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Important graph mining problems such as Clustering are computationally demanding. To significantly accelerate these problems, we propose ProbGraph: a graph representation that enables simple and fast approximate parallel graph mining with…

This study develops a graph search algorithm to find the optimal discrimination path for the binary classification problem. The objective function is defined as the difference of variations between the true positive (TP) and false positive…

Machine Learning · Computer Science 2024-01-10 Qinwu Xu

We have a set of processors (or agents) and a set of graph networks defined over some vertex set. Each processor can access a subset of the graph networks. Each processor has a demand specified as a pair of vertices $<u, v>$, along with a…

Data Structures and Algorithms · Computer Science 2012-10-08 Venkatesan T. Chakaravarthy , Sambuddha Roy , Yogish Sabharwal

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 partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

Data Structures and Algorithms · Computer Science 2024-10-30 Willow Ahrens

This paper presents the results of an experimental study of graph partitioning. We describe a new heuristic technique, path optimization, and its application to two variations of graph partitioning: the max_cut problem and the…

Combinatorics · Mathematics 2016-09-06 Jonathan Berry , Mark Goldberg

Cell nuclei segmentation is one of the most important tasks in the analysis of biomedical images. With ever-growing sizes and amounts of three-dimensional images to be processed, there is a need for better and faster segmentation methods.…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Julian Arz , Peter Sanders , Johannes Stegmaier , Ralf Mikut

We present graph partition neural networks (GPNN), an extension of graph neural networks (GNNs) able to handle extremely large graphs. GPNNs alternate between locally propagating information between nodes in small subgraphs and globally…

Machine Learning · Computer Science 2018-03-19 Renjie Liao , Marc Brockschmidt , Daniel Tarlow , Alexander L. Gaunt , Raquel Urtasun , Richard Zemel

As networks continue to increase in size, current methods must be capable of handling large numbers of nodes and edges in order to be practically relevant. Instead of working directly with the entire (large) network, analyzing sub-networks…

Social and Information Networks · Computer Science 2025-04-03 Eric Yanchenko

The problem of finding dense components of a graph is a widely explored area in data analysis, with diverse applications in fields and branches of study including community mining, spam detection, computer security and bioinformatics. This…

Information Retrieval · Computer Science 2021-03-02 B. D. M. De Zoysa , Y. A. M. M. A. Ali , M. D. I. Maduranga , Indika Perera , Saliya Ekanayake , Anil Vullikanti

Graph filters are one of the core tools in graph signal processing. A central aspect of them is their direct distributed implementation. However, the filtering performance is often traded with distributed communication and computational…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Mario Coutino , Elvin Isufi , Geert Leus

We develop an algorithm that finds the consensus of many different clustering solutions of a graph. We formulate the problem as a median set partitioning problem and propose a greedy optimization technique. Unlike other approaches that find…

Information Retrieval · Computer Science 2024-08-22 Md Taufique Hussain , Mahantesh Halappanavar , Samrat Chatterjee , Filippo Radicchi , Santo Fortunato , Ariful Azad

Graph neural networks (GNNs) are gaining increasing popularity as a promising approach to machine learning on graphs. Unlike traditional graph workloads where each vertex/edge is associated with a scalar, GNNs attach a feature tensor to…

Machine Learning · Computer Science 2020-09-30 Yuwei Hu , Zihao Ye , Minjie Wang , Jiali Yu , Da Zheng , Mu Li , Zheng Zhang , Zhiru Zhang , Yida Wang

Inspired by the success of Google's Pregel, many systems have been developed recently for iterative computation over big graphs. These systems provide a user-friendly vertex-centric programming interface, where a programmer only needs to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-22 Da Yan , Yuzhen Huang , James Cheng , Huanhuan Wu

We study the balanced $k$-way hypergraph partitioning problem, with a special focus on its practical applications to manycore scheduling. Given a hypergraph on $n$ nodes, our goal is to partition the node set into $k$ parts of size at most…

Computational Complexity · Computer Science 2023-04-06 Pál András Papp , Georg Anegg , A. N. Yzelman

We present a novel local improvement scheme for the perfectly balanced graph partitioning problem. This scheme encodes local searches that are not restricted to a balance constraint into a model allowing us to find combinations of these…

Data Structures and Algorithms · Computer Science 2012-10-02 Peter Sanders , Christian Schulz

This paper considers the problem of distributed optimization over time-varying graphs. For the case of undirected graphs, we introduce a distributed algorithm, referred to as DIGing, based on a combination of a distributed inexact gradient…

Optimization and Control · Mathematics 2017-03-21 Angelia Nedich , Alex Olshevsky , Wei Shi

Graph data are ubiquitous in the real world. Graph learning (GL) tries to mine and analyze graph data so that valuable information can be discovered. Existing GL methods are designed for centralized scenarios. However, in practical…

Machine Learning · Computer Science 2021-05-10 Chuan Chen , Weibo Hu , Ziyue Xu , Zibin Zheng

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

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz