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Spectral inference on multiple networks is a rapidly-developing subfield of graph statistics. Recent work has demonstrated that joint, or simultaneous, spectral embedding of multiple independent networks can deliver more accurate estimation…

Popular network models such as the mixed membership and standard stochastic block model are known to exhibit distinct geometric structure when embedded into $\mathbb{R}^{d}$ using spectral methods. The resulting point cloud concentrates…

Statistics Theory · Mathematics 2021-10-15 Vinesh Solanki , Patrick Rubin-Delanchy , Ian Gallagher

Knowledge graph embedding models (KGEMs) developed for link prediction learn vector representations for entities in a knowledge graph, known as embeddings. A common tacit assumption is the KGE entity similarity assumption, which states that…

Artificial Intelligence · Computer Science 2024-03-29 Nicolas Hubert , Heiko Paulheim , Armelle Brun , Davy Monticolo

Research on information diffusion generally assumes complete knowledge of the underlying network. However, in the presence of factors such as increasing privacy awareness, restrictions on application programming interfaces (APIs) and…

Social and Information Networks · Computer Science 2015-05-22 Václav Belák , Afra Mashhadi , Alessandra Sala , Donn Morrison

Despite being very successful within the pattern recognition and machine learning community, graph-based methods are often unusable because of the lack of mathematical operations defined in graph domain. Graph embedding, which maps graphs…

Computer Vision and Pattern Recognition · Computer Science 2020-01-07 Anjan Dutta , Pau Riba , Josep Lladós , Alicia Fornés

It is well known that networks generated by common mechanisms such as preferential attachment and homophily can disadvantage the minority group by limiting their ability to establish links with the majority group. This has the effect of…

Social and Information Networks · Computer Science 2021-12-21 Xindi Wang , Onur Varol , Tina Eliassi-Rad

Multi-layer networks arise naturally in various domains including biology, finance and sociology, among others. The multi-layer stochastic block model (multi-layer SBM) is commonly used for community detection in the multi-layer networks.…

Statistics Theory · Mathematics 2024-06-18 Wenqing Su , Xiao Guo , Ying Yang

We propose an agent-based network formation model under uncertainty with the objective of relaxing the common assumption of complete information, calling attention to the role beliefs may play in segregation. We demonstrate that our model…

Social and Information Networks · Computer Science 2021-05-12 D. Kai Zhang , Alexander Carver

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

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

Homophily, the tendency of individuals who are alike to form ties with one another, is an important concept in the study of social networks. Yet accounting for homophily effects is complicated in the context of bipartite networks where ties…

Social and Information Networks · Computer Science 2023-12-12 Rashmi P. Bomiriya , Alina R. Kuvelkar , David R. Hunter , Steffen Triebel

Are Graph Neural Networks (GNNs) fair? In many real world graphs, the formation of edges is related to certain node attributes (e.g. gender, community, reputation). In this case, standard GNNs using these edges will be biased by this…

Machine Learning · Computer Science 2020-02-26 John Palowitch , Bryan Perozzi

We investigate the unsupervised node classification problem on random hypergraphs under the non-uniform Hypergraph Stochastic Block Model (HSBM) with two equal-sized communities. In this model, edges appear independently with probabilities…

Statistics Theory · Mathematics 2025-12-01 Hai-Xiao Wang

Learning representations from multiplex graphs, i.e., multi-layer networks where nodes interact through multiple relation types, is challenging due to the entanglement of shared (common) and layer-specific (private) information, which…

Machine Learning · Computer Science 2026-03-26 Saba Nasiri , Selin Aviyente , Dorina Thanou

Often in language and other areas of cognition, whether two components of an object are identical or not determines if it is well formed. We call such constraints identity effects. When developing a system to learn well-formedness from…

Machine Learning · Computer Science 2022-03-03 S. Brugiapaglia , M. Liu , P. Tupper

We study how information transmission biases arise by the interplay between the structural properties of the network and the dynamics of the information in synthetic scale-free homophilic/heterophilic networks. We provide simple…

Physics and Society · Physics 2022-03-21 Fernando Diaz-Diaz , Maxi San Miguel , Sandro Meloni

Graph representation learning (also called graph embeddings) is a popular technique for incorporating network structure into machine learning models. Unsupervised graph embedding methods aim to capture graph structure by learning a…

Social and Information Networks · Computer Science 2022-01-24 Andrew Stolman , Caleb Levy , C. Seshadhri , Aneesh Sharma

Many machine learning approaches are characterized by information constraints on how they interact with the training data. These include memory and sequential access constraints (e.g. fast first-order methods to solve stochastic…

Machine Learning · Computer Science 2014-10-29 Ohad Shamir

We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of topologically embedded graphs is non-restrictive…

Other Condensed Matter · Physics 2015-03-19 Tomaso Aste , Ruggero Gramatica , T. Di Matteo

Padding tokens are widely used in large language models (LLMs) to equalize sequence lengths during batched inference. While they should be fully masked, implementation errors can cause them to influence computation, and the extent of this…

Computation and Language · Computer Science 2025-10-07 Rom Himelstein , Amit LeVi , Yonatan Belinkov , Avi Mendelson