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A common approach to solving prediction tasks on large networks, such as node classification or link prediction, begin by learning a Euclidean embedding of the nodes of the network, from which traditional machine learning methods can then…

Machine Learning · Statistics 2022-12-20 Andrew Davison

Graph embedding provides a feasible methodology to conduct pattern classification for graph-structured data by mapping each data into the vectorial space. Various pioneering works are essentially coding method that concentrates on a…

Machine Learning · Computer Science 2022-10-04 Xue Liu , Dan Sun , Xiaobo Cao , Hao Ye , Wei Wei

Predicting unobserved entries of a partially observed matrix has found wide applicability in several areas, such as recommender systems, computational biology, and computer vision. Many scalable methods with rigorous theoretical guarantees…

Machine Learning · Statistics 2018-02-15 Vatsal Shah , Nikhil Rao , Weicong Ding

Representation learning of static and more recently dynamically evolving graphs has gained noticeable attention. Existing approaches for modelling graph dynamics focus extensively on the evolution of individual nodes independently of the…

Machine Learning · Computer Science 2021-05-12 Simeon Spasov , Alessandro Di Stefano , Pietro Lio , Jian Tang

A matrix network is a family of matrices, with relatedness modeled by a weighted graph. We consider the task of completing a partially observed matrix network. We assume a novel sampling scheme where a fraction of matrices might be…

Machine Learning · Computer Science 2018-06-11 Qingyun Sun , Mengyuan Yan David Donoho , Stephen Boyd

We consider the task of learning latent community structure from multiple correlated networks. First, we study the problem of learning the latent vertex correspondence between two edge-correlated stochastic block models, focusing on the…

Statistics Theory · Mathematics 2021-07-15 Miklos Z. Racz , Anirudh Sridhar

Detection of overlapping communities in complex networks has motivated recent research in the relevant fields. Aiming this problem, we propose a Markov dynamics based algorithm, called UEOC, which means, 'unfold and extract overlapping…

Social and Information Networks · Computer Science 2013-03-25 Di Jin , Bo Yang , Carlos Baquero , Dayou Liu , Dongxiao He , Jie Liu

The aim of this paper is to check feasibility of using the maximal-entropy random walk in algorithms finding communities in complex networks. A number of such algorithms exploit an ordinary or a biased random walk for this purpose. Their…

Physics and Society · Physics 2013-02-05 Jeremi K. Ochab , Zdzisław Burda

Real-world data usually have high dimensionality and it is important to mitigate the curse of dimensionality. High-dimensional data are usually in a coherent structure and make the data in relatively small true degrees of freedom. There are…

Machine Learning · Computer Science 2021-03-12 Xiang Wang , Xiaoyong Li , Junxing Zhu , Zichen Xu , Kaijun Ren , Weiming Zhang , Xinwang Liu , Kui Yu

In this work, we study the utility of graph embeddings to generate latent user representations for trust-based collaborative filtering. In a cold-start setting, on three publicly available datasets, we evaluate approaches from four method…

Social and Information Networks · Computer Science 2021-02-02 Tomislav Duricic , Hussain Hussain , Emanuel Lacic , Dominik Kowald , Denis Helic , Elisabeth Lex

Computing the probability of an edge's existence in a graph network is known as link prediction. While traditional methods calculate the similarity between two given nodes in a static network, recent research has focused on evaluating…

Social and Information Networks · Computer Science 2023-05-29 Kazi Zainab Khanam , Aditya Singhal , Vijay Mago

Graph embedding methods are becoming increasingly popular in the machine learning community, where they are widely used for tasks such as node classification and link prediction. Embedding graphs in geometric spaces should aid the…

Graphs (networks) are ubiquitous and allow us to model entities (nodes) and the dependencies (edges) between them. Learning a useful feature representation from graph data lies at the heart and success of many machine learning tasks such as…

As KGs are symbolic constructs, specialized techniques have to be applied in order to make them compatible with data mining techniques. RDF2Vec is an unsupervised technique that can create task-agnostic numerical representations of the…

Graph embedding methods represent nodes in a continuous vector space, preserving information from the graph (e.g. by sampling random walks). There are many hyper-parameters to these methods (such as random walk length) which have to be…

Machine Learning · Computer Science 2018-12-27 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou , Alex Alemi

In this paper, we present subgraph2vec, a novel approach for learning latent representations of rooted subgraphs from large graphs inspired by recent advancements in Deep Learning and Graph Kernels. These latent representations encode…

Machine Learning · Computer Science 2016-06-30 Annamalai Narayanan , Mahinthan Chandramohan , Lihui Chen , Yang Liu , Santhoshkumar Saminathan

Spectral algorithms are some of the main tools in optimization and inference problems on graphs. Typically, the graph is encoded as a matrix and eigenvectors and eigenvalues of the matrix are then used to solve the given graph problem.…

Statistics Theory · Mathematics 2024-10-28 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon

Learning topological representation of a network in dynamic environments has recently attracted considerable attention due to the time-evolving nature of many real-world networks i.e. nodes/links might be added/removed as time goes on.…

Social and Information Networks · Computer Science 2019-07-30 Chengbin Hou , Han Zhang , Ke Tang , Shan He

Recovering low-rank structures via eigenvector perturbation analysis is a common problem in statistical machine learning, such as in factor analysis, community detection, ranking, matrix completion, among others. While a large variety of…

Statistics Theory · Mathematics 2019-05-06 Emmanuel Abbe , Jianqing Fan , Kaizheng Wang , Yiqiao Zhong

Using edge weights is essential for modeling real-world systems where links possess relevant information, and preserving this information in low-dimensional representations is relevant for classification and prediction tasks. This paper…

Social and Information Networks · Computer Science 2025-08-12 Adilson Vital , Filipi N. Silva , Diego R. Amancio
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