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Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

Machine Learning · Statistics 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

Large Language Models (LLMs) have shown promising results on various language and vision tasks. Recently, there has been growing interest in applying LLMs to graph-based tasks, particularly on Text-Attributed Graphs (TAGs). However, most…

Machine Learning · Computer Science 2024-06-10 Zhongmou He , Jing Zhu , Shengyi Qian , Joyce Chai , Danai Koutra

We introduce the link-space formalism for analyzing network models with degree-degree correlations. The formalism is based on a statistical description of the fraction of links l_{i,j} connecting nodes of degrees i and j. To demonstrate its…

Physics and Society · Physics 2009-10-08 David M. D. Smith , Chiu Fan Lee , Jukka-Pekka Onnela , Neil F. Johnson

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

Methodology · Statistics 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

The algebraic connectivity of a network characterizes the lower-bound of the exponential convergence rate of consensus processes. This paper investigates the problem of accelerating the convergence of consensus processes by adding links to…

Optimization and Control · Mathematics 2019-12-16 Zhidong He

In past ten years, modern societies developed enormous communication and social networks. Their classification and information retrieval processing become a formidable task for the society. Due to the rapid growth of World Wide Web, social…

Physics and Society · Physics 2016-07-14 Leonardo Ermann , Klaus M. Frahm , Dima L. Shepelyansky

With the rapid development of 5th Generation Mobile Communication Technology (5G), the diverse forms of collaboration and extensive data in academic social networks constructed by 5G papers make the management and analysis of academic…

Social and Information Networks · Computer Science 2021-11-17 Xiaoming Li , Guangquan Xu , Wei Yu , Pengfei Jiao , Xiangyu Song

Network analysis has become an increasingly prevalent research tool across a vast range of scientific fields. Here, we focus on the particular issue of comparing network statistics, i.e. graph-level measures of network structural features,…

Methodology · Statistics 2016-03-07 Anna Smith , Catherine A. Calder , Christopher R. Browning

We propose a nonparametric approach to link prediction in large-scale dynamic networks. Our model uses graph-based features of pairs of nodes as well as those of their local neighborhoods to predict whether those nodes will be linked at…

Machine Learning · Statistics 2013-11-19 Purnamrita Sarkar , Deepayan Chakrabarti , Michael Jordan

Graph embedding methods aim at finding useful graph representations by mapping nodes to a low-dimensional vector space. It is a task with important downstream applications, such as link prediction, graph reconstruction, data visualization,…

Machine Learning · Computer Science 2022-09-13 Said Kerrache , Hafida Benhidour

The study of complex networks is a significant development in modern science, and has enriched the social sciences, biology, physics, and computer science. Models and algorithms for such networks are pervasive in our society, and impact…

Machine Learning · Computer Science 2022-06-08 C. Seshadhri , Aneesh Sharma , Andrew Stolman , Ashish Goel

Networks are ubiquitous in the real world. Link prediction, as one of the key problems for network-structured data, aims to predict whether there exists a link between two nodes. The traditional approaches are based on the explicit…

Machine Learning · Computer Science 2021-06-01 Wei Wu , Bin Li , Chuan Luo , Wolfgang Nejdl

The problem of link prediction, predicting if two nodes in a network have a connection between them, is a theoretical problem with numerous field-agnostic real-world applications. This paper investigates the efficacy of three classes of…

Social and Information Networks · Computer Science 2023-06-23 Vivian Feng

In the paper, we consider the problem of link prediction in time-evolving graphs. We assume that certain graph features, such as the node degree, follow a vector autoregressive (VAR) model and we propose to use this information to improve…

Machine Learning · Statistics 2012-09-17 Emile Richard , Stephane Gaiffas , Nicolas Vayatis

Link prediction is a key problem for network-structured data. Link prediction heuristics use some score functions, such as common neighbors and Katz index, to measure the likelihood of links. They have obtained wide practical uses due to…

Machine Learning · Computer Science 2018-11-21 Muhan Zhang , Yixin Chen

Exploring the application of large language models (LLMs) to graph learning is a emerging endeavor. However, the vast amount of information inherent in large graphs poses significant challenges to this process. This work focuses on the link…

Computation and Language · Computer Science 2024-02-21 Baolong Bi , Shenghua Liu , Yiwei Wang , Lingrui Mei , Xueqi Cheng

Graph link prediction is an important task in cyber-security: relationships between entities within a computer network, such as users interacting with computers, or system libraries and the corresponding processes that use them, can provide…

Applications · Statistics 2022-08-10 Francesco Sanna Passino , Melissa J. M. Turcotte , Nicholas A. Heard

The link prediction task on knowledge graphs without explicit negative triples in the training data motivates the usage of rank-based metrics. Here, we review existing rank-based metrics and propose desiderata for improved metrics to…

Machine Learning · Computer Science 2022-04-20 Charles Tapley Hoyt , Max Berrendorf , Mikhail Galkin , Volker Tresp , Benjamin M. Gyori

Convex optimization is an essential tool for modern data analysis, as it provides a framework to formulate and solve many problems in machine learning and data mining. However, general convex optimization solvers do not scale well, and…

Social and Information Networks · Computer Science 2015-07-02 David Hallac , Jure Leskovec , Stephen Boyd

Estimating the matrix of connections probabilities is one of the key questions when studying sparse networks. In this work, we consider networks generated under the sparse graphon model and the in-homogeneous random graph model with missing…

Statistics Theory · Mathematics 2021-04-28 Solenne Gaucher , Olga Klopp
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