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Real-world graphs are massive in size and we need a huge amount of space to store them. Graph compression allows us to compress a graph so that we need a lesser number of bits per link to store it. Of many techniques to compress a graph, a…

Social and Information Networks · Computer Science 2021-05-13 Muhammad Irfan Yousuf , Izza Anwer , Muhammad Abid

Graph representation learning plays an important role in many graph mining applications, but learning embeddings of large-scale graphs remains a problem. Recent works try to improve scalability via graph summarization -- i.e., they learn…

Machine Learning · Computer Science 2022-07-05 Houquan Zhou , Shenghua Liu , Danai Koutra , Huawei Shen , Xueqi Cheng

Training of Relational Graph Convolutional Networks (R-GCN) is a memory intense task. The amount of gradient information that needs to be stored during training for real-world graphs is often too large for the amount of memory available on…

Machine Learning · Computer Science 2022-03-22 Alessandro Generale , Till Blume , Michael Cochez

We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations,…

Methodology · Statistics 2015-02-18 Hao Chen , Nancy Zhang

The goal of graph summarization is to represent large graphs in a structured and compact way. A graph summary based on equivalence classes preserves pre-defined features of a graph's vertex within a $k$-hop neighborhood such as the vertex…

Machine Learning · Computer Science 2022-12-09 Maximilian Blasi , Manuel Freudenreich , Johannes Horvath , David Richerby , Ansgar Scherp

Can one reduce the size of a graph without significantly altering its basic properties? The graph reduction problem is hereby approached from the perspective of restricted spectral approximation, a modification of the spectral similarity…

Data Structures and Algorithms · Computer Science 2019-01-01 Andreas Loukas

Are users of an online social network interested equally in all connections in the network? If not, how can we obtain a summary of the network personalized to specific users? Can we use the summary for approximate query answering? As…

Databases · Computer Science 2022-03-29 Shinhwan Kang , Kyuhan Lee , Kijung Shin

Monitoring network traffic data to detect any hidden patterns of anomalies is a challenging and time-consuming task that requires high computing resources. To this end, an appropriate summarization technique is of great importance, where it…

Machine Learning · Computer Science 2021-12-21 Samira Ghodratnama , Mehrdad Zakershahrak , Fariborz Sobhanmanesh

Conformal prediction provides rigorous, distribution-free uncertainty guarantees, but often yields prohibitively large prediction sets in structured domains such as routing, planning, or sequential recommendation. We introduce "graph-based…

Machine Learning · Computer Science 2026-03-31 Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala , Aravindan Vijayaraghavan

Graph matching---aligning a pair of graphs to minimize their edge disagreements---has received wide-spread attention from both theoretical and applied communities over the past several decades, including combinatorics, computer vision, and…

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

Methodology · Statistics 2021-03-05 Lizhen Nie , Dan L. Nicolae

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci

Graph condensation, which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has immediate benefits for various graph learning tasks. However, existing graph condensation methods rely…

Machine Learning · Computer Science 2023-10-24 Xin Zheng , Miao Zhang , Chunyang Chen , Quoc Viet Hung Nguyen , Xingquan Zhu , Shirui Pan

Sampling is a standard approach in big-graph analytics; the goal is to efficiently estimate the graph properties by consulting a sample of the whole population. A perfect sample is assumed to mirror every property of the whole population.…

Social and Information Networks · Computer Science 2014-03-18 Nesreen K. Ahmed , Nick Duffield , Jennifer Neville , Ramana Kompella

Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

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

Various graphs such as web or social networks may contain up to trillions of edges. Compressing such datasets can accelerate graph processing by reducing the amount of I/O accesses and the pressure on the memory subsystem. Yet, selecting a…

Data Structures and Algorithms · Computer Science 2019-04-30 Maciej Besta , Torsten Hoefler

Large-scale graphs are valuable for graph representation learning, yet the abundant data in these graphs hinders the efficiency of the training process. Graph condensation (GC) alleviates this issue by compressing the large graph into a…

Machine Learning · Computer Science 2024-07-11 Yilun Liu , Ruihong Qiu , Zi Huang

A structural graph summary is a small graph representation that preserves structural information necessary for a given task. The summary is used instead of the original graph to complete the task faster. We introduce multi-view structural…

Data Structures and Algorithms · Computer Science 2024-12-23 Jonatan Frank , Andor Diera , David Richerby , Ansgar Scherp

Online social network services provide a platform for human social interactions. Nowadays, many kinds of online interactions generate large-scale social network data. Network analysis helps to mine knowledge and pattern from the…

Social and Information Networks · Computer Science 2021-02-19 Andry Alamsyah , Yahya Peranginangin , Intan Muchtadi-Alamsyah , Budi Rahardjo , Kuspriyanto