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Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

Network embedding assigns nodes in a network to low-dimensional representations and effectively preserves the network structure. Recently, a significant amount of progresses have been made toward this emerging network analysis paradigm. In…

Social and Information Networks · Computer Science 2017-11-27 Peng Cui , Xiao Wang , Jian Pei , Wenwu Zhu

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

Low-dimensional embeddings are a cornerstone in the modelling and analysis of complex networks. However, most existing approaches for mining network embedding spaces rely on computationally intensive machine learning systems to facilitate…

Social and Information Networks · Computer Science 2024-10-04 Alexandros Xenos , Noel-Malod Dognin , Natasa Przulj

Hypergraph data appear and are hidden in many places in the modern age. They are data structure that can be used to model many real data examples since their structures contain information about higher order relations among data points. One…

Social and Information Networks · Computer Science 2020-10-02 Dong Quan Ngoc Nguyen , Lin Xing , Lizhen Lin

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

Many data-rich industries are interested in the efficient discovery and modelling of structures underlying large data sets, as it allows for the fast triage and dimension reduction of large volumes of data embedded in high dimensional…

Algebraic Topology · Mathematics 2019-09-30 Yossi Bokor , Daniel Grixti-Cheng , Markus Hegland , Stephen Roberts , Katharine Turner

Network embedding methods aim at learning low-dimensional latent representation of nodes in a network. While achieving competitive performance on a variety of network inference tasks such as node classification and link prediction, these…

Social and Information Networks · Computer Science 2018-09-17 Haochen Chen , Xiaofei Sun , Yingtao Tian , Bryan Perozzi , Muhao Chen , Steven Skiena

Network-linked data, where multivariate observations are interconnected by a network, are becoming increasingly prevalent in fields such as sociology and biology. These data often exhibit inherent noise and complex relational structures,…

Methodology · Statistics 2025-09-11 Jianxiang Wang , Can M. Le , Tianxi Li

We propose a novel approach for preserving topological structures of the input space in latent representations of autoencoders. Using persistent homology, a technique from topological data analysis, we calculate topological signatures of…

Machine Learning · Computer Science 2021-06-01 Michael Moor , Max Horn , Bastian Rieck , Karsten Borgwardt

A common approach to modeling networks assigns each node to a position on a low-dimensional manifold where distance is inversely proportional to connection likelihood. More positive manifold curvature encourages more and tighter…

Methodology · Statistics 2023-01-03 Shane Lubold , Arun G. Chandrasekhar , Tyler H. McCormick

The use of Variational Autoencoders in different Machine Learning tasks has drastically increased in the last years. They have been developed as denoising, clustering and generative tools, highlighting a large potential in a wide range of…

Machine Learning · Computer Science 2019-07-12 Helena Andrés-Terré , Pietro Lió

Word embedding models offer continuous vector representations that can capture rich contextual semantics based on their word co-occurrence patterns. While these word vectors can provide very effective features used in many NLP tasks such as…

Computation and Language · Computer Science 2017-02-27 Cem Safak Sahin , Rajmonda S. Caceres , Brandon Oselio , William M. Campbell

Multi-label classification aims to classify instances with discrete non-exclusive labels. Most approaches on multi-label classification focus on effective adaptation or transformation of existing binary and multi-class learning approaches…

Machine Learning · Computer Science 2019-01-03 Piotr Szymański , Tomasz Kajdanowicz , Nitesh Chawla

Uncovering latent community structure in complex networks is a field that has received an enormous amount of attention. Unfortunately, whilst potentially very powerful, unsupervised methods for uncovering labels based on topology alone has…

Social and Information Networks · Computer Science 2018-06-29 James P Gilbert , Jamie Twycross

Network embedding methods map a network's nodes to vectors in an embedding space, in such a way that these representations are useful for estimating some notion of similarity or proximity between pairs of nodes in the network. The quality…

Social and Information Networks · Computer Science 2022-02-02 Alexandru Mara , Jefrey Lijffijt , Tijl De Bie

One of the main methods for computational interpretation of a text is mapping it into a vector in some embedding space. Such vectors can then be used for a variety of textual processing tasks. Recently, most embedding spaces are a product…

Computation and Language · Computer Science 2023-11-10 Adi Simhi , Shaul Markovitch

Appropriately representing elements in a database so that queries may be accurately matched is a central task in information retrieval; recently, this has been achieved by embedding the graphical structure of the database into a manifold in…

Machine Learning · Statistics 2023-07-10 Yueqi Cao , Athanasios Vlontzos , Luca Schmidtke , Bernhard Kainz , Anthea Monod

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel

Network embedding is an effective technique to learn the low-dimensional representations of nodes in networks. Real-world networks are usually with multiplex or having multi-view representations from different relations. Recently, there has…

Machine Learning · Computer Science 2022-03-08 Qifan Wang , Yi Fang , Anirudh Ravula , Ruining He , Bin Shen , Jingang Wang , Xiaojun Quan , Dongfang Liu