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Following the success of Word2Vec embeddings, graph embeddings (GEs) have gained substantial traction. GEs are commonly generated and evaluated extrinsically on downstream applications, but intrinsic evaluations of the original graph…

Machine Learning · Computer Science 2023-09-06 Hong Yung Yip , Chidaksh Ravuru , Neelabha Banerjee , Shashwat Jha , Amit Sheth , Aman Chadha , Amitava Das

Large-scale knowledge graphs are increasingly common in many domains. Their large sizes often exceed the limits of systems storing the graphs in a centralized data store, especially if placed in main memory. To overcome this, large…

Databases · Computer Science 2022-03-29 Amitabh Priyadarshi , Krzysztof J. Kochut

We present distributed algorithms for training dynamic Graph Neural Networks (GNN) on large scale graphs spanning multi-node, multi-GPU systems. To the best of our knowledge, this is the first scaling study on dynamic GNN. We devise…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-17 Venkatesan T. Chakaravarthy , Shivmaran S. Pandian , Saurabh Raje , Yogish Sabharwal , Toyotaro Suzumura , Shashanka Ubaru

The Graph Convolutional Network (GCN) model and its variants are powerful graph embedding tools for facilitating classification and clustering on graphs. However, a major challenge is to reduce the complexity of layered GCNs and make them…

Machine Learning · Computer Science 2020-08-06 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

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

Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter vector, based on…

Multiagent Systems · Computer Science 2018-06-26 Tianju Sui , Damián Marelli , Minyue Fu , Renquan Lu

Algorithms based on spectral graph cut objectives such as normalized cuts, ratio cuts and ratio association have become popular in recent years because they are widely applicable and simple to implement via standard eigenvector…

Computer Vision and Pattern Recognition · Computer Science 2014-11-27 Xiangyang Zhou , Jiaxin Zhang , Brian Kulis

Modeling information that resides on vertices of large graphs is a key problem in several real-life applications, ranging from social networks to the Internet-of-things. Signal Processing on Graphs and, in particular, graph wavelets can…

Data Structures and Algorithms · Computer Science 2016-06-14 Arlei Silva , Xuan-Hong Dang , Prithwish Basu , Ambuj K Singh , Ananthram Swami

We consider the problem of clustering graph nodes over large-scale dynamic graphs, such as citation networks, images and web networks, when graph updates such as node/edge insertions/deletions are observed distributively. We propose…

Data Structures and Algorithms · Computer Science 2018-11-16 Chun Jiang Zhu , Tan Zhu , Kam-Yiu Lam , Song Han , Jinbo Bi

Graph analytics for large scale graphs has gained interest in recent years. Many graph algorithms have been designed for vertex-centric distributed graph processing frameworks to operate on large graphs with 100 M vertices and edges, using…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-21 Diptanshu Kakwani , Yogesh Simmhan

Directed graphs are widely used to model data flow and execution dependencies in streaming applications. This enables the utilization of graph partitioning algorithms for the problem of parallelizing computation for multiprocessor…

Data Structures and Algorithms · Computer Science 2017-09-26 Orlando Moreira , Merten Popp , Christian Schulz

As with general graph processing systems, partitioning data over a cluster of machines improves the scalability of graph database management systems. However, these systems will incur additional network cost during the execution of a query…

Databases · Computer Science 2017-11-20 Hugo Firth , Paolo Missier , Jack Aiston

Graph Neural Networks (GNNs) offer a compact and computationally efficient way to learn embeddings and classifications on graph data. GNN models are frequently large, making distributed minibatch training necessary. The primary contribution…

Machine Learning · Computer Science 2024-04-22 Alok Tripathy , Katherine Yelick , Aydin Buluc

Graph partitioning (GP) and vertex connectivity have traditionally been two distinct fields of study. This paper introduces the highly connected graph partitioning (HCGP) problem, which partitions a graph into compact, size balanced, and…

Discrete Mathematics · Computer Science 2024-06-13 Rahul Swamy , Douglas M. King , Sheldon H. Jacobson

The Steiner tree problem aims to determine a minimum edge-weighted tree that spans a given set of terminal vertices from a given graph. In the past decade, a considerable number of algorithms have been developed to solve this…

Data Structures and Algorithms · Computer Science 2024-08-23 Ming Sun , Xinyu Wu , Yi Zhou , Jin-Kao Hao , Zhang-Hua Fu

Partitioning a connected graph into $k$~vertex-disjoint connected subgraphs of similar (or given) orders is a classical problem that has been intensively investigated since late seventies. Given a connected graph $G=(V,E)$ and a weight…

Data Structures and Algorithms · Computer Science 2021-08-25 Phablo F. S. Moura , Matheus J. Ota , Yoshiko Wakabayashi

Several distributed frameworks have been developed to scale Graph Neural Networks (GNNs) on billion-size graphs. On several benchmarks, we observe that the graph partitions generated by these frameworks have heterogeneous data distributions…

Machine Learning · Computer Science 2023-11-07 Dhruv Deshmukh , Gagan Raj Gupta , Manisha Chawla , Vishwesh Jatala , Anirban Haldar

Graph partitioning plays a vital role in distributedlarge-scale web graph analytics, such as pagerank and labelpropagation. The quality and scalability of partitioning strategyhave a strong impact on such communication- and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Deyu Kong , Xike Xie , Zhuoxu Zhang

We study distributed graph algorithms that adopt an iterative vertex-centric framework for graph processing, popularized by the Google's Pregel system. Since then, there are several attempts to implement many graph algorithms in a…

Databases · Computer Science 2016-12-23 Arijit Khan

The graph bisection problem is the problem of partitioning the vertex set of a graph into two sets of given sizes such that the sum of weights of edges joining these two sets is optimized. We present a semidefinite programming relaxation…

Optimization and Control · Mathematics 2016-11-23 Renata Sotirov