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Sampling random graphs is essential in many applications, and often algorithms use Markov chain Monte Carlo methods to sample uniformly from the space of graphs. However, often there is a need to sample graphs with some property that we are…

Social and Information Networks · Computer Science 2018-10-29 Caitlin Gray , Lewis Mitchell , Matthew Roughan

Sampling is a critical operation in Graph Neural Network (GNN) training that helps reduce the cost. Previous literature has explored improving sampling algorithms via mathematical and statistical methods. However, there is a gap between…

Machine Learning · Computer Science 2022-06-27 Xin Liu , Mingyu Yan , Shuhan Song , Zhengyang Lv , Wenming Li , Guangyu Sun , Xiaochun Ye , Dongrui Fan

We propose a unified framework for adaptive connection sampling in graph neural networks (GNNs) that generalizes existing stochastic regularization methods for training GNNs. The proposed framework not only alleviates over-smoothing and…

Graph neural networks (GNNs) learn to represent nodes by aggregating information from their neighbors. As GNNs increase in depth, their receptive field grows exponentially, leading to high memory costs. Several existing methods address this…

Machine Learning · Computer Science 2025-07-16 Taraneh Younesian , Daniel Daza , Emile van Krieken , Thiviyan Thanapalasingam , Peter Bloem

Assessing homophily in large-scale networks is central to understanding structural regularities in graphs, and thus inform the choice of models (such as graph neural networks) adopted to learn from network data. Evaluation of smoothness…

Signal Processing · Electrical Eng. & Systems 2025-12-22 Hamed Ajorlou , Gonzalo Mateos , Luana Ruiz

Graph aggregation is the process of computing a single output graph that constitutes a good compromise between several input graphs, each provided by a different source. One needs to perform graph aggregation in a wide variety of…

Artificial Intelligence · Computer Science 2018-06-13 Ulle Endriss , Umberto Grandi

Graphlets are induced subgraphs of a large network and are important for understanding and modeling complex networks. Despite their practical importance, graphlets have been severely limited to applications and domains with relatively small…

Social and Information Networks · Computer Science 2017-03-01 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

We propose a desigining method of a flexible sampling operator for graph signals via a difference-of-convex (DC) optimization algorithm. A fundamental challenge in graph signal processing is sampling, especially for graph signals that are…

Signal Processing · Electrical Eng. & Systems 2025-03-03 Keitaro Yamashita , Kazuki Naganuma , Shunsuke Ono

Graph signal sampling is the problem of selecting a subset of representative graph vertices whose values can be used to interpolate missing values on the remaining graph vertices. Optimizing the choice of sampling set using concepts from…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Ajinkya Jayawant , Antonio Ortega

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

Machine Learning · Computer Science 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

We study the problem of estimating the number of triangles in a graph stream. No streaming algorithm can get sublinear space on all graphs, so methods in this area bound the space in terms of parameters of the input graph such as the…

Data Structures and Algorithms · Computer Science 2019-04-18 John Kallaugher , Eric Price

This study addresses the issue of balancing graph summarization and graph change detection. Graph summarization compresses large-scale graphs into a smaller scale. However, the question remains: To what extent should the original graph be…

Machine Learning · Statistics 2023-12-13 Shintaro Fukushima , Kenji Yamanishi

We propose Graph Priority Sampling (GPS), a new paradigm for order-based reservoir sampling from massive streams of graph edges. GPS provides a general way to weight edge sampling according to auxiliary and/or size variables so as to…

Social and Information Networks · Computer Science 2017-03-09 Nesreen K. Ahmed , Nick Duffield , Theodore Willke , Ryan A. Rossi

Uniform sampling from graphical realizations of a given degree sequence is a fundamental component in simulation-based measurements of network observables, with applications ranging from epidemics, through social networks to Internet…

Physics and Society · Physics 2010-04-14 Charo I. Del Genio , Hyunju Kim , Zoltan Toroczkai , Kevin E. Bassler

Graph streams, which refer to the graph with edges being updated sequentially in a form of a stream, have wide applications such as cyber security, social networks and transportation networks. This paper studies the problem of summarizing…

Databases · Computer Science 2015-10-09 Nan Tang , Qing Chen , Prasenjit Mitra

Theoretical analyses for graph learning methods often assume a complete observation of the input graph. Such an assumption might not be useful for handling any-size graphs due to the scalability issues in practice. In this work, we develop…

Machine Learning · Computer Science 2021-11-08 Takanori Maehara , Hoang NT

Graph neural network (GNN) has shown convincing performance in learning powerful node representations that preserve both node attributes and graph structural information. However, many GNNs encounter problems in effectiveness and efficiency…

Machine Learning · Computer Science 2022-01-03 Jiyang Bai , Yuxiang Ren , Jiawei Zhang

Graph representation learning is gaining popularity in a wide range of applications, such as social networks analysis, computational biology, and recommender systems. However, different with positive results from many academic studies,…

Machine Learning · Statistics 2020-08-21 Young-Jin Park , Kyuyong Shin , Kyung-Min Kim

Characterizing large online social networks (OSNs) through node querying is a challenging task. OSNs often impose severe constraints on the query rate, hence limiting the sample size to a small fraction of the total network. Various ad-hoc…

Social and Information Networks · Computer Science 2013-11-14 Pinghui Wang , Bruno Ribeiro , Junzhou Zhao , John C. S. Lui , Don Towsley , Xiaohong Guan

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu