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Network embeddings, which learn low-dimensional representations for each vertex in a large-scale network, have received considerable attention in recent years. For a wide range of applications, vertices in a network are typically…

Computation and Language · Computer Science 2018-08-30 Dinghan Shen , Xinyuan Zhang , Ricardo Henao , Lawrence Carin

Finding a good clustering of vertices in a network, where vertices in the same cluster are more tightly connected than those in different clusters, is a useful, important, and well-studied task. Many clustering algorithms scale well,…

Social and Information Networks · Computer Science 2011-10-18 Thomas DuBois , Jennifer Golbeck , Aravind Srinivasan

In this work, we discuss low-parametric approaches for approximating SimRank matrices, which estimate the similarity between pairs of nodes in a graph. Although SimRank matrices and their computation require a significant amount of memory,…

Numerical Analysis · Mathematics 2026-02-25 Egor P. Berezin , Robert T. Zaks , German Z. Alekhin , Stanislav V. Morozov , Sergey A. Matveev

Developing scalable solutions for training Graph Neural Networks (GNNs) for link prediction tasks is challenging due to the high data dependencies which entail high computational cost and huge memory footprint. We propose a new method for…

Machine Learning · Computer Science 2022-01-11 Nasrullah Sheikh , Xiao Qin , Berthold Reinwald , Chuan Lei

Partitioning an input graph over a set of workers is a complex operation. Objectives are twofold: split the work evenly, so that every worker gets an equal share, and minimize edge cut to achieve a good work locality (i.e. workers can work…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Le Merrer Erwan , Liang Yizhong , Trédan Gilles

Embedding learning is an important technique in deep recommendation models to map categorical features to dense vectors. However, the embedding tables often demand an extremely large number of parameters, which become the storage and…

Machine Learning · Computer Science 2022-08-15 Daochen Zha , Louis Feng , Bhargav Bhushanam , Dhruv Choudhary , Jade Nie , Yuandong Tian , Jay Chae , Yinbin Ma , Arun Kejariwal , Xia Hu

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

Spectral embedding finds vector representations of the nodes of a network, based on the eigenvectors of a properly constructed matrix, and has found applications throughout science and technology. Many networks are multipartite, meaning…

Methodology · Statistics 2025-10-27 Alexander Modell , Ian Gallagher , Joshua Cape , Patrick Rubin-Delanchy

Recent advances in the field of network embedding have shown the low-dimensional network representation is playing a critical role in network analysis. However, most of the existing principles of network embedding do not incorporate…

Social and Information Networks · Computer Science 2018-03-06 Junliang Guo , Linli Xu , Xunpeng Huang , Enhong Chen

Lying at the interface between Network Science and Machine Learning, node embedding algorithms take a graph as input and encode its structure onto output vectors that represent nodes in an abstract geometric space, enabling various…

Physics and Society · Physics 2025-10-03 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli

In machine learning, graph embedding algorithms seek low-dimensional representations of the input network data, thereby allowing for downstream tasks on compressed encodings. Recently, within the framework of network renormalization,…

Physics and Society · Physics 2025-08-29 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli

Quantum embedding is an appealing route to fragment a large interacting quantum system into several smaller auxiliary `cluster' problems to exploit the locality of the correlated physics. In this work we critically review approaches to…

Strongly Correlated Electrons · Physics 2023-07-19 Max Nusspickel , Basil Ibrahim , George H. Booth

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

Many real world networks are very large and constantly change over time. These dynamic networks exist in various domains such as social networks, traffic networks and biological interactions. To handle large dynamic networks in downstream…

Machine Learning · Computer Science 2019-11-06 Shima Khoshraftar , Sedigheh Mahdavi , Aijun An , Yonggang Hu , Junfeng Liu

There is recently a surge in approaches that learn low-dimensional embeddings of nodes in networks. As there are many large-scale real-world networks, it's inefficient for existing approaches to store amounts of parameters in memory and…

Social and Information Networks · Computer Science 2018-12-24 Zhengyan Zhang , Cheng Yang , Zhiyuan Liu , Maosong Sun , Zhichong Fang , Bo Zhang , Leyu Lin

We propose a method for approximating the contraction of a tensor network by partitioning the network into a sum of computationally cheaper networks. This method, which we call a partitioned network expansion (PNE), builds upon recent work…

Quantum Physics · Physics 2025-12-12 Glen Evenbly , Johnnie Gray , Garnet Kin-Lic Chan

The structural complexity of reservoir networks poses a significant challenge, often leading to excessive computational costs and suboptimal performance. In this study, we introduce a systematic, task specific node pruning framework that…

Computational Physics · Physics 2025-08-14 Manish Yadav , Merten Stender

Analysis and visualization of an information network can be facilitated better using an appropriate embedding of the network. Network embedding learns a compact low-dimensional vector representation for each node of the network, and uses…

Social and Information Networks · Computer Science 2018-07-05 Sambaran Bandyopadhyay , Harsh Kara , Aswin Kannan , M N Murty

Graph matching refers to finding node correspondence between graphs, such that the corresponding node and edge's affinity can be maximized. In addition with its NP-completeness nature, another important challenge is effective modeling of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Runzhong Wang , Junchi Yan , Xiaokang Yang

Information networks are ubiquitous and are ideal for modeling relational data. Networks being sparse and irregular, network embedding algorithms have caught the attention of many researchers, who came up with numerous embeddings algorithms…

Machine Learning · Computer Science 2020-09-25 Junshan Wang , Yilun Jin , Guojie Song , Xiaojun Ma