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We present FastRP, a scalable and performant algorithm for learning distributed node representations in a graph. FastRP is over 4,000 times faster than state-of-the-art methods such as DeepWalk and node2vec, while achieving comparable or…

Social and Information Networks · Computer Science 2019-09-02 Haochen Chen , Syed Fahad Sultan , Yingtao Tian , Muhao Chen , Steven Skiena

Latent space models are effective tools for statistical modeling and exploration of network data. These models can effectively model real world network characteristics such as degree heterogeneity, transitivity, homophily, etc. Due to their…

Methodology · Statistics 2017-08-21 Zhuang Ma , Zongming Ma

We consider the task of linking social media accounts that belong to the same author in an automated fashion on the basis of the content and metadata of their corresponding document streams. We focus on learning an embedding that maps…

Social and Information Networks · Computer Science 2021-05-18 Aleem Khan , Elizabeth Fleming , Noah Schofield , Marcus Bishop , Nicholas Andrews

The problem of missing link prediction in complex networks has attracted much attention recently. Two difficulties in link prediction are the sparsity and huge size of the target networks. Therefore, the design of an efficient and effective…

Data Analysis, Statistics and Probability · Physics 2010-04-23 Weiping Liu , Linyuan Lu

We study the problem of selecting a subset of k random variables from a large set, in order to obtain the best linear prediction of another variable of interest. This problem can be viewed in the context of both feature selection and sparse…

Machine Learning · Statistics 2011-02-28 Abhimanyu Das , David Kempe

Network alignment consists of finding a structure-preserving correspondence between the nodes of two correlated, but not necessarily identical, networks. This problem finds applications in a wide variety of fields, from the alignment of…

Social and Information Networks · Computer Science 2019-05-23 Mikhail Hayhoe , Francisco Barreras , Hamed Hassani , Victor M. Preciado

Link prediction -- a task of distinguishing actual hidden edges from random unconnected node pairs -- is one of the quintessential tasks in graph machine learning. Despite being widely accepted as a universal benchmark and a downstream task…

Social and Information Networks · Computer Science 2024-05-30 Rachith Aiyappa , Xin Wang , Munjung Kim , Ozgur Can Seckin , Jisung Yoon , Yong-Yeol Ahn , Sadamori Kojaku

Learning embeddings from large-scale networks is an open challenge. Despite the overwhelming number of existing methods, is is unclear how to exploit network structure in a way that generalizes easily to unseen nodes, edges or graphs. In…

Machine Learning · Computer Science 2020-09-29 Nurudin Alvarez-Gonzalez , Andreas Kaltenbrunner , Vicenç Gómez

Spectral embedding of graphs uses the top k non-trivial eigenvectors of the random walk matrix to embed the graph into R^k. The primary use of this embedding has been for practical spectral clustering algorithms [SM00,NJW02]. Recently,…

Probability · Mathematics 2018-09-10 Russell Lyons , Shayan Oveis Gharan

This paper provides a new similarity detection algorithm. Given an input set of multi-dimensional data points, where each data point is assumed to be multi-dimensional, and an additional reference data point for similarity finding, the…

Artificial Intelligence · Computer Science 2017-07-12 Yariv Aizenbud , Amir Averbuch , Gil Shabat , Guy Ziv

Link prediction is one of the central problems in graph mining. However, recent studies highlight the importance of higher-order network analysis, where complex structures called motifs are the first-class citizens. We first show that…

Many algorithms have been proposed for fitting network models with communities, but most of them do not scale well to large networks, and often fail on sparse networks. Here we propose a new fast pseudo-likelihood method for fitting the…

Social and Information Networks · Computer Science 2013-11-06 Arash A. Amini , Aiyou Chen , Peter J. Bickel , Elizaveta Levina

We consider the graph link prediction task, which is a classic graph analytical problem with many real-world applications. With the advances of deep learning, current link prediction methods commonly compute features from subgraphs centered…

Machine Learning · Computer Science 2020-10-21 Lei Cai , Jundong Li , Jie Wang , Shuiwang Ji

Sequence classification algorithms, such as SVM, require a definition of distance (similarity) measure between two sequences. A commonly used notion of similarity is the number of matches between $k$-mers ($k$-length subsequences) in the…

Data Structures and Algorithms · Computer Science 2017-12-13 Muhammad Farhan , Juvaria Tariq , Arif Zaman , Mudassir Shabbir , Imdad Ullah Khan

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Predicting links in complex networks has been one of the essential topics within the realm of data mining and science discovery over the past few years. This problem remains an attempt to identify future, deleted, and redundant links using…

Social and Information Networks · Computer Science 2021-05-21 Kamal Berahmand , Elahe Nasiri , Saman Forouzandeh , Yuefeng Li

For graph classification tasks, many traditional kernel methods focus on measuring the similarity between graphs. These methods have achieved great success on resolving graph isomorphism problems. However, in some classification problems,…

Machine Learning · Computer Science 2021-02-18 Jianming Huang , Hiroyuki Kasai

Recently, network embedding that encodes structural information of graphs into a vector space has become popular for network analysis. Although recent methods show promising performance for various applications, the huge sizes of graphs may…

Social and Information Networks · Computer Science 2019-07-18 Esra Akbas , Mehmet Aktas

We propose a general approach to the description of spectra of complex networks. For the spectra of networks with uncorrelated vertices (and a local tree-like structure), exact equations are derived. These equations are generalized to the…

Statistical Mechanics · Physics 2009-11-10 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes , A. N. Samukhin

We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Capocci , Vito D. P. Servedio , Guido Caldarelli , Francesca Colaiori