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A graph homomorphism is a map between two graphs that preserves adjacency relations. We consider the problem of sampling a random graph homomorphism from a graph into a large network. We propose two complementary MCMC algorithms for…

概率论 · 数学 2023-01-11 Hanbaek Lyu , Facundo Memoli , David Sivakoff

Many data science applications like social network analysis use graphs as their primary form of data. However, acquiring graph-structured data from social media presents some interesting challenges. The first challenge is the high data…

数据库 · 计算机科学 2019-05-22 Subhasis Dasgupta , Aditya Bagchi , Amarnath Gupta

Recent work has introduced sparse exchangeable graphs and the associated graphex framework, as a generalization of dense exchangeable graphs and the associated graphon framework. The development of this subject involves the interplay…

概率论 · 数学 2020-02-12 Christian Borgs , Jennifer T. Chayes , Henry Cohn , Victor Veitch

Where graphs are used for modelling and specifying systems, consistency is an important concern. To be a valid model of a system, the graph structure must satisfy a number of constraints. To date, consistency has primarily been viewed as a…

计算机科学中的逻辑 · 计算机科学 2021-11-02 Jens Kosiol , Daniel Strüber , Gabriele Taentzer , Steffen Zschaler

The aim of this chapter is to give an overview of the recent advances related to sampling and recovery of signals defined over graphs. First, we illustrate the conditions for perfect recovery of bandlimited graph signals from samples…

信号处理 · 电气工程与系统科学 2017-12-27 P. Di Lorenzo , S. Barbarossa , P. Banelli

We propose an adaptive version of the total variation algorithm proposed in [3] for computing the balanced cut of a graph. The algorithm from [3] used a sequence of inner total variation minimizations to guarantee descent of the balanced…

最优化与控制 · 数学 2013-02-13 Xavier Bresson , Thomas Laurent , David Uminsky , James H. von Brecht

A new approach of graph matching is introduced in this paper, which efficiently solves the problem of graph isomorphism and subgraph isomorphism. In this paper we are introducing a new approach called SubGraD, for query graph detection in…

数据结构与算法 · 计算机科学 2012-05-23 Akshara Pande , Vivekanand Pant , S. Nigam

This paper provides a new strategy for the Heterogeneous Change Detection (HCD) problem: solving HCD from the perspective of Graph Signal Processing (GSP). We construct a graph for each image to capture the structure information, and treat…

计算机视觉与模式识别 · 计算机科学 2022-08-09 Yuli Sun , Lin Lei , Dongdong Guan , Gangyao Kuang , Li Liu

How can we separate structural information from noise in large graphs? To address this fundamental question, we propose a graph summarization approach based on Szemer\'edi's Regularity Lemma, a well-known result in graph theory, which…

数据结构与算法 · 计算机科学 2019-05-22 Marco Fiorucci , Francesco Pelosin , Marcello Pelillo

Finding important edges in a graph is a crucial problem for various research fields, such as network epidemics, signal processing, machine learning, and sensor networks. In this paper, we tackle the problem based on sampling theory on…

信号处理 · 电气工程与系统科学 2024-07-16 Kenta Yanagiya , Koki Yamada , Yasuo Katsuhara , Tomoya Takatani , Yuichi Tanaka

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…

信号处理 · 电气工程与系统科学 2025-03-03 Keitaro Yamashita , Kazuki Naganuma , Shunsuke Ono

Motivated by the computational and storage challenges that dense embeddings pose, we introduce the problem of latent network summarization that aims to learn a compact, latent representation of the graph structure with dimensionality that…

社会与信息网络 · 计算机科学 2019-06-24 Di Jin , Ryan Rossi , Danai Koutra , Eunyee Koh , Sungchul Kim , Anup Rao

Getting a labeling of vertices close to the structure of the graph has been proved to be of interest in many applications e.g., to follow smooth signals indexed by the vertices of the network. This question can be related to a graph…

离散数学 · 计算机科学 2015-02-17 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

We propose a new approach, the calibrated nonparametric scan statistic (CNSS), for more accurate detection of anomalous patterns in large-scale, real-world graphs. Scan statistics identify connected subgraphs that are interesting or…

统计方法学 · 统计学 2022-06-28 Chunpai Wang , Daniel B. Neill , Feng Chen

We describe SynGraphy, a method for visually summarising the structure of large network datasets that works by drawing smaller graphs generated to have similar structural properties to the input graphs. Visualising complex networks is…

社会与信息网络 · 计算机科学 2023-02-16 Jérôme Kunegis , Pawan Kumar , Jun Sun , Anna Samoilenko , Giuseppe Pirró

Uncertain graphs are prevalent in several applications including communications systems, biological databases and social networks. The ever increasing size of the underlying data renders both graph storage and query processing extremely…

数据结构与算法 · 计算机科学 2017-05-25 Panos Parchas , Nikolaos Papailiou , Dimitris Papadias , Francesco Bonchi

Graphs have been extensively used to represent data from various domains. In the era of Big Data, information is being generated at a fast pace, and analyzing the same is a challenge. Various methods have been proposed to speed up the…

信息论 · 计算机科学 2018-06-26 Rushabh Jitendrakumar Shah

In graph transformation, a conflict describes a situation where two alternative transformations cannot be arbitrarily serialized. When enriching graphs with attributes, existing conflict detection techniques typically report a conflict…

软件工程 · 计算机科学 2015-04-13 Géza Kulcsár , Frederik Deckwerth , Malte Lochau , Gergely Varró , Andy Schürr

Can we use machine learning to compress graph data? The absence of ordering in graphs poses a significant challenge to conventional compression algorithms, limiting their attainable gains as well as their ability to discover relevant…

机器学习 · 计算机科学 2023-09-26 Giorgos Bouritsas , Andreas Loukas , Nikolaos Karalias , Michael M. Bronstein

Recently, one has seen a surge of interest in developing such methods including ones for learning such representations for (undirected) graphs (while preserving important properties). However, most of the work to date on embedding graphs…

社会与信息网络 · 计算机科学 2018-11-30 Jiankai Sun , Srinivasan Parthasarathy