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Graphs are useful structures that can model several important real-world problems. Recently, learning graphs have drawn considerable attention, leading to the proposal of new methods for learning these data structures. One of these studies…

Machine Learning · Computer Science 2020-01-07 Amir Jalilifard , Vinicius Caridá , Alex Mansano , Rogers Cristo

Graph representation learning has drawn increasing attention in recent years, especially for learning the low dimensional embedding at both node and graph level for classification and recommendations tasks. To enable learning the…

Machine Learning · Computer Science 2022-01-20 Tiehua Zhang , Yuze Liu , Xin Chen , Xiaowei Huang , Feng Zhu , Xi Zheng

Bipartite networks manifest as a stream of edges that represent transactions, e.g., purchases by retail customers. Many machine learning applications employ neighborhood-based measures to characterize the similarity among the nodes, such as…

Social and Information Networks · Computer Science 2018-05-09 Nesreen K. Ahmed , Nick Duffield , Liangzhen Xia

Single particle tracking allows probing how biomolecules interact physically with their natural environments. A fundamental challenge when analysing recorded single particle trajectories is the inverse problem of inferring the physical…

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different spanning trees to a set of destinations, has been argued to…

Statistical Mechanics · Physics 2007-05-23 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

In this study, we focus on the graph representation learning (a.k.a. network embedding) in attributed graphs. Different from existing embedding methods that treat the incorporation of graph structure and semantic as the simple combination…

Social and Information Networks · Computer Science 2023-05-12 Meng Qin

Random walk based distributed algorithms make use of a token that circulates in the system according to a random walk scheme to achieve their goal. To study their efficiency and compare it to one of the deterministic solutions, one is led…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-07-24 Alain Bui , Devan Sohier

We present a novel quasi-Monte Carlo mechanism to improve graph-based sampling, coined repelling random walks. By inducing correlations between the trajectories of an interacting ensemble such that their marginal transition probabilities…

Machine Learning · Statistics 2024-05-27 Isaac Reid , Eli Berger , Krzysztof Choromanski , Adrian Weller

Partially-observed network data collected by link-tracing based sampling methods is often being studied to obtain the characteristics of a large complex network. However, little attention has been paid to sampling from directed networks…

Social and Information Networks · Computer Science 2014-05-28 Mostafa Salehi , Hamid R. Rabiee

SimRank is a similarity measure between vertices in a graph, which has become a fundamental technique in graph analytics. Recently, many algorithms have been proposed for efficient evaluation of SimRank similarities. However, the existing…

Databases · Computer Science 2015-12-10 Rong Zhu , Zhaonian Zou , Jianzhong Li

We consider the problem of selecting important nodes in a random network, where the nodes connect to each other randomly with certain transition probabilities. The node importance is characterized by the stationary probabilities of the…

Methodology · Statistics 2019-01-14 Haidong Li , Xiaoyun Xu , Yijie Peng , Chun-Hung Chen

We present the analytical and numerical results of a random walk on the family of small-world graphs. The average access time shows a crossover from the regular to random behavior with increasing distance from the starting point of the…

Statistical Mechanics · Physics 2009-10-31 Sagar A. Pandit , R. E. Amritkar

A random walk is known as a random process which describes a path including a succession of random steps in the mathematical space. It has increasingly been popular in various disciplines such as mathematics and computer science.…

Social and Information Networks · Computer Science 2020-08-11 Feng Xia , Jiaying Liu , Hansong Nie , Yonghao Fu , Liangtian Wan , Xiangjie Kong

Community detection is a classical problem in the field of graph mining. While most algorithms work on the entire graph, it is often interesting in practice to recover only the community containing some given set of seed nodes. In this…

Social and Information Networks · Computer Science 2016-11-08 Alexandre Hollocou , Thomas Bonald , Marc Lelarge

Graph embedding techniques have led to significant progress in recent years. However, present techniques are not effective enough to capture the patterns of networks. This paper propose neighbor2vec, a neighbor-based sampling strategy used…

Social and Information Networks · Computer Science 2022-01-11 Zhiming Lin

A class of random graph models is considered, combining features of exponential-family models and latent structure models, with the goal of retaining the strengths of both of them while reducing the weaknesses of each of them. An open…

Computation · Statistics 2020-07-21 Sergii Babkin , Jonathan Stewart , Xiaochen Long , Michael Schweinberger

This paper introduces new techniques for sampling attributed networks to support standard Data Mining tasks. The problem is important for two reasons. First, it is commonplace to perform data mining tasks such as clustering and…

Social and Information Networks · Computer Science 2017-02-24 Suhansanu Kumar , Hari Sundaram

As large graph datasets become increasingly common across many fields, sampling is often needed to reduce the graphs into manageable sizes. This procedure raises critical questions about representativeness as no sample can capture the…

Social and Information Networks · Computer Science 2025-02-25 Alan Zhu , Jiaqi Ma , Qiaozhu Mei

In this paper, we introduce a novel unsupervised, graph-based filter feature selection technique which exploits the power of topologically constrained network representations. We model dependency structures among features using a family of…

Machine Learning · Computer Science 2023-07-04 Antonio Briola , Tomaso Aste
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