniques and combine them with new approaches to support…

Data Structures and Algorithms · Computer Science 2021-02-02 Kathrin Hanauer , Christian Schulz , Jonathan Trummer

Algorithms for laying out large graphs have seen significant progress in the past decade. However, browsing large graphs remains a challenge. Rendering thousands of graphical elements at once often results in a cluttered image, and…

Answering exact shortest path distance queries is a fundamental task in graph theory. Despite a tremendous amount of research on the subject, there is still no satisfactory solution that can scale to billion-scale complex networks.…

Data Structures and Algorithms · Computer Science 2021-02-18 Muhammad Farhan , Qing Wang , Yu Lin , Brendan Mckay

Quantum computers face inherent scaling challenges, a fact that necessitates investigation of distributed quantum computing systems, whereby scaling is achieved through interconnection of smaller quantum processing units. However,…

Quantum Physics · Physics 2026-01-21 Felix Burt , Kuan-Cheng Chen , Kin K. Leung

Big graph mining is an important research area and it has attracted considerable attention. It allows to process, analyze, and extract meaningful information from large amounts of graph data. Big graph mining has been highly motivated not…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-07 Sabeur Aridhi , Engelbert Mephu Nguifo

Graph Neural Networks (GNNs) have demonstrated remarkable performance in a wide range of tasks, such as node classification, link prediction, and graph classification, by exploiting the structural information in graph-structured data.…

Machine Learning · Computer Science 2026-01-09 Oscar Llorente , Jaime Boal , Eugenio F. Sánchez-Úbeda , Antonio Diaz-Cano , Miguel Familiar

This paper initiates the study of the classic balanced graph partitioning problem from an online perspective: Given an arbitrary sequence of pairwise communication requests between $n$ nodes, with patterns that may change over time, the…

Data Structures and Algorithms · Computer Science 2020-05-15 Chen Avin , Marcin Bienkowski , Andreas Loukas , Maciej Pacut , Stefan Schmid

In this paper we show how graph structure can be used to drastically reduce the computational bottleneck of the Breadth First Search algorithm (the foundation of many graph traversal techniques). In particular, we address parallel…

Data Structures and Algorithms · Computer Science 2015-11-30 Damien Fay
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